{"text":"Question: ((-2945)\/(-2356))\/(5\/6)*(-3)\/((-54)\/44)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4 (b) 0.3 (c) 0 (d) 0.2 (e) 184\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 18, 25, 42, 75, 130, 213?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3678617?\nAnswer: 3678617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5518780246.\nAnswer: 2, 7, 13043, 30223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, 0, -4, -2\/11 in increasing order.\nAnswer: -4, -2\/11, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be -7 + (3460\/5190)\/(((-20)\/18)\/1)*-15. Let 0 + 1\/5*s**4 + 4\/5*s**3 + 2\/5*s + s**z = 0. What is s?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -63.122 times -0.7?\nAnswer: 44.1854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 557.65902 rounded to the nearest 10?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.026 - 7.026. Put 2\/5, a, -3, -0.3 in increasing order.\nAnswer: a, -3, -0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z + 8. Let a be i(6). Suppose -a*s + 18 = 3*x, -2 = 2*s - 3*x + x. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5491823 to the power of 1\/2, to the nearest integer?\nAnswer: 2343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 69031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1653590357?\nAnswer: 17, 97270021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -91\/491334316 and -91\/491334316?\nAnswer: 491334316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 161588?\nAnswer: 2, 7, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 195443522 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**3*w*((w*w\/w**(-5\/9))\/w)\/w*w*w**(-9)*w**(3\/17)\/w assuming w is positive.\nAnswer: w**(-653\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -4*x + 115. What is b(0)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 19*d - 3*d**2 + 31 + 2*d**2 - 8*d. Calculate the remainder when a(11) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*d - 23*d + d + 5*d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -14002*r**2 + 114*r*x - 3623687*x with respect to r.\nAnswer: -28004*r + 114*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b + 5*v = 30, 2*b + 10 = -v + 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.04 in -4\/3, 26, -10, 113, 7\/9?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, w: 7, t: 1, m: 4, h: 3}. Give prob of sequence fm.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 35, 53, 49, 23, -25?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 419 minutes before 5:06 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -67\/24 and -65\/5874.\nAnswer: 23496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 75b0 - 72b?\nAnswer: 6a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 396 and 485496.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((-111)\/74)\/(6\/(-52)) is divided by (-33)\/(-9) + (-2)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the third derivative of -s**5\/30 - s**4\/12 + s**3\/3 - 7*s**2. Let q be n(-2). Is 485\/q*(-12)\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yoyyyyyyyyyyyyy.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1173223665 + 0?\nAnswer: -1173223665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 258*u**4 - 8*u**2 - 8*u - 47. Let d(j) = 172*j**4 - 5*j**2 - 5*j - 31. Let w(l) = -8*d(l) + 5*r(l). What is the derivative of w(i) wrt i?\nAnswer: -344*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**(-15))\/v)\/(v*v**(2\/3)\/v*v) assuming v is positive.\nAnswer: v**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/9 in -0.9, 99, -0.4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 + 2)*2 - 3\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -149522868*b**6 + 12055*b**2 - 208*b?\nAnswer: -17942744160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-254)\/30 + 4\/(-12). Let s = b + 504\/55. Determine q so that -4\/11 - 6\/11*q**3 + s*q**2 + 6\/11*q = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = x + 24. Calculate h(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-1)\/(-6)*-4)\/(20\/(-8)) and 2\/(-9)*7\/(1386\/(-605))?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34 + 26 = -f. Let n(c) = c**2 - 7*c - 4. Let h be n(f). Solve 5*s + 7*l + 20 = h*l, -10 = 2*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 131\/131*3\/(39\/(-2)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = 9*s - 9*s. What is the closest to s in 5, 0.2, 0.03, -106?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 26\/8315559 and 33\/2?\nAnswer: 16631118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -1, -58969, 1, 2 in decreasing order.\nAnswer: 2, 1, -1, -4, -58969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(171)*-2)**2 - (1 + 5*sqrt(171)).\nAnswer: -15*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/i**(-24))\/i**(4\/21))\/(i**9\/(i*i**(-9\/4))) assuming i is positive.\nAnswer: i**(1223\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 5732 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k**3 - 3*k**2 + 2. Determine s(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 128 and 5825144.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11*55\/121 - (-27 + -1)\/(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 82\/33 and ((-56)\/(-92))\/(-7) + (-8228)\/(-18975).\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7\/1468 - -2985\/10276. Sort -1\/12, 118, b, -5.\nAnswer: -5, -1\/12, b, 118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (24 - 24 + 10*v)*(15140*v + 62*v**3 - 15140*v)*(3 - 3 - 2*v).\nAnswer: -1240*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -8 - 0. What is the second derivative of -p*s - s + 7*s**2 - 6*s**2 wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 3 - 27 = 0. Let p be (-12 - 6)*(1 - k\/(-6)). Solve 3*z - p = -0*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find b such that b**3\/2 - 28*b**2\/3 - 295*b\/6 - 46\/3 = 0.\nAnswer: -4, -1\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 6296, 12586, 18842, 25052, 31204, 37286?\n\"Answer: -2*z**3 - 5*z**2 + 6319*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g = -n - 19, 0 = -2*n - 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c**3\/9 - 1390*c**2\/3 - 4168*c\/9 = 0. Calculate c.\nAnswer: -2084, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 256\/24*1260\/(-280)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - -49) + (48 - ((60 - 32) + 33)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from yygruygy.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1926 and 48578?\nAnswer: 437202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((2\/3)\/(-2))\/((-2)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1.2 in -0.2, -2.6, 11, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g - 24 = 2*g. Let m(l) = 15 - 1 - 3*l - 4*l**2 + 3*l**2 - g*l. Let i be m(-10). Solve 0 = -i*j - 5*b + 15, -5*j + 4*b - 10 = 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 4}. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 2 - 0 - (-49 + 66 - (19 + -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -11000101001 (base 2) to base 4\nAnswer: -120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -58*i**3\/7 - 680*i**2 - 328*i\/7.\nAnswer: -2*i*(i + 82)*(29*i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.12 - 1.9.\nAnswer: -2.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of -15 and -8623.\nAnswer: 129345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 3*g + 2. Let q be a(-2). Let x(d) = -3*d - 4. Let k be x(q). What is the remainder when (46\/k)\/((-2)\/(-8)) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -9.6 * -292.847.\nAnswer: 2811.3312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -26*h**2 + 1532*h + 86. Calculate r(59).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 45, -251, -0.0209, 3\/2, 1 in decreasing order.\nAnswer: 45, 3\/2, 1, -0.0209, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 49*s**3 - s + 2. Let u be i(-2). Let o = -366 - u. What is the remainder when 195 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -262132163\/16 or -16383261?\nAnswer: -262132163\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-3))\/((-12)\/(-90)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is g in -6*g - 3\/2*g**2 + 6*g**3 + 3\/2 = 0?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11.5555 days in milliseconds?\nAnswer: 998395200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.713*-4\nAnswer: 2.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 45 and 265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -17? (a) -0.4 (b) -4 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -13 by -12023.\nAnswer: 13\/12023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*d**2\/17 - 53324*d\/17 - 1174096\/17.\nAnswer: 2*(d - 26684)*(d + 22)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -254166471 - 1?\nAnswer: -254166472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36*i + 31*i = -135. Calculate the greatest common divisor of i and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 9.410459 milligrams?\nAnswer: 9410.459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v\/(v\/(v\/(v*v**(-4\/7)\/v)))*v**(2\/9))\/(v*v**(1\/2))**(-11) assuming v is positive.\nAnswer: v**(2431\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*z - 1963 + 1963.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -5 - 23*i**2 - 23*i**2 + 94*i**2 - 30*i**2 - 19*i**2 + 4*i. Let w = 12 + -8. Suppose -w*h - 4 = -5*d, -3*h - 4*d + d = -24. Calculate o(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:21 AM and 4:29 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h*h\/((h**(-1\/37)*h)\/h))\/h)\/h)\/h**(-10) assuming h is positive.\nAnswer: h**(371\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k\/k**(-39))*k)\/k*k**(-23)*(k*k**(2\/35))\/(k\/k**(-32)) assuming k is positive.\nAnswer: k**(-3288\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.13 * -555.8.\nAnswer: 72.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -17 - -39. Let c = -0.057 + -21.183. Let l = s + c. Round l to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**3 - o**2 + 2*o - 3. Let m be q(2). Let y = 774\/1379 + 2\/197. Put m, y, -0.5 in increasing order.\nAnswer: -0.5, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -11372972.00046 - -11373087. Let j = 115 - v. What is j rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 895893.1 milliseconds?\nAnswer: 895893100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 18\/392029 and -41\/22473?\nAnswer: 3528261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18017.\nAnswer: 43, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v*v**(3\/5)*v)*v**(-4)*v\/(v\/(v\/v**(-1\/5))*v*v)*v*v\/v**0)\/((v**(-1))**(-24)\/(v**(2\/23)\/v**(-1\/6))) assuming v is positive.\nAnswer: v**(-19421\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 13 - (-29 + -14 + 15 + 17).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1 - -1. Suppose 3*w = -2*i + 46, k = 2*w + 3*w + 5*i - 75. Suppose w = -19*t + 23*t. Solve 0 = -t*b + 3*d - 1, 4*d - 2 = -5*b - 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 245472 is divided by 17532.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = -473 - -617. What is the common denominator of -53\/56 and -2 + 2 - 29\/(13398\/y)?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 502 minutes before 8:40 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -298 at most as big as -14220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 368146985.\nAnswer: 5, 17, 254773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -4*o**2 - 81*o + 10761. Give d(-63).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1011011110001 + 0?\nAnswer: -1011011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3)\/(-12) + (-33)\/(-12). What is the first derivative of -398*j**m - 3*j + 3*j + 410*j**3 + 3 wrt j?\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 46*r**3 - 16*r + 26. Let q be y(9). Suppose -q = -2*w + 56584. What is w rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 915 and 345?\nAnswer: 21045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7 - m**2 + 5 + 17*m - 4*m**2.\nAnswer: -5*m**2 + 17*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 25988*n + 816021 + 405203 = -961768 for n.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-19)\/((-2052)\/420) + 636\/(-108) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes before 5:41 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7696728*r**2 - 5*r - 302758?\nAnswer: 15393456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:44 AM and 7:44 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 63350 (base 8) to base 2\nAnswer: 110011011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*k**2 + k**2 + 7*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -71, 3, 4, -1\/8, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2401\/33 - -804\/11. Let o = 7\/5 - 9\/10. What is the closest to -1\/3 in l, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/30*((-3168)\/16)\/(-22)*19\/(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(7) - (sqrt(7) + sqrt(7) + 3 + -5 + sqrt(7)))**2 + 2 + -2.\nAnswer: -8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**2 - 7*v. Let h be w(-6). Let p = -2 - -1. Let z = p + h. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -15 (b) -676 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b**2\/3 + 6 = 0 for b.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -u**2 + 3*u - 1. Let x(i) = -179*i**2 - 18*i + 27. Let s(g) = 6*v(g) + x(g). What is the derivative of s(l) wrt l?\nAnswer: -370*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + sqrt(27) + -4 - ((sqrt(27)*-1)\/sqrt(9) + -5*sqrt(9)\/sqrt(3)).\nAnswer: -9 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 - 926666443?\nAnswer: -926666443.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k be -7*(144\/(-280) - (-12)\/15). Sort 0, -3, k, -4 in increasing order.\nAnswer: -4, -3, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((sqrt(68) - (sqrt(68) + 4 + (sqrt(68) - sqrt(68)*-2))) + sqrt(68)).\nAnswer: -4*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18174 is divided by 8443?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the third derivative of -o**7\/525 + o**6\/300 - 21*o**2. Determine i, given that p(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 206033*o**3*t**3 - 2*o**2*t**2 + 2*o*t**3 - 5243*t**3 - 4*t wrt o.\nAnswer: 1236198*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 83*i + 92*i + i - 19. Let v be b(-3). Let x = v + 787. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(1*sqrt(1377) + 1 + (-3*(sqrt(1377) + 2 - sqrt(1377)) - sqrt(1377))))**2 - (-5 + sqrt(1377) + sqrt(1377) + sqrt(1377)*-3 + 2 + 3)**2.\nAnswer: -1352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 8, r: 3, g: 3, a: 3}. What is prob of picking 1 g and 1 a?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*o + 2*o + 3*o)*(13 + 0 - 3)*(75 + 61 + 51) in the form x*o + i and give x.\nAnswer: 1870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = -8.2 - -6.2. What is the third biggest value in c, -2\/9, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 94.59 - 94.99. What is the closest to 0.8 in o, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-7440)\/(-775))\/(20\/(-125)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -41232 (base 6) in base 9?\nAnswer: -7472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 2)*(-1406 - 1159 + 3105)*((-3 + 4 + 0)*(5*v + 0*v - 3*v) + 2*v - 3*v + 0*v + 30 + 9*v - 30 + 0 + 2*v + 0).\nAnswer: -12960*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) be the third derivative of 0 - 1\/24*r**4 + 0*r + 0*r**3 + 0*r**5 + 17*r**2 + 0*r**6 - 1\/30*r**7. Find the second derivative of g(w) wrt w.\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 45 divide 556913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2964 is divided by 149.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 464553*p**2 - 477363 wrt p.\nAnswer: 929106*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 4 - 11 + (2 + 0 - 1)*(1 + 4 - 4) - 4 + 4 + 2 - 1 - 3 + 5)*(2*t**2 + 0*t + 0*t) in the form w*t**2 + s + p*t and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6760 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = 9 - 6. Suppose x*b - 14 = 67. Let z = b - 25. Solve -z*y + 7*y + 15 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 19724715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 40 and 1587195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -16358 - -16354. What is the nearest to 0.1 in 1, k, 14.7, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:52 AM and 10:52 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 53.41744 less than 1147540?\nAnswer: 1147486.58256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z - 330 = -210*o, -141 = -3*z - 1837*o + 1834*o for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 4*m + 4 = 0, -2*m + 2 = -2*s - 0*m. Let n be (-7)\/((-21)\/30) + s. Solve 0 = 5*k - n - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 140\/50*(-2)\/(4\/5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 461, 1842, 4143, 7364, 11505, 16566, 22547?\nAnswer: 29448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22 is divided by ((-28)\/(-63))\/(2\/36).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 1698 = -2*z + 2050, -q + 919 = -4*z. Calculate the greatest common factor of 68 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*x - 4*l + 288 + 114, -326 = 4*x - l. What is the common denominator of -1 + 0 + x\/(-9) and 3*(-9)\/(810\/55)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -110 from -20.8343.\nAnswer: 89.1657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*f - 2*f + 2*f)*(-6*f**2 + 5*f**2 + 0*f**2 + 2*f - 2*f - 2*f**2 + (-4 - 1 + 7)*(-f + 2*f**2 + f) + f - f + 2*f**2)*(-8*f - 8*f + 0*f).\nAnswer: -144*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 3 - (9 + -1 + -12 + -6)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -75 (base 13) in base 4?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 106094519 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 266532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -4647*f + 416. Is k(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 1822*0.0146\nAnswer: 26.6012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 20*m - 41. Let h(f) = 7*f - 14. Let u(a) = -3*g(a) + 8*h(a). Let d(s) = -s + 3. Let p(v) = -22*d(v) + 6*u(v). Let r(i) = -3*i. Determine r(p(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = 25684 + -25684.5. Let t = 5 - 2. Suppose 2*h + 7 = -u + 2, -2*h + t*u = -15. What is the second smallest value in m, 0.01, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3, -2\/25, 5364, -2\/51, 56, -2\/15, 0?\nAnswer: 5364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange j + 0*j - 5*j**4 - 17*j**3 - 3970*j**2 + 18*j**3 + 18 + 3978*j**2 to the form h*j + a + d*j**4 + f*j**2 + n*j**3 and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1.15 and -0.02?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -32\/147 - -27\/49. Which is the nearest to 2.03? (a) -2\/7 (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the first derivative of 122*g**6\/3 - 144*g**2 - 86. Find the second derivative of u(v) wrt v.\nAnswer: 4880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 27.8 + -140.8. Let f = 113.000149 + m. Round f to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -14230, -14819, -15804, -17185, -18962, -21135?\n\"Answer: -198*l**2 + 5*l - 14037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4866733 and 17877.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -2 times 0.15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2 + -350?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 749291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7, 13, 47, 95, 157, 233, 323?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 34, 0, 2, -253, -1.\nAnswer: -253, -1, 0, 1, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 1179, 5644, 13083, 23496, 36883?\n\"Answer: 1487*o**2 + 4*o - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -11, -5, 2, -2, -9, 13 in ascending order.\nAnswer: -11, -9, -5, -2, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -375*i**3 + 679*i**3 + 200*i**3 + 369*i**3 + 328*i**3.\nAnswer: 1201*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 873.9894 decades?\nAnswer: 104878.728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -29 (base 12) to base 10\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5.279569 centuries in years?\nAnswer: 527.9569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 450 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 217 minutes before 12:05 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 80291*h**3 + 2*h**2 + 55154?\nAnswer: 481746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -354433301 + -5?\nAnswer: -354433310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let -14*b**2 - 936*b\/5 + 8136\/5 = 0. What is b?\nAnswer: -678\/35, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 582, 2, -16 in increasing order.\nAnswer: -16, 2, 582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -43066 = 4221*u + 61600 + 9301 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*w + 2*w + 2*w**2 + (2*w + 0*w + 0*w)*(-10*w + 47 - 47).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(6050) + 0)**2.\nAnswer: 6050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (23 - 23 + 94*q)*(2 - q**2 - 2) + 0*q**3 - q**3 + 3*q**3 + 0*q**2 + 2*q**3 + 0*q**2 + (2 + 4*q**2 - 2)*(-3*q + q + 3*q).\nAnswer: -86*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 27322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 136*r = -s + 141*r - 25, -2*s - 18 = -2*r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 234799070839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 15 = 4*c, -2*t = 1 - 3. Suppose -2*j - 7 = 1, 0 = -3*o + c*j + 28. Solve -o*y = 3*a + 2*a, 2*y = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 2*b**2 - 2*b - 3. Let p = -481 + 485. Calculate q(p).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -8 - -7 - (-1 - 2). Suppose -5*k = 6*c - 2*c - 77, 29 = y*k + c. Calculate the remainder when 38 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -2*b**3 + 5*b**2 - 4*b + 5. Determine d(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 55648 and 542864?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0018708201 to five decimal places.\nAnswer: 0.00187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -77 (b) 1\/6 (c) -0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 213 (base 4) to base 5\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = -18*v - 106 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5623525?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 33444, 33447, 33450, 33453, 33456?\n\"Answer: 3*x + 33441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 27 - 32. Let n = 18 - v. Let a = n + -18. Solve -d - 8 = 4*g + 1, 2*g = -d - a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c + 2 - 8. Let o be ((-20)\/(-12)*6)\/2. Solve -o*y - 16 = c*k + 9, 4*k + y = -23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 2*j - 6. Suppose 2*x + 3*u = 45, -15*x = -16*x - 4*u + 30. Calculate the remainder when x is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = m**2 - m. Let n(j) = -5*j**2 + 3*j + 2. Let i be 0 + -1 + 10\/(-2). Let x(c) = i*s(c) - 2*n(c). Differentiate x(d) with respect to d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -5\/21111376 and 65\/110724.\nAnswer: 63334128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = x**2 - 9*x - 6. Let q be h(10). What is the third derivative of 48*c**3 - 2*c - q*c**2 + 56*c**6 + 3*c**2 - 48*c**3 wrt c?\nAnswer: 6720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*m**4 - 2*m**3 - 1516330*m**2 + 10784886 wrt m.\nAnswer: 8*m**3 - 6*m**2 - 3032660*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -n**2. Let l(s) = s - 3. Calculate l(i(u)).\nAnswer: -u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:26 AM and 6:08 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1345, 1341, 1359, 1411, 1509?\n\"Answer: 2*a**3 - a**2 - 15*a + 1359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -2241 (base 11) to base 9\nAnswer: -4036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 3*j**2 - 20*j. Let z = 81 + -79. Suppose 0 = 5*l + o - 34, z*l - l = 4*o + 11. Let f be b(l). Which is smaller: f or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39*u - 35 = 32*u. Suppose -6*a = -a + 2*c - 21, -a = -u*c + 12. Solve a*q + i - 5 = 0, 3*i = -4*q - i + 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-52)\/(-14) + 4\/14. Suppose -2*f = -0 - t. List the prime factors of -2 + (f*13)\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -5*j**2 + 4*j - 6. Let q(b) = -11*b**2 + 9*b - 11. What is -7*d(g) + 3*q(g)?\nAnswer: 2*g**2 - g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = 17 - 16. Let i = 10 - 7. Let l = 2 - i. Sort l, -2, t in ascending order.\nAnswer: -2, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -268*b + 74521 = 97569 for b.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1192 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -100*p + 765 + 351 + 84. Calculate the greatest common divisor of 31188 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -964, -2 in ascending order.\nAnswer: -964, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the first derivative of -14*x**2 + 10 - 7*x - 2*x - 11*x. What is the first derivative of a(k) wrt k?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 61866832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 220 by -17.\nAnswer: -220\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*s**3 - s**3 - 3*s**3)*(-3*s + s + 0*s) - 14*s**4 + 26*s**4 + 3*s**4.\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.458 + 1492.542. Let u = -1493.000999 + w. Round u to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5 - 921309*i**2 + 0 - 22594*i + 5 + 921311*i**2 to v*i**2 + z + q*i and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 29.345859 months to centuries.\nAnswer: 0.0244548825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 164 and 14105558?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 42954 + 11297. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2843495823.\nAnswer: 3, 7, 4159, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -2*i + 1. Let c(k) be the first derivative of 1\/2*k**2 + k + 5. Let x(z) = -2*a(z) - 6*c(z). What is the first derivative of x(h) wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 21913 - 21915. Put d, -23, 19, 2 in decreasing order.\nAnswer: 19, 2, d, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 2*b + 3. Let l be (-868)\/(-63) + 2\/9. Let x be -7 + l + (3 - 4). What are the prime factors of h(x)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1 + 558363?\nAnswer: 558364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/15 in 1\/4, -0.5, 0.3, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 592 minutes before 5:08 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a**4 + 44*a**3 + 6*a**2 - 136*a + 88 = 0.\nAnswer: -2, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = c - 4*p, 3*p = -2*c + 3 - 14. Suppose c*s = 0, 10 = -2*w + 5*s - 12. Let r(x) = 2*x**3 + 13*x. Let o(q) = q**3 + 7*q. Determine w*o(t) + 6*r(t).\nAnswer: t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - (-8)\/(-24))\/(3\/72).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*d**2\/5 - 6*d\/5 - 8\/5 = 0. Calculate d.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -38\/7, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cggggggpg. What is prob of picking 1 p and 1 g?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 351406, 362474, 380928, 406774, 440018, 480666?\n\"Answer: s**3 + 3687*s**2 + 347718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.46 or -35557?\nAnswer: -35557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (5280\/1872)\/(-6*(-4)\/9) and 48\/13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -57*c - 558 - 17 = -81*r + 82*r, 3*r - 6 + 41 = -2*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 - 26 = -2*m. What is the highest common divisor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -n**3 + 6*n**2 - 2*n - 2. Suppose 0 = -4*q + 3*q + 2. Determine c(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -27*h - 214. Let r(s) = -5*s - 39. Let k(v) = 2*l(v) - 11*r(v). Let n(j) = -2*j + 8. Give -6*k(z) + n(z).\nAnswer: -8*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -5*t + 3*t + 12*t + 5*t - 19 - t**2. List the prime factors of f(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -675 + 678. Suppose -7*l + 11*l = -s*j + 3462, -5*j + 5770 = -l. What are the prime factors of j?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 113aa - -3?\nAnswer: 113ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:43 AM and 11:14 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(2\/9))**26 assuming x is positive.\nAnswer: x**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -69 - -606?\nAnswer: 56a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 30 = -n. Let s(y) = -y**2 - 7*y - 3. What is s(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1341496 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4 + 0. Let c(r) = u + 9*r**3 - 19*r**3 + 9*r**3 + 3*r. What are the prime factors of c(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 5648 or -0.9?\nAnswer: 5648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = -494 - -578. Suppose -19*r - u = -25*r. Solve 0 = -i + 4*s + r - 1, i - s - 1 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 158 minutes before 3:11 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2 - (-3 + (-3)\/1). Suppose h = -w - 8. Suppose -7*o + 55 = -11*o + 5*x, 0 = -2*o + 5*x - 25. Is w less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the second derivative of -5*j**3\/3 + 449*j - 2. Let q(f) be the second derivative of f**3\/6 + f. Calculate q(t(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w**2 - 66*w + 1138. Calculate k(24).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -336250966940*n + 336250966934*n - 4 + 4.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.931896 millennia to centuries.\nAnswer: 59.31896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*g**2 + 0*g**2 - 3*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = r**2 - r - 1. Let s(f) = 8*f**2 - 4*f - 6. Let m(v) = 6*q(v) - s(v). Let y be 12\/5 - 6\/15. Determine m(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -164, -1149, -3758, -8783, -17016, -29249, -46274, -68883?\nAnswer: -97868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 130*x**3 + 15*x**2 - 2*x**5 + 9*x**4 - 103*x**3 - x**5.\nAnswer: -3*x**2*(x - 5)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -6071150*q**2. Let u(r) = -32*r. Give u(i(p)).\nAnswer: 194276800*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of 89.8 and -5.\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -w**2 + w + 1. Let q(o) = 5 - 1 - 4*o**2 + 4*o + 3. Let n = 394 + -254. Let c = n + -146. Calculate c*m(j) + q(j).\nAnswer: 2*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*o - o**2 + 74 - 36 - 38.\nAnswer: -o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 68 (c) 1\/6 (d) 650 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 + 5210?\nAnswer: 5204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = -4*r - u, 0 = -15*r + 11*r - 5*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 103763, 103761, 103759, 103757?\n\"Answer: -2*d + 103765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let -z**5\/4 + 15*z**4\/4 - 18*z**3 + 28*z**2 = 0. What is z?\nAnswer: 0, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-240)\/55)\/((-944)\/7788).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -r + 3*z - 28, 2*r - 2*z = -231 + 211 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 117 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000046854717 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 141 + 10.2?\nAnswer: 151.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 5305210026 to the power of 1\/2, to the nearest integer?\nAnswer: 72837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -5*d. Let v(z) = -44*z**2. What is q(v(x))?\nAnswer: 220*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y. Let z(c) = c - 197. Calculate z(h(n)).\nAnswer: -n - 197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -i + v + 19, -v + 7 - 2 = 0. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 143934577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply 9280.28 and 115.\nAnswer: 1067232.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*c - 5*k + 75, 246*c - 233*c - 263 = 4*k for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -9679 divided by 5?\nAnswer: -9679\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -16, -35, -66, -109?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 264 = 264. Let i(a) be the first derivative of a**2\/2 + 25*a - 1. Calculate the remainder when i(x) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 245 - 240. Suppose 3*j + m*n - 8 = -j, -2*j - 2*n = -4. Solve -8 = j*l - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 4 + 0 + sqrt(11) + sqrt(66)\/(sqrt(18)\/sqrt(3)) + sqrt(11) + -5.\nAnswer: -5 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + 9 + -14 + 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence by when two letters picked without replacement from {b: 1, w: 1, h: 1, y: 4, m: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/3, 2860, -6\/5?\nAnswer: 2860","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -88, 0.9, -1\/2 in descending order.\nAnswer: 0.9, -1\/2, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 284 (base 15) to base 16\nAnswer: 23e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v = 2*l, 101*l = 106*l - 2*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (((-3)\/12)\/((-1)\/(-150)))\/((-63531)\/(-169416))\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2158 - 2164. Let d be ((-93)\/30)\/((-2)\/(-5)) + 2. Is d >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -l**3 - 4*l**2 + l - 2. Suppose 5*b + 26 = -21*n + 24*n, 5*n = -2*b + 2. Give g(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41 minutes before 2:24 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sum -1072 and -604679743.\nAnswer: -604680815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 20413, 20736, 21053, 21364, 21669, 21968?\nAnswer: 22261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2 + 6. Suppose -2*y = s - 5, 0 = 3*y - z*y + s + 4. Suppose y = 3*f - 3. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 316*g - 288*g - 2513588 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -562472*x**2*z**2 - 31950*x**2*z - z**2 wrt z?\nAnswer: -1124944*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.121? (a) -0.7 (b) 64\/9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6897, -27601, -62107, -110415?\nAnswer: -172525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-1992)\/(-10))\/((-5)\/(-25)). Suppose 3*r - q = -3*y, -863 = -4*r - 2*y + 469. What are the prime factors of r?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mqllqmmmqmmqqllmm. What is prob of picking 3 m and 1 l?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(4\/9)*g**(-5\/2))\/(g**(-2\/9)*g**(-12)) assuming g is positive.\nAnswer: g**(61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -6, 42397.691, 3\/8?\nAnswer: 42397.691","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x - 5*x = 0. Let y be (2 - 410\/(-15))*(-6)\/(-2). Suppose 0 = 10*f + f - y. Solve x = 5*l + f + 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 53a - -5?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-24) - (17\/(-6) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 0.2114*-0.04219\nAnswer: -0.008918966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 11727, -2\/7, -5.\nAnswer: -5, -2\/7, 11727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 29615 and 4353405.\nAnswer: 4353405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 119 and 37443078.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 5, u: 8}. What is prob of picking 3 d and 1 u?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 12 - (0 + -1 + 3) - (251 + -253)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is g in -16*g**5 + 76*g**4 - 48*g**3 - 256*g**2 + 448*g - 192 = 0?\nAnswer: -2, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x + 0*u = -5*u + u + 7*u - 81, 3*x + 37 = u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 10584 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: Calculate the remainder when 158 is divided by 35.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v**3 + 2 - v**3 - 4*v**2 + v**3 - v - v. Suppose q + 2 = -a, 0 = -3*q + 3*a - 7 - 11. Calculate the lowest common multiple of 14 and k(q).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -83*b**2 - 265*b + 265. Let a be x(1). Are -72 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3.255 - 3.305. What is the nearest to 2\/7 in 0.1, w, 5, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40 = p - 0*p. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the third derivative of w**4\/24 - w**3\/6 - 29*w**2. Let q be (-2)\/6 + (-7)\/(-3). Give d(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*n - 5*n - 5*v - 32 = 0, 5*n = -4*v + 80. Suppose -5*a + 3*j - 66 = -8*a, 4*j = 5*a - 155. Suppose a = n*c - 13*c. Which is smaller: 7 or c?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 2, o: 3, n: 10}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-20))\/((-12)\/16)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 16837 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the first derivative of 6*p + 27\/2*p**2 + 4*p**3 + 24. Factor h(t).\nAnswer: 3*(t + 2)*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1636*v**2 - 3*v + v + 2*v + 6166*v**2 + 6136 - 6138.\nAnswer: 4530*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2359 + 18*c + 3*c**2 - c**2 + 2339 to j*c**2 + q*c + z and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.66 - -1.6597825. What is i rounded to 6 decimal places?\nAnswer: -0.000218","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -d**2. Let y(o) = 37224*o**2. Determine y(l(i)).\nAnswer: 37224*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((39\/((-8424)\/(-54)))\/(471\/8))\/(1\/(-3))?\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 606332, 1212662, 1818994, 2425328, 3031664, 3638002, 4244342?\n\"Answer: k**2 + 606327*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 0*d = 5*z - 11, 0 = 2*d + 4*z - 10. Suppose c - d*c = -42. Suppose 2*n - 25 = -3*r + 8, 0 = -2*n + r + c. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*j**2 + 144*j + 148.\nAnswer: -4*(j - 37)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.2 - 0.4. Let y = v - -0.7. Let n = 6 + -5. Put -0.1, n, y in ascending order.\nAnswer: -0.1, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 125*j + 1926 = -61*j - 28*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 250*j*k**3 + 8463*j*k**2 - 43*j*k - 2*j - k**2 - 11574*k wrt k?\nAnswer: 1500*j*k + 16926*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5910 and 5319.\nAnswer: 53190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -801*y**3 - 799*y**3 + 4788*y**3 - 800*y**3 - 795*y**3 - 792*y**3 - 800*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 2032*c - 724*c - 477*c + 3237*c as z + s*c and give s.\nAnswer: 4068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:37 PM and 7:18 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 194 minutes before 10:10 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the first derivative of -12*r**2 + 96*r + 12 + 1\/2*r**3. Suppose q(l) = 0. What is l?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*z - 84 - 598*z + 84.\nAnswer: -614*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -335, -673, -1015, -1361?\nAnswer: -1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -618, -1207, -1794, -2379, -2962?\nAnswer: -3543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 73 + -68. Let j be 1\/(32\/(-11) + 3). Let a = -10 + j. Sort o, a, 4 in descending order.\nAnswer: o, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((2925\/(-520))\/((-27)\/6))\/(((-513)\/24)\/9)\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**2 - 59*g - 141. Determine v(61).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -10 + 16. Suppose 0 = s - t*s. Let n = 4 - s. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 595 minutes after 12:13 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 2046711 by -3.\nAnswer: -682237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n**2 + 6*n. Let u(i) = i**2 + 1. Let s(l) = k(l) - u(l). Determine s(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = j**2 - j - 1. Let f(t) = 2*t - 3*t + 10*t + 6 + t - t**2. Let u(y) = -f(y) - 2*p(y). What is the remainder when 13 is divided by u(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 1464, 1469, 1474, 1479, 1484, 1489?\n\"Answer: 5*j + 1459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sum 1 and 40499698.7.\nAnswer: 40499699.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45 = -0*h - 5*h. Suppose -5*d + h = -6. Solve z - 4*t = 20, -23 + 3 = -2*z + d*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 14 = -6, -c + 4*x + 2312 = 0. Calculate the highest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/31 in -0.1, 5, -3175, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 2, -6200 in decreasing order.\nAnswer: 2, 1, -6200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) 0.3 (b) 0.21 (c) -0.4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 29925187 and 85347.\nAnswer: 3161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 69088.477 rounded to the nearest 10?\nAnswer: 69090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57*y = 69*y - 468. Let f = 130 + -90. Let i = y - f. Let d(o) = 2*o. Calculate d(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -11*t**3 - 6*t**2 - 9*t + 6. Let v(l) = 4*l**3 + 2*l**2 + 3*l - 2. What is 8*v(i) + 3*y(i)?\nAnswer: -i**3 - 2*i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -228, -1260, -3094, -5730, -9168?\n\"Answer: -401*t**2 + 171*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2968 + -1075. Let h = 4214273 + -59026369\/14. Let v = h + i. Calculate the common denominator of v and -11\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 350625.\nAnswer: 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-16)\/(-16)*(-8)\/144.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -310, -314, -318, -322, -326, -330?\n\"Answer: -4*p - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h**3 - 8*h**2 - 6*h + 7. Suppose 0*n + 21 = -3*n. Let i be k(n). Suppose 0 = 5*d - i*d - 50. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -704 + -12254.831?\nAnswer: -12958.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r - 2*r = -w - 89, -4*w = -r + 34. Let d = r - 1. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttttcrtttrtuuuc. Give prob of picking 2 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11614.8 + -11615. Sort -39, u, 4, 2\/9, -5 in increasing order.\nAnswer: -39, -5, u, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 108 (base 14) to base 16.\nAnswer: cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 2*t**2 - 8*t - 14. Suppose 10 = -6*v + 46. Let m be g(v). Calculate the greatest common factor of 70 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 2, v: 2, c: 5, n: 8}. What is prob of picking 2 n?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25744.\nAnswer: 2, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = 452 + -482. Calculate the common denominator of 128\/96 + 361\/y and 11\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 71 = 3*f, 10*f - 5*f - 139 = 2*k. What is the second derivative of 5*q + 13*q**4 - f*q - 74*q wrt q?\nAnswer: 156*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = d + 3*d - 49, 3*y + 21 = 3*d. Let k = d - 7. Is (1\/k)\/(4\/564) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 92, 232, 372, 512, 652, 792?\nAnswer: 932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 916806.6ng in tonnes?\nAnswer: 0.0000000009168066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/(-2) - (-3)\/6. Let m(c) = -2*c**2 - c + 5. Let s(b) = 1. What is x*m(a) - 3*s(a)?\nAnswer: -2*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1378508?\nAnswer: 2, 31, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = 138 + -135. What is the biggest value in 5, 14, j?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {q: 6, b: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -58*l + 40*l + 3600 = -118*l for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 6*l + 2. Let k be g(-2). What is the common denominator of -43\/12 and (-4)\/k + 258\/(-20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 117.5 * 756.51\nAnswer: 88889.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.132442 rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 13872 divided by -1?\nAnswer: -13872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 25121234 (base 6) to base 10\nAnswer: 803830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22*p + 29*p**2 + 37*p - 15*p.\nAnswer: 29*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1279 - -1515. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -11 (base 3) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/5, 202, -10, -4 in decreasing order.\nAnswer: 202, 2\/5, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -176*d - 353702 + 353702 + 3*d - 4*d - d + (2*d - 4*d + 0*d)*(-2 + 1 + 3).\nAnswer: -182*d","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Let c = -20.46 - -1.96. Let s = c - -18.6. Which is greater: s or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 375 (base 13) to base 10.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the second derivative of z**4\/12 + 5*z**3\/3 + 3*z**2 - 9*z. Let f = -1 + 3. Let v(q) = 3*q + 2. What is f*d(p) - 7*v(p)?\nAnswer: 2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5035 - -5034.9995075. Round v to five decimal places.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*f**2 - 10*f**2 - 3*f**2 + (12 - 14*f + 21 - 34)*((-f - 2 + 2)*(-2 + 0 - 1) + f - f + f).\nAnswer: -65*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Are -1630 and -1624 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 655 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000981217825 rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1624 divided by -4?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -71 - 119 - 81*u**3 + 128 wrt u?\nAnswer: -243*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 573846215 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3011 + -121101023133?\nAnswer: -121101032210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3044 - 3044.00020496. What is s rounded to 6 dps?\nAnswer: -0.000205","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 6*u = 6. Suppose -u*l + 2*l + c = -183, 3*c = -2*l + 81. Calculate the greatest common factor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1114189 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 502762038 to the power of 1\/2, to the nearest integer?\nAnswer: 22422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) be the third derivative of -f**5\/20 - f**4\/12 + 2*f**3\/3 - 35*f**2. Give x(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 11 = 1. Suppose -132 = -4*a - 0*a. What is the highest common factor of r and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the first derivative of -t**4\/4 + 14*t**3\/3 + 15*t**2\/2 - 6*t + 417. Determine y(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2 + -2. Suppose -3*i - u + 33 = q, -3*i = -u - 43 + 10. Suppose 0 = -5*x - i + 26. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 68718 and 8359.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7 + -10. Put 0, 31, 2, a in descending order.\nAnswer: 31, 2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(-8))\/(11\/11)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l + 104 = 3*s - 2*l, 2*l + 74 = 3*s. Suppose -2*h + 32 = 5*o, -h - h + s = 3*o. Let z = 39 + h. What is the remainder when z is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1\/(4 + (-21)\/6). What is the third derivative of 0*v**2 + 11*v**n - v**3 - 4*v**3 wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*z**3\/2 + 1485*z**2 - 12000*z + 24080.\nAnswer: 5*(z - 4)**2*(z + 602)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -10.96 to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 41.1 and -35?\nAnswer: -1438.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6416262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence azd when three letters picked without replacement from {a: 1, w: 1, d: 1, z: 1, s: 2, u: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*f - 2*r + 109, -5*r - 131 = -4*f - 1. Is 13 a factor of 4\/5 + 2387\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -2*r, -4*g + 5*r - 6 = 9. Let m(v) = -2*v**2 + 5*v - 4*v + 4*v**2 - 3*v**2. Let b be m(1). Solve g = a + 5, b*l - 3*a = 2*l + 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -z**2 - 14*z + 21. Let x be o(-15). Suppose -l = -x*l. Solve 5*a - 3*w + 6 = 0, 2*w + l - 4 = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -66*i**4 - 8773*i**3 + 165649*i**2 + 1 wrt i.\nAnswer: -1584*i - 52638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (15\/(-4))\/5*-32. Let y(p) be the third derivative of -7*p**4\/24 - p**3\/3 - p**2. Let i be y(-2). What is the greatest common factor of n and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1*-5 + 1017\/226?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -150, -137, -126, -117, -110?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -1b7 (base 14) to base 5\nAnswer: -2412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 71 a factor of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the second derivative of x**5\/20 - x**4\/12 - x**3\/6 - 2*x**2 + 2*x - 6. Suppose 3 + 3 = p. Suppose p = 6*h - 4*h. Give q(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2125\/(-65))\/(-5) - 120\/(-260)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 2016, 2 in descending order.\nAnswer: 2016, 11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 3 - 6 + 5 - 3 - 3 + (4 - 2 + 0)*(2 - 7 + 3) + 4 + 1 - 3)*((2 - 1 - 3)*(-t - 2*t + t) + (t + t + 0*t)*(0 + 2 + 0)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 6*y**2 + 36. Let i(h) be the first derivative of -5 + 7*h + 1\/3*h**3 + 0*h**2. Let t(u) = 21*i(u) - 4*z(u). Differentiate t(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11.15*22.5387.\nAnswer: 251.306505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 3*o = -o - 308, 225 = 3*w + 3*o. List the prime factors of w.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -829, -827, -825, -823?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 20 + -23. What is the third smallest value in s, -1\/7, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 1, h: 3, f: 4, t: 1, j: 2}. Give prob of sequence bf.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q + 14. Let r(x) = 27*x**3 - 10*x**2 - x - 1. Let s be r(1). Give p(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**2 + 13*q + 10. Let c = -2042 + 2029. Calculate s(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2368\/(-444)*(-18)\/16\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n - 12. Let r be l(0). Let f be r\/18*(-3 + 0). Solve 0 = -0*q + f*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5479 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -2438 divided by 161\nAnswer: -106\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-6)\/(-4)*17\/(102\/28). Let y(u) = 4*u - 24. Let i be y(l). Solve i = -r + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 - 4 = -39*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -4, 0, 1.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 502 + -497. Let g = 17 - 11. Let j(x) = x**2 - 4*x - 5. What is the remainder when j(g) is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 + 1. Let d(q) = q. Let k be d(1). Let o = k + 0. Do o and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-39)\/(-26)*-8 - 9)*12\/(-14). Put -1, i, 21 in decreasing order.\nAnswer: 21, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 4*l - 149. Let k be m(36). What is the third biggest value in -7, -2\/9, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4.742 + 0.322. Let o = 0.58 - n. Let z = -9 + 4. Which is the second biggest value? (a) o (b) z (c) -0.7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f = 5*z - 10*z + 40, 5*z + 2*f = 49. Solve -z*b = -15*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1422)\/(-27) + (-2)\/(-6) + -41 + 34?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 33739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + w - 2)*(-1 + 2*w + 1) - 16*w + 16*w + 14*w**2 + 1 - 371*w + 20*w**2 + 371*w.\nAnswer: 36*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -2*v. Let o(a) be the second derivative of -a**3 + 12*a. Give o(x(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = -62.22 - -78.22. What is the nearest to i in -5\/3, 1\/7, 4.8?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {v: 6, j: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1257791 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 8\/29 <= 0.065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k be (59 - -1) + -10 + 7. Suppose 3*n - k = 39. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46837201633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 240 a factor of 5383680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2 + 20\/11 + -4. Suppose -12*g = -17*g + 2*t + 9, 6 = 4*g - t. Which is bigger: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -14*a**3\/5 + 2432*a**2\/5 - 21054*a - 30276\/5.\nAnswer: -2*(a - 87)**2*(7*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = 0, 0 = 4*x + 6*l - 3*l + 26700. Is (-2 - x\/12)*4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 841480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-1\/4)*b**(-2\/15)*(b*b*b**(-4)*b)\/b**(1\/4) assuming b is positive.\nAnswer: b**(-49\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - -5 - -1 - 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 39 + -22. Let p be (-9)\/((-36)\/(-8)) + a. Let o = 41 - p. Calculate the remainder when 77 is divided by o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 426935 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 385157 is divided by 385153.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 8 = -4*q - 28, -5*q + 29 = -3*y. Let g(h) = -44*h**3 - h**2 + h. Let s(u) = u**3 - u**2. What is q*s(b) - g(b)?\nAnswer: 45*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -35\/4 and 87\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 75\/5121772 and 145\/504.\nAnswer: 645343272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -61\/1287 and -79\/63.\nAnswer: 9009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 2641331 (base 7) to base 12.\nAnswer: 148468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -207 + 215. Is ((-460)\/(-8))\/(j\/16) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -70985411382 from -5.\nAnswer: 70985411377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n**2 + 6809*n - 736891. What is k(110)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6561254146.\nAnswer: 2, 3280627073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 19, -313 in descending order.\nAnswer: 19, -5, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 950 a factor of 29474159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 3589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 + -1)*19\/(-38).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-114 - -122) + -9 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -37848.2 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 324*b**4*w + 2*b**3*w**3 + 1526*b**3 - 8*b**2*w**3 - 29*b*w**3 - 388*w**3 wrt b.\nAnswer: 7776*b*w + 12*w**3 + 9156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1408)\/88 + 54 + 4. Calculate the greatest common divisor of q and 23793.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 117.8 (b) -1\/4 (c) -4 (d) -2\/13 (e) 0.2 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15\/12 - (36\/54)\/(8\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -10653 + 10656. What is the third smallest value in 8, -2, 16, l?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(112)\/((sqrt(800) - sqrt(2)) + sqrt(2))*-5)\/((sqrt(8) - 5*(sqrt(8) + sqrt(24)\/sqrt(3))) + (-2*sqrt(48)\/sqrt(6) + sqrt(8) - sqrt(8))).\nAnswer: sqrt(7)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 296*q - 297*q = -66. Let h be 4\/(-10) - (-208)\/(-5). Let i = q + h. What is the highest common factor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -891*i**3*w**2 + 72918*i**3*w - 80*i**2*w + 4385*w**4 wrt w.\nAnswer: -1782*i**3 + 52620*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j be 7\/21*3*1. Let o be (-350)\/20*8\/10. Let a be (6\/7)\/((-8)\/o). What is the second smallest value in 1\/2, j, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t + 1. Let s(o) = -17. Let b(i) = 24*m(i) + 3*s(i). What is the first derivative of b(d) wrt d?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00004048788 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 195 minutes after 11:14 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1 + -414244002?\nAnswer: -414244001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j**3 + 59*j**2 - 1407*j - 1642. Give r(-77).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1245366 and 17028?\nAnswer: 27398052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5985 is divided by 998.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -27*i + 24*i. Put -3, i, -2, 5 in decreasing order.\nAnswer: 5, i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-36))\/(4\/8*(-35)\/(-10))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 817015\/58 - 14085. Suppose 40*a = 31*a + 7731. Let g = a - 4317\/5. Find the common denominator of g and q.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*c - 449 = 4*c + a, -2*c + 5*a + 461 = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0222674344 to six decimal places.\nAnswer: -0.022267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4 + 291?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 7*n. Let o(u) be the first derivative of 0*u**2 + 0*u**4 - 10 + 0*u - 1\/60*u**5 - 19\/3*u**3. Let d(c) be the third derivative of o(c). Give d(w(f)).\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1121.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.018 + 2.018. Suppose -3*l + 40 = 2*f - 18, -20 = -4*f. Let p be (-12)\/l + 1\/2. Which is the smallest value? (a) 0.02 (b) p (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2b - 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (22 - 0) + (1066 - 1114) - (4 + -2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0038611562 to five dps.\nAnswer: 0.00386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - ((-7 - -6) + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -138 * -1.98.\nAnswer: 273.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5.3 + 0.7. Let j = m + -5.9. Which is the closest to j? (a) -0.4 (b) 0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k + k - k + (-3*k - 3*k + 4*k)*(-4 - 1 + 3) + 3*k + 1 - 1)*(0*k + k - 2*k) + 5*k**2 + 3*k - 3*k + 308*k - 146*k**2 - 308*k.\nAnswer: -150*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1 and 0.0791.\nAnswer: -0.0791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 23\/7247614 and -13\/558.\nAnswer: 65228526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Add together 12 and -0.0492.\nAnswer: 11.9508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 19*v - 5. Let t be s(2). Suppose -b = -6 - t. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6*b**4*v**2 - 70*b**3*v**3 + 2556*b**2*v**3 + b**2*v - v wrt b.\nAnswer: -144*b*v**2 - 420*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**4\/(v*v\/v**(-10)))\/((v**0\/v)\/(v*(v**(-14)\/v)\/v*v)))**35 assuming v is positive.\nAnswer: v**(-735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r**2 - 9*r + 10. Let p be l(-10). Suppose 5*s - 2*y = -0*y + 82, -s + 5*y + 21 = p. Let b = -4 + s. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 520250931 to the power of 1\/3, to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37791117 - 31222226 = -329*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -6*q + 119. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11747548600 rounded to the nearest 1000000?\nAnswer: -11748000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Let v = -138242747.00817 + 138243769. Let x = -1022 + v. Round x to 4 dps.\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -46*l**2 + 35638*l**3 + 100*l**2 - 54*l**2.\nAnswer: 35638*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d\/d**(17\/2)*d*d*d*d**(-9))\/(d**(-2\/3)\/d**(27\/4)) assuming d is positive.\nAnswer: d**(-61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 0*d + 3*d - 5*d + d. Let y(k) = -539*k. Let p(q) = -11*q. Let i(f) = -99*p(f) + 2*y(f). Determine i(x(a)).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ununnnnnnnnnnnnnnrun. Give prob of sequence nr.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 24 and 20720?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 6*t - 13 - t + t**3 + 10*t**2 + 2*t. Let j be f(-9). Suppose 2*a + j*g = -a + 162, a = -2*g + 53. What are the prime factors of a?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4 + 3*y**3 - 4 - 4*y**2 + 4*y**2 - 2*y**3 + (4*y + 3*y - 5*y)*(2*y**2 + y - y) + 3*y**3 - 3*y**3 + 2*y**3 + 5*y**3 - 3*y**3 + y**3.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -3*d**3 - 28*d**2 + 92*d + 119. Give p(4).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 3790544969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = -14\/33 - -12\/11. Which is the nearest to 0? (a) 2\/29 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1856 - -1859. Solve -3*d - y = -2*y - 16, -5*d + m*y + 32 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -330*o**3 - 10*o**2 + 4*o wrt o.\nAnswer: -1980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o be -3 + 0 - (-13)\/5. What is the nearest to o in 0, 1\/5, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 685 + 1010 = 0. Suppose 0*o + g = 4*o - 5*f, -2*o - 4*f + 150 = 0. Let a = o + -56. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1418.8 less than -41271?\nAnswer: -42689.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 131 + 17*n - 6*n + 16*n + 3*n. What are the prime factors of m(6)?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1883950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 2*n**2 - 4*n. Let d(x) = -3*x**2 - 9*x - 8. Let r(o) = -8*o**2 - 26*o - 22. Let l(k) = -11*d(k) + 4*r(k). Calculate -4*l(h) + 5*w(h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -61, -96, -159, -262, -417, -636, -931?\n\"Answer: -2*i**3 - 2*i**2 - 15*i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 690788834?\nAnswer: 2, 541, 638437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.057 + 57.943. Which is the fourth biggest value? (a) 1\/6 (b) v (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -450871010.5 to the nearest 10000.\nAnswer: -450870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8.1699865 - 8.17. Round i to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4 + b**2 + 4 + (-b + b - 2*b)*(-2 + 2 + b) + 2*b**2 - 2 + 2 + b + b**2 - b + 66*b**2 + 1347 - 1347 + 4*b**2 - 5*b**2 + 9*b**2.\nAnswer: 76*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -23*a**3 + 2*a**2 - 1. Let h be c(-1). Suppose t + 5*j = -22, 0 = 2*t + 5*j - 0*j + h. Suppose 3*x - 5*v + 23 = 0, -16 = -2*v - 2*v. Sort 3, x, t.\nAnswer: t, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -10 (base 6) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4765472 and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*u + 356 + 499. Let g = -90 + u. Is g bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z + 349*u - 2755 = -23 + 1456, z - 12 = -u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.053729 plus -4?\nAnswer: -3.946271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = 17 + 5. Suppose 0 = 2*z - 0*z. Suppose z = 3*d + 9, d = 2*f - 4*d - 39. What is the remainder when r is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:54 PM and 9:33 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 3*o**2 + 43*o - 1. Calculate p(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10183 + -10182.972. Which is the nearest to 1? (a) 2\/13 (b) 1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 3 - 1 + (-2 + 0 + 3)*(3 - 3 - 3))*((0 + 3 - 2)*(3 - 1 - 3) + 9 + 3 + 1)*(3*g - g - g) as j*g + w and give j.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 74*s**2 + s + 1. Calculate the remainder when o(-1) is divided by (-24 - -25)\/((-3)\/(-9)) - -16.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 29*f. Let s(l) = -7*l**2 + 0*l**2 - l**2 + 7*l**2. Give m(s(j)).\nAnswer: -29*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 83 - 166 + 4*h**2 + 83.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 43641 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 10 = -0*y, 0 = 2*a + y + 23. Let u be (a\/49)\/((-2)\/98). Calculate the highest common factor of 154 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -3345, -6703, -10061?\n\"Answer: -3358*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(567) - sqrt(63))**2 + 6*(-4 + sqrt(7)) + 3.\nAnswer: 6*sqrt(7) + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) 32 (b) -0.1 (c) -178 (d) -5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2650\/847 + 140\/121. Let q = 2 - -1. Let 2*w**2 + 18\/7 + 2\/7*w**q + x*w = 0. Calculate w.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -232 (base 4) in base 2?\nAnswer: -101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(2 + sqrt(75)) + 3 + 4 + (sqrt(75) + 0)**2 + (sqrt(75) + 2 + sqrt(75) - sqrt(75))*3.\nAnswer: 20*sqrt(3) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -2*u**2 + 4*u + 27. Let p(s) = 2*s**2 - 4*s - 28. Let q(z) = -3*p(z) - 4*t(z). Is q(-12) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + (-3 - (7 - 21)) + 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 2*g**3 - 123*g**2 - 578*g - 1052. What is i(66)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(612) + 5 + 2 + sqrt(612) + sqrt(612) + sqrt(612))**2.\nAnswer: 336*sqrt(17) + 9841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -39*y**3 + 52*y**2. Let i(v) = v**2. Let h be (-56)\/(-70) - (-1)\/5. Calculate h*b(a) - 52*i(a).\nAnswer: -39*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply 112.66255 and -2.\nAnswer: -225.3251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.05 (b) -1.7 (c) -0.3 (d) 58\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 1, -7, -2 in descending order.\nAnswer: 1, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 397396*d**2 + 809181 wrt d?\nAnswer: 794792*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-2))**(-29)\/((i\/(i\/(i*i**(-3\/4))))\/((i**10\/i*i)\/i)) assuming i is positive.\nAnswer: i**(267\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6 + (-5 - -2) - 1) + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 6163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 2*w. Let z(m) be the second derivative of m**4\/24 - m**2 + 6*m. Let x(q) be the first derivative of z(q). What is x(f(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.1 - 1.1. Let f = -40 - -43. Suppose 0*m = -m + 2*u - 12, f*u - 13 = -m. Which is the nearest to m? (a) 0.3 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4860 divided by 6.\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = 2*i - 9. Let q be (-354)\/472 + 182\/8. What is the highest common factor of q and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 82 and 19073516?\nAnswer: 782014156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -5*j + 21. Let k(r) = -2*r - 5. Let o(u) = -u - 5. Let h(b) = -2*k(b) + 3*o(b). Let c be 13\/5 - (-3)\/(-20)*4. Give c*i(v) + 9*h(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -140 (b) 2 (c) -9 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 713388 and 155482.\nAnswer: 12127596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -0.02, -4, -1\/6, 5\/6 in ascending order.\nAnswer: -4, -1\/6, -0.02, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2 - -12. Suppose j*f - 25 = 5*f. Let d(p) = p**3 - 2 + f*p**2 + 5 - 2*p**2. What is d(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -1953*j**2. Let c(t) = 62*t**2. Determine d(c(f)).\nAnswer: -7507332*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2\/3)\/(1\/15). Suppose r + 80 = 3*v. Suppose -5*k = -b - 15, -3*b - 4*k - v = -8*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the first derivative of 19*w**4\/4 - 4*w**3\/3 - 13. Find the third derivative of d(r) wrt r.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -21*w**2 - 1867*w + 116. Determine v(-89).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1 - 3. Suppose 4*l - 4 = 4*x, 3*l = 17 - 2. Which is the third smallest value? (a) 4\/5 (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d**2 - d + 322. What is the tens digit of j(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -399 - 7.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 1\/4 (c) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -13*p**2 - 18*p + 6. Let f(i) = -24*i**2 - 34*i + 14. Let t(m) = -3*m**2 - 67*m + 40. Let g be t(-23). Let j(n) = g*f(n) + 11*y(n). Determine j(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1396, 42, 6, -2, 8.\nAnswer: -1396, -2, 6, 8, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0, -25, 1082, -3 in decreasing order.\nAnswer: 1082, 2, 0, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 16092 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 847 + -845. Solve 0 = -i*w - 3*w - 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 263711550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + -4*(sqrt(6292) - (sqrt(6292) + 0))*-1*-6)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 12493\/7749 - -5\/287. What is the common denominator of f and 0?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.93 times 0.2?\nAnswer: -0.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1203222 - -100123110?\nAnswer: 32313222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 5*g**2 - 2*g + 3. Let u(i) = -i**2 + 5*i - 7 - 2*i**2 - 8*i**2 + 0*i**2. Calculate -2*u(a) - 5*v(a).\nAnswer: -3*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -60 times 0.3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 7}. What is prob of picking 2 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3613668 is divided by 1260?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be (8\/6)\/((-6)\/(-27)). Let k(s) = s**3 - 7*s**2 + 6*s + 4. Let p be k(n). Is (22\/p)\/((-10)\/(-80)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -159 + 397. Let l = j - 159. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 149 - 1339\/9. Let b = 4.8053 - 5.1053. Suppose 5 = -p + 1. Sort b, p, c, -1\/3.\nAnswer: p, -1\/3, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, s: 1, q: 2}. What is prob of sequence sq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0109118067 to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 15623*h**2 - 34 - 53 + 87 + (-4 + 4 - 2*h)*(-h + h - 2*h) as d*h**2 + y*h + u and give d.\nAnswer: 15627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 566\/9, 0.1, 26, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 38\/265 - -3\/53. Let i = 6.5 + -6.39. Put -0.4, i, k in increasing order.\nAnswer: -0.4, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*a**2 - 1 + 74*a + 1 + 15*a.\nAnswer: -4*a**2 + 89*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 958403 divided by 2\nAnswer: 958403\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 9, 49\/2, -3 in descending order.\nAnswer: 49\/2, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -6217.6 to the nearest ten.\nAnswer: -6220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1095*c**3 + 175*c**2 - 3285*c**2 - 1060*c**2 - 192*c**2 wrt c.\nAnswer: -6570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 275 minutes before 5:09 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Let t = 386 + -348. Suppose 0 = -6*k + t - 26. Factor 0 + 0*u**k + 3\/5*u - 3\/5*u**3.\nAnswer: -3*u*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the third derivative of 0 - 4*v**2 + 1\/2*v**3 + 1\/8*v**4 + 2\/5*v**5 + 0*v. Is r(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -44.5 times -8687\nAnswer: 386571.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find k such that -292\/5*k**3 + 148\/5*k**4 - 112\/5*k + 268\/5*k**2 - 28\/5*k**5 + 16\/5 = 0.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-140)\/588)\/((-10)\/36)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzzkrzzkrrr. Give prob of sequence rzrk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 11368 and 114376.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 1 * -1.42\nAnswer: -1.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -v - 3. Let i(m) = 4*m + 10. Suppose -p = -0 - 3. Suppose 2*w = -0*c - p*c + 17, -2*c + 3*w = -20. Give c*x(q) + 2*i(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -89\/57187920 and -119\/47856.\nAnswer: 57187920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = -262\/5 - -52. Let h = -1 + 1. Are b and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-5926)\/18 - -3*6\/81. Let n = -178 - x. What are the prime factors of n?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 38\/9 + (-4)\/18. Suppose -x - i*x = -15. Determine f so that -1 - 2*f**2 - 2*f**2 - 8*f**2 - 5 + 3*f**x + 15*f = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(204))\/sqrt(12)*2*3 + -3 + -3)**2.\nAnswer: 216*sqrt(17) + 5544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2231 - 557 = -2*g - 4*h, -10 = -5*h. Let s = -117739\/140 - g. Is 1 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 296 and 2257.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -10120003132 (base 4) to base 8.\nAnswer: -4300336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by 404127.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -2019, -15831, -53071, -125373, -244371?\n\"Answer: -1939*q**3 - 80*q**2 + q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 93404330.\nAnswer: 2, 5, 9340433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 10366 and 1136.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen quarters of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 61*y**2 - 44*y - 7. Does 21 divide f(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 4. Let a(t) = -1. Let s(d) = 7*a(d) + 2*f(d). Let n(i) = -2*i**3 - 4. Suppose 0 = r + x - 1, 3*r - x + 22 = 5. What is r*s(h) - n(h)?\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2 - 3)*(-4 + 3 + 0)*(0*x - 3*x + 5*x)*(-79 - 60 - 14).\nAnswer: -306*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8374.64 - -8375. What is the biggest value in 4, w, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 302748997?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 1, 5, -26, -6 in ascending order.\nAnswer: -26, -6, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from shdividhvehedid.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 4*h = -10, -19*h + 14*h = 4*r + 40. Let o be (r\/8)\/((50\/1232)\/(-25)). Round o to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 + 3. Suppose 3*l + h*l - 9 = 0. Factor -t + 4*t**3 + 0 - l*t + 0 + 2*t**4 - 2.\nAnswer: 2*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -6\/7, 0.2, 19, 0.4, -7\/2, 2\/213?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -79\/658 and -119\/24.\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n - 3 + 14 + 2 - 6. What is g(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n**3 + n**2 + n. Let r be q(-1). Suppose i + 5*a + 4 = -2*i, -2*i - 4*a = 4. Suppose -b + 5*z = 4, 2*b - z = i - 1. Put r, b, 0 in decreasing order.\nAnswer: b, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 552 minutes before 8:18 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(704) + 3 - sqrt(704) - sqrt(704))*5 + 1)**2.\nAnswer: -1280*sqrt(11) + 17856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes before 5:10 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 2 l when three letters picked without replacement from {i: 3, l: 2, o: 3, r: 8}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i**5\/5 + 47122*i**4\/5 - 141358*i**3\/5 + 47116*i**2\/5 + 141359*i\/5 - 94238\/5 = 0. What is i?\nAnswer: -1, 1, 2, 47119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:04 AM and 2:50 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 776\/9 - 86. Let q = 215 + -202. Suppose 5*s = -18 + q. Is s bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -165*s + 36529393 = 64*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y**(-1\/4)\/y)\/y**(3\/5))**31)**(-2\/9) assuming y is positive.\nAnswer: y**(1147\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 7434200 to the nearest ten thousand.\nAnswer: 7430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -3.9*-53.783\nAnswer: 209.7537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 28 = -4*g, -6*g + 29 = -3*g + 5*h. Let t be -1 + 100\/(-6) - 1\/g. Let v be (5\/15)\/((-2)\/t). Solve y - 2 = -v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange d - 2*d + 3*d + 3*d + d - 2*d + (0*d + 0*d - 2*d)*(0 + 5 - 27) to the form v + t*d and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 16517*a**4 - 2*a**3 - 2*a**2 + 8*a - 5050967 wrt a?\nAnswer: 66068*a**3 - 6*a**2 - 4*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 + -8. Let p = r + 12. Put -3, -5, p in decreasing order.\nAnswer: p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 62\/33 and -76\/611565.\nAnswer: 6727215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 160175 and 1935.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 9797725883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12522 is divided by 6219.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, y: 7, t: 2, s: 1, v: 3}. What is prob of sequence sv?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -5, -2, 3, 2, 4, -4622 in descending order.\nAnswer: 6, 4, 3, 2, -2, -5, -4622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1 - 390?\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1008 and 1296.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20 + 203*a - 433*a - 9 + 228*a + 1.\nAnswer: -2*a - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 9622560 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -10 (b) 4 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -42*h**3 + 54690*h**2 + 30*h + 90487 wrt h.\nAnswer: -252*h + 109380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -558.9 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = -4*t + 16, -4*t + 2*u = -4 - 0. Let k be (4\/(-3) + t)*6\/2. Suppose n = 33 + k. What is the remainder when n is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -18 - -21. Suppose 0 = -h + k, -3*w - h = 2*w - 4048. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -281.9 - 694.48701977.\nAnswer: -976.38701977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2\/(-4))\/(9\/108). Is (3 - 0)*(-32)\/w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1022578 is divided by 92958?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.0999995 - -1.1. What is u rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 1188455 and 1188387 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -31\/4 and 41\/58.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 903 - -c39?\nAnswer: 163c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = 154 - 151. What is the remainder when 3 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 80 = -24*m + 22*m. Let p be (-9)\/((-18)\/8) + 41. Let g = m + p. Solve 3*f + g*t + 17 = 5*f, 5*t = -3*f - 37 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (7*q**2 - 2228*q + 1215*q + 1095*q)*(0 + 1 + 3) in the form h*q**2 + m*q + l and give m.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = -2*n + 42, 1 + 9 = 2*u. Suppose 3*m + 3*o = 2*m + 60, 5*o = -25. Calculate the remainder when m is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -18000*-0.5\nAnswer: 9000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 22 - 20. Suppose -4*b - 5 = -5*b. Let t = -0.89 + 0.59. What is the closest to -9 in w, t, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 12 - 10. Suppose 0 = 5*p - t - 138. Solve 0*s + p = 5*s + 3*v, 0 = -s - 4*v + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 97818.3l in millilitres?\nAnswer: 97818300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37*q - 3*q**3 + 28*q - 4*q**3 + q**3.\nAnswer: -6*q**3 - 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*m**4 - 5*m**4 + 3*m**4 + (-1 - 5 + 5)*(m**4 - 2*m + 2*m) - 2*m**2 - 2*m**4 + 2*m**2 + 4*m**4 + m**4 - 25*m**4)*(-11*m + 7*m - 11*m).\nAnswer: 375*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.09? (a) 40 (b) 0.4 (c) 12 (d) -5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -5050512 * 0.3.\nAnswer: -1515153.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -61*a - 183. Let s be m(-3). Suppose 0 = 2*h + 2 - 6. Suppose s = -z - h*z + 2*z. Solve -6 = 2*f - z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**2 - g + 2. Let i(m) = -4*m + 20. Let f be i(6). Let d be v(f). Calculate the highest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1399548 (base 12) in base 8?\nAnswer: -17006310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 10*z + 7. Let t be (-380)\/(-140) - (-2)\/7. Give m(t).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1909.2 + 1714. Let l = -195 - p. Let k = 0.12 + -0.42. Which is the nearest to 3\/11? (a) k (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 130 minutes before 2:15 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 18 - 10. Let r(q) = 3*q**2 - 5*q**2 + 1 + 9*q + q**2. What is the units digit of r(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*u - 5*u + 432. Suppose -z - u = -4*t, -3*t + 123 = 5*z - 178. List the prime factors of t.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -12, -4, -2, 189, 30 in ascending order.\nAnswer: -12, -4, -2, 0, 30, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3240?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 40 - 34. Let x be s + -5 - (13 - 1 - 1). Let c be x\/4 + 2 + (-41)\/(-2). What is the greatest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*j - 5*f = 205 - 56, -5 = 3*j + f + 22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 9*a**2 + 107*a + 114. Let v(f) = -7*f**2 - 106*f - 111. Let m(d) = -3*n(d) - 4*v(d). Suppose m(s) = 0. Calculate s.\nAnswer: -102, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -29 (b) -7 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*u**4 + 905*u**3 - 41390*u**2 + 38700*u + 81000.\nAnswer: -5*(u - 90)**2*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 189*x**2 - 230*x**2 - 449*x**2 + (-3*x + x + 4*x)*(4 - 4 - 3*x).\nAnswer: -496*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*a + 5758 - 5774 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 49\/21 + 109\/(-48)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 20 and 10\/(-2)*(-44)\/11?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.6 + -0.6. Let n = 6.7 - 7.44. Let z = g + n. What is z rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2226 is divided by 718?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r + 3 + 3. Suppose -4*v + r + 6 = 0. What is the third derivative of -4*b**3 + 5*b**v + b**3 - b**2 wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s + 49 = -4*b, 190 = s - 4*b + 93 + 68 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-88)\/6 + -5)\/(2\/(-66)). Let y = 1244 - a. Find the third derivative of 9*z**2 + 14*z**2 + 48*z**3 + 595 - y wrt z.\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(20) + sqrt(320)*-3 - sqrt(20)*-2*-5)\/(sqrt(24)\/(4*sqrt(6)) + 6*3*sqrt(4)).\nAnswer: -252*sqrt(5)\/73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -39 - -55. Let j(v) = -v**3 + 8*v**2 - 5*v + 4. Calculate the remainder when j(6) is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1791*t**2 + 2029?\nAnswer: 3582*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.03 (c) 4 (d) -0.4 (e) -191387 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*r + 5952 = 65*r. Calculate the highest common divisor of r and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -3.21 and -297907.\nAnswer: 956281.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 924*j + 32926 = -23674 + 16868 for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.22089 + -31986.77911. Let r = 31989.0993 + d. Let h = r - 2.1. What is h rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34*g + 2*g + 29*g + 45*g + 19*g.\nAnswer: 61*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1876*g - 5629*g + 1878*g - 164*g**3 - 2779*g**3 + 1877*g - 823*g**3.\nAnswer: -3766*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -z - 3. Let w(r) = -1. Determine -p(x) + 6*w(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -35\/7976016 and 35\/98802.\nAnswer: 87736176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2573235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2128\/(-114)*(-6)\/7. Suppose -2*p = 2*l - 2, 3*l - 2*p = -l + s. Solve 4*d = -l*g + 3, -2*d + 7*d = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p*p\/(p\/(p*p\/(p**(4\/13)\/p*p)*p))))\/p**(2\/23))\/(p**(2\/9)\/p)**(-15) assuming p is positive.\nAnswer: p**(-12958\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = 15 - 14.99088. What is h rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eleleeeeeekgg. Give prob of picking 1 l, 1 g, and 1 k.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1100011 - -11?\nAnswer: 1100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -12113108 minus 0.1?\nAnswer: -12113108.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (6 - 2 - 2)*(4*a - 12*a + a) + 126*a + 114*a - 73*a in the form d*a + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 9\/15*-9 + (-5408)\/3380\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) be the third derivative of v**5\/180 + 29*v**4\/18 - 13*v**3\/2 - 17*v**2. Factor d(b).\nAnswer: (b - 1)*(b + 117)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:11 AM and 1:31 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(32) + sqrt(288) + 5.\nAnswer: 10 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 204\/663*24817\/(-166).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 245 and 165?\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 3604 divided by 212\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(12)*5*-4)**2.\nAnswer: 76800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = v**2 - 24*v - 6. Give g(24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 21*f**4 - 4*f**3 - 31. Let z(h) = -61*h**4 + 13*h**3 + 92. Let j(t) = 13*r(t) + 4*z(t). What is the first derivative of j(c) wrt c?\nAnswer: 116*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 8, 3\/5, -21, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (36*f**2 - 33*f**2 - 79*f**2)*(-f + 2*f**2 - 6*f + 0*f).\nAnswer: -152*f**4 + 532*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Subtract 5 from -156112475994.\nAnswer: -156112475999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 511846 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence djwd when four letters picked without replacement from {d: 5, j: 4, w: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -0.5 - -0.0004\nAnswer: -0.4996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 307115230 to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -8 + 17 + -2 + 5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 71256.925 rounded to the nearest 1000?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 757121\/134 + -5650. What is the common denominator of i and (-207)\/21*(-1)\/(-6)?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 - -17?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3665*z - 5719*z - 4493*z to g*z + p and give g.\nAnswer: -6547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 1)*(-11*z + 13*z + 12*z)*(0*z + 3*z - z + (3 + 0 - 1)*(-z + 6*z - 3*z) + 0*z + z - 2*z + 2*z - 3 + 3 - 2*z - 2 + 2).\nAnswer: 70*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 9 + 84 = 0. Let f be 36\/198 - t\/(-11)*1. Let d(v) = -v**3 - 3*v**2 - 3*v - 3. Let i be d(-3). Solve -4*x - 18 = -f*j, 0*x - 3*j - i = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 9\/54*-3*(-15 + -1). Find t, given that -106\/5*t**3 - 96\/5*t**2 - s*t**4 - 4\/5 - 34\/5*t = 0.\nAnswer: -1, -2\/5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:53 PM and 7:36 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w*w\/(w**(-11)*w)*w)\/w*w*w)\/w**(1\/4))\/(w*w*w**4*w)**(-41) assuming w is positive.\nAnswer: w**(1203\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1 + 5 - 2349\/(-3). Suppose -2218 = -5*x + 4*v, -2*v = 2*x - m - 91. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 2*m - 1. Suppose 6 = 5*w + p, 3*w - 4*w + 2*p = 1. Suppose 0 = 81*z + 149812 + 30656. Let k = z - -2230. Let i(o) = o + 1. What is k*i(g) + w*u(g)?\nAnswer: 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 730000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + sqrt(4032) + 0 + -1 + -2 + sqrt(4032) - (sqrt(4032) + (sqrt(4032) - -5*(sqrt(4032) - (sqrt(4032) + 0) - sqrt(4032))) - sqrt(4032))*3) + 2)**2.\nAnswer: -1344*sqrt(7) + 790276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4333677\/356 - (2 - 14\/8)?\nAnswer: 7, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -13322333 (base 5) to base 9\nAnswer: -226455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 1186*o - 26085. What is r(22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:26 PM and 1:42 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 301 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 276129941 to the nearest integer?\nAnswer: 16617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-112)\/(-24)*6*3\/21. Which is greater: -0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*a - 5991 = 1293. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20443247 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-7)\/3)\/(5\/(-15)). Suppose r*j = 4*j + 4*m + 14, -5*j + 3*m + 38 = 0. Let h(d) = -d**3 + 10*d**2 + 9*d - 18. List the prime factors of h(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Let v be -3*(8\/(-4))\/((-48)\/(-32)). Which is the closest to -3? (a) -0.4 (b) v (c) -13 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.855733 litres to millilitres.\nAnswer: 3855.733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = h**2 - 10*h - 61. Let g be r(14). Let f(q) = q**3 + 4*q**2 + 17. Let z be f(g). Which is the second smallest value? (a) z (b) 1\/2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2546 + -740. What are the prime factors of i?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 29 - -215. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2 - 12*y - 25*y + 69*y as o + w*y and give w.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6 + -2. Suppose -h = 2*p - 3*r, p + 0*r - 2*r + 4 = 0. Solve -w + 3*b - 8 = -0*w, -14 = -2*w - p*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -85173, -170334, -255497, -340662, -425829, -510998?\n\"Answer: -k**2 - 85158*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -54452 - 111221?\nAnswer: -210113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u = -103 + 113 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 52*f - 2 + 4.\nAnswer: -52*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1461 - 321. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 3*s**2 - 4*s + 4. Let n(r) = 3*r**2 - 5*r + 5. Let f(q) = -q + 8. Let u be f(4). Let a(y) = u*n(y) - 5*p(y). Let i(t) = 8*t**2. Calculate i(a(g)).\nAnswer: 72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j**2 + 1 - 1)*(7*j**3 + 16*j**3 - 5*j**3).\nAnswer: -18*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 less than 98.194886512?\nAnswer: 98.294886512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 109080 by 18.\nAnswer: 6060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -28 (b) 0.5 (c) -959412 (d) 0 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s be 112\/(-18) - (-22)\/99. Let y = s + 8. Differentiate -3 + y + 16*n - 10*n + 2 with respect to n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -358071*k + 13*k**2 + 358071*k + 6*k**2 + 4 in the form r + l*k**2 + j*k and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -45 + 5309?\nAnswer: 5264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-30)\/(-12))\/((-3)\/6)*1. Let j be 43\/8 + c - (-538)\/16. Calculate the greatest common divisor of j and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-52 - 25 + 6)*(-8*u**2 - 7*u**2 + u**2 + (-2*u**2 - 5 + 5)*(-2 + 3 + 0)).\nAnswer: 1136*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 151\/42 and 73\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(x\/(x*x\/(x\/x**(2\/19)))))**5*(x\/x**(-4\/15))**(-3))**(-43) assuming x is positive.\nAnswer: x**(-7052\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -203453\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the first derivative of x**4\/2 + x**2 - x - 1. Let i(f) be the second derivative of -3*f**5\/10 - f**3 + 2*f**2 - 56*f. Determine 2*i(c) + 7*j(c).\nAnswer: 2*c**3 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*o + 114*o**2 - 5*o - 44*o**2.\nAnswer: 70*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/(-8))\/(84\/280)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1 * -6.6885141\nAnswer: 6.6885141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -20144 - 0?\nAnswer: -20144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find r such that -11\/4*r + 3\/4 - r**2 = 0.\nAnswer: -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3469, 3474, 3483, 3496, 3513, 3534?\nAnswer: 3559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -462*m**4*r - 376*m**3*r**2 - 7*m**2*r**2 + 5*m**2*r - m - 229*r**2 + 3 wrt m.\nAnswer: -11088*m*r - 2256*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g = -45*m + 385, 5*g - 107 = -4*m - 51 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -3*w**3 - 147*w**2 - 1218*w + 1368 = 0.\nAnswer: -38, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 7*o**2 + 6*o - 16. Give t(4).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 2659 + 4*x - 24*x - 2471. Calculate the remainder when 2\/1*46\/4 is divided by f(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f = 3*t + 156, -3*t - 2*t - 150 = -5*f. Let d = -31 + f. Suppose d = 2*l - 24. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 986.5106 seconds?\nAnswer: 986510600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 112 + -97. Suppose -7*v - g = -2*v. Suppose 2*p = -q - 5, -3 = 2*p + 4*q + 5. Sort p, 1, v in increasing order.\nAnswer: v, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17 - (-23 + 33) - 24.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be 369\/9 + (1 - -1). Suppose 5*n - 5*b - 20 = 0, -8*b = n - 3*b + 8. Suppose -10 + z = 4*c - 3*w, 26 = 3*c - n*w. Solve 3*m + 3 = c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b**2 - 6*b - 1. Let k be d(6). Let w(i) = -i**2 - i - 1. Let o be w(k). Is o >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -18a34 (base 11) to base 7.\nAnswer: -140236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the second derivative of -43\/3*t**4 - 147*t - 151\/20*t**5 - 1 + 0*t**3 + 0*t**2. What is the third derivative of h(n) wrt n?\nAnswer: -906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 297\/(-360)*(-210)\/63 + 211\/68*-1.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 6944246113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor n**3 + 18105*n**2 + 343542*n - 1663912.\nAnswer: (n - 4)*(n + 23)*(n + 18086)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 63 in -32\/5, -3, 25, -2\/3, -1?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) be the first derivative of -3*z**7\/7 + 4*z**6\/3 - 2*z**3\/3 + 3*z - 9. Find the third derivative of f(x) wrt x.\nAnswer: -360*x**3 + 480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p and 2 a when four letters picked without replacement from aapgpg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*h**2 + 888*h - 43200.\nAnswer: -4*(h - 150)*(h - 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (-4*(sqrt(252) + -1*sqrt(252) + -5 + sqrt(252) + 4)*4 + -2)**2.\nAnswer: -2688*sqrt(7) + 64704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3248178 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that -96100*x**3 - 205840*x**2 - 27764*x - 968 = 0.\nAnswer: -2, -11\/155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-13 - 2) + (-11 - (-29 - -24))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -850833, -1701668, -2552505, -3403344, -4254185?\nAnswer: -5105028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from uwmqquuuuwuu?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 - 84575210763.319?\nAnswer: -84575210763.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 286548372 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.37596219487 minus -0.1?\nAnswer: 0.47596219487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g be (6 - 6) + (5 - 11)\/(-6). Let p be 8\/10 + 17\/(-15). Which is the nearest to g? (a) p (b) 0.12 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 348*y = 350*y - 16 - 14 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 300973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 41 - 38. Suppose a*n - 42 = -3*p, -n + p + 4 + 0 = 0. What is the remainder when 24 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-9)\/(-6) - (-31083)\/(-19764). Let a = 1\/732 - l. Is 1 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 4386, 4211, 3920, 3513, 2990, 2351?\n\"Answer: -58*n**2 - n + 4445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-2713215)\/(-10))\/(3*82104). Let i = -9\/3421 - g. Find the common denominator of 47\/32 and i.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.703 + 3.673. Let u = -0.06 + 3.06. Let y = u - x. What is the smallest value in -0.5, y, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 526408 is divided by 171765?\nAnswer: 11113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(3 + (sqrt(13) - sqrt(52)\/sqrt(4))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2351681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-n + 5*n + 5*n - 1)*(2 - 2 - 1)*(2 - 1 + 2) to the form v*n + f and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 21394686791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 309, -2, 3, -4, -10, 5 in ascending order.\nAnswer: -10, -4, -2, 3, 5, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 4722294 a multiple of 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 28\/15 or 7.3?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -10010111000 (base 2) to base 4.\nAnswer: -102320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 16 + 7 + 6 + 4 + 665*f**2.\nAnswer: 665*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -70080 >= -1752026\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 8859291 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8106717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 76.18 - 71.18. What is the smallest value in 1\/6, -2\/5, 25\/2, 1\/2, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (14*g**2 + 5*g**2 - g**2 + (0 - 3*g + 0)*(4*g - 4*g + 3*g + (2*g + 5 - 5)*(-4 - 3 + 5) + 0*g - g + 3*g + 0 + g + 0))*(17*g**3 - 4*g**3 + 12*g**3).\nAnswer: 300*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3367, -3371, -3379, -3391, -3407?\nAnswer: -3427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 255 minutes before 11:16 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that 2*d**3\/3 - 2*d**2\/3 - 28960*d - 2313600 = 0.\nAnswer: -120, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.35 + -4.65. Let i = -4\/9 - -19\/63. Let t = -2.446 - 1.554. What is the second biggest value in i, 0.1, t, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3704, -3701, -3702, -3707, -3716, -3729, -3746?\nAnswer: -3767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -142977*r + 285959. What is d(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 10061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 11*x - 240. Let g be a(22). Solve -g*d - 25 = 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -263*k + 248*k = 420 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-1*(-3)\/(-6)*0)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in -1, -3, 5, 0.74?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-225)\/10)\/(-9)*(-4628)\/(-445)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x and 2 i when four letters picked without replacement from {i: 14, x: 4}.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 13 (base 4) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -7*h - 8*h - 19 + 24*h - 5*h - 10*h. Let l(f) = -3*f - 9. Give 7*l(a) - 3*x(a).\nAnswer: -3*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*b + 4*c = 12*b - 1475008, 5*b - 2*c = 1475004. What is b rounded to the nearest ten thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the second derivative of -4*k**3\/3 - k**2\/2 - 2*k. Let g be ((-342)\/5)\/(3\/10). Let b be (-17)\/11 - g\/418. What is r(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4898?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) be the first derivative of -5*z**3\/3 + 9*z**2\/2 + 15*z - 19. Let y(o) = -18 + o - 6*o + 3*o**2 + 10. Determine -6*w(f) - 11*y(f).\nAnswer: -3*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 47069 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 25409383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-165)\/(-198)*(-4)\/5*(-9)\/(-6). Which is the closest to 0.2? (a) -4.1 (b) -4 (c) g (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*y - 6*y + 60. Suppose -v - v + y = 0. Suppose 2*x + 4*q + 79 = 3*x, 5*q = -v. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -132 + 43*x - 139 + 396 - 135 - 2*x**3 + x**4 in the form q*x**3 + c + l*x**4 + h*x**2 + r*x and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = 2*y - 9. Let n = 4 - y. What is the first derivative of n + 0*s**2 - 3 - 2*s**2 wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the second derivative of 17*j**4\/4 + j**3 - 7*j**2\/2 - 7*j. Is 25 a factor of g(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1111 - -23?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 977.7359 weeks to microseconds.\nAnswer: 591334672320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 49.6 + -56. Let d = 0.6 - g. Let u = -6.5 + d. Which is the nearest to -1? (a) u (b) -1\/8 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -5*o**2 - o + 12. Let l(u) = 4*u**2 + u - 11. Give 4*l(k) + 3*n(k).\nAnswer: k**2 + k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(7))*-4 - (3 + sqrt(112))**2.\nAnswer: -121 - 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -8705, -4, -5, 3039 in descending order.\nAnswer: 3039, -4, -5, -8705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -85, -1\/5, 7, 2, -4\/5 in increasing order.\nAnswer: -85, -4\/5, -1\/5, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 4*u = 0. Let c = 177 - 2299\/13. Which is bigger: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 23*f = 108. Let u be -7 + 743\/f + (-1)\/(-6). What is the greatest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -75692.615 rounded to the nearest one hundred?\nAnswer: -75700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 10770 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (70 + 45872\/(-658))\/((-18)\/(-28)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the third derivative of 7*j**4\/3 + 32*j**3 - 136*j**2. Let x be v(6). What is the highest common factor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m**3 - 3*m**2 - 3*m + 1. Let p be a(-2). Let j = 3 - p. Let u be j - (4 + 210\/(-55)). What is the second smallest value in -2\/7, 0.5, u, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find p such that -4*p**3\/5 - 23892*p**2\/5 - 760028*p\/5 + 499044 = 0.\nAnswer: -5941, -35, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -4*l**3 - 807*l**2 + 186112*l + 336. Give o(-339).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 99*y + 115372 = -94*y, 5*y + 5 = 0. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -40 + 50. Sort 3, s, 5, 2 in decreasing order.\nAnswer: s, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 2 + 1)*(-4*t - 2*t - t)*(7 + 1 - 1) + (-2*t + 2*t + t)*(-3 + 1 + 4).\nAnswer: 51*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*f*q**4 - 180*f*q**3 - 3*f*q**2 + q**2 + 33 wrt q?\nAnswer: -72*f*q - 1080*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 55091503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 172*b - 4651. Give n(27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrryyyrrrrryryryrr?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -141 + 171. Calculate the remainder when (w\/(-20))\/(0 + (-3)\/102) is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1603*i**2 - 2*i*t + 36148*i - 1153001*t - 160 wrt i?\nAnswer: -3206*i - 2*t + 36148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1531 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*h - 26 - 10. Let c(v) = v**3 + 5*v**2 - 8*v - 9. Determine c(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**16\/(f**(1\/9)\/f) assuming f is positive.\nAnswer: f**(152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3 + 22. What is the remainder when (66\/(-4))\/((-8)\/48) is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3\/10*-2 + 72\/20. Let n(d) = -6*d + 8. Let z be n(1). Solve 7*s - 2*s = -z*r + 35, 0 = i*r - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/(-10)*2\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 98483 = 14*s - 30597. Is s + (-2 - -3 - 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v = 5*w - 13*v + 210, -5*v - 62 = 2*w for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:59 PM and 5:00 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 9*b**2. Let a(v) = -62*v**2 - 6541*v - 1. Calculate a(l(p)).\nAnswer: -5022*p**4 - 58869*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-18)\/u**(-3\/16)*(u*(u**(1\/4)*u)\/u)\/u**21)**(-8) assuming u is positive.\nAnswer: u**(601\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:41 PM and 12:42 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -109 = -7*z - 697. Suppose -5*j - 268 = 152. Is j less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 29*k - 2773 - 823. Suppose -5*w = -2*s - k, 4*w - w + 4*s = 90. What is the remainder when w is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 3*b - 1. Let t be 340\/(-119) - (-1)\/(-7). Give y(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 325 divided by -6?\nAnswer: -325\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 k and 1 o when four letters picked without replacement from {o: 1, k: 17}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 309797183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = c - 18. Let h(a) = 4. Let x(f) = 17. Let y(i) = 4*h(i) - x(i). What is -t(k) + 2*y(k)?\nAnswer: -k + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 39072 and 1903.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 132735577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29769*s + 1585*s - 15130*s.\nAnswer: -43314*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 8\/9 and 11\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000040063317 to seven decimal places.\nAnswer: 0.0000401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -a - 4. Suppose -5*b - 27 = -3*k, 2*b = -0*b - 2*k + 2. Let f be y(b). Let l(w) = 5*w**2 + 3*w + 2. Let q be l(f). Solve -4*r = -q - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 0 - a056b5?\nAnswer: -a056b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -152, -645, -1474, -2645, -4164, -6037, -8270?\n\"Answer: -w**3 - 162*w**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = -u - 11, 2*v + 3*u + 27 = 4*v. Suppose -2*b + 0*b = -5*t + 16, -4*t = -5*b - v. What is the units digit of (b + -1)*(-3 + 11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -22108 or -22074?\nAnswer: -22074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the second derivative of o**3\/6 - 3*o**2 + 80*o. Determine b(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*a - 16*a + 246. Does a = 82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*m**2 + 2*m**4 + 0*m**2 + (-1 - 2 - 1)*(m**4 - 1 + 1)*(-1 + 2 - 4) to h*m**3 + f*m**4 + n*m + o + z*m**2 and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 39068, 78136, 117200, 156260?\n\"Answer: -2*c**2 + 39074*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/5*a**2 - 1 + 4\/5*a.\nAnswer: (a - 1)*(a + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 467455 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -53 + 65. Suppose 0*l + 3*l = -2*c + 1156, -j = 3*c. Let s = l + -165. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -0.001, 0, -2\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 96657171*c**2. Let j(z) = 3*z. Give f(j(s)).\nAnswer: 869914539*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than -34\/1814533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the first derivative of -3*m**4\/4 + 9*m**2\/2 + 6*m - 7. Factor u(z).\nAnswer: -3*(z - 2)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 19*t**3 - 26*t**2 - 1 + 1 + 27*t - 1 - 29*t - 8*t**2 in the form h*t + p*t**3 + r + u*t**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*i - 20 = 8*i. Suppose 461 = j - 4*q, -i*j = -2*q + 6*q - 1804. What are the prime factors of j?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: -1312 (base 12) to base 11\nAnswer: -16a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be 6\/27 + 25\/9. Sort -3, 1, g.\nAnswer: -3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -24523406 (base 7) in base 9?\nAnswer: -4134415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 42 + -41.979. Let r = m + -0.02. Round r to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -38\/5, -413, 3, 1, 1\/4, 2\/7 in ascending order.\nAnswer: -413, -38\/5, 1\/4, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 3*a**2. Let n be 5 - 8\/2*(-1)\/(-4). Let w(d) = 1 - n - 99*d + 92*d. What is g(w(q))?\nAnswer: 147*q**2 + 126*q + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 0.071697 * 37\nAnswer: 2.652789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-525)\/2400*(-1120)\/98.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -71 - (-215 - (-50 - 57))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d**3 - 3*d**2 - 6*d - 4. Suppose -5*y - 27 = 3*i, i - 2 = 3*y + 17. Calculate the lowest common multiple of 24\/((-21)\/y + -2) and c(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1546 + 2171. Let k = t + 9138. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -33.950769019 + -0.049238181. Let s = z - -34. Round s to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 145 is divided by (-19)\/((-760)\/150)*64\/6?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 22 = -3*w, -8*x + 20 = -12*x. Suppose 4*d + 890 = w*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3002071 is divided by 1501027.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -10 + 13. Suppose -c + 16 = n*c. Solve c*k + 10 = -6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3100\/29089 + 2\/1531. Let o = 15\/49 - 1\/49. Which is the nearest to o? (a) -2 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 5*b**2 - 50*b + 50. Let c be j(1). What is the second biggest value in 0.068, c, -3, -4?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*v = 79 + 161. Calculate the greatest common factor of v and 540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -60507783 + 123167783. Round c to the nearest one million.\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 91125 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 7132, 28441, 63936, 113617, 177484, 255537?\n\"Answer: 7093*d**2 + 30*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 607 by 3.\nAnswer: 607\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 4*a**2 - 506*a - 2903. Calculate m(132).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that p**2\/7 - 24*p\/7 - 256\/7 = 0.\nAnswer: -8, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*v = -2*x + 27*v + 1327, -2*x = -3*v - 1321. What are the prime factors of x?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -39909388 by -4.\nAnswer: 9977347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -444404 + 142?\nAnswer: -444222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 100.387 times -0.06?\nAnswer: -6.02322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-1\/6)\/s**(-5)*s**(4\/5)*s**7*(s**(1\/4))**(-18)\/(s*(s**2*s)\/s)**(2\/27) assuming s is positive.\nAnswer: s**(356\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 20857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q = -3*q - 4*c - 19, -3*c - 11 = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the first derivative of -7\/2*g**2 + 37*g - 13. What is the tens digit of k(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = 0, 4*c - 6*z = -3*z. Suppose -r = -c*r - 2. Let q(v) = 2*v - v**2 - r*v. Let l(s) = 6*s. Calculate q(l(w)).\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find c such that -c**3\/2 + 558*c**2 + 232566*c + 3576160 = 0.\nAnswer: -310, -16, 1442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -206074*v**4 + 4*v**2 - v - 577.\nAnswer: -4945776*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 2*z**2. Let y(d) = 11489*d**2. Give y(t(b)).\nAnswer: 45956*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (j - j - 4*j)*(2*j + j - 2*j)*(5*j**3 + 4*j**3 - 6*j**3).\nAnswer: -12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = 86 + -31. Let h(v) = -2*v - 1. Let f be h(-3). Suppose -f*w + 15 = -i. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5322287261 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*k + 15 = 18*k. Let n(x) be the third derivative of -x**4\/24 + x**3\/6 - 2*x**2. Let y(o) = 2*o. Let i(h) = 3*n(h) + 2*y(h). Give i(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the first derivative of 1\/5*o - 7\/5*o**2 + 49\/15*o**3 - 56. Factor w(x).\nAnswer: (7*x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3927594 = -4*m + 3*f, 2*f - 2153830 = -5*m - 7063334. What is m rounded to the nearest 10000?\nAnswer: -980000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 0*c = -1. Let f(p) = 1 - c + 0*p - p. Let t(a) = -4*a**2 - 9*a - 9. Let y(h) = h**2 + 2*h + 2. Let d(u) = 2*t(u) + 9*y(u). Calculate f(d(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 366 minutes before 2:36 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p + 2*w + 16 = 0, p - 58*w - 214 = 46*w for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*o + 0*o - o)*(-14*o + 13*o + 11*o)*(o - 2*o + 3*o) to the form a*o + z + d*o**2 + q*o**3 and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -111101010 - 1110100011110100100?\nAnswer: -1110100100110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 15228 and 84600?\nAnswer: 761400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.324 and 0.02957?\nAnswer: -0.03915068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r and 2 c when four letters picked without replacement from ccrrrr?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:28 PM and 9:04 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t - 5*l + 59220, 13*t - 9*t - 118410 = 5*l. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 85*r - 8190. Determine u(89).\nAnswer: -625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor f**3\/5 + 36*f**2\/5 + 48*f - 320.\nAnswer: (f - 4)*(f + 20)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert -16 (base 10) to base 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 917*c + 683*c = -204265 + 217065 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 107350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 255512421?\nAnswer: 3, 59, 160397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor c**5 + 4 + 6*c - 4*c**4 - 14*c + 7*c**3 - 3*c**2 + 4*c**2 - c**4.\nAnswer: (c - 2)**2*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1249438750 rounded to the nearest one million?\nAnswer: -1249000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 538248 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + (-6 - -2) + 11 + (-17 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 253368 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*g = -3*j + 9*g, 2*j + 0*j + 4*g = -4*j + 90 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/((-10)\/(-4) + -3). Let b(w) = -1420003*w**2 + 5*w + 2. Let m be b(f). What is m rounded to the nearest one hundred thousand?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 108\/1701*-9*(-4)\/((-24)\/(-7)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*o + 1159 = 403. Let c(u) = -21*u**2 + o*u**2 - 29*u**2 - 20*u**2 - 28*u**2. Let h(t) = -6*t**2 + 5 - 5. What is c(h(k))?\nAnswer: -504*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let -3*r**5 + 15*r**4 - 12*r**3 - 48*r**2 + 96*r - 48 = 0. What is r?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 37, 51, 73, 103, 141, 187?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -157 + 48. Let y = n + 67. Which is smaller: y or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 25, 47, 45, 7, -79, -225, -443, -745?\nAnswer: -1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-174)\/(-3016))\/(3\/(-12)). What is the biggest value in h, 2\/13, -3\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rmh when three letters picked without replacement from {y: 6, m: 3, r: 1, h: 9}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + 4 + sqrt(243)*2)**2 + 4 + -1*(sqrt(243) - (-1 + sqrt(243)))**2)*2.\nAnswer: 504*sqrt(3) + 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 33, -37, -239, -639, -1303, -2297, -3687?\nAnswer: -5539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (246\/205)\/(40\/25 - 1). Solve -2*i = -4*u - 16 + 36, -u = -p*i - 14 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2) - (sqrt(64)\/sqrt(4))\/sqrt(8))**2 - (1 + sqrt(162)).\nAnswer: -9*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 259 + 669 = -232*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1 - -1. Which is the third biggest value? (a) x (b) -0.05 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + sqrt(288) + 2)*5)**2 - (1*sqrt(16)\/((sqrt(16)*1)\/sqrt(2)))**2.\nAnswer: 7198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cwcrqrwcc. Give prob of sequence rw.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 5*y + 31. Let h be f(-14). Round h to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2960?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in thirty-two fifths of a millisecond?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the third derivative of y**4\/24 + y**3\/6 - 5*y**2. Let m be q(0). Calculate the remainder when 10 is divided by m\/(2 - (-5)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 + 4. Suppose -4 - y = -5*w. What is the units digit of 3\/w*4\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-76)\/(-513))\/(((-104)\/(-8))\/(-156)).\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in 0.1, 5\/6, -4, 63?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 45*r - 33*r - 48 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Are 0.3 and -77810 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 74*l = -242602 + 38510. Is -2760 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 16 - 16. Solve -4*o = 5*w - 6, 3*o + w + 2*w - 3 = a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -14 - 4. Let w be (-6)\/((g\/(-40))\/3). Let l = -22 - w. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 88.5 + -112. Round g to 0 dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -10, -21, -38, -61, -90, -125, -166?\n\"Answer: -3*h**2 - 2*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**3 + 9*x. Let o(w) = 8*w**2 - w. Let f(q) = -o(q) - z(q). Let l(v) = -8*v**2 + 2*v - 1. Let k be l(1). Determine f(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the first derivative of q**4\/28 - q**3\/2 + 9*q**2\/7 - 33*q + 7. Let r(x) be the first derivative of y(x). Factor r(i).\nAnswer: 3*(i - 6)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 58651 is divided by 339?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 65476958111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = 409 - 411. Let y(k) = -k - 6. Suppose 4*w = 3 + 13, 2*w + 4 = -2*b. Let g be y(b). What is the closest to g in -0.4, o, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*t + 3*k + 7 - 0, 4*k = t - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 18879 and 32533911?\nAnswer: 2697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 10.07, -2\/39, 2?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 444130320 + -2?\nAnswer: 444130313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**2\/9 + 22586*y\/9 - 277648\/3.\nAnswer: -2*(y - 11256)*(y - 37)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 - -10231020341?\nAnswer: 10231020344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 246991 and 1468?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -120 + 152. Let z be (-1)\/19 + (-16417)\/(-19). Calculate the greatest common factor of z and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jycmmsccjjyccc. Give prob of sequence mmsj.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 122683 equal to 122684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = g**2 + 12*g + 38. What is s(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/(-12)*8*(-9)\/(-4). Solve -4*z + 3*l = 1, -p = 3*z + z + 2*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*m - 2*m - 59*m**3 - 172 + 172.\nAnswer: -59*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 403 + -202. Suppose 5*t - b = -3*k, 0*k + 3*k + 33 = t. What is the remainder when t is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((sqrt(200)*2*-4)**2 + 0 + (sqrt(200) - ((sqrt(200) - (sqrt(200) + -1)) + sqrt(200)))**2).\nAnswer: 25602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 45*g**2 + 3*g + 7. Let t(p) = 223*p**2 + 17*p + 36. What is 11*s(r) - 2*t(r)?\nAnswer: 49*r**2 - r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = -14453 - -25988. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -2*r**3 - 7*r**2 - r + 7. Let n be i(-3). Let m be (2 - n) + 5 + 5 + 8. Solve 4*w - 7 = -m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -61.779746 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6314100.\nAnswer: 2, 3, 5, 13, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/785, -0.5, 26 in ascending order.\nAnswer: -0.5, -3\/785, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/4, 1\/2, -0.4, 42, -1\/6, 2 in descending order.\nAnswer: 42, 2, 1\/2, 1\/4, -1\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-57 - -8)*1\/(-1) is divided by 34?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 7*x**2 + 10*x**2 - x**2 - x + 2*x**2 + 5*x**4 - 17*x**2 + 3*x**3 as p*x + w + z*x**2 + l*x**4 + m*x**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 118054525.\nAnswer: 5, 457, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {t: 1, m: 1, o: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30307?\nAnswer: 30307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 4 + 2)*(502 + 233 - 25)*(-c + c + 6*c) to the form v*c + z and give v.\nAnswer: -8520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = 5*y - 4 + 14, 0 = -3*y - 4*h - 7. Sort -3, y, -34 in ascending order.\nAnswer: -34, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2352.34 + -2352.3. Let r = 1.6 - 2. Let p = r - 0. Sort 0.1, p, d.\nAnswer: p, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 253*y - 197*y + 10 + 5 - 4 + 475*y.\nAnswer: 531*y + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -13271 - 7925 - 11479 = 754*o + 19351 for o.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 572 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes before 10:54 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 4*y**2. Let w(r) = 884*r**2. What is w(n(c))?\nAnswer: 14144*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.59 + -0.21. Let d = s - 0.2. Let y be 5\/(-20) + (0 - 1) + 1. What is the biggest value in y, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -55\/448 and -73\/556672.\nAnswer: 3896704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) be the first derivative of g**3\/3 - 2*g**2 - 2*g - 11. Let r be z(5). Solve 0*y + r*y - 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ttuutgeteeuutuutte. What is prob of sequence gee?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 1389415.734us to weeks.\nAnswer: 0.000002297314375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/(-672))\/(5\/(-8))*-5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1019643300 divided by -1?\nAnswer: -1019643300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify h*h**11*(h*h*h\/((h*(h\/(h\/((h\/(h\/(h\/(h*h*h*h**(-13)*h*h))))\/h*h)*h))\/h)\/h)*h)\/h*h**(-7)*h\/h**(-4)*h assuming h is positive.\nAnswer: h**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*p + 2*p + 2*p**3 - 9*p**2 - 5*p to k*p + q*p**2 + x*p**3 + o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = -i - 41, -5*r - 22*i = -17*i - 65. Suppose 3*z - 270 = -g + 3*g, 0 = -z - 5*g + 90. Calculate the greatest common divisor of z and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 267 + -251. Suppose -12*b = -4*j - 9*b + 52, 0 = 4*b - s. Calculate the smallest common multiple of 6 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*r = -11*r + 10. Calculate the least common multiple of 6 and 4*r - (5 - 3)*-8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 331*g = -591*g - 7025 - 34465 for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = -70*m + 68*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -63 - 56 - 653*h + 119.\nAnswer: -653*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -0*h. Let x(s) = -s**2 - 7*s - 6. Let u be x(-2). Suppose 0 = -2*b - h*b - u. Sort b, -5, -8 in increasing order.\nAnswer: -8, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71 times 0.065?\nAnswer: 4.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 784 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/24*-76*(-48)\/80*-5?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -48*w + 2524. Determine o(53).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1121 - 1571. Let g = -450.0000101 - d. What is g rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 332*i + 40 + 40 - 80.\nAnswer: 332*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 10}. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t = 4*d + 24 + 12, 4*t + 3*d = -28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2041 - 2173 = -11*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 446981*j - 164094 wrt j?\nAnswer: 446981","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 37443 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 273 and 73489.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -10010110001 (base 2) in base 9?\nAnswer: -1574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -1, 2\/9, -5\/389, -24 in increasing order.\nAnswer: -24, -5, -1, -5\/389, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -8815291 divided by 1?\nAnswer: -8815291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dzt when three letters picked without replacement from nttduuuztpud?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 28 and 665028?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 1)*(5*t - 2*t**2 - 5*t) + (-1 + 3 - 5)*(t**2 - 1 + 1) - t**2 - 3 + 3.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 3*i + 10*i - 25*i = 0. Let k(x) be the first derivative of -19*x - 11\/4*x**4 + 0*x**3 - 21 + i*x**2. Differentiate k(a) with respect to a.\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 519306408 to the nearest integer?\nAnswer: 22788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -33 (base 6) in base 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2660 and 1120.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(2\/7)\/o)**(1\/10))**(13\/3)*(o*o**0\/o*o)**(1\/8)\/((o\/o**(1\/3)*o)\/o)**(-16) assuming o is positive.\nAnswer: o**(587\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 32757 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.0375 + 0.0022. Let o = 0.479 - 0.44229. Let c = o - i. Round c to 4 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 18*w + 10. Let g(q) = -q. What is p(g(i))?\nAnswer: -18*i + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -9*u**2 - 4*u. Let c(y) = -10*y**2 - 3*y. Let v(t) = 4*c(t) - 3*m(t). Let b(i) be the first derivative of 2*i**3\/3 - 2. Determine b(v(k)).\nAnswer: 338*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 51*g - 7*g**2 - 51*g.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 297 + -172. Let p = 26 + -1. What is the greatest common factor of l and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1164 + 1168.91. Let q = 0.09 + r. Let o = 269 + -270. Which is the biggest value? (a) q (b) 0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62596 = -4*s + 4*y, 5*y + 15625 = -97*s + 98*s. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 64 = a - 3*h, -1048*a - 100 = -1043*a + 5*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: ((4 - (-231)\/(-70)) + (-12)\/10)*-4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -b9687 (base 16) in base 12?\nAnswer: -30759b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v**(-3)*v)\/(v\/v**(-6))*(v\/(v*v**(2\/11)*v*v))\/v*v*v*v**(-1\/4) assuming v is positive.\nAnswer: v**(-415\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sum 4841345 and -34227.\nAnswer: 4807118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2\/179 + 187\/716. What is the nearest to 2\/3 in k, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 48*h**3 - 107*h**3 + 16*h**3 + 45*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*c - 2*c = -2*x + 16, 1 = -c - 3*x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - (-34)\/(-8))*8958\/(-40311) - (-58)\/20?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v**3 + 53*v**2 + 3*v + 363. What is the lowest common multiple of i(-53) and 8?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 11 + 1. Let k be ((-4)\/6)\/(1\/z). What is the tens digit of (126\/(-4))\/(6\/k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 70 and 63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, -4, 1 in decreasing order.\nAnswer: 1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 19*(2060\/2163*(-70)\/20)\/(2\/3)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 5971.364 centuries?\nAnswer: 59713.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a - 2. Let b be w(5). Suppose -3*d = 4*g + b, 0 = -4*d - 4*g - 8 + 4. Sort -5, d, 5 in descending order.\nAnswer: 5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*2\/38*11\/22*2?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -10 + 30. Let q be 1*-2 - (1 + 3). Let k be 0\/(-1) - (3 + q). Solve -1 = -4*i - 3*o + 15, -k*o - z = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2053390231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10 - -110110111100011010000010?\nAnswer: 110110111100011010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-70)\/110*(-176)\/128*(-200)\/(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -80*h + 1545. Determine w(19).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 12921 and 438.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6 and 498?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*t**3 + 4*t**3 - 6*t**3)*(2*t**2 - 7*t + 7*t).\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/17 (b) 0.16 (c) -5 (d) -3 (e) 4 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2014 and 893?\nAnswer: 94658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o**3 - 6*o**2 - 13*o - 9. Let d be s(-9). Let m(u) = -d + 351 - 3*u**2 + 2*u. Let n(y) = -y**2. Give n(m(b)).\nAnswer: -9*b**4 + 12*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) be the third derivative of 59*r**7\/35 - r**5\/60 - 148*r**3\/3 - 466*r**2. Find the third derivative of p(q) wrt q.\nAnswer: 8496*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -101*t + 104*t = 1194. Suppose 2*d + 3*q - t = 7*q, 3*q + 606 = 3*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, 0.08, 5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is d - -192b?\nAnswer: 1938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 5*b = 33, -3*o + 17 = 4*b - 15. Suppose 0 = 4*x + 5*c - 9, -o*x + 5*c - 12 = -51. List the prime factors of (-8 + 11)*50\/x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k**(2\/7))**28)**(-4\/21))**27 assuming k is positive.\nAnswer: k**(-288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 1407, 5601, 12591, 22377, 34959, 50337, 68511?\n\"Answer: 1398*g**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(72) + (sqrt(72) + -1 - sqrt(72)) + 2)**2 + sqrt(72) + 4 + -2*(1 + sqrt(72))**2*6.\nAnswer: -799 - 126*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 8*q + 4. Let h = 86 + -91. Let a(s) = -15*s - 7. Suppose 5 - 191 = 62*d. Give d*a(v) + h*l(v).\nAnswer: 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 632470 divided by -126494\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -28 - -27.9. What is the nearest to h in 5, -0.02, -4\/3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1747 is divided by 113?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2.41 - -2.41421. What is c rounded to 4 dps?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = 1, -51 = 3*p + w - 268. Suppose -d = -5*d - p. Which is smaller: -19 or d?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1 + (0 - (-11)\/13). Let u(p) = p**2 - 4. Let q be u(3). Suppose -5*i = 2*c - 2 - 3, 5*i = -5*c + q. What is the biggest value in c, 1\/7, v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 18 = 5*a, -a - 4 = -2*c + 2. Let v(m) = -2*m**2 - 15*m - 5. Let y(p) = p**2 + 7*p + 2. Let s(n) = -2*v(n) - 5*y(n). Is s(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 1878*t**2 - 9*t - 22. Is x(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4928 in 672, 2\/3, -5\/2, 1\/8, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 445326257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from zooj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/5 in -6, -5, 0.0383, 0.05, 0.2?\nAnswer: 0.0383","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 188558\/57 - 421583597\/127452. Let w = -1\/559 + p. Which is the nearest to 1? (a) w (b) 2 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -32 divided by 80243.\nAnswer: -32\/80243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -u - 2*u. What is the second derivative of -56*i**4 + 10*i + 29*i**4 + 31*i**u wrt i?\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 265889 to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4031538*b**2 - b + b - 4031538*b**2 - 8*b**3 + 5.\nAnswer: -8*b**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1211503046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 404852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -616 + 612. Let b = -23\/4 - -11\/2. Let q = -1.8 - -2. What is the nearest to q in b, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence is when two letters picked without replacement from {s: 1, i: 1, c: 2, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.07 and -31.\nAnswer: -2.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b**2 + 4 - 4)*(-190*b + 355*b**2 + 43*b + 146*b).\nAnswer: -710*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.5423 - -6.4577. Which is the nearest to 0? (a) 7 (b) -0.1 (c) x (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uif when three letters picked without replacement from ivubbuf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 25106360 (base 7) in base 9?\nAnswer: 4215382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 60, 147, 236, 327, 420, 515?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -7 by -9.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -31*q**3 + 2*q + 2. Let x = 86 - 87. Calculate the remainder when 247 is divided by v(x).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o + 3*z - z + 98, 3*z = o - 17. Let u(v) = 3*v**2 - 6*v**2 - o + 4*v**2 - 2*v + 0*v. Calculate the remainder when 10 is divided by u(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2 + -1)*(-40)\/(-12). Let w = -10 - l. Solve -o + 4 = -w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -f**3 + 7*f**2 - 6*f + 2. Let w be i(6). Suppose 3*h + w*n + 0*n - 4 = 0, n - 2 = 0. Is -1 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 25 - 21. Let y be 50\/(-4)*10*x. Let m be (0 - y)\/(1\/(-332)). What is m rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -105264 divided by -2\nAnswer: 52632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes after 3:58 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v**2 - 3*v - 16. Let g be d(-3). Find the third derivative of -6*l**2 + 0*l**2 - 6*l**g - 29*l**6 - 7*l**2 wrt l.\nAnswer: -3480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -5*d**3 - 5*d**2 + 15*d - 5. Let s(z) = z**4 - 6*z**3 - 6*z**2 + 16*z - 6. Let m(i) = -6*r(i) + 5*s(i). What is the second derivative of m(x) wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -3*u**2 - 4*u. What is m(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 193 is divided by (-40)\/(44\/(-12) + 51\/17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/3799050 and -83\/6495150.\nAnswer: 201349650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 88 = 12. Suppose -4*t + 19 = 2*v + v, y = 5*t. What is the highest common factor of 9 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z**3 - 78582*z**2 + 549945*z - 471366 = 0 for z.\nAnswer: 1, 6, 26187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -41*j**5 - 22*j**5 + 28*j**5 + (5*j**3 + 7*j - 7*j)*(-2*j - 2 + 1 + 2)*(3 - j - 3).\nAnswer: -25*j**5 - 5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-42945)\/(-1227))\/(14\/(-4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.7 + 2.7. Let s = -5 + 2. Which is the biggest value? (a) -1 (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1648, -3295, -4942, -6589?\nAnswer: -8236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 56*c - 86281 - 245855 - 187040. List the prime factors of c.\nAnswer: 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 + 2 - 5)*(2*l + 0*l + l) + (-2*l - l + 5*l)*(-4 + 4 + 1) + (2 + 2 - 5)*(-4 + 4 - 3*l) to v + u*l and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = 5*n - 3, c - 3 = -0*n - 3*n. Suppose -4*k + 5*k - 18 = n. Calculate the highest common divisor of k and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2597 + 2600. What is the smallest value in r, -4, -7\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 4*c + 12. Give s(10).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 5738377031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -735 - -880. Calculate the remainder when 551 is divided by g.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + 71*n - 36*n - 32*n - 26*n in the form m + c*n and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -6840 times 302?\nAnswer: -2065680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 8*z + 2*z - 3*z - 2*z - 2*z. Let j(k) = -364*k**2 - 169*k + 169. Let r(f) = 13*f**2 + 6*f - 6. Let v(o) = -6*j(o) - 169*r(o). Calculate v(d(b)).\nAnswer: -117*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = -34 - -49. Suppose -2*j + i = 3*j. Solve 3*m - m = v, -4*v + j = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 57225408?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8693 = 10*p - 66193. Suppose p = 30*v - 5*v. Calculate the remainder when v is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -8*o - 2*o + 6 + o**2 + 4*o. Let x be m(5). Solve -2 = s + x, 10 = -2*k - 4*s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -70*l**3*w**3 + 2*l**3 + 56*l*r*w**3 - l*r - 68070*l*w + w**2 wrt w.\nAnswer: -420*l**3 + 336*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 90 divide 3967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*(o**7\/o)\/o*o*o*o*(o\/(o\/(o*o\/o**(-3))))\/o)**(-29\/4)*(o*o**(-1\/4)*o)**(-4\/23)*o**4*o**(-1\/11) assuming o is positive.\nAnswer: o**(-91733\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -2955 + 28777\nAnswer: 25822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -46909, -46907, -46903, -46897, -46889?\nAnswer: -46879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*p + 7*p - 4*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + (0 + 3)\/(-18)*-8?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 47763 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -51, -213, -375?\n\"Answer: -162*b + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 218998 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 53 - 39. Calculate the remainder when 82 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 759 and 1081146?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2 (b) 126 (c) 0.2 (d) -285 (e) 0 (f) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 923 = -2545. Suppose -5*c - 2*t = -d, -2*c + 4*t = -0*t - 366. Suppose -i = j - c + 59, -5*j = i - 120. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nn when two letters picked without replacement from nncnnnnncnn?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 10 + 9 = a, 0 = 4*a + 3*c - 21. Solve 2*g = -2*i, -3 = 2*i - 2*g + a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/222 and -59\/18.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**2\/7 - 1660678*p.\nAnswer: 2*p*(p - 5812373)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 626867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-1))**4*(v**(1\/3))**2)\/((v**(2\/5))**(-40)\/((v**(-1)*v)\/v**(-2\/3))) assuming v is positive.\nAnswer: v**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**3 + 28*c. Let o(m) = -5*m**3 + 22*m**2 + 74*m + 6. What is 3*f(x) - o(x)?\nAnswer: 2*x**3 - 22*x**2 + 10*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 18\/43 (b) 1 (c) 0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-8296)\/(-2) + -8 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y - 6*y = -0*y. Suppose -7*k = -11*k + 8. Let z(l) = l**k - 3 - l**3 - 7 + 4 + l. Determine z(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-1)*q**(-2\/3)*q**(-1\/13)\/(q*q**6))\/(q**(-3\/5)\/q*q**(-8)*(q\/q**(-3\/8)*q)\/q*q**(-2)) assuming q is positive.\nAnswer: q**(2311\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = -23 + 19. Let p be (-5)\/10 + h\/8. Let w = -151\/364 + 3\/28. Which is bigger: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2142 - 3*n**2 + n**2 + 2142.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**3 - n**2 + n - 4. Let d be t(-3). Suppose -2*j + 8 = -0, 3*h - 4*j = 32. What is the remainder when 2520\/55 - (-2)\/d is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 44382.686 + -44467. Let d = k - -0.014. Let j = 89 + d. Round j to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -29086 + 71174 = 3526*q - 95426 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 5 (b) -4 (c) -103.1 (d) -2 (e) -0.4 (f) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add together -54 and -7348.\nAnswer: -7402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -15, -2, 1, 0 in ascending order.\nAnswer: -15, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w. Let v(u) = 3*u. Let i = -53 - -62. Let r(q) = i*c(q) + 4*v(q). Let j(a) = 6*a**2. Give j(r(z)).\nAnswer: 54*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in 16, 3, 0, 12, 57\/14, 25\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the third derivative of z**9\/60480 - z**8\/2880 + z**7\/1260 + z**6\/144 - z**5\/15 + 6*z**2. Let p(l) be the third derivative of x(l). Determine p(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 36 and 147968.\nAnswer: 1331712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 72 = -3*x, -6*x + 123 = -x - 4*i. Suppose 0 = x*r - 26*r - 8. Calculate the remainder when 21 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*sqrt(126)*-2)\/sqrt(6))\/((1*sqrt(700) + sqrt(700))*1) + 0.\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 284.14221 - 285.304. Let z = h - -1.16. What is z rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 53 or -1\/3?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 885667320 to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-34)\/(-10))\/(1\/5). Let o = 24 - l. What is the remainder when 11 - 0\/(-2) - -120 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 90504?\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from zdkkkkkkkkkkkkdd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1101001 + 11?\nAnswer: -1100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 445 minutes after 1:42 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 572*a**3 + a - 2. Let g be (-1)\/1*(-6 + 5). Is z(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 12*s + 1. Let b be u(-1). What are the prime factors of (-605)\/b + -1 + -1?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 22161012 - 22161010.6300057. Let c = -330.37 + 329. Let v = c + i. Round v to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-52)\/10*(-12 + 17). What is the units digit of (s\/4)\/((-13)\/26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 + 3 - 2)*(2*d - 2*d - d**2) + (3*d - 4*d + 2*d)*(-2*d - 2*d + 3*d) + 0*d**2 - 3*d**2 + 5*d**2 + 7 - 46*d**2 - 7)*(-d + 3*d**2 + d).\nAnswer: -132*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*f - 3*f**2 + 10*f - 10*f + (2 - f - 2)*(2*f - 2*f + 4*f).\nAnswer: -7*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2 + (5 - 4))*-9. Suppose -5*f - 280 = -o*f. Suppose -f*r = -72*r + 20. Calculate the remainder when 33 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -47 - -52. Sort d, 2, 1, -3 in descending order.\nAnswer: d, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sosd when four letters picked without replacement from {s: 3, d: 5, o: 4}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1.38 (b) 6\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -224114114 - -332?\nAnswer: -224113232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -3*d - 9. Let f(y) = 5*y - 1. Let g be f(-1). What is the units digit of s(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 117999598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3907 = 51*c + 1204. Calculate the remainder when 368 is divided by c.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/(o*o*o**1))\/o*o)**(-1\/2)\/(o**(1\/4)*o*o**(-4)) assuming o is positive.\nAnswer: o**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 73\/273 and -37\/351.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u + 4. Let i(j) = j - 4. Let g(f) = 6*i(f) + 5*t(f). Let d(z) = -z + 1. Let l be d(1). Let v(k) = -3 + 0 + l + 2. Give -2*g(w) + 9*v(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -4295*w**2. Let s(q) = -110323*q**2. Give s(z(o)).\nAnswer: -2035131139075*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 8\/25 of a century?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -98125289 rounded to the nearest 1000000?\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvcvvvvvlvvvv. What is prob of picking 1 l, 1 c, and 1 v?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -16*c - 566. What is v(-35)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 2, i: 1, s: 4, u: 2, r: 5}. What is prob of picking 1 u, 2 r, and 1 s?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -285905655*d + 147203904?\nAnswer: -285905655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 720 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -480700 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -214703, -858821, -1932411, -3435521, -5368199, -7730493, -10522451, -13744121?\nAnswer: -17395551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 15*h**2*t**3 - 41*h**2*t**2 - 35*h**2 + 208*h*t**3 + h*t - t**3 - 3*t**2 wrt t.\nAnswer: 90*h**2 + 1248*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 17144073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -30.301433 to one dp.\nAnswer: -30.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/1*(55 - 2). Let o = 118 + s. What is the remainder when 42 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 48285 by 5.\nAnswer: 9657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 1506290 to the nearest ten thousand.\nAnswer: 1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -2*c. Let l(y) = 2*y**2 + 172865912*y. Give l(x(r)).\nAnswer: 8*r**2 - 345731824*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (466 - 466) + 0 + (15 - 3) + 1 + 99.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 556.219 millilitres to litres.\nAnswer: 0.556219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3 - 357285?\nAnswer: -357288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 12*l + 753. Let h be w(-59). Suppose -4*i + 3*t = -8*i + 107, 3*i = -2*t + 81. Let u = h - i. What is the least common multiple of 10 and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2806.\nAnswer: 2, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1065994291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*h = 7*h + 40. Suppose 6*a - h = 2*a. Suppose -a*m = -4*d - 192, 0*d + d = -3*m + 105. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -1, -2, 3.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 4, 7471.4, 1\/5 in ascending order.\nAnswer: -5, 1\/5, 4, 7471.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3612 + 6682. Let u = -165505\/49 + 14711\/49. Let l = v + u. Calculate the common denominator of -28\/3 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 8941 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 82*c - 243458886 = -243455770 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(143)*3)\/sqrt(11).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -2069*g. Let p(f) = 145*f**2 - 159*f. Give v(p(q)).\nAnswer: -300005*q**2 + 328971*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 27 = 4*u - 0*j, 2*u = j + 9. Let l = 6 - u. Suppose 4*i = r + 225, 0*i - 174 = -l*i - r. Calculate the remainder when i is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7*(-1)\/4 + (5597\/116 - 0 - 30)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the third derivative of -c**6\/40 + 41*c**5\/20 - 143*c**4\/8 - 185*c**3\/2 + 2786*c**2. Factor o(z).\nAnswer: -3*(z - 37)*(z - 5)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 119 (b) 9 (c) 197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -292*a + 309*a = 2142. What is the highest common factor of 728 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*q**4 - 8*q**4 - 4*q**4 + (-142 + 56 - 5 - 114)*(0*q**4 + 2*q**4 - q**4).\nAnswer: -213*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 544 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -389995 at most -117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b be -1 + 0\/1 + -26. Let s be 3\/(-6)*(-10 + -10). Let v be 15*(2 + (-18)\/s)*-9. Is b < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7 + -12. Let u be 0\/(w\/(5\/(-2))). Suppose u = 5*q - 2*m - 96, -2*q + 3*q - 12 = 4*m. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*u = -357*u + 82*u + 23068 for u.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2, 4, 8, 14, 22, 32?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 39? (a) -13 (b) -1 (c) -5 (d) -124 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 7494\/100 + (-9464 - -9389)\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n**2 - 3 + 0*n + 5 + n. Suppose 311*v - 314*v - 2*i = -20, -40 = 4*v - 4*i. Calculate j(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1110110101 (base 2) in base 12?\nAnswer: -671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00431056215 to seven dps.\nAnswer: 0.0043106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7121 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 455*m - m**3 - 120591200*m**2 + 120591200*m**2 in the form p*m**3 + h + c*m**2 + b*m and give b.\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*j**2 + j**2 + 7*j**2 - 10*j**2 + 2 - 529*j + 9*j**2 to the form x + t*j**2 + h*j and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 15 - (-9 - (-8 - 3))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -6*g + 3. Let f(j) = 13*j - 7. Calculate -2*f(m) - 5*h(m).\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*t - 2*t**2 + 2*t)*(-6 + 7 + 3)*(-36 + 6*t + 36) as m + u*t + f*t**3 + b*t**2 and give f.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 38 and 1672.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r**3 - 48*r**2 - 47*r - 242. Give h(-47).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -25761 = -56*f - 27889 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.5? (a) 5.19 (b) 75 (c) 0.03 (d) -6 (e) 4 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dwdodwdwwdowdwd. Give prob of picking 2 o.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is ((-50)\/200)\/(8\/56)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 94 and 8.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2, 3.9, 9, 4, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 14*n**2*p**2 + 19*n*p + 2142*p**2 wrt n.\nAnswer: 28*n*p**2 + 19*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 581 is divided by 271?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/4 + (-3)\/(-2). Let b be (150\/42 - 4)\/(1\/(-7)). Factor -b - 3 - 14*q + 18*q**i + 4 - 2.\nAnswer: 2*(q - 1)*(9*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:52 PM and 6:48 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand ((5 + 1 - 3)*(3 - 1 - 4) - 1 - 3 + 3)*(0*d + 4*d**3 - 5*d**3 - d).\nAnswer: 7*d**3 + 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -935 + 26 + 1261*h - 907 - 599 - 1984 with respect to h.\nAnswer: 1261","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 2*x + 3)*((0 + x + 0)*(5 - 1 - 2) + 4*x - 3*x + x) - 7*x**2 - 253*x + 253*x.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2*(-2)\/((-16)\/20). Suppose -g - 46 + 6 = 3*l, g + 64 = -q*l. Let z = l - -12. Solve -x - 2 - 2 = z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -1294, -1, 6, 2 in ascending order.\nAnswer: -1294, -1, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 452 or 3?\nAnswer: 452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -133139*s**3 + 66568*s**3 + 66567*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand j**2 + j**2 - j**2 + (j - 3*j + j)*(1 - 1 - j) - 7*j**2 + 8*j**2 - 3 + j + j.\nAnswer: 3*j**2 + 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes after 4:22 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 23130010 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 18 (base 15) to base 11.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*b = -203 - 697. Calculate the least common multiple of b and 220.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - 4)\/(-16) - (8 - (-1230)\/(-160))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-12)\/(-3)*((-36)\/(-16))\/3. Suppose o*k - 1 = 5. Let s(a) = -9*a**3 + 4*a + 5. What is the least common multiple of s(-1) and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -31\/13 bigger than -0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2040189*i**4 + 11*i**3 + 3249*i**2 - 56623*i.\nAnswer: -48964536*i + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.29 + -0.21. Sort 1\/2, x, 2 in ascending order.\nAnswer: x, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -6*h + 4. Let l be i(13). Let w = l + 516\/7. What is the nearest to w in 0.1, 2\/19, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -f*l*u**3 - 24*f*l*u + 1307*f*u - 2*f + 3*l*u**2 - 4*l*u + 2*l - u**3 - 38*u - 360 wrt f.\nAnswer: -l*u**3 - 24*l*u + 1307*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(3 + sqrt(108) + 0 + 1 + sqrt(108)*1 - (-1 + 1*sqrt(108) + 2))**2.\nAnswer: -234 - 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 - -2. Suppose -2*u + a*u + 52 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/24 of a day in seconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -10042 + 26232. Round b to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in fifteen quarters of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1 + -7 - (11836230\/(-58) - 52\/754) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sllllslllzvzlzgzlls. Give prob of sequence lz.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3.1 - 3. Let p = 2 - 1.4. Let s = -0.1 + p. Which is the nearest to v? (a) s (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1113020300 (base 4) in base 7?\nAnswer: 3014363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 + -1)\/(-36 + 21472\/592)*-5?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 4*q**2. Let l(p) = 11*p**2 + 46*p**2 - 30*p**2. What is l(c(t))?\nAnswer: 432*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:20 AM and 8:47 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 1, c: 5, g: 1, m: 3, s: 3}. Give prob of picking 1 g, 1 t, 1 c, and 1 s.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*b**3 + 7*b**2 - 3*b + 2*b + b wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 - 0.1. Let t be -1*25*(10 - 12). Let x = 199\/4 - t. What is the third biggest value in y, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/488565 and 73\/78960.\nAnswer: 7817040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/336 and -127\/2090802?\nAnswer: 16726416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 12*a**2 + 34. Let d(r) = r**2 + 3. Let s(g) = -g**3 - 8*g**2 - 5*g + 8. Let x be s(-7). Let l(m) = x*q(m) + 68*d(m). Let i(o) = 2*o**2. Give i(l(h)).\nAnswer: 32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 15*z**4 - 5*z**3 + 5*z**2 - 25*z. Let s(a) = a**4 + a**3 - 4*a + 1. Let t(r) = f(r) - 10*s(r). What is q in t(q) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the second derivative of -211*m**8\/56 + m**7\/21 + 5*m**4\/12 + 19*m**3 + 1232*m. Find the third derivative of s(c) wrt c.\nAnswer: -25320*c**3 + 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 29\/3 or -8\/111?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -771 + 422.152.\nAnswer: -348.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -3*v - 2. Let y be t(-4). Suppose -8*w + 13 + 19 = 0. What is the units digit of (y\/w)\/((-1)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-5)\/30)\/((-2)\/(-27)))\/(369\/984)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 500*s + 295*s**2 + 52*s**2 + 88*s**2.\nAnswer: 435*s**2 + 500*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 3*n + 412 = 0, 88 = w + 2*n - 0*n. Suppose -3 = -j + 4*j - 4*m, -2*j + 9 = m. Let r be (w\/j)\/(4\/2550). Round r to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 55\/28 and -103\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -29e (base 15) to base 11.\nAnswer: -4a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5260 - -9038. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 8*u**3 - 24*u**2 + 29*u - 37. Does 23 divide k(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 2 v when three letters picked without replacement from {n: 7, j: 2, h: 1, v: 9}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence foq when three letters picked without replacement from ofq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*d + 20*d + 7*d - 23 - 164.\nAnswer: 13*d - 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*c + 118*c**2 + 2 + 45*c**2 + 25*c**2 + 57*c**2 to v*c + a*c**2 + p and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 8327960 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -77 - -76.9. What is the nearest to -0.1 in 1, y, -13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the third derivative of 0 + 0*l**5 + 1\/6*l**3 + 1\/120*l**6 - 3*l**2 + 0*l**4 + 0*l. Differentiate c(v) wrt v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1280 + -1292.17. Let m = 0.17 + f. Let d = m - -12.05. Which is the smallest value? (a) 1\/11 (b) d (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y**2 + 5*y + 1. Let u be h(4). Suppose k - 12 = 5*s + 5*k, 30 = -5*s + 5*k. Which is the smallest value? (a) 4 (b) u (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 28\/8 + (-2)\/(-4). Solve 4*a = -j*i - i, 3*i + 8 = -4*a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 102 and 170?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 412 = -5*q, -54*q + 58*q - 356 = 5*a. What is the greatest common factor of q and 5516?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**8\/(((y\/((y*y\/(y*y**(-1\/3)))\/y)*y*y)\/y)\/y))\/((y**(-11)\/y)\/y**(-9)) assuming y is positive.\nAnswer: y**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the first derivative of -p**4\/12 + 9*p - 3. Let r(v) be the first derivative of n(v). Let c(f) = 8*f**2. Determine c(r(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1294?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -n - n + 3*v - 30, -4*n = -4*v + 52. Is n\/6 - (-17)\/2 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 232852.9t in grams?\nAnswer: 232852900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 21*s**4 + 3 - 8 - 24 wrt s?\nAnswer: 84*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + 0 = 4*t. Let c be (-1 + 1)\/(t + 1). Suppose -5*k - 2 = 3. Is c equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 218386 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 93*b + 35435 - 33389 = 0 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 85, 47, -25, -137, -295, -505?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -51 + -3. Let r(x) = 18*x**2 - 162*x + 4. Let p be r(9). Sort p, g, 5, 0 in descending order.\nAnswer: 5, p, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*p = 28*p + 28 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-1))**(3\/11)*x**8\/(((x**12\/x*x)\/x)\/x*x) assuming x is positive.\nAnswer: x**(-36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 227\/5, -2\/9, 1\/5, -5, 1\/6, 15?\nAnswer: 227\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 60 - 64\/9*y**5 + 12956\/9*y**3 + 2848\/3*y**4 - 3244\/9*y + 188\/3*y**2 = 0. What is y?\nAnswer: -1, 1\/4, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 29117, 29113, 29115, 29129, 29161?\n\"Answer: a**3 - 3*a**2 - 2*a + 29121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/4 and 61\/35148.\nAnswer: 35148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 262*k + 7995360 = 502*k. List the prime factors of k.\nAnswer: 2, 16657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 4*j + 4*o + 36 = 0, -3*o = 3*j. Suppose y - 2 = -5*c + c, 0 = -4*y + 8. Let a = 19 - 5. Solve -f = c, -3*f = j*r + 6 + a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 11*c - 1. Let r(o) = -22*o + 3. Let l(a) = -3*r(a) - 5*x(a). Let y(n) be the second derivative of 5*n**3\/6 - n**2 + n. What is -6*l(b) + 13*y(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in -865, 0.1, 5, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2 + (-3)\/(-6)*0 + 4. Let j be (-20)\/(-15) - (-4)\/u. Suppose 0 = j*z - 2, -4*z = -m - 9*z + 21. Calculate the remainder when 51 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1 + -8612?\nAnswer: -8611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 62 a factor of 1178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9974*d - 372599*d - 39724*d - 56757*d.\nAnswer: -479054*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 9.9011 seconds in microseconds?\nAnswer: 9901100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 + -3. Let q be (-1)\/(-3) - 1\/l. Let v be ((-8)\/12)\/(4\/(-30)). Which is the closest to q? (a) 0.4 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2298 + -3.\nAnswer: -2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 616 and 87360?\nAnswer: 960960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(40) - sqrt(60)\/(-2*sqrt(6)))\/(-2*sqrt(720) - (sqrt(720)*2 + sqrt(720))).\nAnswer: 7*sqrt(2)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in thirty-seven fifths of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -587 + 12795. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 272\/72 - 6\/(-27). List the prime factors of 0 - (-19 - (c - 1)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, -1.6, -13611?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -g**2 - 2. Let j be p(0). Let a(m) = -m**3 - m**2 + m + 1. Let y be a(j). Let k(c) = -3 - y + 9*c**2 - 8*c**2. Give k(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 28766 - 8628. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10932 or 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that 2*w**2 + 78*w - 540 = 0.\nAnswer: -45, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = -2*f - 32. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 53 divide 5618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -7c2 (base 15) to base 2.\nAnswer: -11011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -675\/8? (a) -56 (b) -0.01 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 106 - 88. Let t = 18 - c. Solve -5*u + t*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the third derivative of 6*a**2 + 0*a - 1\/60*a**5 + 0 - 5\/8*a**4 - 11\/6*a**3. Is h(-13) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -10.175 - -10.215. What is the nearest to 2 in -30\/23, g, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9252?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -158*q - 421*q - 1 + 1 - 764*q to n + u*q and give u.\nAnswer: -1343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -24960 divided by -4\nAnswer: 6240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 16 - 14. Suppose 1 + d = w. Suppose -w*g + 22 = 1. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/i**(-1\/3))\/i)**31\/(i**(-10)*i\/i**(-26)) assuming i is positive.\nAnswer: i**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 87\/454 and 101\/553426?\nAnswer: 553426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 682 divide 54903790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -29c (base 16) in base 12?\nAnswer: -478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4 + 8. Suppose -v*j - 26795 = s, 3*s = -j - 0*s - 6685. Round j to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tqqqtqtbbndtqbs. Give prob of sequence qq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -2 - 5*n**3 - 4*n - n**2 - 3 + 3*n**2. Let t(y) = 164*y + 2*y**3 - 161*y - y**2 + 4 + 2*y**3. Give -3*d(w) - 4*t(w).\nAnswer: -w**3 - 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (sqrt(147) - (sqrt(147) + -2)) - (-3 + sqrt(147) + 1))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 105579193 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 36 minutes after 6:10 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*g = 56 + 32. Let v = -2\/315 + 212\/315. Which is the closest to -1? (a) g (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*n + 91 - 83. Suppose 0 = -n*u - 2*o - o + 104, 0 = -2*o - 8. What is the least common multiple of u and 4?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 166681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 6 = 2*a + 2, 3*j = 4*a - 8. Let g(c) be the third derivative of 2\/33*c**3 - 5\/132*c**4 - 1\/660*c**6 + 0 + 3*c**a + 0*c + 2\/165*c**5. Factor g(m).\nAnswer: -2*(m - 2)*(m - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes before 6:25 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 28332607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 76 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r**3 - 16*r**2 - 30*r + 24. Determine o(-14).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 3*o**3 - 3*o**2 - 7*o + 7. Let a be q(2). Factor 2\/13*x**a + 0*x**2 + 0*x - 4\/13*x**4 + 0 + 2\/13*x**3.\nAnswer: 2*x**3*(x - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u**3 + 2*u**2 - 1. Let r be y(1). Suppose -2*s - 3*k + 119 = 2*s, -70 = -2*s + r*k. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (4\/12)\/((-20)\/12)*-6. Suppose 3*v = -2 - 1, n - 5 = v. Let o be 0 + (n - (-48)\/(-15)). Which is the smallest value? (a) o (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -20*n**2 + 57985*n + 275880.\nAnswer: -5*(n - 2904)*(4*n + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b**2 - b. Let q be a(4). Suppose 0 = 5*s + 164*m - 160*m - 28, -2*s - 4*m + 16 = 0. What is the highest common divisor of q and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -9567, -9555, -9541, -9525?\n\"Answer: u**2 + 9*u - 9577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k - 1 - 20 = 3*w - 6, -4*w - 4*k + 40 = 87 - 31 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17954295 divided by 6613.\nAnswer: -2715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:10 PM and 6:01 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1352*s + 565*s**2 + 595*s**3 + 440*s**3 + 1349*s wrt s.\nAnswer: 6210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand j**4 - 6 + 6 + (-4*j**2 - 3*j**2 + 4*j**2)*(4*j + 2*j**2 - 4*j).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3071379812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-2\/21)\/(f\/(f*(f*f**1*f)\/f*f*f))*(f\/f**(-2\/7))**(-41) assuming f is positive.\nAnswer: f**(-1025\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2610 + 7410. What is o rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 41 - 41.034. Let i = -2.145 + 2.159. Let d = v - i. Round d to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 39749, 39745, 39749, 39761, 39781?\n\"Answer: 4*y**2 - 16*y + 39761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -706 + 705. Sort -3, i, 14 in increasing order.\nAnswer: -3, i, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x - 11*m + 12*m - 11, 0 = 3*x - 2*m + 1. Solve -4*i - 5 + 0 = x*o, i - 10 = -3*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*g**3 - 9675662*g - 231*g**4 + 9675662*g + (0 + 0 - 2*g)*(7 - g**3 - 7) as c*g**2 + y*g**4 + v*g + t*g**3 + r and give y.\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {c: 1, f: 4, j: 3, p: 2, e: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 544 and 235773?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 4*f**2 + 16*f + 5. Let s be v(-8). Suppose 53 = 6*h - s. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.09 take away -17532515?\nAnswer: 17532514.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/18*-4*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -222347.1398 + 50.1398. Let c = a + 222245.9914. Let b = c - -51. What is b rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -188, 169, 2, 10, -11 in decreasing order.\nAnswer: 169, 10, 2, -11, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 77138 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 105 - 39 - 30 + 10*y - 35.\nAnswer: 10*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -a - 5*v, 12*a + 5*v - 15 = 10*a. Factor -72*r**2 - 36*r**3 - 8*r**4 - 54*r + 0 - 2\/3*r**a.\nAnswer: -2*r*(r + 3)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(147) + -2 + 2 + 0 + -4*(1 + sqrt(147)) + -2*-3*sqrt(147))**2.\nAnswer: -56*sqrt(3) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - t + 43 = -3*t, -5*z = 4*t - 35. Suppose 5*r + 0*r = 0. Suppose 0 = w + 4*b - z, -b + 2 = -r*b. Solve 3*x + 0 = -w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -100011101010001101011101 (base 2) to base 10.\nAnswer: -9347933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 6 + 4*r**2 + 0 + 10*r**3 - 5*r**2. Let a(w) = -19*w**3 + 2*w**2 - 11. Calculate -6*a(d) - 11*h(d).\nAnswer: 4*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 202?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 53238429 or 266192139\/5?\nAnswer: 266192139\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5.85 - -0.15. Sort y, 1, 4 in ascending order.\nAnswer: 1, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 79 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 8620841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u**2 + 0*u**2 + 0*u**2 + 2*u**3)*(-4*u - 7*u - 4*u).\nAnswer: -30*u**4 + 30*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -14425 (base 6) in base 7?\nAnswer: -6524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-76)\/(-16) + 2\/8. Let o = -53131\/5 - -10626. Sort u, -1, o, 19.\nAnswer: -1, o, u, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 39 - 25. Suppose -2*z = 30 + f. Let k be ((-2)\/(-4))\/(5\/z). Which is bigger: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2431 - -223?\nAnswer: -2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 16 and 31472.\nAnswer: 31472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5.8 - 0.8. Is 7 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrraaarrrarar. Give prob of sequence arrr.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8 - 8. Let z = -0.3 - v. Let c = 0.24 + 0.06. Which is bigger: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.65 take away 10841?\nAnswer: -10841.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q = -20 - 1. Suppose 23 = -5*i + 63. Let p be 15\/6*i\/5. Solve p*c = c - q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 588 - 294287889\nAnswer: -294287301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 3*i - 3*i - i - 2 + 6. Let m(x) = 1. Let v be (0 - -2) + -2 + 4. What is v*m(y) - t(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 144417 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 32448, 32562, 32676, 32790, 32904?\n\"Answer: 114*k + 32334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6403892 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -7d - -3?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 108 = -4*x. Let c be (-174)\/10 - 4\/(-10). Let f = x + c. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 15 + -5. Suppose 0 = 4*b - 5*j - 32, 0 = 5*b - 4*j - t - 21. Let a be 262\/b + (-10)\/(-15). Calculate the greatest common divisor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.2 and 1400386.45.\nAnswer: -280077.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7960*g**3 + 8*g + 15*g + 49*g + 7961*g**3.\nAnswer: g**3 + 72*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3726 + -3730. What is the second biggest value in -0.2, q, -22\/7, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, -0.24, 91 in ascending order.\nAnswer: -0.24, 0.5, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -2*w**2 - 3557*w + 82585. Calculate a(23).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1 plus -0.654?\nAnswer: 0.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 376, 2191, 5450, 10153, 16300, 23891?\n\"Answer: 722*f**2 - 351*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -136 + 106 = -3*k. Solve -k*q = 8 - 58 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -27\/8 and -31\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4589 + 14503. What is the thousands digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 200, 788, 1772, 3152, 4928, 7100, 9668?\nAnswer: 12632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 11*k + 3. Suppose 0 = -244*s + 300*s - 392. What is q(s)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxddkdhqkmxdxhd. Give prob of picking 1 q and 1 h.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 434, 15 in ascending order.\nAnswer: -3, 15, 434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f**3 + 54*f**2 - 149*f - 211. Calculate o(51).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d + 4 + 11 = 0, -5*d = -3*g + 36. What is the highest common factor of g and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*a + 79 = -737. What is the first derivative of 36*o + a + 5*o + 4 wrt o?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 18 = -5*z. Suppose 3*q - 32 = -z*x, -65*q - 16 = -66*q + 2*x. What is the least common multiple of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2523 is divided by 419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 76267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -7, 6, -3 in descending order.\nAnswer: 6, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -12*v**2 + 30*v + 66. What is z(-2)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 81753.43 minutes to milliseconds.\nAnswer: 4905205800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.122 + -5.122. Sort 5, 2\/5, v in descending order.\nAnswer: 5, 2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 13344 = -4*p, p - 2*h + 202 = 3533. Suppose 7*u - 378 = p. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:41 PM and 8:18 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes after 7:52 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*a + 14*a - 5*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -21 - -48 - (-9 - (-20 + -74))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 340, 677, 1014, 1351?\n\"Answer: 337*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4464121684.\nAnswer: 2, 11, 1039, 97649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 56df (base 16) to base 4\nAnswer: 11123133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -21*s**3 - 18*s**3 - 6*s**2 + 66*s**3 + s - 8 - 26*s**3. Let o be q(6). Sort -1, o, 5 in decreasing order.\nAnswer: 5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 509 = 13*y - 297. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 6 - 2 = -5*l, 0 = -3*l + g + 2. Suppose l = -11*t + 6*t + 120. Is (-132)\/t*(-1 - 1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p**3 + 6*p**2 - 11. Let m be u(5). Let c = m + -12. Suppose 4*d = 3 + 17, -c*y + 17 = -d. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**3*x**(-2\/3))**(-13) assuming x is positive.\nAnswer: x**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.5 and 352.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 4*m**3 - 4*m**2 + m - 4. Is j(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 15420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = 8 - 4. Suppose -r*y = -44 - 4. Solve 0*g = -4*g - y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 2*u**3 - 46*u**2 + 3*u - 39. Let l be z(23). Suppose l*p = 4*p + 6474. What are the prime factors of p?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -394050000 rounded to the nearest 1000000?\nAnswer: -394000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*i - 384 = -0*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cxxcccxccxxc. What is prob of picking 2 x?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -6, -1, -0.3, 15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6184 and 5411?\nAnswer: 43288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*y**5\/2 - 33*y**4\/8 + y**3\/4 + 3*y**2\/8 = 0.\nAnswer: -1\/4, 0, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-8)*w\/w**8)**(-36) assuming w is positive.\nAnswer: w**540","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*q + 20*q - 5*o - 6 = 0, 5*o = 5*q. Let j(m) be the second derivative of 1\/20*m**5 + 1\/2*m**3 + 1\/3*m**4 - m - 1\/2*m**2 + 0. What is j(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) be the third derivative of -j**7\/5040 - j**6\/360 + 8*j**5\/15 + 51*j**2. Let x(r) be the third derivative of n(r). Give x(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7069 = 78*n + 748*n + 51881 - 1034 for n.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12\/(-18))\/((-10)\/3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00004179 to 6 dps.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1893 + 6772. Does 26 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the third derivative of h**5\/15 - h**4\/8 + h**3\/3 - 2*h**2. Let z(j) = -6*j**2 + 4*j - 3. Determine 7*w(r) + 5*z(r).\nAnswer: -2*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -10343421102 (base 5) in base 12?\nAnswer: -3955709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -16 + (-3 - -15) + 12 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1302.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -2.49+110149571\nAnswer: 110149568.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 - 2 - 1)*(4083*m - 12975*m - 4432*m + 2396*m) in the form q*m + o and give q.\nAnswer: 65568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -315, -470, -681, -948, -1271, -1650?\n\"Answer: -28*s**2 - 71*s - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -0.026 * 0.3\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -94*g - 94*g - 4*g - 321*g + 23*g.\nAnswer: -490*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (f - 4*f + 6*f)*(1 - 2 + 0) - 1 - 5*f - 14 - 8 as z + i*f and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 11369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 92 + -130 + 51 + -14*(1 + 2)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*g + 45 + 99 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-1)\/(-3))\/(2\/(-18)). Let z(x) be the first derivative of -5 + 3 - x + 1. Let j(r) = -2*r + 3. What is p*z(o) - j(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k**2 + k + 1. Let f be h(0). Let c be -3*2\/(-6)*f. Let x(t) = 4*t**3 - 3*t**3 + 0*t**3 + 2*t - 1 - 10*t**2 + 9*t**2. Calculate x(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2\/4)\/(2\/72). Suppose -5*f = 2*v - 28, d - 10 = 3*f - v. Suppose -2*i**2 + 0*i**3 + 3\/2*i**f + 0 - 1\/2*i**5 + 0*i = 0. Calculate i.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 135895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 211*t = 227*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 158560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14 + 17 + (2 - 3 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be 7\/(-3) + 8\/(-12). Let s be m\/6*-1*-12. Let j(r) = -2*r**2 - 3. Let n(f) = 17*f**2 - 88 + 66 - 30*f**2 - f**2. What is s*n(z) + 44*j(z)?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -3*w. Let s(r) = 16*r - 10. Calculate x(s(g)).\nAnswer: -48*g + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + -1 + (-1 - 0) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 179006 and 703.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 4*z. Let i(c) = -1. Let l be 18\/(-12)*4\/6. Let y(a) = l*j(a) + 3*i(a). Let v be y(-2). What is the greatest common divisor of 35 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-2)\/5 + (-25)\/(5125\/(-3350192))?\nAnswer: 2, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 140293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 989*x**2 + 20*x - 110. Is p(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4*-2*(-27)\/18. Let j be m\/(-28) + 265\/(-35). Does 28 divide (-446)\/j + (-13)\/(-52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-96 - -5) + 60 - 19.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 0.59, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -6*((-35)\/(-7))\/345?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2286 is divided by 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2, -2, 1123\/818?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1421029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:04 PM and 3:28 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (-25)\/175 + (-96)\/63?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 576941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00003376858 to seven decimal places.\nAnswer: -0.0000338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1\/64 - 67\/192. Let t be (-4)\/3*(-2)\/(-8). Which is the closest to t? (a) p (b) -3\/5 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - c - 127 = 0, -2*c = 5*y + 2*c - 189. List the prime factors of y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 26*q - 13 - 10*q**2 - 73*q**3 + 71*q**3 - 1.\nAnswer: -2*(q - 1)**2*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -5c8845 (base 14) to base 7.\nAnswer: -35655515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1074 divided by 6.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -h**2 + 13*h + 8. Let r be f(14). Let y be ((-2194)\/r*3)\/1. Suppose 5*s = 5*d + y - 327, 0 = 5*s - 3*d - 778. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1a4bd (base 15) in base 7?\nAnswer: -504064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-6 - 17) + (2 - -13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be 57\/19 + 2 + -1. Let q = -257 + 416. What is the units digit of n\/(-6) - q\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 5*a + 3224 = -3*a, -5*l + 4041 = -3*a. List the prime factors of l.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-1)\/((153\/(-20214))\/17)?\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 9 = -d. Suppose 4*s = f + 16, -20 = -4*f - 2*s - 3*s. Solve d*q + 2*q = f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (8\/208*13)\/(3\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 - 1 + 0)*(k + k - 4*k) - 38*k + 3*k + 11*k)*(-3*k**3 - 2*k**3 + 6*k**3).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be -5 - (1 - (13 + 2)). Solve -r = q + 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v - 2*j - 12 = 0, 3 = -5*j - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Total of 4 and 8182697.\nAnswer: 8182701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x = -9*x + 36. Suppose 5*a - x = m, 4*m = -0*m + 4*a - 32. Let j be 1 - 5 - -2 - 3. Which is bigger: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 + (1 + 2 - (1 - 3 - -9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 20653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 18733205 at least as big as 74932821\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -80971 times -0.4\nAnswer: 32388.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1.12 (b) -3\/5 (c) -5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(3\/2))**27\/((y**17\/y)\/y*y*y**(8\/3)*y*y*y))**(-7\/5) assuming y is positive.\nAnswer: y**(-791\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -8*p. Let z be f(-1). Suppose 14 = k - z. Suppose 3*a - 17 = k. What is the tens digit of a?\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 uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6281*x - 37624*x - 1847*x.\nAnswer: -33190*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 17*c + 3*c - 17*c + 1. Let d(q) = -8*q - 2. Determine 6*d(g) + 17*k(g).\nAnswer: 3*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = -40 + 112. Let x = -72.3 + u. What is the third biggest value in x, -2\/7, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the second derivative of 0*l**3 - 20*l - 21\/2*l**2 + 0 - 5\/8*l**4. Let y(a) be the first derivative of s(a). Let i(p) = 3*p**2. What is i(y(o))?\nAnswer: 675*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 14 (base 5) in base 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 37196?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) 564 (c) -5 (d) 3 (e) 1 (f) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = -2*q - 0*p - 33, 2*q - 2*p = 2. Let d = 0 + 1. Let j = d - 0. Put q, j, -2\/5 in ascending order.\nAnswer: q, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*v + v + 0*v)*(-4*v + 8*v - v)*(-2 + 0 + 3)*(v + 0*v - 3*v).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6210 and 12.\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -0.03861 - 2\nAnswer: -2.03861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = -3*l + 51 - 294, 4*z + 292 = 4*l. Let q be 6\/z*(-662)\/(-40). Let t = -34\/35 - q. Find the common denominator of t and 7\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2546040?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -4*q**3 - 8*q**2 - 22*q + 6. Let d(u) = 3*u**3 + 8*u**2 + 14*u - 6. Let k(a) = -2*b(a) - 3*d(a). Determine k(-9).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wxkww. What is prob of picking 2 w, 1 x, and 1 k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -568*z + 6. Let t = -488 + 483. Is h(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:46 AM and 10:40 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -29*i**2 - 88*i - 3. Let r be z(-3). What is the closest to r in -4, -0.15, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -821883 greater than -821887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**2 - 4*l + 27. Let u be x(4). Sort u, 2, -8 in descending order.\nAnswer: 2, u, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 8, x: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + (8 - (-3 + 2 + 8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 32788274 and 33626?\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 85178585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -13011 + 134241?\nAnswer: 121230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -2 - 4. Let k be (j\/11)\/((-1)\/(-3)). Which is the biggest value? (a) 0.2 (b) 5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1515 and 210.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 15089195 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 4143 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = -3*y - 6, 5 = -4*z - y + 3. Suppose 8*a - 131242 - 15158 = z. Round a to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 201 is divided by 180.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -13822 at least -13822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the third derivative of b**4\/24 - b**3\/3 + 37*b**2. Determine k(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 67\/(65 - 266) + (-71)\/(-15)?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + (-6 - (-9 - -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (26*u**2 - 2*u + 11*u**2 + 2*u)*(u**3 - 2*u**3 + 3*u**3).\nAnswer: 74*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*j - 8*j - 134*j - 104*j + 10*j - 111*j.\nAnswer: -358*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3b + 2000?\nAnswer: 1da3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -74 + 84. Suppose -10*a - 27*a + 370 = 0. What is the smallest common multiple of p and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 32 + -34. Does g = 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 69148*h**2 - 69148*h**2 + 67*h**3.\nAnswer: 67*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggcggggggggggcccgg. Give prob of picking 2 g.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -22 - 25 - 63*v - 53*v + 123*v in the form m*v + y and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - 0) + (10 - 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:18 AM and 6:28 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-81)\/10*(-150)\/180)\/((-9)\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -39 divided by 1166\nAnswer: -39\/1166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2444878995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(-2\/135)\/(m**(1\/79)\/m) assuming m is positive.\nAnswer: m**(10372\/10665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-13)\/((-52)\/(-40)))\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x - 6 = 2*g, 2*g - 49 + 15 = 5*x. What is the derivative of 16*f - g - 8 + 9 + 20 wrt f?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49849835213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-16)\/18)\/8)\/(1*5\/30)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1888\/5*n + 14\/5*n**3 - 512\/5 - 68*n**2 = 0. Calculate n.\nAnswer: 2\/7, 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 * 500.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 201 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 2576 = 10. List the prime factors of j.\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(40)*3)\/((sqrt(5) - (sqrt(15)\/sqrt(3) - sqrt(5)))*-5).\nAnswer: -5 - 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 186 minutes after 2:00 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6246774?\nAnswer: 2, 3, 29, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 538 minutes before 1:49 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uumumuu. What is prob of sequence muu?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-2\/25))**22 assuming r is positive.\nAnswer: r**(-44\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.10037433 - 76361.\nAnswer: -76361.10037433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 843 or 1067?\nAnswer: 843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 8) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be (2\/3)\/(2*(-1)\/(-3)). Let n = 6.04 - 5.55. What is the closest to 0.1 in n, -0.4, o, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 332419193 to the nearest integer?\nAnswer: 18232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14 - (8 - 0 - 14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/18 and -137\/198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6 - 116*t + 32*t - 6 to i*t + a and give i.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add together -555258 and 2042887.\nAnswer: 1487629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 3*k**2 - 5*k + 1. Let l(t) = 2*t**2 + t - 23. Let p(i) = -18*i**2 - 6*i + 195. Let n(u) = 17*l(u) + 2*p(u). Give 6*n(h) + 5*x(h).\nAnswer: 3*h**2 + 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -262, -291, -326, -367, -414?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:59 AM and 1:28 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w**3 + w**2 + 20. Let k be c(0). Solve 0*h + k = 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u**3 + u**2 + u. Let t be s(0). Suppose -l - 3 + 10 = t. Solve 3*i = l*i - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - -4 - 1 - 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*o - 3*y - 36, 435*o + 9 = 434*o - 3*y for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3385.5 - 3385. Which is the smallest value? (a) w (b) 1\/3 (c) 6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-21)\/3 + 7 - -2. Solve -4*u = c - 5*u, 3*c - m*u = 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -178 divided by -11810?\nAnswer: 89\/5905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) 2\/25 (b) -5 (c) -1\/9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-5\/3)*t)\/t**(1\/3))**(-23) assuming t is positive.\nAnswer: t**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ojt when three letters picked without replacement from tzazazjovzazvjtztz.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-143)\/(-13) + -9)\/(2\/(-47)). Is -51 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -3316, -3315, -3314, -3313, -3312, -3311?\n\"Answer: g - 3317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1073.3 less than 0.695?\nAnswer: 1073.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2925 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -397.33052206 plus 1762?\nAnswer: 1364.66947794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l**3 + 33*l**2 + 32*l + 73. Let v be r(34). Suppose -3*t + v*z + 37 = 0, 3*t + z = -0*z + 25. Calculate the remainder when 223 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -168 = -14*u + 2*u. What is the remainder when 78 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:59 AM and 12:10 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10 and 11313530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(192)\/sqrt(4) - (5 + sqrt(768))**2) + (-6*sqrt(96)\/sqrt(2) - (2*sqrt(336) + sqrt(336))\/sqrt(7)).\nAnswer: -793 - 176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -14012*x**3 - 5*x**2 - 779*x + 705923273.\nAnswer: -42036*x**2 - 10*x - 779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -j**3 + 114*j**2 - 71*j - 4122. What is f(113)?\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -4*v + 36048, -7777 - 1230 = -v - t. Suppose o + v = -4*s, 4*s - 3*o = o - 9016. Is (-6)\/8 + s\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 36936 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**11*(m*m**(-5\/4))\/m)\/((m*m**10*m)\/((m\/m**(-13))\/m)))**(-1\/19) assuming m is positive.\nAnswer: m**(-43\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1\/3))**3*(k**(-9)\/k)**(-1\/8) assuming k is positive.\nAnswer: k**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -145 or -16\/3?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -11 (b) 1 (c) 10 (d) -1\/6 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the second derivative of f**4\/6 + 3*f**3\/2 + 14*f**2 + f. Let h = -940 + 936. Calculate the lowest common multiple of 2 and r(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-193)\/579*(-2 - 222\/(-108))?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -79 + 73. Let o be (5 + g)*((-3)\/3 + 11). List the prime factors of (-2114)\/o + 39\/65.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u - 1846 + 1850 = -f, 4*f = -4*u - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand 11*j**2 + 2*j**2 - 4*j**2 - 3*j**2 + 2*j**2 - 4*j**2 + (3*j - 5*j + 0*j)*(5*j - 2*j + 2*j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.8? (a) 1 (b) -3\/2 (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 174 + -188.6. Let w = h + 130.6. Let x = -114 + w. Which is the third biggest value? (a) 5\/12 (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5407\/5 - -5439\/5. What is z in -s + 148\/5*z - 18\/5*z**2 = 0?\nAnswer: 2\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 6297.8 to the nearest ten.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m = 2*m - 6, a - 4*m = 42. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4044592668.\nAnswer: 2, 3, 1789, 188401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f + 8. Let j be l(-4). Is 4 equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1029 + 57 = -6*r. Let k(q) = 5*q - 2. Let g be k(4). What is the greatest common factor of r and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35381 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: Calculate -0.5*-221.848205.\nAnswer: 110.9241025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find j such that -3*j**4 - 4020*j**3 - 25761*j**2 + 2975256*j = 0.\nAnswer: -1333, -31, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -10\/7 in -0.4, 0.8, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -c**3 + c**2 - 115*c - 58. Is k(-27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6*(-1)\/(-4)*(-88)\/726?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3)\/((63\/6)\/(-7)). Solve 0 = -3*q - s + k, 3 - 19 = 4*s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1042*k**3 - 897*k**3 + 2047*k**3 + 4 - 855*k**3 + 7*k wrt k.\nAnswer: -4482*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -225726*j**2 - 58*j + 864 wrt j?\nAnswer: -451452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1474921 - -2824921. Suppose -39*p = -42*p + r. Round p to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 27 = 5*t, 5*v - 36 = 3*t + 25. Suppose -40 = -v*d + 30. Solve 4*p + d = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 113.073 * -1034\nAnswer: -116917.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 357*i**2. Let w(l) = 21*l + 1. Determine w(k(s)).\nAnswer: 7497*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 19300.45 years to centuries.\nAnswer: 193.0045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes before 5:07 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 14964 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*d = -18*d - 72 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -57104520 rounded to the nearest 10000?\nAnswer: -57100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s**2\/s)**(7\/4)*(s\/s**9)**(-2\/27) assuming s is positive.\nAnswer: s**(221\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -t**3 - 4*t**2 - 5*t - 4. Let r be s(-3). Let g be 2 + (1 - r) + (-6)\/4. What is the second smallest value in -5, 1\/6, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l**3 - l - 2. Let q be n(2). Suppose 175 = q*v + v. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 152145*c**4 + 2*c**2 - 174*c + 309.\nAnswer: 3651480*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -7.127 + 7.157. Let o = 1297\/65 + -99\/5. Which is the biggest value? (a) 2\/11 (b) d (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + ((((sqrt(440) - sqrt(440)*-2) + sqrt(440))*5)\/sqrt(8))\/(sqrt(77)\/(sqrt(7)*-1*-4)).\nAnswer: 4 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q - 5*k - 15, 2*q - 5 = q + 2*k. Suppose 0*d = -q*d + 30. Let h = d - 3. Solve h = -5*u - 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 5*t - 7. Let l(k) = 6*k - 6. Let x(b) = 6*l(b) - 7*y(b). Give x(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(228)*-2*5)\/(((sqrt(12) - (-2*sqrt(12) - sqrt(12)) - sqrt(12))*-4 + sqrt(12))*-2).\nAnswer: -25*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 4, -45, 3 in descending order.\nAnswer: 5, 4, 3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (100\/45)\/((-39)\/(-7020)*20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the first derivative of 7*m**2\/2 + 2*m - 14. Determine t(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 313 + -312.8. Suppose 0 = q + 8 - 2. What is the second smallest value in a, q, 5\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -41, -121, -231, -353, -469, -561, -611?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be 19 + 6\/(-2) + 0. Solve 0 = -3*i + 7*i + w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 6*n - 83. Let p be v(16). Let g(k) = -10 - 4*k**2 + 3*k + 0*k**3 - p - k**3 + 14. Give g(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (35\/(-2))\/((-1)\/14). Suppose 4*b + 78 = -3*i + 270, x = 5*b + 5*i. Solve -13 = 3*n - 5*s, -n - 5*s + b = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -99 + 148. Suppose -z + c = -0*z. What is the remainder when z is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46 = -4*n + 50. Solve -4*k + n = 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 1 b, and 1 u when three letters picked without replacement from {u: 4, f: 4, z: 5, b: 1, g: 5}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.3951 - 0.2951. Let s = 1 + 0. Which is the nearest to 1? (a) g (b) s (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 964221.2ml in litres?\nAnswer: 964.2212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -1753204 divided by -1753204\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 + 0.8. Let n = i - -0.1. Let g = n + 0.10035. Round g to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 177418 and 43?\nAnswer: 177418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -2*q + y + 3*y, 0 = -2*q - y + 19. Calculate the greatest common factor of 4 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 2784, -2214 in ascending order.\nAnswer: -2214, -8, 2784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that -272\/5*k**2 - 2\/5*k**5 + 2\/5*k**4 + 64\/5*k**3 - 224\/5 + 416\/5*k = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 971.24 + -607.21. Let b = -366 + p. What is b rounded to one dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -194*a**3 + 2*a**2 - 3*a**2 + 719*a - 718*a. List the prime factors of g(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve j + 295*u + 12 = 292*u, -3*j = -u - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 3817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/13 + (-78960)\/(-19552)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*f**3 + 132*f**2 - 900*f + 1404.\nAnswer: 4*(f - 3)**2*(f + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 26*c**2 - 3*c - 11*c - 10*c + 25*c. Let k(j) = 7*j**2. What is k(f(x))?\nAnswer: 4732*x**4 + 364*x**3 + 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (35376\/(-2412))\/((-4)\/(-2)).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1202214 + 120?\nAnswer: 1202334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(5)*-1*-1)**2 + sqrt(50)\/(-1*sqrt(10)*-3).\nAnswer: sqrt(5)\/3 + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3\/22, -14, -6\/11?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the first derivative of -r**4\/4 - r**3\/3 - r**2\/2 - 10*r + 7. What is z(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -5*s**5 - 125*s**4 - 95*s**3 + 585*s**2 - 360*s = 0. What is s?\nAnswer: -24, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n be (62\/(-2))\/(0 - (3 + -4)). Let d = 54 - n. What is the highest common divisor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 3, m: 4, d: 2}. What is prob of picking 1 m and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 10 + (10 - 34) + 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 3*v = 16, -5*x + 135*v = 137*v + 21. Which is the second biggest value? (a) x (b) 20 (c) -0.11 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -h**2 - 10*h + 62. Let u be g(-14). Solve -7*m + u = -10*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -916, -1, 2, 4, -2\/11.\nAnswer: -916, -1, -2\/11, -0.1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 6*h + 1. Let l(n) = n + 1. What is 5*l(u) - z(u)?\nAnswer: -u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine n, given that 10*n**3\/9 - 14*n**2\/9 - 296*n\/9 + 40\/3 = 0.\nAnswer: -5, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 725188*r + 60610 = 726290*r for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from birpfbv. What is prob of picking 1 r and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) be the first derivative of -2*b**3\/3 + 267. Let p(i) = 2*i - 7. Let y be p(5). Let g(q) = 1 - 1 - y*q + q. What is o(g(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3489701.\nAnswer: 31, 112571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -257*r + 1. Let b be k(1). Round b to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*c - 359 + 194 = 0. What is the highest common divisor of 75 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 38880 divided by -4?\nAnswer: -9720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) be the first derivative of -y**7\/7 + 715*y**6\/3 - 2688*y**3 + 8134. What is the third derivative of r(d) wrt d?\nAnswer: -120*d**3 + 85800*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3954 = -2757*u + 2062*u - 2301 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9 is divided by (-1)\/1*(-5 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = o. Suppose 3*h = -s + 318, 2*s - s = 4*h - 424. Suppose -6*q = -h - 8. Let l(j) = 16*j - 12*j - q*j - 12*j. What is l(c(m))?\nAnswer: -27*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in -2\/5, 72599, -0.2, 1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1579 is divided by 397.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 173 + 537*v + 515*v - 1061*v + 291 in the form j*v + q and give q.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 672 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 113\/636 and -97\/36.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 690697.3 weeks in nanoseconds?\nAnswer: 417733727040000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -60*u**2 + 122*u**3 - 10*u**3 + 53*u**3 - 15*u**3.\nAnswer: 150*u**3 - 60*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 563614 to the power of 1\/2, to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1.0005 + -1. Round t to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -12 - 0. Let m = r + 18. Let u = 4 + -6. What is the nearest to 0.1 in u, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7.7 + 7.7525. What is the nearest to -1 in 1\/5, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in v - 164*v - 38*v - 36*v - 14*v.\nAnswer: -251*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g**3 - 15*g**2 + 3*g - 9. Let h be j(15). Let p be ((-18)\/(-27))\/(2\/h). Suppose -42 = -2*t - p. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 3652, 2277, -8, -3197, -7284, -12263?\n\"Answer: u**3 - 461*u**2 + u + 4111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -17.83 + 0.88. What is j rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -n - 7*q + 49 = -3*n, 0 = -5*n + 145*q - 141*q - 28 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3727783348?\nAnswer: 2, 43, 21673159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1135 - -1601. Let j = h - 467. Which is the second smallest value? (a) -4 (b) -2\/5 (c) j (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 4*g - 272 = 0, 5*n - 6*n - 4*g = -146. What is the least common multiple of n and (-56)\/6*(-1 + 8\/(-16))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 511*v**2 + 18*v - 4. Let j(h) = 511*h**2 + 19*h - 6. Let o(m) = 2*j(m) - 3*x(m). What is the second derivative of o(b) wrt b?\nAnswer: -1022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-5)\/(-30)*6*-93. Let i = o - -107. Calculate the highest common divisor of 182 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -33*i**3 + 6*i**2 - 6*i + 6. Let u(z) = z**3 - z**2 + z - 1. What is 6*u(t) + v(t)?\nAnswer: -27*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 3340.2, 16.79, -1\/5 in decreasing order.\nAnswer: 3340.2, 16.79, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (140\/1680)\/((-2)\/20)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2145 - -3162. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**2 - 226*g + 936.\nAnswer: -2*(g - 4)*(g + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -179633794, -359267589, -538901384?\n\"Answer: -179633795*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2055 + 2064. Which is the second biggest value? (a) r (b) -4\/5 (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:59 AM and 6:35 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6 - -5. Let m be 3 + p + -20 + 0. What is the units digit of 24\/m*(-6)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 2\/3, 127, -1\/2, -4, -1\/10, -24\/59, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*b + 38 + 2. Solve 3*a + a = -b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-17*o**3 + 18*o**3 - 11*o**3)*(-2 + 0 + 3)*(-4*o - 2*o + 4*o)*(-21 - 4*o + 21).\nAnswer: -80*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = 909 - 377. List the prime factors of c.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6870?\nAnswer: 2, 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 9 (b) -3\/4 (c) -0.5 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 24 (base 5) in base 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) -2\/7 (b) 5 (c) 2032\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 2 = -3*x + 13, 0 = 2*x + 2*h - 6. Let i(a) = 13*a - 26 + 61 - a - 32 - a**x. Give i(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2153272?\nAnswer: 2, 11, 24469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -0.05 times -125\nAnswer: 6.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ttwwwtwtwtwwttttwtw. Give prob of sequence wwt.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = 3*d + c, -4*d - 1 - 15 = 4*c. Is -8 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1233639 and 284427?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 1635*s = 118*s + 4551 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 15, -2\/15, -442, -0.5, 7, -2\/9?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -3*f - 14. Let n(w) = 3*w + 21. Let t be n(f). Suppose -3*i = -c - 0*c + 19, -69 = -3*c - t*i. Calculate the least common multiple of c and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the third derivative of -m**8\/1008 + 2*m**7\/45 - 221*m**6\/360 + 169*m**5\/90 - 571*m**2. Solve y(x) = 0.\nAnswer: 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = u + 3. Suppose 4*q + f = -f + 8, -5*f = -2*q + 16. What is the remainder when 14\/21*2*q is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1457, 1342, 1035, 440, -539, -1998, -4033?\n\"Answer: -16*k**3 - 3*k + 1476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -2584775746 + -0.06.\nAnswer: -2584775746.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -k**3 + k**2 + 244*k - 19. What is d(-16)?\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c*c**7*c**7)\/(c**0*c*c\/((((c\/(c**(-6)*c))\/c)\/c)\/c)) assuming c is positive.\nAnswer: c**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2681\/768 (b) -4\/7 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lmmw when four letters picked without replacement from {w: 3, m: 4, e: 2, l: 2, t: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (0\/(-2))\/((-7)\/(-7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l\/(l\/l**(1\/11)*l)*l*l*l*l**2*l*(l\/(l*l\/(l\/l**(2\/9))))\/l*l**(-4\/9))\/((l**(2\/11)\/l)**(-46))**(1\/27) assuming l is positive.\nAnswer: l**(100\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -612710 divided by -13.\nAnswer: 612710\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -19*k + 915. Determine y(48).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be 18\/15*10\/4. Let m(g) = t*g - 7*g + g**2 - g**2 - 10 + g**2. Is m(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:37 PM and 3:37 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = 327 + -313. What is the second derivative of 11 - 10*a**3 - o*a**3 + 19 - 2*a**3 - 2*a**2 + 3*a + a**2 wrt a?\nAnswer: -156*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5160079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = o**2 - 6*o - 43. Let h be d(-6). Let l = 27 - h. Let n(i) = -10*i - 3. Calculate n(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 136 + -134. Put -3, m, -0.2, -0.1 in decreasing order.\nAnswer: m, -0.1, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*(-3)\/24*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(114)*-2 - 3*sqrt(114)*2)\/(2*(sqrt(108)\/sqrt(2) - -2*sqrt(6)*-5)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*20\/(-50)*-20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -2522649 (base 11) to base 5\nAnswer: -2110143400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = v**2. Let g(r) = -9*r**2 - 6. Calculate g(a) - 2*t(a).\nAnswer: -11*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 3*h - 54. Let d(q) = -q + 18. Let s(o) = -7*d(o) - 2*f(o). Let x be s(17). What is the tens digit of (x + -1)*123\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -41*o**2. Let r(z) = -z - 132 - 137 + 399 - 130. Calculate g(r(s)).\nAnswer: -41*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3238, -6477, -9716?\nAnswer: -12955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + -7 + (-4 - 5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 473225 is divided by 78869?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -5*g**2 + 34*g - 130. Calculate h(4).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 3*b - 35. Let a be j(13). Find the second derivative of -44*q**3 + q + 0*q - 13*q + a*q wrt q.\nAnswer: -264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d**(2\/7)*d*d*d))\/(d*d**(-2\/3)))**(2\/13) assuming d is positive.\nAnswer: d**(-110\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 3061, 3062, 3063?\n\"Answer: y + 3060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s - 2*s - 2 = 0. Let j be 1 - 2\/1 - s. Let i = j + 3. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -332\/7 or -48?\nAnswer: -332\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or 2\/227463?\nAnswer: 2\/227463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -11701*j**3 + 385*j**2*z - 8375*j*z + 340*j - z wrt j.\nAnswer: -70206*j + 770*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 89879, 89882, 89885, 89888, 89891, 89894?\n\"Answer: 3*b + 89876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 86685 and 0.2941?\nAnswer: 86684.7059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -t + 4*v + 8, 3*t = -5*v + 3 - 30. Let z(o) = -o - 2. Let f be z(t). Suppose 123 = 2*y + 5*a - 270, -f*y - a + 397 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 3, t: 5}. What is prob of picking 3 t and 1 u?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that 9\/2 - 21\/4*k**2 - 57\/4*k = 0.\nAnswer: -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 57.05 + -55. Let u = r - 2.05147. What is u rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -14e - 4e77?\nAnswer: -50c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i, 2 z, and 1 y when four letters picked without replacement from ztyyyitzxtp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/(-16))\/((-3)\/(-8)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -43 - -73. Let g = l - 36. List the prime factors of (-74)\/(-4) + (-9)\/g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-30 + 15)*(-1 + (-11)\/5). Calculate the least common multiple of c*((-195)\/20)\/(-13) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 72\/126 + 76\/14. Suppose 0 = n + 2*y - 11, -n - 3*y = -m*y + 14. Is 1\/21 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9477 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 5108522113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((1*sqrt(187) - sqrt(187))*-1*1)\/(sqrt(110)\/(sqrt(20)\/sqrt(72)))*6*-6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = 318 - 1347. Does 49 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42030336 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, -2\/11, -64\/7, -72, 0.5, -6, -1\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -2013013030 (base 4) to base 15\nAnswer: -ade9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q**3 - 7*q**2 + 5*q + 1. Calculate z(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 34\/5 of a microsecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 4584383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 4, 3*y - 3*u + 2 = -4. Is y bigger than -20\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 44 - 44. Suppose t = -7*r - 3211 - 17152. Let w = -55226\/19 - r. Calculate the common denominator of 6\/5 and w.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s and 1 c when three letters picked without replacement from {c: 4, s: 3, a: 8, k: 2}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 360.11*0.34.\nAnswer: 122.4374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + (-6 - 6 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 12770 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Product of 4965 and 104.\nAnswer: 516360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/4)\/((-84)\/56).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -u - 8. Let g(s) = -6*s - 54. Give -5*f(o) + g(o).\nAnswer: -o - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by -19\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1755942 is divided by 155.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**3 - 11*v**2 + 12*v - 1. Let y be d(-12). Which is the second smallest value? (a) y (b) -4\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 4, 5, -4, -101, -3 in descending order.\nAnswer: 5, 4, 3, -3, -4, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f**2 + 5*f - 2. Let y be i(0). Let x(w) = 4*w**2 + 5*w + 2. Let t(k) = 0*k**2 - k + 2 - 2 - k**2. Let a(g) = -3*t(g) - x(g). Give a(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 111, 214, 317, 420, 523?\n\"Answer: 103*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -0.4, 16, -2, 191?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vxv when three letters picked without replacement from vxxxvxqvvaq.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 5*o = 0, -5*p - 3*o = 4 + 6. Let s = p + 7. Suppose s*c - 6 = -0*c. Solve 0 = y - 2, 4*t + c*y = -t + 31 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = -3*g + 39, 2*g - 5*s = 17 + 9. Suppose g*a - 20*a = -256109. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1397537 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 68*r + 69*r - 134*r. Let c(n) = -n**2 + n + 1. Let a(z) = -2*z**2 + 4*z + 4. Let m(q) = 3*a(q) - 12*c(q). Calculate t(m(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 62204941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 83344901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67*l = 4*u + 72*l - 21, -4*u = 3*l - 19. Let s be 3*2\/15*10670. Suppose m = 3*g - 3201, 3*m = u*g + m - s. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17439765 divided by -22445?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of n**2*p**2 + 218379*n**2*p*x + n*p*x - n*p - p**2 + 4*p*x - 7935 wrt n?\nAnswer: 2*p**2 + 436758*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -961\/9 + 107. Suppose 1344 = 19*g - 4774. Let l = g + -325. Which is the closest to s? (a) l (b) -0.1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 46\/5? (a) -1\/7 (b) 0.34 (c) 2.9 (d) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 55 minus -931?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -19*k**2 - 91*k + 413. Determine w(4).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/6)\/((1*-4*2)\/(7965 + -7974))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(700)*1 - (sqrt(700) + -2)*-4) + -4.\nAnswer: -12 + 100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 - -5. Suppose 0*f + f - k = 3, f + g*k = 8. What are the prime factors of 58\/f - (-2)\/4?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -71*w - 1554. Let g(v) = 19*v. What is -4*g(t) - u(t)?\nAnswer: -5*t + 1554","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*s + 15*s - 14137 = -2*w, -4*s + 56569 = w. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6847 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 4824 = 4*d, -2411 = -2*b + 7*d - 4*d. Let m = -842 + b. Does 27 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1425392?\nAnswer: 2, 89087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 + 0 + 0 - 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 588*i - 150*i - 150*i - 143*i - 139*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 5*u - 24 = 3*u, 4*a - 4*u - 12 = 0. What is the least common multiple of 7 and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -12\/1405855 and -93\/10.\nAnswer: 2811710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 323, 428, 523, 602, 659, 688?\n\"Answer: -j**3 + j**2 + 109*j + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -8 - 16d79?\nAnswer: -16d83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the first derivative of -v**4\/24 - v**2\/2 - 1. Let h(d) be the second derivative of m(d). Let r(y) = y + 0*y - 2*y. Give h(r(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c + 13 = 38 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 9*c**3 - c**2 - c + 1. Let m be o(1). Let n = m - 9. Sort n, -4, 2 in ascending order.\nAnswer: -4, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10100211002 (base 4) in base 16?\nAnswer: 110942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -1015 * 0.00516\nAnswer: -5.2374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 47*k**2. Let d(c) = -24*c - 27*c - 29*c - 52*c + 158*c. Determine x(d(t)).\nAnswer: 31772*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 83\/1032 and 29\/108?\nAnswer: 9288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = 89 + -88. Solve 0 = -h - j - 1, 5*j - u = -6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 72 - 67. What is the greatest common factor of s and 110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (12 - c - 12)*(-c - 2*c + c)*(14 + 870*c - 14 + 226*c).\nAnswer: 2192*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o**4 + 15146*o**3 + 455964*o**2 + 1642040*o + 1581424 = 0. What is o?\nAnswer: -26, -2, 7603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -44\/15, 2, 3565 in decreasing order.\nAnswer: 3565, 2, -44\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1042, 1015, 1052, 1201, 1510, 2027, 2800?\nAnswer: 3877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 2441 divided by 65924\nAnswer: 2441\/65924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -i - 4*p, 3*p - 4 - 11 = 3*i. Let q be 4\/32*i - 339\/(-12). Let t be q\/7*(-1)\/(-2). Solve -2*z = t*z + 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -28303*n**2 + 682*n + 9 wrt n?\nAnswer: -56606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 40, 41, 5\/6, 3\/4 in descending order.\nAnswer: 41, 40, 5\/6, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 48 = 12. Suppose 0*u - 4*u = p, -r + 14 = -4*u. Which is the closest to 0.1? (a) r (b) -1\/4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 48 - 417 = 0. Let t = -5511 + 60672\/11. Find the common denominator of t and (-6)\/27 + g\/(-72).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 66635208*s**3 + 66635211*s**3 - 133270412*s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 2*l**2 + 3*l + 6. Let o(v) = v**2 + 2*v + 4. Let c be o(-2). Let x be u(c). Let n = x + -21. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:46 AM and 3:17 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2525*l**2 - 1 + 1 - 168*l**2 - 2624*l**2.\nAnswer: -267*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1 + 1\/((-2)\/(-10)). Let l be (-2)\/8 + (-203)\/x. Let g = -16 - l. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1482\/228 - (-87)\/(-12)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -48 (b) -1 (c) 98\/3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -150*m + 25. Let t(l) = 25*l - 4. Give 4*a(g) + 25*t(g).\nAnswer: 25*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 3*d**3 - 54*d**2 - 556*d + 8658. What is z(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c**3 - 2*c + 2. Let r be 3*-19*2\/(-3). What is the remainder when -2 + r\/4*2 is divided by h(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = t + 5*n - 4*n + 4, 11 = t - 4*n. Let h be ((-345)\/57 + (1 - -5))\/1. Is t greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1131*z - 3277984 + 3277984 + 1413*z.\nAnswer: 282*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 217215934 and 3068?\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1050 and 2394.\nAnswer: 59850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 188265, 188668, 189071?\n\"Answer: 403*a + 187862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be (6\/9)\/(2\/(-27)*-3). Solve -j*b - 11 = -f, 3*f + 0*f = 3*b + 15 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14 - 5 - -82) + 18 - 0 - (2 - -6).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-6 - 162\/(-24)) + -1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 6725*y + 4884 wrt y?\nAnswer: 6725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -265 + 265 + 24*c**3.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 2*j. Let n(p) = 24. Let m(a) = 77*a - 266. Let u(y) = m(y) + 11*n(y). What is u(o(s))?\nAnswer: 154*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -t**3 - 6*t**2 - 1. Let g be 1\/((-17)\/(-6) - 3). Determine n(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-47 + 1270*s + 25 + 1801*s + 23)*(-3 + 3 + 4*s).\nAnswer: 12284*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2 - 0 - 116\/4. Let b be 2\/9 + (-1344)\/v. Suppose -j - q - 15 = -3*j, 0 = -4*j - 2*q + b. Solve a = -5*g - 4*a + 20, -5*g = -a + j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 2*y - 1)*(0 - 2 + 0)*(1 - 4 + 4) + 31*y - 55*y + 34*y to b + n*y and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 51319630 to the nearest integer?\nAnswer: 7164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = 63146447\/288 - 219259. What is the common denominator of f and -107\/6?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-3)\/9 + (-10)\/(-3). Suppose s = 2*s + 3*t + 10, -t = z*s - 2. Let v = 14\/13 - 72\/91. Which is the nearest to -1\/4? (a) 3 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3\/(3\/2)*2. Suppose -2*q = f - 2*f, -3*f = k*q - 20. Solve s = f*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-826)\/(-260) - -1 - 20\/4 and -7\/39?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f*f\/(f*f**(1\/30)))\/(f**(-3\/5)*f) assuming f is positive.\nAnswer: f**(47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-15)\/2)\/(-4*(-1)\/8). Let r(n) = 2*n + 35. Let v be r(w). Solve 20 = v*z - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -1795979*z - 2. Let r(c) = 4*c**2 + 4. Determine b(r(n)).\nAnswer: -7183916*n**2 - 7183918","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -c + 3 = 3*i, 3*i + 0*c = c + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11665 is divided by 11651.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 748247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -v - 12. Let c be z(-14). Suppose -c*r + 60 = 3*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 375704*f**4 - 6*f**3 + 6*f**2 + 5*f + 10285 wrt f.\nAnswer: 9016896*f - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the second derivative of n**6\/60 + n**5\/120 + n**4\/24 + 13*n**3\/3 + 14*n. Let a(t) be the second derivative of d(t). What is a(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1794746419 a multiple of 479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 179348844 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -2*s - 25. Let h be f(-14). Solve -3 - h = -x - 5*n, x + 10 = 3*n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.024 in -1.3, -7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -b**2 + 4*b. Let v be a(3). Let r = -12 + 15. Factor 3 + z**r - 3*z - v - 2.\nAnswer: (z - 2)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.44 (b) -22 (c) -2\/15 (d) -13 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 145165032 and 184.\nAnswer: 3338795736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the third derivative of 1\/30*v**5 + 0 + 0*v**4 + 0*v + 10*v**2 + 1\/6*v**3. Does 2 divide m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = 4*k + 182*f - 184*f, 3*k + 2*f = 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 13748, -14, 218?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15138097?\nAnswer: 13, 157, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 5, 0.039, 2\/3, 3\/5, -5?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -126.6 times -339\nAnswer: 42917.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1705878 and 24894.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 28 = 4*f, -2*f + 2*r = -3 - 3. Suppose -m + f = -1. Let x(q) = -q**2 + 8*q + 3. What are the prime factors of x(m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g - 15*g + 1179 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -11880, -11852, -11824, -11796, -11768?\n\"Answer: 28*k - 11908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -13.854596 to two dps.\nAnswer: -13.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -2*k**3 + 4*k**2 - k - 12. What is r(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 16 + -27. Let s = o - -11.5. What is the second biggest value in s, -0.1, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**2 - 19*o + 63. Let w be n(4). Suppose -w*h + 7*h - 1816 = -3*b, 0 = b - 3*h - 601. List the prime factors of b.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 6\/153397291 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes after 9:10 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/100 and 101\/230?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 8 and 776.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in -67, -0.5, -16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 286*u + 2319. Give r(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1561\/26 - -774\/13. Which is the biggest value? (a) f (b) -3\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 146476 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t**5 - 693815*t**4 + 4856350*t**3 + 15263300*t**2 - 19425480*t - 49952160 = 0 for t.\nAnswer: -2, 2, 9, 138756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 584 minutes before 5:43 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 = -5*f - 4*s, -1 - 3 = -4*f + s. Suppose -5*y + z - 150 = -f*z, -2*y - 76 = 2*z. Let h = y - -53. Calculate the remainder when 57 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the third derivative of -2\/3*x**3 + 0 + 1\/30*x**5 + 0*x + x**2 - 1\/8*x**4. Does 5 divide o(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q - 28. What is v(16)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) be the second derivative of 2843*t**5\/20 - 2*t**4\/3 - t**3\/6 + 47*t**2 + 481*t. Find the third derivative of m(z) wrt z.\nAnswer: 17058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(272) - (sqrt(272) - (2*sqrt(272) - sqrt(272))*-1) - sqrt(272)) + 0 - (-3 + -2 + (sqrt(272) - (sqrt(272) + -1)*-6))**2.\nAnswer: -13449 + 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11010100 + -1000110111?\nAnswer: -101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -34 - -65. Let t = p - 15. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d + 21 = 8*d + l, 4*d - 4*l = 60. Suppose -d = -22*i + 21*i. Solve -8*w - i = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 319436558?\nAnswer: 2, 7, 23, 853, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -4, 72, -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 1995, 1\/4, 4.\nAnswer: -4, 1\/4, 4, 1995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the first derivative of 3\/2*p**4 - 2\/5*p**5 - 1\/3*p**6 - 6 + 0*p + 10\/3*p**3 + 2*p**2. Find t, given that j(t) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -48 divided by -2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -s. Let a(q) = -q**2 + q. Let n(m) = -5*a(m) - 5*w(m). Let p(i) = 15*i**2 + 7 - 13*i**2 - 7. Determine n(p(y)).\nAnswer: 20*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (((-5)\/3)\/5)\/(((-12)\/9)\/2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 15 + 4. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c**2 - 613*c - 611*c - 10 + 3 + 1212*c. What is a(12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*s**2 + 2*s**2 - s**2)*(3 - 1 - 1)*(-3152 + 1688 + 1683).\nAnswer: -219*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 2*h - 11. Let m be s(6). Suppose 103*x - 16 = 99*x. What is the remainder when 58 is divided by (x\/3 - m)*90?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*r - 3*r + 3*r)*(2*r - r + 2*r).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1459 or -1549?\nAnswer: -1549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 975.0877 litres to millilitres.\nAnswer: 975087.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 96038 equal to -911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 11, r: 1}. What is prob of picking 3 n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 5, 12, -11 in increasing order.\nAnswer: -11, -2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 16.115 + -15.815. Put -5, 3, 1, -0.023, h in decreasing order.\nAnswer: 3, 1, h, -0.023, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p + 16 = 8*p. Suppose p*u = 1091 - 3. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 9 + 6)*(-9*y**3 - 293*y**3 + 39*y**3) in the form k*y**3 + s + c*y**2 + q*y and give k.\nAnswer: -3945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 4)*(3*f + 0*f - 5*f)*(-2*f - 4 + 4)*(-5 + 3 + 0).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 3*z - 30 - 84 = 0, z = -2*d + 62. Calculate the greatest common divisor of d and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -36*t + 2. Let x be (2 + -1)\/((-4)\/(-8)). Suppose -1 = -d + x*d. What are the prime factors of r(d)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 228.182481 seconds to days.\nAnswer: 0.0026410009375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2109 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -281, -255, 10 in descending order.\nAnswer: 10, -255, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((sqrt(3136) - (sqrt(3136) + (-3*sqrt(3136) - sqrt(3136)))) + sqrt(49))\/(-2*sqrt(567)).\nAnswer: 11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes after 7:11 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 4\/((-8)\/21)*(-15058)\/67761\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -16 + 11. What is the smallest value in 4, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5\/169323 and 29\/4289516.\nAnswer: 12868548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (-5318 - -5325) + -43 + 3 + -1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 12 minutes after 6:47 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 2 and 47742?\nAnswer: 47740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l be 22 + 88\/(-8) + 1 + -10. Solve 33 = -2*p + 5*f, -l*p = -p + 3*f - 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = s**3 + 6*s**2 - 6. Let m = -10 - -10. Let a be -18*(m - (-3)\/(-9)). Let r(b) = -b**3 - 5*b**2 + 5. What is a*r(x) + 5*n(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 2, y: 2, m: 1, z: 3, c: 1, t: 3}. Give prob of sequence ty.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -68\/45 and -89\/399945.\nAnswer: 1199835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -2*k - 1863. Let s(t) = 4*t**2. Give q(s(o)).\nAnswer: -8*o**2 - 1863","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -q**3 - 6*q**2 + 9*q + 17. What is b(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ncn when three letters picked without replacement from {m: 1, o: 1, n: 2, c: 1, j: 1, f: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 673227 is divided by 188?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 340272.537 and -0.95?\nAnswer: 340273.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -1908.44 to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -612 + 587. Is 2 a factor of (-4380)\/(-25) + 5\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3725379 is divided by 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + (1 - (-10 - -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 223*t**2 + 5*t. Let l(w) = 3*w - 26. What is r(l(s))?\nAnswer: 2007*s**2 - 34773*s + 150618","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-34)*(-1179035)\/26675\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify d*d**(-35)*d*d\/(d**11\/d) assuming d is positive.\nAnswer: d**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 82 + -11. Let r = -42 + t. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.1512 - 0.3512. What is the third smallest value in 364, 4, -2\/7, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.006 - -0.006. Let k = -21192\/85 - 219\/17. Let q = k - -261. What is the nearest to l in q, 4, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the second derivative of n**6\/10 + 9*n**5\/20 - 9*n**4\/4 - 27*n**3\/2 - 3810*n. Factor y(o).\nAnswer: 3*o*(o - 3)*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:57 PM and 11:32 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*n - 5*c + 12, -2*n - 5*c = 3*n - 30. Let p be (3 - 6)*(-4)\/6. Suppose -p*a + 96 = 4*k, n*k = -5*a + k + 213. Does 20 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 63890 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1087, 4374, 9843, 17482, 27279, 39222, 53299, 69498?\nAnswer: 87807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/12*3 + 55\/22. Solve 0*b + 2*b = x + 1, 3 = 5*x - s*b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 2664, -0.3, 2\/23, -0.2, 117, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2255 + 5?\nAnswer: -2250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 29*z**3 - 16*z**2 + 7*z + 1. Is r(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 8339 + 2c?\nAnswer: 8367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:00 AM and 11:01 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1703920 is divided by 10018?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 84*t**2 + 2*t. Suppose j - 7 = -11. Let u be s(j). What is u rounded to the nearest ten?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -64\/15 - -23\/5. Let h(s) be the second derivative of 1\/6*s**4 + 0 - z*s**3 + 0*s**2 + s. Find the second derivative of h(x) wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -3*f**3 + 14*f**2 - 23*f. Determine y(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/(-15))\/((-26)\/3)*(-48)\/648*-27\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 8767360 to the nearest 10000.\nAnswer: 8770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(84) - sqrt(84)*-1)*2)\/(4*sqrt(108)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -4*k**2 + 0 - 3 + k**3 + 1 in the form c + p*k**2 + y*k**3 + q*k and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3856*t + 3854*t + 2*b = -32, 57 = -3*t - 3*b + b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 846.5553 minutes to microseconds.\nAnswer: 50793318000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x + x = -5*g + 45, g = 3*x + 11. Let i be 6\/(-9)*7*(-9)\/6. Let c(u) = -u**2 + 6*u + 11. Let n be c(i). Solve n*f - 2*f + g = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**22\/l)\/((l\/(l\/(l**(-1\/10)*l)*l))\/l) assuming l is positive.\nAnswer: l**(221\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 82 a factor of 50970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 248264 and 36536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 307*c**3*z**3 + 40*c**3*z - 6059*z**3 + 16 wrt c.\nAnswer: 921*c**2*z**3 + 120*c**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 2133*-1.1845\nAnswer: -2526.5385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 374.770698 rounded to one decimal place?\nAnswer: 374.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 30723 divided by -931\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*g = 152 - 394 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 2*i - 16. Let b be l(11). Suppose -2*w = -50 + b. Calculate the smallest common multiple of w and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 340794 is divided by 113593?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 9 - -8. Calculate the remainder when 1*18*42\/12 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16\/4 + (-210)\/54.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -5 (b) 3\/4 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-202*x**2 - 296*x**2 - 290*x**2)*(2 - 2 - 2 + (4 - 5 + 2)*(-2 + 3 + 0)) to p + r*x**2 + t*x and give r.\nAnswer: 788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 57 - 568?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -0.5319+814.3\nAnswer: 813.7681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3, 0, -60, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4970848.\nAnswer: 2, 163, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -14*i - 36. Let r(c) = -c**2 + 7*c - 5. Let w be r(5). Let x(o) = -o - 1. Let h(p) = w*x(p) - j(p). Does 14 divide h(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 5*b - 1. Let s be g(1). What is the tens digit of (-3 + s)*(-1 + 12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 836 - 916. Let b be 1 + -66 + 1 + 1. Let p = b - 16. Which is smaller: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 556 minutes before 10:34 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1\/2045 + 10043\/372190. Find the common denominator of -50\/143 and v.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (5 + (-2 + sqrt(200) - sqrt(200)) + 1 + sqrt(200) + -4 + sqrt(200))**2*-5.\nAnswer: -3995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 55 + 98. Calculate the highest common factor of w and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, g: 3, q: 1, y: 3, d: 1}. What is prob of sequence gn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 3118.343 nanograms in kilograms?\nAnswer: 0.000000003118343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 11571, 11559, 11533, 11487, 11415, 11311?\n\"Answer: -p**3 - p**2 - 2*p + 11575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (364\/(-1911))\/((-8)\/(-18)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -32*(-32)\/2048*((-18)\/21)\/3.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (x + 1 - 1)*(-6*x**2 + 24 - 24) + 26*x**3 + 54*x**2 - 54*x**2 + (3 - 3 - 2*x)*(-3 + 3 + 2*x**2) to the form s*x**3 + t + m*x**2 + z*x and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/84*2)\/((-3)\/(-6))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 49\/85086 and 97\/3456.\nAnswer: 16336512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 9\/10 - 103\/120. Is 1 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 5*w = -8*w. What is the tens digit of (3 - w)*(-5 - (-1455)\/9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f*f**(-6)\/f)\/f**(-6)*((f\/(f\/(f**(-1)\/f*f)*f*f))\/f*f)**(-45))\/((f**(-3)\/(f*f**(4\/3)))\/(f**(-1)\/f**(-4\/3))) assuming f is positive.\nAnswer: f**(425\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 494.1788ml?\nAnswer: 0.4941788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -108190000 to the nearest 1000000.\nAnswer: -108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13029444.\nAnswer: 2, 3, 223, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -4*o**2 + o + 5*o**2 - 5*o**3 + 0*o + 1. Suppose -l - 20 = 3*l, 3*b - 4*l = 17. What is the units digit of y(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3990 + 3990.4. Sort 0, -3\/13, p in decreasing order.\nAnswer: p, 0, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 - 14 = -2*q. Solve -32 + q = v - 4*j, -5*v - 25 = -5*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*t - 27 + 7. Suppose -3*k = 3*s - 6, 5*k + t = 4*s + s. Suppose 21 = s*y + y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 697933832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) 0.3 (b) -2 (c) -0.02 (d) -0.3 (e) -0.4 (f) 233072\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xppp when four letters picked without replacement from xxpxxpxp?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -j**2 - 119*j - 990 = 0.\nAnswer: -110, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3280 and 26732?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -0.02*-0.0805961\nAnswer: 0.001611922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -85\/108 and -163\/702.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 1231*l**2 - 19*l + 3. Is b(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (5\/2 - 3)*70. Let m be (4\/7)\/((-10)\/l). Suppose -c = 4*z - 57, -c + 2*z = -35 + m. What are the prime factors of c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 10 = -4. Suppose -3*x - o*x = -30. Suppose -27 = i - 32. What is the smallest common multiple of i and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 88705 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 14 = -5*h, 3*h + 30 = q + 2*q. Suppose -q*u + u - o = -14, -u - 5*o + 22 = 0. What is the lowest common multiple of (-3 + 17\/5)\/((-1)\/(-35)) and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 89772770?\nAnswer: 2, 5, 8977277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 100*u - 99*u + 52 + 34 in the form d*u + s and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 1 (b) -2\/2858697 (c) 3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(96) + sqrt(96) + -2*sqrt(96) + sqrt(96) + sqrt(96))\/sqrt(2).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 40 = 2*t, -5 = -3*b - 4*t + 5. Suppose -4*s + b = -2*p, 2*s = -s - p - 5. Sort 4, 1, 2, s in ascending order.\nAnswer: s, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (966\/56)\/(9\/(-2)). Which is the smallest value? (a) -5 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 62 + -60. Suppose l*i - 2*w = 146, 4*i + 0*w + w = 317. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - -16 - 23) + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 60 + 6 = -4*m, -4*h - 36 = -2*m. Let x be -1 + 10 - (-7 + m). Suppose -4\/9 - 10\/9*l**3 - 14\/9*l - 2*l**2 - 2\/9*l**x = 0. What is l?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(833) + -5)*-1.\nAnswer: -7*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -4*l + 11. Suppose -2*r = 5*d - 25 + l, -5*d = -2*r. Let a be (d\/3)\/((-4)\/114). What is a rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = h**2 + 9*h - 3. Let u be n(-10). Let g be 3\/6 - u\/2. What is the units digit of (g + -1)\/(3 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5700?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -49*s + 1 + 1 + 12*s**2 + 48*s to the form y*s + l + w*s**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 9*r - 2*r**4 - 2*r**4 + 0 + 0 wrt r.\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.1 - 0.1. What is the second smallest value in 2\/7, 5, r, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from sxsxx?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 69740 to the power of 1\/2, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 123 minutes after 8:05 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -4346416 (base 7) in base 6?\nAnswer: -15231024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 138171*b*j**3*o**2*u - 6*b*j**3*u + 8*b*o**2 - 164*j**3*o - 702*j*o**2 wrt u.\nAnswer: 138171*b*j**3*o**2 - 6*b*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 975*u - 405 = 37 + 1508. Suppose -3*o - 5*c = -0*o - 5, -2*o - 3*c = -4. Suppose -3*r + 8*r - 25 = -o*k, 4*k + 25 = 5*r. Solve -u*y + y = -r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51 = -4*q - 7. Let l = -10 - -13. Suppose -6*i + l*i + 21 = 0. What is the smallest common multiple of i and q?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 296764481 to the power of 1\/2, to the nearest integer?\nAnswer: 17227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -16920 divided by -940?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*2*903\/23478 - 372\/234.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 144434, 144417, 144400, 144383, 144366, 144349?\n\"Answer: -17*w + 144451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*r - 3*r - 2*r)*(-3 - 1 + 3)*(2 - 2 + 1)*(-2 + 5 - 1).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**(1\/3)*h*h**(2\/3)*h\/(h*h**(-2\/3))*h*h*h**7*h*h)**36 assuming h is positive.\nAnswer: h**528","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 9 + -3 + 6 + 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.27 * 2215391.\nAnswer: -598155.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.7 - -0.3. Suppose -y + k = 1, -2*y + 10 = 2*k - 0. Let m be 1 - 4*y\/4. Which is the nearest to 1? (a) m (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 78428252 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -1131*c = -1234*c + 721 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(175) + sqrt(175) + sqrt(175)*1))**2 - (sqrt(672)\/sqrt(6) + (-1 + sqrt(7))*-1)**2.\nAnswer: -6*sqrt(7) + 6236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2 + -1)\/(9\/(-12)). Let x = -3 + 5. Suppose x*t - t - y = 0. Solve -2*f - w = 0, t*w = -5*f + 2*w - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 10.09 + -482.09. Let t = m + 513. Which is the third smallest value? (a) 2 (b) t (c) -4 (d) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 13, 27, 47, 73, 105, 143, 187?\n\"Answer: 3*d**2 + 5*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 2, 2704, -10, -4 in increasing order.\nAnswer: -10, -4, -2, 2, 2704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 130*(14\/(-49)*(-30)\/(-20))\/(42\/(-49))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -9049, -9046, -9043, -9040, -9037?\n\"Answer: 3*n - 9052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 70*o**3 - o**3 + 87*o**3.\nAnswer: 156*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of -508453.4 and 0.3.\nAnswer: -152536.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -r**3\/2 + 817*r**2\/2 + 1637*r\/2 + 819\/2.\nAnswer: -(r - 819)*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 709 minutes before 11:56 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1*14\/2*-1. Let f(r) = r**2 + 3*r. Let w = 6 + -10. Let x be f(w). Solve -n = d + 3*i - 2*i, -4*i + x = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2518758 to the nearest ten thousand.\nAnswer: -2520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 - ((-10 - -52) + 59) - -21.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 25\/3 in 3\/4, 0.9, 6\/5, -0.3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 10270 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.6 - -0.85. Let k = 0 + a. Let p = -0.05 + k. Sort -0.3, -2, p in descending order.\nAnswer: p, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -3*i**3 - 61*i**2 - 12*i + 164. Let r be o(-20). Solve 10 = 4*s - 2*z, 5*s - r = z + 13 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (2*23\/(-2))\/(57\/38*(-20)\/30)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 611 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 21*d*q**3 - 4*d*q**2 - 2*d - 77 wrt q?\nAnswer: 63*d*q**2 - 8*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-19488)\/(-3255) + -6)*45\/(-9)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1525 = 2*w + 3*w. Suppose -4*l + 514 = -5*a, -l + 0*l - w = 3*a. Calculate the remainder when 10 is divided by 1\/(-4) + a\/(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1077156 is divided by 114?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 26*k**2 + 2*k - 30. Let w(j) = -207 + 102 + 5*j**2 + 99. Let c(s) = 3*v(s) - 16*w(s). Give c(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -12131 - -21303?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 15 and 9510?\nAnswer: 9510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g and 1 q when three letters picked without replacement from {q: 1, y: 2, g: 6, h: 4}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 609 minutes before 7:41 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4*(-1)\/(-4) - -2. Let u(r) = 2*r + 8*r**2 - 8*r + r - r**m - 1. List the prime factors of u(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -16031 - -16035. Let y(k) = -6*k + 56. What is y(j)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -306 + 305.999586. Round m to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2363, -2842, -3649, -4790, -6271, -8098, -10277, -12814?\nAnswer: -15715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -9227 = -103*b - 8094 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 5*w - 16. Is (w - -3213)\/(1 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 less than or equal to -4\/52781823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*s + 26 - 37 + 14*s - 39.\nAnswer: 2*s - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4518?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1753653 and 726?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Is 451334069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/13*x**5 - 40\/13*x**2 + 20\/13*x**4 + 50\/13*x**3 + 128\/13 - 160\/13*x.\nAnswer: 2*(x - 1)**2*(x + 4)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -26 - -44. Suppose -2*o + 20 + h = 0. Solve 2*f = -0*f + 5*t - 13, 0 = 4*f - 3*t + o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03158266 times 4?\nAnswer: -0.12633064","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Solve -16 - 24 = -44*c + 48*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2727 - -4269. Is 74 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000335891 to six decimal places.\nAnswer: -0.000336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -75*(-4)\/3*(82\/615)\/((-132)\/55)\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the third derivative of m**7\/5040 - m**6\/144 - 11*m**5\/30 - 22*m**2 + 2*m. Let o(w) be the third derivative of q(w). Give o(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 7*y = -5*w + 10, -5*y + 35 = 4*w. Suppose -75 = -179*h + 154*h. Calculate the remainder when 19 is divided by 32\/y + h\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/2 - 4\/(-24). Let r be 5\/2*-2 - 0. Let q = -5 - r. Which is bigger: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12 + -9 - (2 + -3 + (-1 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -765 + 765 + 1708*w**2.\nAnswer: 1708*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 3*m - 20 = -2, -z - m = -8. Find the third derivative of 45*v**4 - 3*v**2 + 4*v - z*v + 19*v + 10*v wrt v.\nAnswer: 1080*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = n**2 + 6*n + 1. Let l be d(-4). Let i = -3 - l. Let f(o) = o**3 + 2*o**2 - 4*o. Let v be f(-3). Which is the nearest to 0.2? (a) v (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 80724 and 19964?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 31.21823 millimeters to meters.\nAnswer: 0.03121823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -3 and 0.27.\nAnswer: -0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:45 AM and 10:06 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -45, -62, -85, -120, -173, -250, -357, -500?\n\"Answer: -d**3 + 3*d**2 - 19*d - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 16 - 17. Suppose y - a = 4, -2*y - 4*a + 5 = -3*a. Let k(u) = 2 - y*u + 0 - 3. Give k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that -2*u**2 + 56*u - 392 = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = -4*d + 204, -46 = -b + 5*d + 5. Which is greater: b or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2*(-1)\/2)\/((-32)\/(-1184)). Which is the fourth smallest value? (a) -3 (b) -5 (c) i (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*v - 55 = -21*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + i - 4*k = 124, -4*k = 2*i - 116. Let s = 69 - i. Suppose -84 = -3*g + 3*m + 27, 3*m = -s. Calculate the remainder when 133 is divided by g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -v = -5*b - 20, 0 = b + 2 + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1 - (4 + (-6 - -2)). Let t be (82\/(-164))\/((-2)\/712). Which is the nearest to k? (a) 3 (b) -2\/15 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3415 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 32\/79 and 59\/109665.\nAnswer: 8663535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3\/55 - 31\/165. Let k = -124 + 122. Which is the third smallest value? (a) k (b) l (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u + 5*o - 6 = 23, 2*u + 2*o = 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 41 a factor of 349427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:13 AM and 7:30 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-75)\/(-6)*(168\/15)\/2?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = -p + 3 + 56, -g + 47 = p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/13 in 71, -3, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -cd2 (base 14) to base 13\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the first derivative of -h**3\/3 + 5*h**2\/2 - 2. What is s(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:32 PM and 4:03 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 9515.01 minutes?\nAnswer: 570900600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Do 7399 and 73365 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = 858 + -103. Find the third derivative of 9*s**4 + 755 - d + 16*s**2 wrt s.\nAnswer: 216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(1300)*1 - (1 + sqrt(1300) + 0 - sqrt(1300))**2) + (1 + (-3 + sqrt(1300))**2)*5.\nAnswer: -240*sqrt(13) + 6549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*l**2 + 90 + 42*l**3 - 32*l**3 - 2*l**4 - 81 to the form y*l**2 + b*l**4 + d*l**3 + a*l + u and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5.5616 - -1.5616. Let l be 5\/52 - 1\/4. What is the fourth biggest value in w, 1\/4, -1\/12, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-15)\/2 - (96\/8 - 18)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1986*j - 1 + 1800*j + 1678*j.\nAnswer: 1492*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -380126 (base 13) in base 10?\nAnswer: -1342568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 116\/5223 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = -k - 2 - 4, 3*k - 12 = r. Suppose 0 = -3*c - 138 + 270. Suppose c = k*y - y. Calculate the remainder when 65 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 70300409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 5 - 222*o**3 + 8*o - 248*o**3 + 471*o**3 - 8*o**2. Let y be (-2)\/7 + (-102)\/(-14). Give a(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 7 + 7 - 4 + g**2 + 9*g + 1. Let m be o(-8). Suppose 0 = 4*x + 2*i - 22, x + 3*i + 7 = 25. Solve m*f + x = -3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 288 - 153. Calculate the highest common factor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**2 - 146*i + 4650. What is c(47)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.4, -26, 4.9, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:43 AM and 11:58 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be -1*(-1)\/2*0. Suppose z*u - 24 = -4*u. Suppose u*j = 5*j + 29. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is n in 6252*n**4 - 185465578*n**3 + 1375551776446*n**2 - 1374926340672*n - 439976448 = 0?\nAnswer: -1\/3126, 1, 14832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6.6 - 7.1. Let b = 23.6 + j. Round b to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 102 divide 134280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gk when two letters picked without replacement from {z: 1, k: 6, s: 2, y: 2, g: 2, q: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 8450120 divided by 11720?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 920 and 24.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -180559, -361125, -541691, -722257?\nAnswer: -902823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -11\/2259198 and 15\/119?\nAnswer: 15814386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 11*q - 48. Suppose -163*l - 174*l - 138 = -314*l. Let c(p) = -4*p + 16. Determine l*f(i) - 17*c(i).\nAnswer: 2*i + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:05 PM and 2:00 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*m**2*o + 40*m**2 + 7*m*o + 3*m + 2*o + 77 wrt m?\nAnswer: 4*m*o + 80*m + 7*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 302111985 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 95169001451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4683 (base 9) in base 7?\nAnswer: 13065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 276 and 253.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 12 (base 7) to base 15\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16753601.\nAnswer: 151, 110951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (a - 2 + 2)*(-4 + 0 - 6) + (1 + a - 1)*(-3 - 4 - 2).\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*4*(4 + (-1*sqrt(7) - sqrt(7))))**2.\nAnswer: -256*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 254 - 251. Factor 10*g + 10*g**2 + 8*g**2 - m*g**2 - 5*g**4.\nAnswer: -5*g*(g - 2)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 31820*a**4 + 3*a**3 - 113174*a**2 wrt a?\nAnswer: 763680*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w + 4. Let a(y) = y + 4. Let b(l) = -3*a(l) + 4*j(l). Calculate b(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 11*s**3 + 9*s**2 + 17*s - 3. Let z(v) = 3*v**3 + 2*v**2 + 4*v - 1. What is -2*n(f) + 9*z(f)?\nAnswer: 5*f**3 + 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 155? (a) 0 (b) -0.07 (c) -0.001 (d) 15 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -74 - -133. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 6*o**2 - 5*o + 4. Let c(b) = 2*b. Suppose 1 + 1 = 2*q. Let y be c(q). Let w(m) = -m**2 + m - 1. Let z(i) = y*g(i) + 10*w(i). Factor z(u).\nAnswer: 2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5220988098.\nAnswer: 2, 3, 317, 499, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2062507?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 9 + 1 = 0. Let n = -12 - h. Let u be 3460\/(-519)*6\/8. Is u > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 3230*k + 16147. Give f(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -3*u**2 - 119*u + 68. Give b(-40).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 1, -2, -14.\nAnswer: -14, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 6 + 5)*(g - 1 + 1) + 0 - 40 + 8*g - 43 + 5*g - g - 5*g.\nAnswer: 13*g - 83","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*y = -29*y - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 6*u**2 + u + 2. Let o be p(-1). Solve -o*h - 25 = -4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -36\/7, -4, -8, 0.04?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-3)*(-1653)\/38*(-1)\/1\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 376 - -114. Let k = 489.6996 - y. Let s = k - -0.3. Round s to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 3504 divided by -1168\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Do 17239\/71 and 244 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 9002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 3, -23, -0.2, -6\/5 in descending order.\nAnswer: 4, 3, -0.2, -6\/5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is l in 2*l**3 - 16100*l**2 - 64424*l - 64432 = 0?\nAnswer: -2, 8054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10740\/7 + -1538. Let q = 8 - 13. Which is smaller: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*s - 2*s = 10. Let x = -1374 + 8345\/6. What is the common denominator of (s + (-63)\/6)\/3 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -4694, -9334, -13892, -18344, -22666?\n\"Answer: 4*a**3 + 17*a**2 - 4719*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k**3 - 6*k**2 - 7*k - 2. Let y be g(-5). Let a(o) = 6*o - 3. Suppose -3 = 3*b - 9. Let c(d) = 2 - 3 - b*d + 2. Determine y*c(w) + 3*a(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -6764.24166 rounded to zero decimal places?\nAnswer: -6764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 932 and 1703929.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00006668 to 6 decimal places.\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i + 22. Let n be g(-17). Solve 0 = n*d - d - t + 10, 0 = -3*d - 4*t - 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 320 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 + 8)\/7 - -9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 849 + -977.4. Let c = 70 + w. What is c rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.1577 times -4\nAnswer: 0.6308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6808179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 0.0172953km?\nAnswer: 17.2953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:36 PM and 12:57 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.492673 millilitres to litres.\nAnswer: 0.000492673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 144 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 28 (b) -2 (c) 0.86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 686\/139, 0.01, -2\/23, 4 in descending order.\nAnswer: 686\/139, 4, 0.01, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58*z = 63*z - 25. Let m(h) = -z + 0*h + 2*h**2 + 3*h - 5 + 7*h. Does 34 divide m(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 20*h - 9. Let g be j(9). Let m = g - 96. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1492231747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -139 - -298. Suppose -10*h = -7*h - c. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 13 = -3*w, -2*w + 6 = t + 2. Suppose 0*s + 4 = 2*s. Suppose 3*f + s*n + 2 = -w, -4*f = 4*n. Is f equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 6479970 = -0*f. Suppose f = 4*t - 5*p, t - 6*t = 4*p - 4050012. What is t rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*r**2 - 7*r**2 - 10*r**2.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -y**3 - 8*y**2 - 7*y + 7. Let x = 165 - 172. Let t be b(x). Solve -2*v + 2 - 3 = p, 4*v - 3*p + t = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.51644 * 3\nAnswer: -1.54932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*c - z + 24, 4*c + 3*z - 3 = 25. Suppose k = -c*k + 110. Let a = k - 3. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/9, 1\/6, -24.7 in decreasing order.\nAnswer: 1\/6, -2\/9, -24.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/d**8)\/d)**(-2\/73)*d\/(d*(d**(-8)*d)\/d)*d*d**(2\/9) assuming d is positive.\nAnswer: d**(6203\/657)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-51)\/12)\/(6\/(-24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -6*t**2 + 2*t - 8. Let f(s) = -s**2 - s - 2. Let n(k) = -4*f(k) + o(k). Factor n(p).\nAnswer: -2*p*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -58\/1200549 and -139\/4001830?\nAnswer: 12005490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 458*g**4*m - 4958*g**3*m - 3*g**2*m - 48*m - 29278 wrt g.\nAnswer: 10992*g*m - 29748*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 692 minutes before 5:13 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j + 15. Let n be r(0). Let m = n - 11. Find the first derivative of 3*d**3 + m + 4 - 2 - 2 wrt d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, 0, 5, -21, 1\/5, 2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -149191149, -298382298, -447573447?\n\"Answer: -149191149*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 322 is divided by 191?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 57 = -v, 11 = 3*w + 5*v - 53. What is the greatest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 8*f - 1. Let m be j(1). What is the highest common factor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 104 - 44 = 4*g. Suppose -781 = -4*n + 3*k, -g*n + 14*n + 204 = k. List the prime factors of n.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in 0.5, -0.1, 84, 0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 1465 = -4*u + 1329 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6327452552 to the nearest integer?\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 5*g = -2*k - 40, -2*k - g - 5 = 0. Let f be 0 - (5 + -14 - k). Suppose v - 2*v = -3*h + 230, 4*v = f. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 14*a - 61. Let q(s) = 39*s - 184. Let b(i) = 4*q(i) - 11*w(i). Give b(32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -224 greater than or equal to -4487\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*z + 6*z + 12*z + 10*z - 5.\nAnswer: 21*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply -5 and -11761.\nAnswer: 58805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = 518 - 408.5. Let l = 109 - t. Which is the second biggest value? (a) -2 (b) 4 (c) l (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4292.44 to the nearest 10.\nAnswer: -4290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 23*s**4 - 2*s**3 - 9341 + 9899 + 3*s**3 wrt s.\nAnswer: 92*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3 - 2676265200199.6.\nAnswer: -2676265200199.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-p**3 + 2*p**2 + p**2 - 2 + 3)*(2 - 2 - 3)*(-1 + 1 + 2*p).\nAnswer: 6*p**4 - 18*p**3 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = -5*m - 5*x + 26, -3*m - 2 = -2*x. Suppose -h - 4*t + 28 = 3*h, t = m. Suppose 0 = 2*d - 0 - 10. Solve -h*v - g + d = 0, -3*v - 3*g = 8 + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 11310, 11261, 11136, 10899, 10514?\n\"Answer: -6*w**3 - 2*w**2 - w + 11319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find h such that 4*h**4\/7 + 764*h**3\/7 + 44508*h**2\/7 + 105868*h - 532336 = 0.\nAnswer: -97, -49, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 768930 to the nearest 1000.\nAnswer: 769000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**2\/11 - 14073134*y\/11 - 14073132\/11.\nAnswer: -2*(y + 1)*(y + 7036566)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 9*m**3 - 5. Suppose 6*h = 8*h + 10. Let k be (-2)\/(-4)*(8 - 4). Let y(p) = 3*p - p - k + 4*p**3 - 2*p. Calculate h*y(w) + 2*n(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -3*k. Let f(h) = 2*h. Let l(o) = -5*f(o) - 4*s(o). Let x(j) = 2*j. Let m(t) = -2*t + t - 3*t. Let y(c) = 6*m(c) + 10*x(c). Give y(l(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(330)\/(-6*sqrt(176)))\/(-4*sqrt(96)*6)*6.\nAnswer: sqrt(5)\/384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-35)\/(-3) - 4\/(-12))*-1. Let t(d) = -5*d - 3 + 36 + 4. What is the units digit of t(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*p + 14 + 6, -2*p = -5*q + 180. Suppose -50*b + 67*b = q. Solve 0 = i - b*i - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1210 divide 9152440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/(-36) - 2154\/(-54). Does 9 divide o\/260 + 646\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 2*q + 109 = 0, 3*c - 8*q = -3*q + 97. What is the remainder when c is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 4*l - 1. Let y = -118 - -122. Let j = 214 - 134. Suppose j*z = 84*z + y. Determine g(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + 5*p - 110 = -5*l, 2*l + 6 = 0. Suppose -3*q - 64 = -5*k, q + 4 = 3*q. Calculate the remainder when p is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 + (10 + 2 - 6) + -9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -20, -24, 1, -13, -30 in descending order.\nAnswer: 1, -13, -20, -24, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -182*h**2 - 582*h wrt h.\nAnswer: -364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -14554 - 1151?\nAnswer: -16035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n\/n**(-1\/7)))\/n*n\/n**(2\/9)*(n**(-1\/3)\/n)**(14\/11) assuming n is positive.\nAnswer: n**(-1429\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2\/(-16))\/((-1)\/(2*-1)). Put k, -1.7, -2 in increasing order.\nAnswer: -2, -1.7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -117 - -123. Suppose -2*r = -5*u - m, 2*r - 29 = -3*u - 23. Put 4, u, 1 in descending order.\nAnswer: 4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -900, 281, 42 in increasing order.\nAnswer: -900, 42, 281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = 782.53 + -747.8. Let y = 35 - p. Let o = 0.22 - y. Is 2 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/4545*-3)\/(710\/4260).\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(100)\/sqrt(2))**2 + 4 - sqrt(800)*-2) + ((sqrt(300) + sqrt(300) + (-3*sqrt(300)*-1 - sqrt(300)))\/sqrt(6))**2.\nAnswer: 40*sqrt(2) + 854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -21*r**2 - 38*r**2 - 5*r + 53*r**2 + 50*r as k + g*r + f*r**2 and give g.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -0.088 (b) -0.05 (c) 3\/38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*v + k + 8, -1787*k - 4 = v - 1788*k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 174941, 349885, 524853, 699857, 874909, 1050021, 1225205?\nAnswer: 1400473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -44032*a**3*p*q**2 - 77*a**3*p + a**3*q + 167*p*q wrt q?\nAnswer: -88064*a**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3\/14 or 11216436?\nAnswer: 11216436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 7470 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) be the third derivative of 3\/280*m**6 + 0*m**4 + 1\/490*m**7 + 0*m**3 + 0*m + 11*m**2 + 1\/70*m**5 + 0. Solve a(p) = 0 for p.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -9906*i**2 + 220*i - 4 wrt i?\nAnswer: -19812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 668 = -5*n, -5*r - n + 220 = -6*r. Let j = -61 - r. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 2*m - y = -1, 5*m = 4*y - 4. Suppose -2*w + 0*w + 6 = m. List the prime factors of 24 - (-9)\/w*(-2)\/3.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 18\/1097 and -34.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**3 + 19*u**2 + 46*u - 889. What is x(18)?\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sum -49709722 and -0.42803.\nAnswer: -49709722.42803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 580 (b) -231 (c) -4 (d) -0.018\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence crr when three letters picked without replacement from crcrsrcr.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 63313866 and 132.\nAnswer: 126627732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 5\/4, 2\/3, -5\/6, 4798, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1552\/32 + 25\/(-10). Let u be (-1)\/(170\/86 - 2). Let n = i - u. Solve n*t + 5*x - 22 = 0, 5*t = -3*x + 9 + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the first derivative of -1417*a**4\/4 + 339*a**2\/2 - 1094. What is the second derivative of n(q) wrt q?\nAnswer: -8502*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 99512\/(-5331)*1\/3*45\/(-10)*-2.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -3889*p - 5*w = -3895*p + 22, -4*p + 5*w + 8 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5433 = -2*g + 5*x, 4*g + 3*x - 10857 = 4*x. Suppose -g = -4*y + 1982. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 67*h + 5 - 135 = 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((c*(c*c**(-2)\/c)\/c)\/c*c)\/c)**(-6))**(2\/27)*((c**1\/c*c)**45)**(-32) assuming c is positive.\nAnswer: c**(-4316\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 33 - -871. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*y = 12*y - 12. Solve -2*j + 4*z = 7*z + 10, 0 = j + y*z + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000164548614 to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Are 11339 and 510311\/45 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 12\/317 and -49\/10.\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) 4 (c) -7 (d) 4\/1125 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Add together 4230 and 0.03538.\nAnswer: 4230.03538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 12634, 3 in decreasing order.\nAnswer: 12634, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/(-36)*30\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 48, 98, 148?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 104 + 49 = 0. Let l be ((-5)\/(-7))\/(5\/35). Suppose -l = 3*b + 4, -5*b - 80 = -5*h. What is the remainder when w is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-18)\/6*(-18 + -1). Suppose 103 + n = -20*l. What is the fourth smallest value in 1\/6, 1\/4, l, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-65 - i**3 - 7*i**2 + 6*i**3 + 67)*(3*i - 7 - 2*i + i) in the form w*i**3 + k*i + f + z*i**4 + x*i**2 and give x.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -20*y**2 - 14*y - 8. Let h(z) = 7*z**2 + 5*z + 3. Let w(s) = -17*h(s) - 6*o(s). Let f = 12 - 11. Let v be 3\/(f - (-4)\/(-16)). What is w(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 - -3.2. Let j = 0.2 - 0.6. Let f = -0.5 - j. What is the nearest to f in q, -4, 2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 226561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w be 6\/(-10) - 0 - 472\/(-20). Let f = w + -21. Suppose -f*d + 162 = -d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -311775, -311809, -311843?\nAnswer: -311877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be 12 + 20*(-14)\/28. Solve -8*z + t = -7*z - 2, -j*t = -4*z + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1761974 (base 13) to base 8.\nAnswer: -34775617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1\/12 - -1\/4. Factor w*r - 1\/3*r**3 + 1\/3*r**2 - 1\/3.\nAnswer: -(r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((329\/(-141))\/((-1)\/(-3)))\/1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 19 and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 326398.3l in millilitres?\nAnswer: 326398300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.002839 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 9479216?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 3, u: 5, y: 4, k: 7}. Give prob of sequence ujuy.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -0.618036383 to 3 decimal places.\nAnswer: -0.618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2 + 0)*(0*f**2 - 2*f**2 + f**2 + (1 + 2 - 1)*(-18*f**2 + 180*f**2 + 41*f**2) + (-3 + 4 - 3)*(-2*f**2 + 6*f**2 - 3*f**2)).\nAnswer: -403*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 65990 (base 16) in base 6?\nAnswer: 12530332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4.828 - 0.172. Let k = 5 + -13. Let n = k - -12. Which is the smallest value? (a) 1\/4 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1445\/(-1156)*15\/((-7425)\/252).\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 + ((-18)\/(-25))\/(126\/(-1680))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(57)\/((sqrt(12)\/sqrt(4) - sqrt(3)) + sqrt(3)) - sqrt(19)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 89 + -7 + 18 + -74.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 65413?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -66.6 + 69. Let l = 3.4 - d. What is the nearest to -3\/5 in 0, -2, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-54)\/(-9)*(4343\/4902)\/101?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 249 minutes after 4:15 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -5*(5 + 108\/(-30) + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 201 + -4?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4 and -10131.\nAnswer: 40524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-314)\/4)\/((-7)\/14) - -2. Let t = z + -139. Solve 3*g + 38 = 5*p + 6, -3*g = -2*p + t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = -334*r + 333*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -11 (b) 18 (c) -2417\/2 (d) 1\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -35 - -35.94. Let f = b + -0.16. Let r = 0.38 - f. Which is smaller: 0.2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31400160 divided by 3135?\nAnswer: 10016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1971 is divided by 982?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 25*c**3 - c - 2. Let b be n(3). Suppose 3*k - 5*k + b = 0. What are the prime factors of k?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -9*f - 1070. Calculate i(-91).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 713899 and -15122?\nAnswer: 729021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 114 and 43.6229?\nAnswer: 4973.0106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 76 - 62 - (-6 + 37).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:22 AM and 1:31 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 0*c - 16 = 0. Let a = -227\/4 - -56. Sort c, 0.1, a in ascending order.\nAnswer: a, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.6 and -25395?\nAnswer: 25394.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3394502508.\nAnswer: 2, 3, 5077, 55717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g**3 + 10*g**2 - 4. Let l be u(-10). Sort 5, l, 1.\nAnswer: l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vvebxyuyxvvybyu. What is prob of sequence byvx?\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -558*k**3 - 143*k**3 - 2 + 700*k**3 + 4 - 2.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the second derivative of z**3\/3 + 2*z**2 + 14*z. Let n(y) = -6*y - 18. Let q be n(-3). Let l be a(q). Solve 5*p = c + 34 - 10, l*c + 4*p = 24 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 6*r = 0. Suppose 0 = 4*k - r*k + j - 21, -k + 3 = j. Calculate the least common multiple of 4 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4\/93 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o + 5*r + 87, -4*o - 2*r + 132 = 2*r. Suppose 35*y + 24 = o*y. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*v**2 + 2*v**2 + v**2)*(-28 + 2 + 1)*(-v + 2 - 2)*(2 - 6*v**2 - 2).\nAnswer: -150*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 104480457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 22 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 7 + 852*g**2 - 20 + 10 + 3 as f + l*g + q*g**2 and give q.\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 4*w - 3. Let s = 27 + -24. Suppose 2*x + 2*k - 12 = s*k, -3*x + 18 = 2*k. Is 7 a factor of q(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000567816 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52*h - 64*h + 1912328 = 50*h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 times 3343?\nAnswer: -10029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -4 take away -0.39132?\nAnswer: -3.60868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*o - 20*o + 430 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8787 is divided by 1231.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 64480 and 2765820.\nAnswer: 287645280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be 12 - (-31 - -4)\/(-3). Suppose 5*g - 5*y + 25 = 0, -6*g + y - 25 = -g. Let q be ((-2)\/g)\/((-2)\/(-10)). Solve -w*h + 10 = q*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t + 1. Let c(k) = -k**2 - 4*k - 9. Let i = 81 + -85. Let b be c(i). Let v be (-1)\/(-3*1\/b). Give s(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 260 + -84. Calculate the greatest common factor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 688 - 688. Suppose -5*z - 5*h + 185 = s, 126*z - 3*h = 130*z - 149. Is 12 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 122 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 321867, 321866, 321865?\nAnswer: 321864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be (21\/(-6))\/((-9)\/54). Suppose 3*n - r = -4*n. Suppose -5*w = 10, 8*w = n*h + 5*w - 24. Solve 0 = h*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -192166208, -192166197, -192166184, -192166169, -192166152, -192166133?\nAnswer: -192166112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the first derivative of -d**4\/4 - d**3 + 2*d**2 - 2*d - 1. Let g = -6 + -4. Let a = g + 6. Calculate i(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 777146?\nAnswer: 2, 388573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = v + 5. Let i be m(-3). Find the third derivative of 2*p**2 - 7*p**3 - p**3 - 12*p**i wrt p.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:22 AM and 11:18 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from {g: 3, c: 3, q: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = -934 - -887. Which is smaller: b or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21030 (base 7) in base 14?\nAnswer: -1c50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.0209 + 435.4209. Let o = 422 - t. Which is smaller: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-63180)\/25 - ((-12)\/15)\/4. Let g = y + 3992. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/370*565\/226\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*m - 12*m + 11*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:06 AM and 3:53 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) be the third derivative of -q**6\/120 - q**5\/12 - 7*q**4\/24 - 5*q**3\/6 - 20*q**2. Determine p(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -157*y + 155*y + 24 + 314 + 75 + 247 + 24.\nAnswer: -2*y + 684","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3155062 + 3451?\nAnswer: 3161543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -20*j - 89. Calculate t(-13).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2275 - 2222. Solve 10*b - z + 33 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/((g*g\/(g\/(g\/(g*(g\/((g\/(g**(-2)*g))\/g*g))\/g)))*g)\/g))\/g)\/(g\/(g*(g*g**5*g*g*g*g)\/g))*(((g\/g**3)\/g)\/g)\/g**3 assuming g is positive.\nAnswer: 1\/g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.4 and 0.16.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = -66 - -66.1. What is the closest to d in -17, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from taaattaaaa. Give prob of sequence tt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 303 minutes before 4:16 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 305601?\nAnswer: 3, 23, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2960 + 251a?\nAnswer: 537a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2234, -4559, -6884, -9209, -11534?\nAnswer: -13859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 5*i + 4. Let n(f) = -f**3 + 8*f + 14. Let q be n(-2). Suppose 15*d - 65 = 20*d. Let m(p) = 2*p + 2. Calculate d*m(k) + q*o(k).\nAnswer: 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -20 - 14. What is the remainder when 91 is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l - 12 = -t - 10, 6 = -4*t + 2*l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1 - 22122012332130?\nAnswer: -22122012332131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, u: 2, v: 6, k: 5, j: 1, q: 2}. What is prob of picking 1 k and 1 u?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.04 and 819.\nAnswer: 819.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6 + 1. What is the nearest to 0.1 in 0.1, x, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 153*v - 155*v = -20 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 44741.\nAnswer: 44741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 123787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 36508, 73017, 109530, 146047, 182568, 219093, 255622?\n\"Answer: 2*x**2 + 36503*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k - 3*n = 28 - 0, 0 = 2*k + 5*n + 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 4\/261095203?\nAnswer: 4\/261095203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 960 (b) 1 (c) -1\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*h**3 + 2*h**3 - h**4 + (-1 - 4 + 2)*(3 - h**4 - 3) - 8*h**4 + 11*h**4 + 10*h**4.\nAnswer: 15*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*k + k + 225*t - 114*t = 2*k + 108*t, -5*k + 3*k + 3*t = -7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be -228 - -1 - (-2)\/(-1). Let c = m - -517\/2. Let k = -16813\/10 + 1687. Calculate the common denominator of k and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 791489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 1394*q + 4*f = 1391*q, -3*f - 37 = -7*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 820 and 999785.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2822 + 4764. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3\/2*(-548)\/(-4521). What is the smallest value in p, -3\/166, 0.4?\nAnswer: -3\/166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 58 divided by 198473\nAnswer: 58\/198473","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -16*t + 32. Does 12 divide r(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pooo when four letters picked without replacement from {o: 12, p: 5}.\nAnswer: 55\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Let x = -11 + 4. Let w = 6 + x. Suppose -2*s - 10 + 6 = 0. Are w and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/64*-16*((-10)\/35)\/(-1).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 38743 and -5.\nAnswer: -193715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 15026435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: ((-156)\/65)\/(3\/10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1.19 times 9998?\nAnswer: -11897.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/168 and -69\/70.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-4\/15)*y**(-14\/3))\/(y*y**(-1\/3))**(11\/7))**(3\/2) assuming y is positive.\nAnswer: y**(-314\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -92 take away -0.3431280241?\nAnswer: -91.6568719759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x + z + 9 = 0, x + 4 = -z - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 8*w**2 + 4*w + 2. Let x be ((-7)\/21)\/(2\/18). What is the remainder when q(x) is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 198\/440 + (-4)\/20.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -0*k + 3*g + 16, 4*g = -4*k - 8. Let h(r) = -r**2 + r. Let a be h(k). Let n(l) = -24*l - 1. Is n(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -223, -927, -2111, -3781, -5943?\nAnswer: -8603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -124125245552 + 4?\nAnswer: -124125245544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1303 is divided by 119?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(162) + sqrt(162)*2 + 4)**2.\nAnswer: 1080*sqrt(2) + 7370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v, 2 q, and 1 t when four letters picked without replacement from kvqvmtktetkq.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = 2*l - 5, -4*p = -5*l + 37 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 526 minutes after 3:13 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*m + 266214 = 87350. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -50 divided by -73.\nAnswer: 50\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -14 = -23*s - 83 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 1.5577 to two dps.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42 - 33 - 36 - 41 + 150 + 2*n.\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -3, -30, -6\/5, 1\/8?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -4*v - 153. Let u be f(-38). Let q be 1 + -6 + 2 + u. Let x be 29\/9 + 8\/(-36). Put 5, q, x, 4 in decreasing order.\nAnswer: 5, 4, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 22*h**2 + 3*h - 4. Let w = 10 + -9. Suppose 0 = -2*n + 2*d - 12, 3*d = -n + 5 + w. Is f(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 - (5 + -9 + 10 - -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1178713070.\nAnswer: 2, 5, 19, 37, 107, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 37 + 97 = 0. Let g(r) = -r**2 - 15*r + 27. Is g(k) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 25295944 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*f**4 + 0*f**4 + 3*f**4 + (-f + 2*f**3 + f)*(2*f + 2 - 2))*(8723 - 4789 + 2756 + 13446).\nAnswer: 100680*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.67082 + 658.30918. Let q = 661 - l. Which is bigger: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -20*w**2 - 10. Let p(s) = s**2 + 1. Let v(x) = h(x) + 10*p(x). Let u(q) = -33*q. Determine u(v(l)).\nAnswer: 330*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = m + 4. Let v(g) = -2*g - 42. Let w(n) = p(n) + v(n). Let y(z) = 0*z**2 + 2*z**2 + 2*z**2 - 6*z**2. Determine w(y(x)).\nAnswer: 2*x**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 25.3 - 32. Let y = k - -1.7. Let s = y + 4.9999904. What is s rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 5*s + 40 = 6*p, 2*s = 0. Calculate the highest common factor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 + 1 = -3*u - o, -2*o = 2*u - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**3 - 14*y**2 - 14*y + 12. Let o(s) = 11*s**2 - 19*s + 80. Let g be o(5). Suppose 18*k + 2*k + g = 0. Determine z(k).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 280511, 280501, 280491, 280481?\nAnswer: 280471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 19*y**2 - 27*y - 517. What is the tens digit of b(40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2019, -1965, -1935, -1941, -1995?\nAnswer: -2109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 909328270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -13322 + 13322 + 3*r**2. Let u(i) = -317*i. Calculate u(b(c)).\nAnswer: -951*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8939 is divided by 303.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1746319 is divided by 249470.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -3*j**3 + 5*j**2 - 6*j - 3. Let q(x) = -2*x - 9. Let b be q(-7). Let y(u) = u**2 - u - 1. Give b*y(k) - s(k).\nAnswer: 3*k**3 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -l**3*p**4 - l**3*p - 17*l**3 - 39703*p**4 - 14965*p wrt p?\nAnswer: -12*l**3*p**2 - 476436*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -z - 95*z**2 + z.\nAnswer: -95*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 7*j - 35. List the prime factors of g(16).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1053809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 52 = -46. Solve -206*b - s*b**4 + 15*b**2 + 3*b**3 + 203*b - 13*b**4 = 0 for b.\nAnswer: -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 - -6863416?\nAnswer: 6863421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = m**2 - 4*m. Let i be d(4). Suppose i = 5*x - 6*x. Find b such that x - 2*b**2 + 12\/5*b**3 + 2\/5*b = 0.\nAnswer: 0, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 8216a - 4?\nAnswer: 82166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -3*n**2. Let m(p) = p**2 + p. Let w(r) = 9*r**2 + 6*r. Let c(b) = 6*m(b) - w(b). Calculate c(x(q)).\nAnswer: -27*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.5, -1476, 0.3, -2\/9, 160?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 207 = m - 5*q, -10*m = -9*m + 3*q - 199. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*c**2 + c**2 + 3*c**2 - 13*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Subtract 656.4 from 4935010.\nAnswer: 4934353.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = 2*v - 70, -3*h - 3*v + 23 = 2*v. Suppose 4*d + 32 = 8*d. What is the lowest common multiple of d and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 3*r - 18 = 0. Let b = -2 + 32. Let f = -4 + b. What is the remainder when f is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -7*u + 0*u + 0*u. Let l(i) = -6*i**2. Calculate p(l(d)).\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = w**3 - 7*w**2 - 7*w - 3. Let b be g(8). Suppose -5*h = -15 + 5, -b*n - 5*h + 15 = 0. Solve n - 5 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 113 - 116. Let g(b) = -4 + 2*b**2 - b**2 + 1. Let d be g(l). Let z(y) = -4*y**3 + 6*y**2 + 6. Let n(k) = -k**3 + k**2 + 1. Give d*n(j) - z(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -238.51? (a) 1\/9 (b) -14\/93 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -115, -1, 10, -9688 in decreasing order.\nAnswer: 10, -1, -115, -9688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the first derivative of 1\/16*r**4 + 1\/4*r**3 + 1\/4*r**2 + 6 + 0*r. Determine k, given that i(k) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x**2 + 4*x + 5. Let t be o(4). Suppose 9 = -4*k + t*k + 4*n, 3*k + 2*n - 7 = 0. Sort 4, 0, 2, k in descending order.\nAnswer: 4, 2, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -24*r**3*s**3 - 1422*r**3*s**2 - 13*r**3*s + 16*r**3 + r**2*s + 2*s wrt s.\nAnswer: -144*r**3*s - 2844*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(2\/9)\/k**4)\/((k*k**(2\/3))\/k)**(-2)*((k**(-2\/3)\/k)\/k*k**(-1\/2))\/((k*k*k**(-1)*k)\/k)**(-50) assuming k is positive.\nAnswer: k**(799\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 8*d + 1770. Let k(i) = -6*i - 1774. Give -3*k(j) - 2*q(j).\nAnswer: 2*j + 1782","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Add -6312 and -153152.\nAnswer: -159464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 591250101.\nAnswer: 3, 13, 3163, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40*t + 19*t = -279*t. Let j(p) be the third derivative of 1\/80*p**5 + 17*p**2 + 0*p - 3\/16*p**4 + 9\/8*p**3 + t. Factor j(o).\nAnswer: 3*(o - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3400)\/10)\/(-680)*(-10)\/37?\nAnswer: -5\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*m + 5*k - 5 - 0, -5*m - 4*k + 13 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in 0.56, 2, 4, 5, -41?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 52533 - 33871. What are the prime factors of k?\nAnswer: 2, 7, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7563, 7560, 7557, 7554, 7551, 7548?\nAnswer: 7545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g**4\/2 + 77*g**3 + 1945*g**2\/2 - 1050*g = 0. Calculate g.\nAnswer: -140, -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) be the third derivative of 163*p**6\/24 + 173*p**3\/2 - 33*p**2 - 4. Differentiate l(u) with respect to u.\nAnswer: 2445*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 5 + 0)*(4667*c - 9355*c + 4 + 4677*c)*(6*c + 0*c - 2*c**2 - 4*c).\nAnswer: -44*c**3 + 60*c**2 - 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 20389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43347929 = 70*o - 750634071. What is o rounded to the nearest one hundred thousand?\nAnswer: 11300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2577000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 24781?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 159 minutes before 4:58 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1303870 + 2*s**2 + 1303870.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-29))**(1\/19)*o\/(o\/(o**(-27\/5)\/o*o))*o*(o**(-3\/17)\/o)\/o assuming o is positive.\nAnswer: o**(-13086\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 399 minutes after 2:29 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4375972 is divided by 433.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -3*y - w, 4*y + 3*w = 24 - 10. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33438 divided by -6?\nAnswer: -5573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 634620173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xzzzxxnxzz. Give prob of picking 2 x and 1 z.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 25119487 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -84 - -7?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put together 3.7 and 0.027.\nAnswer: 3.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -50745*k**4 - 60579*k**2 wrt k.\nAnswer: -1217880*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-8)\/(-6)*(-198)\/66. What is the third smallest value in 1\/2, -2, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*c*f*h - 5*c*f - 2*c*h + 19019*c - 10*f*h - 99038*h wrt c.\nAnswer: -2*f*h - 5*f - 2*h + 19019","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -2*t - 25 + 17 + 3*t. Let c be w(5). Which is bigger: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 82 - 403\/(-341)*-110\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -187 + 69. Calculate the remainder when ((-255)\/34)\/(2 + u\/56) is divided by -4 + (-3)\/18 + 97\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 7.06919 and -15.\nAnswer: -7.93081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and -21674\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g be -4 - (-2 - 15\/3). Suppose g - 79 = -2*f. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -1.5066 and -25.4.\nAnswer: -26.9066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 26.19397 and 119?\nAnswer: 92.80603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 332 + -335.74. Let i = -0.26 + m. Let v = 1.0259 - 0.0259. Which is the closest to v? (a) 2 (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -93 = 6*u + 51. Let o(w) = -68*w**3 + 24*w**2 + 48. Let a(v) = v**3 - v**2 - 1. Let n(h) = u*a(h) - o(h). Differentiate n(f) with respect to f.\nAnswer: 132*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5*a**4 - 3*a**3 + 146*a**2 wrt a?\nAnswer: -120*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -20 - -66. Suppose 29 = -j + u. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-30)\/27)\/((-10548)\/810 + 13). Let l = -5 - -3. Is l < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -190 in -2\/5, 0.1, 92?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*d - 3*d - 1 - 4 = 43*p - 39*p, -12*d - 4*p = 68 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from sxxxxsxx.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 269406 smaller than 269408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = 781.97360174 + 651.02646168. Let v = g + -1433. Round v to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 bigger than 173\/4448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -8*q**3 + 16*q**2 - 47*q - 387. Let g(r) = 3*r**3 - 2*r**2 + 5*r + 1. Let p(k) = -3*g(k) - j(k). Factor p(a).\nAnswer: -(a - 6)*(a + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6\/(-8)*56\/(-42). Let b(m) = -4*m**2 - 6*m - 6. Let u(v) be the first derivative of v**2\/2 + v - 39. Calculate h*b(x) + 6*u(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 173499 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 50 a factor of 303324537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 3*m + 24 - 22 - 5*m + 16*m**2. Let k be s(1). Let h = -14 + k. Solve -4*i + 2*i = h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -a - 5*s - 28, 0 = -6*a + 5*s - 52. Let g(k) = -30*k**2 + 12*k. Let u be (-15)\/3 + -1 + 1. Let h(w) = 12*w**2 - 5*w. What is a*h(d) + u*g(d)?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 3*d**2 + 163*d - 140. Let r be k(-54). Suppose 0 = 4*n - 925 - 487. Let b = r + n. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8244 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -i**2 + 32*i - 152. What is the remainder when 106 is divided by b(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 2 v when three letters picked without replacement from ssppvsvsvssssvss.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 22 - -14. Let c = a - 34. Suppose 2*j - 5*t + 9 = 0, 0 = j + 3*j + c*t - 18. Sort 9, -3, j, -4 in increasing order.\nAnswer: -4, -3, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 330 and 462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -14936527.9429 + 14935361. Let q = x - -1167. Round q to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 13 + 37 = 3*x, 0 = -3*h - 15. Let o(k) = -21 + x + 3*k**2 + 2*k - 2*k**2. Calculate the least common multiple of o(-3) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1532*q - 19 - 3*q**2 - 1532*q to the form t + w*q + d*q**2 and give t.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 34 - (18008 - 17994)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o + 29 = -4*d, -o + d = 14 - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -2*(90\/54 - 3234\/(-252))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -4*o**2. Let n(j) = -16*j - 21*j + 48*j. Give n(u(f)).\nAnswer: -44*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that -2*m**5\/3 + 824*m**4\/3 - 11332*m**3 + 353464*m**2\/3 + 388286*m\/3 = 0.\nAnswer: -1, 0, 23, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (7\/(-12)*-4)\/(1820\/2340)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 67, -8, 187, 3, 0, -2 in increasing order.\nAnswer: -8, -2, 0, 3, 67, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + b = z + 23, 0 = 3*b - 5*z - 24. Let y(g) = 31 - 2*g + b + g. What is the remainder when y(0) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from iaahhaiiaa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 222, 774, 1694, 2982, 4638, 6662?\n\"Answer: 184*r**2 + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 0.11 smaller than -1.36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:51 PM and 6:15 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0 - -6. Suppose 4*f - d = 14. Let s = -8 + 13. What is the highest common factor of s and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 125, 251, 377, 503, 629, 755?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2152 divided by 39?\nAnswer: -2152\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the first derivative of 73*t**4\/4 - 48*t**2 - 104. Find the second derivative of f(o) wrt o.\nAnswer: 438*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11010323 + 3?\nAnswer: -11010320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 201809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -3222, -218, -7 in decreasing order.\nAnswer: 2, -7, -218, -3222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2476*n - 28683*n + 3481*n.\nAnswer: -27678*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 45\/270*60\/(-8).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -19.31 + 19.41. Let s = 0.1 - 0.6. What is the closest to t in -6, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 22 - 17. Sort 4, -4, -3, k in increasing order.\nAnswer: -4, -3, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that 2*b**2\/15 - 802*b\/15 + 532\/5 = 0.\nAnswer: 2, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -0*n + n. Let u = 9 - n. Calculate the lowest common multiple of u and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2.2 - 1.8. Let c = 0.3 + 4.7. Sort m, c, -3.\nAnswer: -3, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c + 3*t + 6 = 0, -2*c + c + t = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y**(-2\/5)*y))**(2\/7))**13*(y**(-3\/2)*(y*y*y**(-1\/3)*y)\/y*y*y)\/(y\/(y*y**(-1\/4)*y))**(-41) assuming y is positive.\nAnswer: y**(-11381\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8.91 - 95520.\nAnswer: -95528.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: ((-1518)\/9361)\/(4\/(-37))*8\/54\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -2462 + 4928 - 3*w**2 - 2466. Let d(m) = -90*m. What is d(l(c))?\nAnswer: 270*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -2*i**3 - 13*i**2 - 2*i + 68. Let x be l(-5). Let g(j) be the second derivative of 0 - x*j**2 - 1\/3*j**3 + 5*j. Calculate g(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9696924557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 70*223983.\nAnswer: 15678810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q**3 + 3*q**2 + 4*q - 2. Let x be -1 - (45\/(-5) - -4). Determine m(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5210, -5215, -5232, -5267, -5326, -5415, -5540?\nAnswer: -5707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -6*o + 224. Let f be j(37). Solve -2*l = q + 7, 2*q - 4 + 16 = -f*l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -5 (b) 0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-1)\/(-11))\/((-1)\/2). Let z = -46 - -45. Which is the closest to x? (a) -0.5 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 5, 5\/8, -0.4?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c**3 - 18*c**2 + 2*c - 31. Let q be j(18). Solve -l = -q - 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 154 (base 8) to base 15.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -d**3 - 3*d**2 - d - 9. What is the remainder when j(-5) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1518027?\nAnswer: 3, 7, 72287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3 + 3 + -4 + 675 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -5757 and 0.8.\nAnswer: -5756.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 2311 (base 6) in base 8?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.287 + -5.713. What is the closest to 1 in -1\/9, d, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-46)\/(-8073)*18*(-15)\/20.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000153 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((198\/55)\/9)\/(2\/(-20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 261003235 - 0.4?\nAnswer: 261003234.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/(-35))\/(((-72)\/(-20))\/(-9))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -132 divided by 3.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 511652447 to the power of 1\/2, to the nearest integer?\nAnswer: 22620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*n**4 - 5864710*n**3 - 1719793950380*n**2 - 30954390969960*n.\nAnswer: -5*n*(n + 18)*(n + 586462)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -275*v + 2214. Calculate the least common multiple of 3702 and d(8).\nAnswer: 25914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*l = -41*l - 4*j + 1547, -3 = -j. What is the remainder when l is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**2 + 17*w + 14. Let p = -22 + 40. Let n be y(p). Let c(a) = -a**2 - 3*a. Determine c(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c**2 + c + 7. Let g(b) = -b - 4. Determine 7*g(m) + 4*y(m).\nAnswer: -4*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, i: 7, b: 7}. Give prob of picking 1 i and 1 e.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/(o*o*o**(1\/9)\/o*o*o))\/o)**(-41)\/(o**(-1\/16)\/o*o*o*o\/(o**(-1\/31)\/o)) assuming o is positive.\nAnswer: o**(556151\/4464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1465 - 1434) + 1 + -5.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vjjjvvvjvvvvvv. Give prob of sequence vv.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1631434298 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by 205\nAnswer: -4\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 18191078551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 + 0)*(2*p - 4*p + p)*((p - 3*p**2 - p)*(-1 + 1 - p) - 3*p**3 + 2*p**3 + 0*p**3 - 2*p**3 + p**3 + 3*p**3).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let -u**5\/5 + 47*u**4\/5 + 53*u**3 - 19631*u**2\/5 - 31416*u + 35280 = 0. What is u?\nAnswer: -12, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*h + 454 - 1022 = -1720. Calculate the smallest common multiple of h and 12.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -12 (base 5) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 744 - 239. Suppose 0 = -4*n + 2255 + r. Let g be 5\/(-2)*(-24)\/n. Do g and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 139 minutes before 12:38 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -101.9 - -101.89101. Round w to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z + 0*z + 20 = -2*i, -2*z + 4 = -3*i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1372 and 12497842.\nAnswer: 174969788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -0.3 * -388713\nAnswer: 116613.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(500) + sqrt(5))*4 + 4)**2.\nAnswer: -608*sqrt(5) + 28896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -11222091*s**3 - 2314701*s**2 + 2?\nAnswer: -67332546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = k - 6. Let q be ((-50)\/(-20))\/(1\/k). Solve -q*a + 17 = 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -5*n + 57. Let h be q(9). Solve 0 = -14*k + 11*k - h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4182 + -2205. Suppose m + s - 402 = 0, -3*s - w - 41 = -5*m. Suppose -5*g - 470 = 4*c - 9*c, -4*c + m = 5*g. Does 27 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 17564997 to the nearest integer?\nAnswer: 4191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -2*v**3 - v - 2. Let x(j) = -j**3 + 4*j**2 - j - 8. Give -2*w(u) + 2*x(u).\nAnswer: 2*u**3 + 8*u**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be 7\/((4\/8)\/(2 - 1)) - -1. Solve n*j + 7*j = 88 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25.681 rounded to zero decimal places?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*t**2 + 486225*t + 486228.\nAnswer: -3*(t - 162076)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 166182217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 60207670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -26228940 rounded to the nearest ten thousand?\nAnswer: -26230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 34*o + 45. Calculate w(6).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*m + 2*m + 20*m + (0*m - m + 2*m)*(3 - 1 + 2))*(-2*m**4 - 4*m**4 + 3*m**4).\nAnswer: -54*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = -15 + 14. Let h = -8 + 4. Put j, h, 2 in decreasing order.\nAnswer: 2, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, l: 4, b: 2, h: 1, a: 1}. What is prob of sequence hd?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j + 7*g - 11 = 2*g, 5*g = j - 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 4290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.32 and -13?\nAnswer: -17.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply 31835 and 166.\nAnswer: 5284610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/((((-8)\/(-1278))\/((-436)\/(-327)))\/((-2)\/3))?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/3)\/(110\/(-770)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = n**3 + 8*n**2 - 11*n - 15. Calculate the remainder when 3 is divided by m(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 2687449876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 70629263.58 plus -0.04?\nAnswer: 70629263.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-1\/4))**27)**(-46)*(((v\/(((v\/(v**(-1)\/v)*v)\/v)\/v))\/v)**(-1\/14))**(-50) assuming v is positive.\nAnswer: v**(4247\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (17\/(357\/(-49)))\/((-1)\/3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -17*g + 4. Let d(y) = -34*y + 9. Let s(r) = -2*d(r) + 5*p(r). Let w(v) = 9*v - 1. What is -6*s(m) - 11*w(m)?\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j\/(j*j\/(j\/(j\/((j**(-8\/7)\/j)\/j)*j*j))*j*j)*j*j*j)\/j)\/j)\/j**(5\/6)*j**(2\/11)\/(j**14\/j) assuming j is positive.\nAnswer: j**(-9607\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 56 + -3 - 100962\/2133?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (35 - (-18 + 36)) + -16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 1 = 5. Suppose 0 = g*c - 4*c. Suppose -3*y + 3*f - 5*f + 26 = c, 0 = y - 2*f - 14. What is the remainder when y is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) be the first derivative of r**6\/6 - 3*r**3 + 5. Find the third derivative of k(z) wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -417 (c) 4 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 284663920?\nAnswer: 2, 5, 3558299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 70*z - 980. Give m(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4172622 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 572980061 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*x + 2*g + 26, -3*g - 14 - 21 = -4*x. What is the remainder when 54 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 4*x**3 + 6*x**2 + 64*x - 89. Let j(v) = -7*v**3 - 11*v**2 - 128*v + 180. Let m(a) = -11*f(a) - 6*j(a). Differentiate m(n) wrt n.\nAnswer: -6*n**2 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 61223 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 644 minutes before 7:16 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a - 5*w - 436, -2*w = 3*a + 3*w + 1308. Let q = -380 - a. Calculate the smallest common multiple of 21 and q.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -169*v - 288 = 396 + 499 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -2*y**3 + 40*y**2 - 35*y + 5. What is the remainder when u(19) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -14*g + 64. What is v(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + 1 + -9 - (-1 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 11*m**2 - 2*m + 444. Let x(d) = 5*d**2 - d + 222. Calculate -6*j(n) + 13*x(n).\nAnswer: -n**2 - n + 222","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.11046 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -221771 (base 10) to base 16.\nAnswer: -3624b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 2 (b) 1 (c) 4 (d) 3\/7 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 117 and 12051.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1088) + (sqrt(1088)*2 + -1)**2.\nAnswer: -24*sqrt(17) + 4353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3 + -2 + 3\/(-3). Let y(w) = 3*w + z*w - w - 4*w. Let a(j) = 3*j. Give y(a(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 5*a = -23 + 6, -4*p + 2*a + 26 = 0. Suppose -5*z = -4*y + 36, -y = z + p*y - 16. Let s(f) = -3*f + 3. List the prime factors of s(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:23 AM and 11:01 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 28697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tyotooyto. Give prob of picking 1 t, 1 y, and 1 o.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 312 = 2*o, -o - o - 314 = 4*c. Let l be (-150)\/4*15846720\/o. Round l to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 3\/10 of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-2))**(-4\/13))**(-25)*((p*p**(2\/5))\/p)**(-6\/13)*(p*p\/p**(-1\/4))**17 assuming p is positive.\nAnswer: p**(5897\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*d**6 + 50*d**3 - 9*d**2 + 8 wrt d.\nAnswer: 240*d**3 + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a**3 - a**2 - a + 11. Let h(x) = x**3 - 10*x**2 - 4*x + 40. Let t be h(10). What is g(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:25 PM and 4:09 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 183 + 165. What is the greatest common divisor of d and 812?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 2*o + 42. Let t(v) = v + 14. Let b(p) = -4*s(p) + 11*t(p). Let q be b(3). Is q - -2 - -2 - -1320 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.5, -1.66724, -1?\nAnswer: -1.66724","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 634 minutes before 3:30 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**2 + 3*j + 6400000. Let s be o(0). What is s rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1216753*-5.75.\nAnswer: 6996329.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r\/(r**(1\/3)\/r*r*r)*r))\/r)**(-1\/36)*(r**0*r)**(-25) assuming r is positive.\nAnswer: r**(-1349\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 52 - 48. What is the nearest to 3\/5 in -5\/3, t, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hrhhrrrrhr. What is prob of sequence hrh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1973057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 11222224 (base 5) to base 6\nAnswer: 2102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 150*u - 468*u + 153*u + 160*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(18))*3.\nAnswer: -3 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by 32.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2479 not equal to 448705\/181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2021*k - 728 = 1930*k. Put k, -9, -54 in descending order.\nAnswer: k, -9, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -1 (b) 8 (c) 3 (d) 4 (e) -329\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(((928\/(-256))\/(-29))\/(60\/(-24))).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -43844*f = -43826*f + 2*h + 80, -30 = 2*f - 4*h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = 5*c - 98, 3*c - 61 = -3*j - j. Suppose c*f - 2206 = -439. Calculate the highest common divisor of 155 and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7601 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/115 in 2\/3, 5\/7, -13.8, 5\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is c + -d4?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 34 + -19. Calculate the highest common divisor of 75 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 27838 and 37771676?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 14 + -9. Put 3, 2, s in descending order.\nAnswer: s, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*1*(-11)\/(-22)*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -36\/31 - -1270\/1147. Put 4, 0.1, t, -5 in decreasing order.\nAnswer: 4, 0.1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 808197, 1616413, 2424629?\nAnswer: 3232845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 4*a**3 - 19*a**2 + 6*a + 6. Let q(g) = -g**2 + g + 1. Determine 6*q(c) - z(c).\nAnswer: -4*c**3 + 13*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49 = 4*c - 7. Suppose 0 = -20*a + c*a + 1872. What is the remainder when a is divided by 53?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -127 = -16*n + 17. Let f(p) = n*p - 24*p + 13*p. Let k(u) = -33*u**2 + 2*u. Determine k(f(b)).\nAnswer: -132*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2016 > 1973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 39 and 468?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q**3 - q**2 + q - 18. Let j be c(0). Let h(a) = 2*a + 45. Let p be h(j). What is the third derivative of 38*b**2 + 27*b**3 + p*b**2 - 19*b**2 wrt b?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -31453746 divided by -3.\nAnswer: 10484582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 3566.177 nanograms to milligrams.\nAnswer: 0.003566177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -420134\/37, -2\/13, 1, 0.02?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 414 = -4*m + 3750, 2*m + 5*z - 1652 = 0. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -10 or 47?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(5000) - (sqrt(5000) - 5*-1*sqrt(5000) - sqrt(5000)) - sqrt(5000))\/((sqrt(10) + -4*(sqrt(10) - (sqrt(40) - sqrt(10))))*-4).\nAnswer: -25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 198915536*d**2*l + 103120665*d**2 wrt l?\nAnswer: 198915536*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o be 4 - (1 + (-190)\/(-60)). Let f = -0.03 - 0.17. What is the second biggest value in 0.1, o, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 840274.9nm?\nAnswer: 0.8402749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {l: 5, r: 9}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 8, r: 7, s: 3}. What is prob of sequence szsr?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.02, 0, 0.3, -0.3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 969 - 605 = 91*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be 245\/14*4\/5 - -3. What is the greatest common divisor of 119 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the first derivative of y**3\/3 + 10. Let b(c) = 16*c**2. Determine k(b(u)).\nAnswer: 256*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 25295.91 millilitres?\nAnswer: 25.29591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-25)\/75 + (-1)\/((-9)\/21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 291 = u. Let b = -38 + u. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00372757 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 240 is divided by 2 + 38 + -5 + 0.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -187951*g**3 + 27898*g - 66 wrt g.\nAnswer: -1127706*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 76 a factor of 13658734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -3536*r + 67840 = -144*r for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.3, 0.07, -5\/2, -7\/6, -1, -2, -102?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -90, -98, -120, -162, -230?\n\"Answer: -b**3 - b**2 + 2*b - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*h - 0*h - 16. Let v = 3 + h. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 19111, 11347, 3583, -4181, -11945?\n\"Answer: -7764*m + 26875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -29\/3 (b) -0.01 (c) -2\/5 (d) 0.5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -u - u. Suppose 0*v + 6 = r + 5*v, -3*v = r - u. Factor -k**3 - 12*k - k**2 + r*k - k**2.\nAnswer: -k*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-264)\/44 - (-560 - 0)?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 774 and 3?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -5141.28 less than 264618?\nAnswer: 269759.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = -20 - -56. Suppose -22*g + 781 = 187. Calculate the greatest common factor of g and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 155 minutes before 12:33 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 10327, 20672, 31033, 41410?\n\"Answer: 8*y**2 + 10321*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 + -211020201201022012?\nAnswer: -211020201201022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -2*c + 1. Let u be w(-1). Suppose i = -u*n - 5 - 12, 3*i + 26 = -4*n. Let y(g) = g**2 - g - 13. Is 5 a factor of y(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*p + 70 = 48*p. Suppose 17*y = -5*l + p*y + 50, 4*l = 3*y + 40. Put 3, -2, l, -4 in ascending order.\nAnswer: -4, -2, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o**3 + 88*o**2 + 42*o - 3937. Calculate j(-87).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*q**3 - 2*q**4 + 9*q**2 - 18*q**2 - 2 + 4*q**2 + 3*q + 4*q**2 to the form r*q**4 + i + x*q**3 + c*q**2 + n*q and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 3230605 (base 11) in base 6?\nAnswer: 321434543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 108*o - 44. Determine r(-3).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3545 (b) -3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 5*o**2 + 4*o - 7. Let c(z) = -z**2 - z + 2. Calculate 9*c(n) + 2*f(n).\nAnswer: n**2 - n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 23516 and 604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 903 a factor of 378915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + (-3 - -6 - 1) - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 0*o - 429 = 0. Let t = -97 - o. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 393 divide 14389129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 13240427*u. Let i(n) = 4*n. Give i(s(a)).\nAnswer: 52961708*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 874?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y + 16. Let d = 10 - 20. Let g be a(d). Find the third derivative of h**g + 5*h**6 + 5*h**6 + 2*h**2 + 7*h**2 wrt h.\nAnswer: 1320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 + -1 + 5 + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -4, -532, 444, 1 in decreasing order.\nAnswer: 444, 4, 1, -4, -532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4\/(-8) - 15\/(-10). Let f be ((-4)\/3)\/(s\/(-3)). List the prime factors of f\/(-14) - 4011\/(-147).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:21 PM and 2:19 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3974059 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 13) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -22\/5 or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 85 a factor of 233070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 5, 12, 19, 26?\n\"Answer: 7*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3, 5, 0, -0.4, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from jeea.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0.4 times -1.1\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 40\/3 + 8\/3*j**2 + 52\/3*j - 4\/3*j**3.\nAnswer: -4*(j - 5)*(j + 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -734*w + 674*w = -300 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0010083 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 15\/274? (a) -2 (b) 0.1 (c) 31 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1146412.\nAnswer: 2, 17, 23, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 893 - 251?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7938 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -75 + 78. Let l be 4\/(1\/(t\/2)). Solve 7*z = l*z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r, 1 n, and 1 z when three letters picked without replacement from zrxrrrxn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -10? (a) -0.2 (b) 0.023 (c) -2 (d) 2\/9 (e) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -67*r**3 - 4*r**3 + 73*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 52\/24 + ((-20)\/(-15) - 2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1137 is divided by 143.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -2430 (base 8) to base 14\nAnswer: -692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 11802 - 11777. Sort 1\/4, -0.1, 5, l, -5.\nAnswer: -5, -0.1, 1\/4, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 46720 and 17593.\nAnswer: 11259520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 39 divide 6744\/(-42)*-7*21\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 1167840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = -440\/931 - -18\/49. Let d(p) = -8 + 3*p + p - 3*p. Let q be d(8). What is the second biggest value in -5\/6, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -10*x**3 + 14*x**2 - 12*x - 12. Let n(l) = 1 - 423*l + 860*l - 436*l - l**2. Give -12*n(b) - v(b).\nAnswer: 10*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) -0.5 (c) -0.24 (d) 7 (e) -1.2 (f) 2 (g) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 4*w + 24. Let y(h) = -3*h - 20. Let x(j) = -10*s(j) - 12*y(j). Let d be 2\/3 - 21\/(-9). Let c(p) = p - d*p - 3*p. Calculate c(x(z)).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2329*w + 2329*w - 179*w**2 + 123*w**3 wrt w?\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 11*c. Let y(i) = -5*i + 3*i - i + 4*i. Determine o(y(h)).\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -5, 49, -0.09613, 0, 5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -61 - (3 - 19) - (6 - 0 - -1 - 6).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 63*s**2 - s**3 + 3 + 2*s - 2*s - 3*s - 61*s**2 to q*s + k*s**2 + a*s**3 + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 + (8 + -39 - -55)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**3*w)\/w**8)**(5\/11)\/((w\/w**(-2\/7))\/(((w\/w**(-4))\/w)\/w*w*w)*w**(-5)\/w**4) assuming w is positive.\nAnswer: w**(839\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/24 - 8855\/(-1288).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 30175 (base 11) to base 10\nAnswer: 44126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 3*d + 2 + 45 = 0, 4*d = -5*l - 135. Let z = l + 45. What is the remainder when 54 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 966*j**3 + 4*j**2 + 3*j - 7. Let q be o(-5). Let y = 22066 + -2738. Let s = y - q. What is s rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 4780334 - -2?\nAnswer: 4780336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-40 + 85 - 31)*(-4 + 4 - q) - 2 + 2 - 2*q - 3*q + 4*q + 2 + q + 2*q + 0*q - q.\nAnswer: -13*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(1*2*sqrt(130) - sqrt(130) - -6*sqrt(130)*2)\/(2*(-1*sqrt(160) + sqrt(160) - sqrt(160)))*-1.\nAnswer: -13*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 2*z**2 + 92. Let m be j(11). Let u = -331 + m. What is the greatest common divisor of 2 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -276, -1918, -6056, -13836, -26404, -44906?\n\"Answer: -191*u**3 - 102*u**2 + u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -28139*k**3*w**3 + 182*k**3*w**2*y**2 - 119*k**2*w**2*y**2 + 15*k**2*w**2*y - 205*k*w**3*y**2 - 2*k*w**3 wrt k.\nAnswer: -168834*w**3 + 1092*w**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -6, -15, -30, -51, -78, -111?\n\"Answer: -3*a**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -26*h**2*u**3*y - 41*h**2*u**2*y + h**2*u - 3*h**2*y - 3*h*u**2*y - 4*h*y - 70*u**4 - 2*u**3*y wrt u.\nAnswer: -156*h**2*y - 1680*u - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x**3 - 2*x**2 + 2*x + 1. What is d(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 567, 530, 455, 324, 119, -178?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/30)\/(27\/162)*(-10)\/72\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1626347 is divided by 126?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 6*u**3 - 18*u - 46. Let b(m) = 3*m**3 - 9*m - 23. Let w(p) = 9*b(p) - 4*h(p). What is the first derivative of w(o) wrt o?\nAnswer: 9*o**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6943, 11709, 16475?\nAnswer: 21241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/(4 - 2)*-17 + 0. Let w = -69 - -71. Suppose 0*v - 3*p = -3*v + 9, 0 = v + 2*p - 3. Solve -t = v*i - w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence emp when three letters picked without replacement from meemp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 96914056277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-6)\/(-4))\/(-3)*8\/1. Let p be -6 - -19865 - (-2 - y). Suppose 46*t - p = 43*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((j*j*j**(2\/5))\/j)\/(j**(-6\/11)*j))\/(j\/j**(-3)*j**(3\/5)))\/(j**(-2\/9)\/(j*(j\/j**(-1\/2))\/j*j*j)*j*j\/(j*j**(-1))*j*j**(-2\/11)\/j) assuming j is positive.\nAnswer: j**(-1733\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from njnnjiwnvjvwnnjnp. What is prob of sequence vvi?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1473 + 1233.8. Let m = 240 + t. What is the nearest to 0 in m, 4, 1, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 2*l + 12. Let b be j(0). What is the third derivative of -8*z**5 + b*z**5 - 16*z**2 + 2*z**2 - 9*z**5 wrt z?\nAnswer: -300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 48\/5 of a microgram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 587703885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is a33 - -42?\nAnswer: a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oood when four letters picked without replacement from dnooogongoog.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**2 + 22*u - 13. Does 6 divide g(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 393.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*i + 4*q - 1111606, 0 = 5*i - q - 2275604 - 503378. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 3573 = -28041. Let k = m - 2024729\/331. Is k >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-900)\/(-96) - 9*(-10)\/(-240). Let z = 33 - 15. Let s = z + -13. Sort p, s, -2 in descending order.\nAnswer: p, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, 1\/9, 2\/23, -6\/7, -2 in increasing order.\nAnswer: -2, -6\/7, 2\/23, 1\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -q, 3*b + 2*q - 5 - 59 = 0. Does 5 divide ((b\/9)\/4)\/(6\/1233)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -k**2 - 3. Let n(c) = -1. Let s(p) = -1. Let w(r) = -3*n(r) + 4*s(r). Let b = -9 - -3. Let f be 2*(b\/(-2))\/6. What is f*a(u) - 3*w(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i + 3. Let g be v(3). Is (g - 3\/(-6))*226 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = -2*i - 2*r, r - 4 = 4*i + 14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/12 + (-278)\/(-12). Suppose 4*b - v = -7. Suppose 3*i - 23 = -b*h + 21, -32 = -i + 3*h. Calculate the highest common divisor of i and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes before 8:54 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -2*j + 61. Let o be c(-35). Let g = -128 + o. Let t be (-4 - -2)\/(2\/(-8)). Solve w + 4*y = g*y, 5*w = 3*y + t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 528 minutes before 8:56 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = w**3 + 2*w + 2. Let y be g(0). Let o be (-1 + 0)*1*0. Find the third derivative of o*p**2 - 6*p**3 - 3*p**5 + 3*p**y + 6*p**3 wrt p.\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -9*t**2 - 80*t + 163*t + 1 + t**3 + t**3 - 81*t in the form v*t + h*t**3 + a + m*t**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, q: 2, z: 1}. Give prob of sequence tz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4132.\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n = 2*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(121)*-1*4 - (sqrt(121) - 5*2*sqrt(121)))\/(sqrt(1100) + (sqrt(1100)*-4*-5 - sqrt(1100)) - sqrt(1100)))**2*-2.\nAnswer: -11\/722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23543701.\nAnswer: 4211, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 177093 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 6) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3288017 not equal to 3287995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t - t - 25 - t + 4*t. Let o be a(0). Let b be (-10)\/o - 13500002\/5. What is b rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bkb when three letters picked without replacement from {b: 2, k: 1, a: 3, e: 1, h: 3}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -0.28 at most -1.575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the first derivative of 0*w + 0*w**2 - 4 + 0*w**4 + 0*w**5 + w**3 + 1\/2*w**6. Find the third derivative of r(j) wrt j.\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 16 + 0. Let d = 20 - 31. Let y = d + u. Which is the smallest value? (a) y (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the third derivative of -t**6\/320 + 1017*t**5\/160 - 344763*t**4\/64 + 38958219*t**3\/16 - 611*t**2. Determine o, given that a(o) = 0.\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -3, 0, -9, -24, -39?\n\"Answer: s**3 - 12*s**2 + 32*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -213 - -358. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*f + 116 + 104. Is 11 a factor of (72\/60)\/((-4)\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes after 11:42 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-2)\/(-6 + 4) - -60.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -64*q - 48. Is t(-8) a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3.2 in 3, 14, -0.1, 11, -3\/10, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4465797.\nAnswer: 3, 7, 29, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -i - 2*i + 27*i**2 - 63*i**2 + 3*i + i + 40*i**2.\nAnswer: 4*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 249082 is divided by 6920.\nAnswer: 6882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -5*s + 5 - 12*s + 3*s**2 + 3 + 5 + s**3. Let d be z(-6). Let y(h) = -h**2 + 9*h - 7. Let p(r) = -2*r**2 + 13*r - 10. Calculate d*y(o) - 5*p(o).\nAnswer: 3*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 135343 (base 8) in base 10?\nAnswer: 47843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 0*m + 2*m**4 + 0*m + (2*m - 5*m - m)*(734 - 734 - 23*m)*(8*m**2 + 4*m**2 - 5*m**2) in the form w*m**3 + q*m**2 + l + h*m + p*m**4 and give p.\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {a: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 3*w**2 + w - 2. Let y be j(-2). Let a = 10 + 0. Let m = a + -6. Solve 0 = m*o + 3*d + 11, 3*o - y*d + 2 = -4*d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m + 16 = -2*z, -609*m + 607*m + 9*z - z = -24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: ((80\/30)\/((-728)\/156))\/((-17)\/(-14))\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-21*i - 10*i + 8*i + (-2 - 2 + 3)*(-i - 4*i + 6*i) - 2 + 2 + 2*i)*(-1 + 1 - i) to j + m*i + n*i**2 and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = -20\/9 - -26\/9. Let j(g) be the first derivative of i*g**3 + 0*g**2 - 1 + 1\/4*g**4 + 0*g. Find the third derivative of j(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2754) - -1*sqrt(2754)) + sqrt(2754) + (-1*sqrt(102))\/sqrt(3))\/(sqrt(200)*2*-6).\nAnswer: -13*sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3\/1 + 1\/(-1). Let r(i) = i**2 - 2*i - 1. Let o be r(z). Which is the closest to o? (a) 1\/6 (b) 0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/27)\/(-1)*(500\/(-20))\/150?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6230 and 10947.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.019 in -1, -548, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-631)\/11 + (124\/341)\/1?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:19 AM and 10:37 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 9263*h - 9225*h = 1254 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g**(1\/3)*g)\/g)\/g**(5\/3)*g**(1\/4)\/g**(-1\/2) assuming g is positive.\nAnswer: g**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sum -1.1 and 9.304815788.\nAnswer: 8.204815788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4.03 + -0.03. Are i and 0.15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:35 PM and 11:14 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(65)\/(sqrt(5)*1) - (sqrt(13) + -2*sqrt(13)*1).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - j + 2*j - 55 = 0, -2*j + 44 = 4*h. Solve -3*q + 15 = -3*g, -3*q + 4 = g - h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -11*t + 7*t - 24 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v - 9 = -2*z, 155 = -5*v + z + 143 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-6)\/4)\/((-9)\/12). Suppose -c*v - v + 15 = 0. Let d = -3 + v. Solve -4*a + 3*a - 14 = 2*u, -d*u + 2 = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xooq when four letters picked without replacement from fxoxkooozzzkkqozx.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -43.273 (b) -2\/13 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 203 - 254 = -368*v + 2525 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = -2*v + 5*a, 0*v - 4 = 2*v + 3*a. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-15)\/(9\/3)*(-3 - 4). Suppose -5*j + 2*t = -2*j - 34, -16 = -4*t. Calculate the greatest common factor of j and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i + 2. Suppose 4*x = 5*t + 50, x + 2*t + t - 4 = 0. Let g(f) = -3 - x*f + f + 4*f + 4*f. Give 4*g(u) + 7*z(u).\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 43*b**3 + b**2 - b - 1. Let d(s) = 6698*s**3 + 5*s**2 + 1064*s - 5. Let w(k) = d(k) - 5*z(k). What is the second derivative of w(g) wrt g?\nAnswer: 38898*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 30084 or 30081?\nAnswer: 30081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -50*c + 9990 + 34260 - 6100. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -459*s + 28982. Determine o(63).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -5 (b) -1 (c) -1.277\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*w**4 - 1760*w**3 - 5304*w**2 - 5312*w - 1772.\nAnswer: 4*(w - 443)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17934 is divided by 195?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = -5*x - 27, 1 = -m - 0*m + x. Let f be 0*(-2)\/m - 1794. Does 20 divide f\/(-30) + 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1704 a factor of 279528404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:23 AM and 4:19 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 49077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 3 + 1 + (-2 - 5 + 5)*(-5 + 4 + 4) + 0 + 1 + 1)*(-u**2 + 0*u**2 - 4*u**2).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -m**4\/9 - 2017*m**3\/9 + 673*m**2 - 6059*m\/9 + 2020\/9.\nAnswer: -(m - 1)**3*(m + 2020)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -142*l - 126*l + 1608 = 0. Solve -3*x = -x + 5*m - 4, -3*x + l = 5*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 7, j: 3}. Give prob of picking 2 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 3628*z + 8. Let q be m(3). Suppose -10*l - q = -14*l. Suppose -g + l = b, 3*g - 4*b = 5*g - 5446. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -1866, -1869, -1872?\n\"Answer: -3*p - 1863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be 180\/42 - 8\/28. Suppose t*q = -x - x, -x = 5*q. Let r(d) = -2*d**2 - 3*d - 1. Let u(n) = -3*n**2 - 5*n - 1. Let m(j) = -5*r(j) + 3*u(j). What is m(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*g + 120 = 15*g. What is the greatest common divisor of g and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 21 = -5*f - 6, 0 = 4*k. Suppose -2*u + 5*u + 9 = 0. Let w be 0 - (-1 - 0) - u. Solve -w*s = f*x, -3*x - 6*s + 3 = -s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -165391*r**3 + 82477*r**3 + 83560*r**3.\nAnswer: 646*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, w: 5, t: 2, j: 1, a: 3, z: 3}. What is prob of sequence zw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -196, -39, 648, 2117, 4620, 8409, 13736?\nAnswer: 20853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1530, -3062, -4598, -6138, -7682?\n\"Answer: -2*b**2 - 1526*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3, -8, -1789, 8, 0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -117*z - 72*z + 1153740 = -66*z. What is the greatest common divisor of z and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8334539 to the nearest integer?\nAnswer: 2887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Divide 1314360089 by 1.\nAnswer: 1314360089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -2961467.4 to the nearest ten thousand.\nAnswer: -2960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2.612 + 2.522. What is the third smallest value in -2, 5\/12, 4\/7, o?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*q**2 + 543*q**3 - q**2 - 2*q**2 - 241*q**3 - 848*q**3.\nAnswer: -546*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = -248\/171 - -14\/9. Which is the biggest value? (a) -2 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -31311480, -31311472, -31311464, -31311456?\n\"Answer: 8*u - 31311488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1711023.\nAnswer: 3, 643, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) be the first derivative of -o**4\/4 - 11*o**3\/3 - 5*o**2 + 2*o - 25. Let h be s(-10). Differentiate -5*a**2 - 12*a**h - 12 + 4 wrt a.\nAnswer: -34*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1472 + 1?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes after 7:34 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z**4 + 9540*z**3 - 15*z**2 - 28610*z + 19080 = 0. What is z?\nAnswer: -1908, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 35 - (-22 + 70) - (6 - 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 135*o - 1473. What is the remainder when v(12) is divided by 96?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7339 = -5*o + 4*l + 7323, -2*o + 4*l - 16 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - 0 - 0 - -4) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-556)\/1251*(-6)\/20*-1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-81)\/36*(4 - (-88)\/(-21)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -3480096, -3480044, -3479952, -3479814, -3479624?\n\"Answer: r**3 + 14*r**2 + 3*r - 3480114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -95069472, -95069471, -95069470?\nAnswer: -95069469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 61890086 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 4*m = 3*m - 145, -4*m + 284 = -4*c. Is 20 a factor of c*(16\/(-6))\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 466238817.\nAnswer: 3, 11, 4709483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = 31 + -16. Suppose 3*s + z = 0, s = -3*r - 4*s + 128. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 78.53172 decades?\nAnswer: 9423.8064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/317, -0.4, -3, 33475?\nAnswer: -1\/317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -v**2 - 3*v - 3. Let p(l) = -8*l**2 - 12*l - 17. Calculate -20*c(j) + 5*p(j).\nAnswer: -20*j**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 3\/4, -4\/3, 2\/9.\nAnswer: -5, -4\/3, 2\/9, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -166 + 827. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30879354 bigger than 0.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*n + 1740000 = -30*n. Round n to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = -7 - 2. Suppose -4*n = -4*k - 2*n + 10, 5*k = -n + x. Suppose -p = -k*p + 22. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 49*a**2 - 1479*a - 24808. Determine s(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (20 + 12*r - 7 - 14)*(-3 + 2 + 2) to g*r + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t + b - 8 = 0, -5*b - 146 = 4*t - 116 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:23 PM and 4:13 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/6 - ((-3263)\/390 - -9). Let o = -6 - -4. What is the third biggest value in 1, o, j, 1\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -75*m + 1536 + 26814. Calculate the remainder when m is divided by 62.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 1 m, and 1 p when three letters picked without replacement from {p: 2, m: 1, c: 1, o: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1610? (a) 2\/17 (b) -12 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 19, 0.4 in descending order.\nAnswer: 19, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2938 at least as big as 710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24990248 is divided by 780945?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c - 2*d - 8 = -0*c, 0 = d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -29100, 6, 0 in decreasing order.\nAnswer: 6, 0, -29100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.4, 10, 127.6, 15?\nAnswer: 127.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 16*g - 16 + 11*g - 5 - 26*g in the form s + z*g and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*d - 6 = 3*w, -9*d + 12*d - 4 = 5*w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*g = 11*g - 45. Let t be (g\/(-6))\/(3\/2). Suppose -11 = -3*i + 1. Put 5, i, t in descending order.\nAnswer: 5, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uxx when three letters picked without replacement from {x: 2, u: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: ((2 + -4)\/(-2))\/((-91)\/39)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -42 - -42.2. Sort 3, -5, k in decreasing order.\nAnswer: 3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -5456, -10861, -16264, -21665, -27064, -32461, -37856?\n\"Answer: d**2 - 5408*d - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 274 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 175\/(-125)*10*1\/((-8 - -3) + 6)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the first derivative of p**5\/10 + 2*p**4\/3 + 4*p**3\/3 - p - 3. Let x(m) be the first derivative of c(m). Let x(y) = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 14819211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*u + 4 - 4)*(957*u - 8 + 8 - 55*u) to n + x*u**2 + m*u and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b - 14 = -3*q, 5*q + 0 = b + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 7 and 34?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((-2*sqrt(68)*2)\/(-2*(sqrt(4) + sqrt(36)\/sqrt(9) + sqrt(4))) + 2).\nAnswer: 6 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.19117 to two dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be 5\/2*102\/45*6. Suppose 16 = -2*s + 2*j, -5*s + 4*j = j + f. Let d(c) = 4*c + 2. Give d(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6409, 1, -7, -45, -8 in decreasing order.\nAnswer: 1, -7, -8, -45, -6409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -643 - -595 - (21 + -5).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 - 1.1. Let x = 4 - 2. Let f be (x - 5) + 13\/4. Sort f, v, -4\/9 in descending order.\nAnswer: f, v, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/(1*1\/5). Let t be (1 + 9)*(-2)\/m. Let w(u) = -4*u**2 - u - u + 5*u + 3*u**2. Calculate w(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 79 a factor of 830147818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 1\/24 of a minute?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the first derivative of -w**4\/20 - 2*w**3 - 29*w**2\/10 - 935. Factor o(g).\nAnswer: -g*(g + 1)*(g + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5 + 40?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -1320*l + 39601. Calculate a(30).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (96\/30)\/((-6)\/15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 19637675 to the power of 1\/2, to the nearest integer?\nAnswer: 4431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-55 - (0 - -1)) + (204 - (-63 - -275))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l**3 + 5*l**2 - 2*l - 6. Let j be r(3). Let b be (-2)\/j*(14 + -29). Suppose b = 2*n + 5*p - 4, -2*n - 2*p + 18 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i**3 + 6*i**2 - 6*i + 7. Calculate the least common multiple of b(-4) and 1.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 113 (base 5) in base 10?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.8881 - 0.1119. Which is the biggest value? (a) -0.14 (b) -3 (c) s (d) 0 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at least as big as 326\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 67551 to the power of 1\/2, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*n + 1613 - 828 = 915 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 383 + -272. Suppose 4*v + 3*y - u = 0, 0*y + 3 = 3*y. Let b = -1 + v. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 2*d - 36. Let x be s(18). Solve -2*l + l - 1 = x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 0.3, 9844400 in decreasing order.\nAnswer: 9844400, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 592 is divided by 60.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1\/4))**(-16\/3)\/(k*k**(-3\/5)*k*k*((k*k**(-9))\/k)\/k*k) assuming k is positive.\nAnswer: k**(119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l**2 - 8936*l - 1325969. Determine b(-146).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, c: 1, e: 1, u: 1, v: 2, w: 2}. Give prob of picking 1 c and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = -22.5 - -15. Let d = -7.4 - b. Let z = -3.22 + -0.78. What is the third biggest value in z, 0.059, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) be the third derivative of -y**4\/6 - y**2. Let u(p) be the third derivative of -p**4\/12 + 11*p**2. What is t(u(z))?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 3*k = 4 + 12, -2*c - 4*k = -8. Let m = c + -2. Let y be ((-3)\/(-2))\/(m\/52). Calculate the highest common factor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 155 minutes before 2:51 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = 5*z - 4221, 3*f + 4522 = 4*z + 1129. Suppose -z = 16*a - 25*a. Suppose -2*s + a = -96. List the prime factors of s.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -61 + 64 - (13 + 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -89 - (-185 + 52 - -73)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.1 times 27800564\nAnswer: -2780056.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = -5*q - 0*u + 2618, 2*u + 8 = 0. Let k = -365 + q. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1173095?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4 - 36)*-2*6\/30. What is the remainder when 294 is divided by (60\/i)\/(332\/80 - 4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 782953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10101111 - -110101?\nAnswer: 11100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 753886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide (552\/28)\/((-2)\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -189, -1441, -4833, -11433, -22309, -38529?\n\"Answer: -178*k**3 - 2*k**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be 20\/6 - 3\/9. Let c(u) be the first derivative of -u**2\/2 - 2. Let f be c(p). Let h(y) = y**3 + 4*y**2 + 3*y - 2. What is h(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 74*z = -77*z + 3, 3*f - 11 = -5*z. Let q(r) = r**3 + 4*r + 6. Let u(b) = -b**3 - 3*b - 6. Give f*q(k) - 4*u(k).\nAnswer: k**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 44136 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -2047743 (base 9) in base 7?\nAnswer: -12206640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = -t - 329 + 75, -635 = -5*q + t. Calculate the greatest common factor of 1016 and q.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 997*n - 5679. List the prime factors of k(30).\nAnswer: 3, 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -12\/655085 and 92\/225.\nAnswer: 29478825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -17.092 rounded to one decimal place?\nAnswer: -17.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 55480915241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.08, 3.5, 49, -0.0854.\nAnswer: -0.0854, -0.08, 3.5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3810 and 978.\nAnswer: 621030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the first derivative of 32*r**3\/3 - r**2 - r + 7. Is y(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the third derivative of 19\/60*s**5 - 91\/6*s**3 + 0 - 1\/12*s**4 + 0*s - 106*s**2. Find the first derivative of t(v) wrt v.\nAnswer: 38*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:12 PM and 10:07 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -1 - (-56)\/(8\/2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7067 (base 14) in base 2?\nAnswer: -100101101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3 - -1. Let w = 0.46 + -0.06. Let q = w + 0.1. Which is the second smallest value? (a) -5 (b) q (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11152792423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-16)\/2)\/(-9*(-9)\/162).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 4*w**4 + 188*w**3 + 1528*w**2 - 2112*w - 3456 = 0.\nAnswer: -36, -12, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + ((-7)\/4)\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*-6*-14*(-3)\/42.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fffffffsfffffffsfs. What is prob of sequence fs?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 3 + 3)*(-n - 2*n + 6*n) + 1 + n + 2*n + 0.\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = -2*k + 4*w, 0 = 4*k - 2*w - 40 + 58 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 40 + -100. Let l = -59.99886 - b. What is l rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -388, -1511, -3370, -5965, -9296, -13363, -18166?\n\"Answer: -368*f**2 - 19*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 63 = -2*q. Let u = -18 + q. Calculate the remainder when 41 is divided by (u\/(-6))\/((-6)\/132).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -738891554.0000206 + 738891669. Let g = r + -115. What is g rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*f**4*m - f**4 + 2*f**3*m + 152*f**3 - 2*f**2*m - 11636*m wrt f?\nAnswer: 48*f*m - 24*f + 12*m + 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3715.09 - -3777. Round g to zero dps.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 2*y = -738, y + 223 + 332 = -3*t. Let h be 12\/18*t\/(-4). Suppose -5*v + h + 369 = 0. Calculate the greatest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -3*n - 44. What is the remainder when 33 is divided by w(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -101101101000100100 (base 2) to base 15\nAnswer: -3a5b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 16*u + 60. Let o(b) = 14*b**2 + 7*b + 9. What is the units digit of o(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 67771169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7233426706.\nAnswer: 2, 11, 439, 68087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 1008 divided by -63\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = -126\/19 - -1141\/152. Suppose -760 + 8 = -4*y. Calculate the common denominator of r and (1\/(-12))\/((-2)\/y).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -19*h**2 - 32*h + 30. Calculate y(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -17845*t + 22907*t + 551758 = 0 for t.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 69\/2 of a micrometer?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 5*f - 31 = 0, k + 2*f = -2*k - 19. Let y be 3\/(k\/(-31)) - -3. Let q = 29 - y. Let t(h) = -h**3 - 3*h**2 + 5*h - 5. What is t(q)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 14.2 + -14.4. Sort 1\/3, -11, u in decreasing order.\nAnswer: 1\/3, u, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 196*i*l**3 + 24*i + 3*l**2 wrt l?\nAnswer: 1176*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01136 to 4 dps.\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 106*l**6 + 350*l**2 wrt l?\nAnswer: 12720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 2013*b + 0 + 1981*b.\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -68 + 135 = -36*p - 5. Is -64.66 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = g**2 + 17*g + 36. Give i(-16).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (29*i - 13*i - 9*i + (-1 + 1 - 2)*(-2 + 2 - 2*i))*(24 - 15 + 3)*(0 + 0 - 2) in the form s*i + c and give s.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -4*j - 103. Let s be 8 + (1 + -8 - -3). Sort 0, -1, j, s.\nAnswer: j, -1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*j**2 + 23835*j + 7092440.\nAnswer: -5*(j - 5048)*(j + 281)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -13935, -55720, -125353, -222828, -348139, -501280, -682245?\nAnswer: -891028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 746428057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = 531.1 - 532.6. Let b = 13.5 + -5. Let d = b + -8. Sort -4, 1\/9, d, c in ascending order.\nAnswer: -4, c, 1\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/2*((-70)\/(-24))\/((-2115)\/(-2538))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -7\/5, -2\/63, -30, 924?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -7922 at least -23767\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 26*f**2 - f. Calculate y(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-1)\/4 + (-49)\/42 and 89\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**0)**22*h\/h**(-7)*h**(-1\/7)\/h)\/(h**(-4\/7)\/(((h\/(h\/(h**(-4\/3)\/h)*h))\/h*h)\/h)*h\/((h**(-1\/7)*h)\/h)*h\/((h**(-4)\/h)\/h*h)*h) assuming h is positive.\nAnswer: h**(-106\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 116239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(605)*-2 + 1 - sqrt(605))*-5 + 2 + sqrt(605) + 5*sqrt(605)*2 + (sqrt(605) + -5 + 4 + sqrt(605))**2 + sqrt(605).\nAnswer: 253*sqrt(5) + 2418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 245 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 2319218511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q**3 + 6*q**2 + 8. Suppose k - 13 = -14. Let u be (-2 + 0\/2)*k. Suppose u*x + 18 = -x. Give b(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is c in -2*c**3 + 66982*c**2 + 2547482*c + 24207938 = 0?\nAnswer: -19, 33529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {e: 3, k: 1, b: 2, i: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -63 and -9?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 113279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 110 (base 2) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37\/204 and (-13390)\/(-115566)*(-6)\/(-8).\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -13985668 or -13985669?\nAnswer: -13985668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4408 is divided by 119?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:24 PM and 12:33 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 + 193 = 6*h. Suppose 3*w = r - 90, -7*r + 12*r = w + h. What is the second biggest value in w, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from {g: 2, o: 3, n: 1, x: 1, d: 3, p: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 - 3)*5\/(-20). Calculate the least common multiple of (2*(-2 + v))\/(-1) and (-28)\/2*(9 - 14).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3\/(-6)*(1 + -1). Suppose -5*y - 2*m = -q*y - 19, 5*m = -2*y + 16. Suppose -y*p - 2*p = -160. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 4 = -3*c. Let h be 138\/7 + c\/14. Suppose 0 = 19*f - h*f + 445. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*u**3 - u**3 + 0*u**3 + (2*u - 2*u + 2*u**2)*(4*u + 9*u - 8*u) - 3*u**3 - u**3 + 3*u**3 - 2*u**3 + 1 - 1 + 5*u + 2*u**3 + 3*u + 2*u**2 - 9*u.\nAnswer: 8*u**3 + 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 8197950 and 3279180?\nAnswer: 16395900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c be (3 + -28)\/(3\/(-36)). Suppose m = -97 + c. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the second derivative of -2*u**4\/3 - 10*u + 2. Let t(p) = -7*p**2. What is t(l(z))?\nAnswer: -448*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = -42953\/12728 - 1\/3182. Let v = -84 + -130. Let o = v + 2999\/14. Find the common denominator of b and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kakp when four letters picked without replacement from alplplplpllktpkl.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-2\/17)*a*a*a\/(a*a\/(a\/a**(-1\/3))))**(3\/5) assuming a is positive.\nAnswer: a**(113\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 378*y - 4212. What are the prime factors of q(21)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(1500) + sqrt(60)))\/(sqrt(972)*-3) - (2 + (sqrt(20)*-2 + -2)**2 + sqrt(140)\/(sqrt(14)\/sqrt(2))).\nAnswer: -86 - 52*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 - 0. Suppose -4*r + 234 + 46 = 0. Suppose 2*q - 3*w - r = -s*q, 2*q = -5*w + 70. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8363 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: 1.192 times -149.5\nAnswer: -178.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*n**4 + 35*n**3 - 5*n**4 - 39*n**3 + (3*n**2 + 0*n**2 - n**2)*(155*n**2 - 9*n**2 - 41*n**2).\nAnswer: 207*n**4 - 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z**3\/4 - 9251483*z**2\/4 - 2775443*z\/2 + 925148 = 0. What is z?\nAnswer: -1850296, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 63b55 (base 12) to base 7.\nAnswer: 1054436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.1004 (b) 2 (c) 1 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 + 4)\/(13\/208*-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1638 and 7176.\nAnswer: 150696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 4815196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (116\/348)\/(-6 + 4 + 17)\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b**5 + b**3 + b**2 - 2*b. Let s(z) = 13*z**5 - z**4 + 2*z**3 - 183*z**2 - z. Let x(l) = 2*d(l) - s(l). Find the third derivative of x(u) wrt u.\nAnswer: -660*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of u**4*v + 613*u**4 - 11*u**3*v - 7*u**3 - u**2*v - 41*u**2 - 7482*u wrt u.\nAnswer: 24*u*v + 14712*u - 66*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -48571.8 to the nearest 1000.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -p**3 - 29*p**2 - 138*p + 11. What is g(-23)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-190)\/(-72) + 138\/(-46). Let i = -667\/9 - -74. Let b = v - i. Put 4, b, 2 in decreasing order.\nAnswer: 4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -168.6 - 2947.4. Let q = g + 3115.98127. Round q to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*d - 12 = 11*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 17521.6 - 17522. What is the third biggest value in z, 2, -3\/629, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0 + -3 + (-3)\/(-1). Suppose 0 = -2*d + 10 - v. Suppose -2*i + 335 = d*t, -3*t + 129 = -3*i - 93. What are the prime factors of t?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.0172 - 0.017201884. Round n to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r - 9. Let f be 4\/(-18) + (-140)\/18. Let n be h(f). Let g be 1*n*(1 - 2). Solve 5*v + g = 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(-13\/2)\/(h*h**(-1\/8)*h\/(h\/(h*h**2)))*(((h\/h**(-4)*h*h*h)\/h)\/(h\/(h**(-5)\/h)))**4 assuming h is positive.\nAnswer: h**(-83\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Evaluate (-160)\/6*(-16200)\/14400.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*g**4 - g**3 - 20*g**2 + 0*g**3 + 8*g + 5*g + 0*g**4 - 16*g to o*g + k*g**2 + y*g**4 + l + c*g**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r - 9 = 3*y, r + 5*y = 6*r - 35 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -2*u**2 - 34*u + 19. Let f be o(-17). Suppose -f*g = -17*g. Is 2\/33 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3*1\/(6\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = 6, -j + 8 = 2*n - 2*j. Suppose u = -n + 37. Calculate the remainder when u is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*g - 2 = 3*n - 19*g, -5*n = 4*g - 2. Determine v, given that -4\/9*v**3 + 4\/9*v - 2\/9*v**n + 0 + 2\/9*v**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1255226 in 0.4, -1, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/(-108))\/(120\/(-324))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3\/89 or 0?\nAnswer: -3\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 212 a factor of 460252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*n - 98 + 86. Determine t so that 0 - 4\/3*t**2 + 5*t**n - 4\/3*t = 0.\nAnswer: -2\/5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = -d + 2 + 5, 4*d - 30 = 5*l. Suppose d*p - 24 = 56. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -m - 2. Let z(g) be the first derivative of -g**2 - 4*g - 18. Give 7*v(h) - 3*z(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {q: 3, u: 3, m: 1, t: 2, k: 7, l: 1}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 78374, 156015, 233656, 311297?\n\"Answer: 77641*a + 733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor i**2\/8 + 197873*i\/8 - 3761031\/2.\nAnswer: (i - 76)*(i + 197949)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2775760 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 614*b + 3796*b - 336*b + 898*b.\nAnswer: 4972*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the first derivative of 2*f**3\/3 - 5*f - 1. What is the derivative of a(q) wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -387 + 408. Calculate the remainder when 1173 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 + (-20 - -9) + 2 - 2\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = 4*l - 58, -23 - 60 = -5*l + z. Solve -5*m = 2*q - l, 42*q = 44*q - 2*m + 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*m - 166 = 239. Let w(o) = 2*o**2 - 36*o + 33. Determine w(m).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6125 and 82565?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*f**4 - 3*f**3 + 623 + 3*f**3 - 144*f**2 + 0*f**4 - 52 wrt f.\nAnswer: -8*f**3 - 288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is y in -y**3\/2 + 219*y**2 - 31974*y + 1556068 = 0?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 35062757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2\/154117 or -1?\nAnswer: -2\/154117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 2697, 2693, 2685, 2673, 2657?\n\"Answer: -2*q**2 + 2*q + 2697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5*u**4 + 41*u**3 + 24*u**2 + 13?\nAnswer: -120*u + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*a + a - 5*i = 180460, 3*i - 90208 = -4*a. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 776 greater than 784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 221 or -105?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -127\/7677292 or -1?\nAnswer: -127\/7677292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*l**2\/3 + 6336*l + 7600\/3 = 0 for l.\nAnswer: -950, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -431*f + 8167. Calculate t(19).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 244935 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -5*w + 3*f, 2*f = -5*w + f - 15. Let r = 0.0011 - -24.2989. Let p = -24 + r. Which is the closest to -0.1? (a) w (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = -t + 7, 2*t + 3*t = -w - 22. Suppose 3*x + 0*x = w. Let j be 5 - x*(-4 - -3). Solve -6 - j = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -652*v + 2927. List the prime factors of q(-11).\nAnswer: 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i**2 + 7*i + 13. Let c be (-2)\/(-8) - 29\/4. Let t(n) = -n**2 - 9*n - 3. Calculate the lowest common multiple of t(c) and h(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 831 and 355945?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1 - 4) + (4 - -1). Suppose -y = v*y + 3*x, -4*x - 35 = -3*y. Solve y*m = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1384492*c**4*n**3 + c**4 + 54*c*n**3 + 5*c + 33*n**3 + n**2 wrt c.\nAnswer: 16613904*c**2*n**3 + 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(60) + (sqrt(1500)*1 + sqrt(1500) - sqrt(60)))\/((-2*sqrt(60) - sqrt(60))\/sqrt(5)) - ((sqrt(5) + sqrt(15)\/sqrt(48))*5 + 3).\nAnswer: -115*sqrt(5)\/12 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7 is divided by (2 - 0)*5\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1097 - -442. Let o = l - -654.8. Let s be (-2)\/(-24) - 1\/(-4). What is the second biggest value in 0.4, s, o, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l = -w + 5, 5*w = -2*l + 57 - 58 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ddedkhddebekkk. Give prob of sequence dehd.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 25 and 171575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 3*o**2. Let i(u) = -854*u**2 + 2*u. Calculate i(w(t)).\nAnswer: -7686*t**4 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:02 PM and 8:40 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 4 times 13.3?\nAnswer: 53.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 1*63*60\/(-180)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 57588336 to the power of 1\/3, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 249 minutes before 2:25 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = -16 + 39. Let t = -3 - f. List the prime factors of -1 - t - (5 - 2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 926 - 919. Suppose 0*w + 11*w = o*w. Let -2\/13*r**4 + 0 + w*r - 4\/13*r**3 + 0*r**2 + 2\/13*r**5 = 0. Calculate r.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 631 - 629. Suppose n*p - 346 = 180. What are the prime factors of p?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*q + 3*q - 2*q**3)*(47 - 21 + 45) + 3*q**3 - 4*q**3 + 3*q**3 + (3*q**2 + 0*q**2 + 2*q**2)*(0*q - 3*q + 4*q).\nAnswer: -135*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 328089 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: How many minutes are there between 11:25 PM and 11:34 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-122*o - 838*o - 61*o + 148*o)*(3 - 3 - 4*o).\nAnswer: 3492*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.06 + -8098885882.56.\nAnswer: -8098885882.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -2*g - 1. Let n(z) = 472*z - 194. Let h(p) = -3*d(p) + n(p). Is h(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*a - 36 = 2*a. Suppose 3*t - 2 = 4*t. Let c be (3\/t)\/((-9)\/24). Solve -a = c*z + 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-228)\/76 + (-3)\/9*0. Which is the nearest to 1\/3? (a) p (b) 0 (c) -5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3270 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 2.2, -3.4 in descending order.\nAnswer: 4, 2.2, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p be (6913\/62)\/((-4)\/(-8)). Calculate the greatest common divisor of 1784 and p.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {u: 3, p: 9}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -2\/9 (b) -2\/3 (c) -1 (d) 3 (e) -0.0163\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -5, 0.0231, 3, 0.13, -2, -0.5?\nAnswer: 0.0231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and -259\/928 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6369642 divided by 18.\nAnswer: 353869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*i = i. Solve -4*p = -3*k + 24, 2*k + i - 2 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (18\/(-15))\/((-4)\/(-40))*(-252)\/(-2520).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 479491 and 1?\nAnswer: 479491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1 and 53?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from drdrdygyrrdyydyr?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 221*p - 309*p + 97*p.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*h = 4*a + 32*h - 12, a + h - 3 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1261955877?\nAnswer: 3, 7, 13, 1249, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 517 minutes before 8:01 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 0 = -1, -3*x = 3*m - 18. Which is the nearest to 0.1? (a) x (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -4*n**3 - 27*n**2 + 36*n - 132. Let w(q) = -3*q**3 - 20*q**2 + 27*q - 96. Determine -8*t(s) + 11*w(s).\nAnswer: -s**3 - 4*s**2 + 9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 220 and 127933058.\nAnswer: 1279330580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a + 44*s = 32, -s + 76 = 3*a + 84 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 4*t - 6 = 4*o, 5*t + 7 = -3*o. Let h(d) = -d. Let z(l) = 2*l - 60. Let i(r) = 2*r - 39. Let g(c) = 3*i(c) - 2*z(c). Determine o*g(f) + 4*h(f).\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 11*i - 970. Let t be w(79). Let s be 1904\/10 + (-6)\/15. Let z = t + s. Round z to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 325092207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -17*w - 40. Let d be h(-2). Let x be 2958\/187 + d\/(-33). Let a(c) = 8*c - 1. Let v be a(2). Which is greater: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 68957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 3, c: 4}. Give prob of picking 1 c and 3 v.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = -51 - 51. Let y = 209\/4 - r. Let w = -4 - -4.4. Which is the second smallest value? (a) y (b) w (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17657.466 rounded to the nearest 10?\nAnswer: 17660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-312)\/432 + (-6)\/(-27). Put -0.1, -5, -1\/8, u in descending order.\nAnswer: -0.1, -1\/8, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -25*b**2 + 3*b. Suppose -11*n = -n - 590. Let h(l) = 9*l + 61*l**2 - n*l**2 - 4*l - 5*l. Calculate h(w(d)).\nAnswer: 1250*d**4 - 300*d**3 + 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(((-6)\/(-1))\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -29721, -59417, -89113, -118809, -148505, -178201?\nAnswer: -207897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*q = 25*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add -66791706 and 192.\nAnswer: -66791514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t - 5 - 3. Suppose -2*w + 2*c + 20 = 0, -t*w + 5*c - 40 = -3*w. Calculate the remainder when w is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**7\/r**7)\/(r**(-5)*r**8) assuming r is positive.\nAnswer: r**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jhe when three letters picked without replacement from {j: 1, f: 5, h: 6, e: 1, o: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 3805362983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001407353306 to six dps.\nAnswer: -0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -11969 (base 10) to base 2\nAnswer: -10111011000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*d + 655 - 655.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1839317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 109506429 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36 + (53 - 27 - 56).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1552292058 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 633*i**2 - 1 - 765*i**2 - i + 66*i**4 - 67*i**4 - 767*i**2 in the form w*i**4 + l*i**2 + q*i + h + m*i**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the third derivative of t**7\/2520 - t**6\/240 + t**5\/3 + 24*t**2 + 2*t. Let i(v) be the third derivative of f(v). Calculate i(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 67, 38, -7, -62, -121, -178, -227?\n\"Answer: l**3 - 14*l**2 + 6*l + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 63 + 22. Let i = 1.023 - 77.723. Let b = m + i. What is b rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/t**(1\/4))\/t**6*t**(1\/5)\/(t**(-4)*t) assuming t is positive.\nAnswer: t**(-41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor t**3 + 13*t**2 + 22*t.\nAnswer: t*(t + 2)*(t + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1*-5 + (-21)\/7. Let j be 6\/24 + (-14)\/s. Let z(v) = 9*v - 2. Give z(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 2*c**3 + 9*c**2 - c + 22. Let g be q(-5). Let r(f) be the first derivative of 0*f**g + 0*f - 5 + 1\/3*f**3. Let a(j) = -6*j**2. What is a(r(t))?\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -85\/19 (b) 0.4 (c) -0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -13.56 - -908.56. Let k = 895.0413 - u. Round k to three decimal places.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*k + 3*v - 8, 3*v - 4 = -2*k + 4*v. Which is greater: 30\/11 or k?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10\/(-4))\/(1971\/35478).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 7 = -47. Let l(u) = u + 15. Let o be l(s). Suppose -2*v + 4*b = -4*v + 670, -3*v = o*b - 1003. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, 2\/7, 7.\nAnswer: -8, 2\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-189*n**2 - 4*n**2 - 18*n**2)*(0 + 2*n + 0)*(4*n + 0*n - 3*n) - n**4 + 2*n**3 - 2*n**3.\nAnswer: -423*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 11*n. Let s(q) = 5*q. Let o(h) = 6*g(h) - 13*s(h). Let l(b) = 4*b**2 + 2*b. Give -l(a) + 2*o(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 1, -2, -84, -112 in ascending order.\nAnswer: -112, -84, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6528 and 108418656.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3181 - -3102) + (135 - 2).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 132088158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -58562 or 1\/5?\nAnswer: -58562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 + 4. Let o = -13 + 9. Let k = o - -4. What is the third biggest value in s, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-38)\/(-14) + (-6)\/(-21). Suppose -7*d = -z*d - 8. Solve -4*t = -4*f - d - 2, -f - 2*t - 7 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve n = -4*z - 14, 4*n - 92 + 103 = -z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(19) + 1)*-6 + 2 + 3 - (sqrt(171)\/(sqrt(9) + sqrt(81)) - (-2 + sqrt(19)*1))) + 1)**2.\nAnswer: 21*sqrt(19) + 8443\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 101*p**2 + 234*p**2 + 9*p**3 - 118*p**2.\nAnswer: 9*p**3 + 15*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bccbbbccccbcc. Give prob of picking 2 b.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6132443\/15 + -408829. Factor -w*f + 2\/15*f**2 + 2\/5.\nAnswer: 2*(f - 3)*(f - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/14*(2263\/(-868))\/73*-6?\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5.5 + 1.5. Let m be (294\/(-69) - 3) + 12 + (2 - 7). Are f and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -250178 divided by 1.\nAnswer: -250178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4\/48*-3 - 2415\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/(o**(-19)\/o))\/o**(-1\/9))\/(o**(-16)\/(o**(-2\/41)*o)) assuming o is positive.\nAnswer: o**(14045\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 888*n + 12699*n - 664*n + 1030*n.\nAnswer: 13953*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*g - 2*z + 193 - 33, -5*g + 202 = 2*z. Suppose m = -m + g. What is the remainder when m is divided by (1 + (-39)\/12)*(-16)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1*1\/((-2)\/26). Let o = q + 14. Sort 0.5, -2, o in decreasing order.\nAnswer: o, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 20100121010 (base 3) to base 2.\nAnswer: 11110100010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in seven fifteenths of a day?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -4978*d**2. Let l(h) = -170*h**2 + h. Give l(x(o)).\nAnswer: -4212682280*o**4 - 4978*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -52 + 29 + 16 - 62*b + 53 wrt b?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 34.3078 tonnes to milligrams.\nAnswer: 34307800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 2*k. Let q be (12\/4 - 3) + 3 + 1. Let h(c) = -q + 5 - 4*c - c**2 - 1. Determine h(a(m)).\nAnswer: -4*m**2 - 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -1, 5, 2, -7 in decreasing order.\nAnswer: 5, 2, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 114 - 13344?\nAnswer: -13230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let -z**3\/9 - 58*z**2\/9 - 739*z\/9 + 266\/3 = 0. What is z?\nAnswer: -38, -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -69, -78, -87, -96, -105, -114?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the second derivative of -26*c + c**2 + 0 + 5\/3*c**3. Calculate t(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -531.4 + 513. Let d = -18 - v. Is 29 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 72471*p**2 + 11812770*p - 489.\nAnswer: 3*(p + 163)*(24157*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-12)\/16)\/(-1)*(-8640)\/(-270).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 4 + 5 = 0. Let n = v - 5. Suppose 0 = n*z + z - 95. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.07 times 39\nAnswer: 2.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 220600 divided by -1103?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 - 8 - -10 - (18 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9180 is divided by 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -48, -58, -82, -126, -196, -298, -438, -622?\nAnswer: -856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -0.071, 5.\nAnswer: -0.3, -0.071, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2 - 3*x**2 + 214*x**3 + 4 - 13 wrt x?\nAnswer: 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that 4*r**2\/7 - 52676*r + 151238608\/7 = 0.\nAnswer: 412, 91771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -7, -145, -375, -697, -1111, -1617, -2215?\n\"Answer: -46*i**2 + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 - 0. Does 13 divide l + 10 - (4 - 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-24)\/(-68) - 32267909\/(-323) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**2 - 135*f + 1. Let y(u) = -4*u**2. Give s(y(v)).\nAnswer: -16*v**4 + 540*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3266 plus 122?\nAnswer: 121.6734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 31.51188 months to millennia.\nAnswer: 0.00262599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((4 + (2 + sqrt(448) - sqrt(448) - sqrt(448)))**2 + (sqrt(448) + (0 + sqrt(448) - sqrt(448))*-2)**2)*2*4.\nAnswer: -3840*sqrt(7) + 37280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2600 + 4447. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -188*j**2. Let l(p) = -p. Calculate l(k(r)).\nAnswer: 188*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1589167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 3*u**2 + 31*u - 198. Calculate t(6).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 369 - 239. Let n = t - 128.99. Round n to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes before 10:35 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v be (5 + -3)*(9 + -7) - 0. Suppose 33*i - 28*i + v*n - 7926 = 0, -4*n = -16. Is 71 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from jnnzqq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -6385828*f + 1233175 wrt f?\nAnswer: -6385828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 2, t: 3, c: 3, g: 1, j: 1, d: 1}. What is prob of sequence tc?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 a and 1 h when four letters picked without replacement from {k: 10, a: 3, h: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 60473 = 62043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*((g\/((g\/(g*g**1))\/g))\/g)\/g)\/g**(-8))\/(((g*g**(-9))\/g)\/(g\/(g**(3\/13)*g))) assuming g is positive.\nAnswer: g**(244\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4478 divided by -16599.\nAnswer: -4478\/16599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -43620\/7 greater than -6230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -107 + 3 - -82 - (2 - (-1 + -12)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -127*s**4*z**3 - 2*s**4*z - 21*s**4 - 51*s**2*z - 5*s**2 - 2*s*z**3 wrt s.\nAnswer: -3048*s*z**3 - 48*s*z - 504*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*r - 238 = 17*r - 35*r - x, 4*r + 4*x = x + 49 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 68 = 23*i - 5*k, -5*i - 22*k + 23*k = -14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -i + 2. Let v be f(2). Let l = 0.9 - 6.9. Let q = l - -6.2. Is v less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -622451*a**3 + 311240*a**3 + 311209*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3\/(2 - (-2)\/(-4)). Let u(q) = 57*q**2 + 5*q - 8. Let n be u(3). Suppose 0 = -s*j - 118 + n. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 3*q - 4 = -2*q, -4*t = -3*q - 16. Suppose -t*o + 38 = -2*o. Calculate the remainder when 73 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (24\/(-160))\/((-12)\/(-8)*80\/(-100))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be 23\/(-4)*80\/(-140). Let n = 173\/42 - m. What is the fourth biggest value in 1, -2, 4, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10 + -10220?\nAnswer: -10230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 504455 and 6461?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2967723 and 495.\nAnswer: 14838615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.047, -0.2, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*j + 0*j + 18 = 0. What is the first derivative of 3*r**j + 4*r**2 - 5*r**2 - 8*r - 121 + 127 wrt r?\nAnswer: 4*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 466883?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -17461900 rounded to the nearest 100000?\nAnswer: -17500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the second derivative of 4*i + 0 + 1\/2*i**3 + 0*i**2. Let q(o) = -2*o. Give q(h(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**3 - 6*i**2 - 11*i - 7. Determine m(8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11 - 8. Let b = 1.186 + -1.09. Let x = -0.096 + b. Sort -0.3, x, k.\nAnswer: -0.3, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1188, 1174, 1170, 1176, 1192?\n\"Answer: 5*l**2 - 29*l + 1212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -884 - -885. Let h = -0.61 + -0.19. Which is the closest to u? (a) -0.5 (b) 2\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -c**3 + 2*c**2 + c. Let y be v(2). Let d = 0.474 - 112.574. Let s = d - -109.1. What is the third biggest value in y, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1.8243 - 1.82458229. What is d rounded to six decimal places?\nAnswer: -0.000282","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor x**3\/2 + 146*x**2 - 294*x.\nAnswer: x*(x - 2)*(x + 294)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1083 - -1082.89343. Let w = -10.2 + 10.094. Let c = w - a. Round c to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 278*k - 44 = 5*m + 292*k, 2*k = -2*m - 14 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 32447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqqqqqqqqqqwqqqqqq. Give prob of picking 2 q.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(99)*4)\/(sqrt(9) + (sqrt(18)*-3)\/sqrt(2)) - 5*(sqrt(55)*-1*6 - sqrt(55) - sqrt(55))\/(sqrt(25)\/sqrt(45)).\nAnswer: 118*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 36*m + 2 - 2*m**2 - 7 + 4 to the form x*m + v + z*m**2 and give x.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -6*h**2 - 5. Let v(u) = -12*u**2 - 11. Let l(g) = 4*v(g) - 9*w(g). Let c be l(-1). Suppose c + 23 = 5*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 - -3. Let r = 4 + -2. Let b(d) = 2*d + 2*d**3 + r*d**2 + 2 - 3*d**3 + 2. Give b(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n = g - 0*n - 14, 4*n + 41 = 5*g. Suppose 0 = -i + 13 - 10. Suppose 6*c = i*c + g. Sort 4, c, -4 in decreasing order.\nAnswer: 4, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y + 11. Let p be 3\/(-6)*-6 - 3. Suppose 4*c + 20 = p, d - 5*c = -1 + 17. Let q be m(d). What is the highest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1933*s - 6598 + 35912 = 319 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-5)\/6*(-6 + 0\/(-8)). Suppose 0 = -g*b, -3*h + 3*b = 4*b. Which is smaller: 3\/236 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -d**3 + 8*d**2 - d - 2. Let j = -16 + 23. Let m be t(j). Calculate the greatest common factor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 305 and 488305.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 246 is divided by 114?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 14502 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*c - 47*c**2 - 1 + 27*c**2 + 35*c**2 - 40*c**3 to k*c**2 + w*c**3 + v*c + j and give w.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 308610 - 3207?\nAnswer: 305403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 126 + -102. Let s = u - -39. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 82*w = 87*w - p - 38811, -20 = -5*p. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 419, 1574, 3499, 6194, 9659, 13894?\n\"Answer: 385*u**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 2, 20, 54, 110, 194?\n\"Answer: l**3 + 2*l**2 + 5*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*sqrt(22)\/(sqrt(2)*1) - ((sqrt(1331) + 0 - sqrt(1331))**2 - (-2*(sqrt(11) + 1)**2 - sqrt(11))) - ((sqrt(99) - 1*sqrt(99))*5)\/(sqrt(9)*-3*1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 + 0.1. Let z = 2 - 0. Let b = 0 + z. What is the closest to -2 in 5, y, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - t - 16 = 0, 12*i - 9*i - 4 = -5*t. Suppose 3*k + i*u = 0, -5*u + 3*u - 2 = 0. Let v be k\/(8\/2)*4. Solve 0 = -4*q - 7 - v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00219435932 to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = -9558 - -908033\/95. Let w = f + 3\/19. Is 2\/3 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-30)\/3 + (0 - 2). Let y = 35 + -48. Is r smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -o**3 - 2 - 3*o**2 + 0*o**2 + 3*o**2 to the form g*o**3 + s + c*o**2 + v*o and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 16529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, j: 1, y: 5, z: 1, d: 3}. What is prob of sequence zcy?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -542456057 + -15?\nAnswer: -542456072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 64845086 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Solve 33*i + 379 - 626 = -445 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yydi when four letters picked without replacement from {i: 5, y: 2, d: 1, w: 9, s: 1}?\nAnswer: 1\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -46a6 - 17e?\nAnswer: -4835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 220\/(-66)*(4 - (4 - 12\/(-4)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 155 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = p**2 - 19*p + 95. Let t be m(9). Solve w - t*i + 16 = 0, 11*w - 4*i + 8 = 15*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.2 and 64.24175740922.\nAnswer: 64.44175740922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1.7? (a) 1 (b) -3 (c) 0.0417 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, w: 3, o: 3, g: 2, t: 3, v: 1}. Give prob of picking 1 o and 1 t.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 621 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5833434414.\nAnswer: 2, 3, 972239069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -10101000 (base 2) to base 9.\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (77970*z + 76058*z - 157845*z)*(0*z + 2*z - z) to d*z**2 + k + y*z and give d.\nAnswer: -3817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k**3 - 177*k**2 - 11076*k - 122400 = 0. What is k?\nAnswer: -24, -17, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2.91949106 rounded to 3 decimal places?\nAnswer: 2.919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 48 = -2*n + 3*o + 40, 5*n + 58 = -2*o for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6494786?\nAnswer: 2, 23, 271, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 8*p + 2. Let u be t(3). Let h(n) = n**2 + 37*n - 252. Let b be h(6). What is the derivative of -u*x + 4*x + 11*x - b wrt x?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -8*a**2 + 2*a - 1. What is l(2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 25, -156, -2\/3 in decreasing order.\nAnswer: 25, -2\/3, -1, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 140*n = 169*n + 58 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) be the first derivative of -2*l**5\/5 - l**4 - l**3\/3 + 32*l - 31. What is the third derivative of h(n) wrt n?\nAnswer: -48*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1\/(-2))\/(2\/(-4)). Let o(y) = 34*y**2 - 4*y + 5*y - 1 + 3*y**2 + 12*y**2. Is o(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 79481107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) be the second derivative of 4*t**4\/3 + 34*t. Let v(i) = 6*i**2. What is v(k(h))?\nAnswer: 1536*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*s = -10*s + 86892. What are the prime factors of s?\nAnswer: 2, 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -2*d. Let o(m) = -3*m + 7. Let y(c) = -c + 2. Let k(q) = -4*o(q) + 14*y(q). What is a(k(s))?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 784904 and 4?\nAnswer: 784904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:16 PM and 5:26 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -5. Let d(w) = -w + 29. Let r(b) = -5*a(b) - d(b). Determine r(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 13 - 11. Let t be (0 + q + -2)\/(-1). Is (t + -159)\/(3\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50165930047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2.3 + -2.17. Let c = -0.07 - t. Let m = c - -0.6. Sort m, -1\/3, -0.1.\nAnswer: -1\/3, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -5*b + 3. Let i(z) = 2*z + 19. Let v be ((180\/42)\/(1\/7))\/2. What is the remainder when i(v) is divided by l(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 2\/11, 1\/3, -3.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 157251 (base 8) to base 13\nAnswer: 1cc39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 567843 is divided by 6172.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the first derivative of f**3\/3 - 5*f**2\/2 - 24*f - 4238. What is n(5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:15 AM and 8:59 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -121020 divided by 5\nAnswer: -24204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 88200 by -441.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -29*c**2 + 32*c + 1. Calculate b(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 10 - 8. Suppose d = s*u - 30, -12 - 18 = -2*u + 4*d. Let a(x) = -2*x - 7. Let i be a(-5). Solve -u = 3*z - i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15006 is divided by 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 130050 is divided by 1966.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 11893, 25438, 38983, 52528, 66073, 79618?\n\"Answer: 13545*c - 1652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3 (b) -11 (c) -1\/11 (d) -1.425 (e) -4 (f) 0 (g) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -c2eb8 (base 15) to base 14\nAnswer: -1210c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the second derivative of -a**5\/20 + 4*a**4\/27 - 5*a**3\/54 - a**2\/9 - 7*a. Factor y(x).\nAnswer: -(x - 1)**2*(9*x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 810*f - 804*f + 18 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*f**5 + 2*f**4 - 1024*f**3 - 5*f**2 - 92*f wrt f?\nAnswer: -120*f**2 + 48*f - 6144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 400*p + 379*p - 1133*p + 396*p to v + c*p and give c.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -65710 times 3?\nAnswer: -197130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(300)\/(sqrt(20)\/sqrt(32) - sqrt(10)))\/((sqrt(54) + 3*sqrt(864))\/sqrt(9)) + -3.\nAnswer: -3 - 4*sqrt(5)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 125, 8, -2, 0, 18, 4, 5 in ascending order.\nAnswer: -2, 0, 4, 5, 8, 18, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -10, -1.6, -0.01, 14\/311 in decreasing order.\nAnswer: 2, 14\/311, -0.01, -1.6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -62913110*u + 16095990?\nAnswer: -62913110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -893, -236, 12 in descending order.\nAnswer: 12, -236, -893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3741 + 45166?\nAnswer: 41225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 3*33\/(-45)*-5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 5*x = -682 - 256, -4*i + x = -946. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5153*h + 64 = -5136*h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/(-24)*15*520\/(-3) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d**2 + d - 3. Let b be z(-4). What is the smallest common multiple of 75\/b - (-6)\/9 and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0 - (-3)\/(-9)*(30\/6 + -14). Let r(y) = y - 4. Determine r(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h**2 + 2*h - 1. Let l be c(1). Let f be 0*-3*l\/(-6). Let p = f + 2. What is the least common multiple of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.71 + 0.692. What is a rounded to 2 decimal places?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjinjzijijizzij. What is prob of picking 1 i, 1 z, and 1 j?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 20925 and 7459065.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/(-40)*(64\/(-4))\/4.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 3*x - 4. Let q(f) = 2*f - 3. Suppose 0 = -7*i + 3*i + 12. Let a(u) = i*v(u) - 4*q(u). Let h(n) = -n. Determine h(a(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (174\/18)\/(2\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.7 - 0.2. Let t = -67 + 66.8. Let v = -2.1 + 2. Which is the biggest value? (a) v (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 358 is divided by 93?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 188 - 188 + 3*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l**2 - 18*l. Let s(f) = -6545*f. What is h(s(j))?\nAnswer: -42837025*j**2 + 117810*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1599738623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = 11 - 7. Suppose 3*b = p*t - 25, -2*t = -t - 5*b - 19. Solve 12 = -t*q - 0*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 84.9 + -96.9. Which is the second biggest value? (a) -4 (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 4, -89, 3.\nAnswer: -89, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -3*x**3 - 381*x**2 - 760*x - 1256. Give y(-125).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 340 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1399\/735 + -8\/49. Which is greater: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 139 - 114. Calculate the remainder when y is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v and 1 s when three letters picked without replacement from sslsllsslvlvll.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 6953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, g: 1, j: 1, a: 4, b: 10}. What is prob of sequence jn?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -h**3 + 8*h**2 - 2*h + 12. Let v(g) = g**3 + 6*g**2 - 9*g - 9. Let s be v(-7). Suppose 5*t - 52 = -3*z - z, 0 = s*t - 20. What is d(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (3678\/282 - 23) + 10?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.0002 - 2.9302. Let u = h + -0.07. Let w = 253\/3 + -85. Which is bigger: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q + 3*q = 28. Is q greater than or equal to -11\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11737, -23469, -35199, -46927, -58653, -70377?\nAnswer: -82099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (3 - (2 - (-6 + 4))) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 73724 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5.35 - 0.35. Sort t, 1, 1\/46 in decreasing order.\nAnswer: t, 1, 1\/46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -12110 (base 3) to base 14\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -11 + -f?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o**2 - 6*o - 2. Let k(h) = -3*h**2 - 12*h - 4. Let w(b) = 5*a(b) - 2*k(b). Let j be w(6). Sort 0.3, 0.5, j.\nAnswer: j, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 186 + -130. Let l = i - 55.946. Round l to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9696 and 25149.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -18 - -22. Which is the fourth biggest value? (a) 0.4 (b) 2 (c) k (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 967, 7, -246 in ascending order.\nAnswer: -246, 7, 967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -29 + 8 = -7*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) be the first derivative of -3*f**2 + 2*f + 16. Find the first derivative of u(i) wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -189*a**2. Let y(k) = -5*k. What is g(y(c))?\nAnswer: -4725*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -10*u. Let s(r) = -9*r. Let t(h) = 5*s(h) - 4*z(h). Let g(p) = 9*p. Give 3*g(m) + 5*t(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 109 a factor of (-118630)\/(-30) + 1 - (-20)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - -32) + -41 + (62 - 34).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(175) + -2 + sqrt(175)*-2) + -5)**2.\nAnswer: 420*sqrt(7) + 6349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 771.0443 days?\nAnswer: 18505.0632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 33 - -37. Suppose 156 = -19*v + 32*v. What is the remainder when l is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -65*b**3 + 2*b**2 + 2*b + 1. What is the units digit of s(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1096\/3 + 362. Calculate the common denominator of -1*41\/3 + 2 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 443*h - 36 - 218*h + 17 - 222*h + 19.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**2 + 12*q + 21. Suppose 0 = 4*a + 12, a = 10*f - 5*f + 77. Let x be k(f). Calculate the highest common divisor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11090 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 0.00286 * 0.2\nAnswer: 0.000572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-14 - (-718042)\/104)\/((-9)\/(-48))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yof when three letters picked without replacement from {i: 2, f: 3, o: 5, y: 3}?\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -58 - -1?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 66830 and 140180.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.0974 (b) 0.2 (c) -799 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*j**2 - 1868*j + 21032.\nAnswer: -4*(j - 11)*(j + 478)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**2 + 20*l - 30. Determine x(-16).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cddxcdcdcxkccx. Give prob of sequence dcx.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 353 minutes after 12:27 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 166563444 and 426?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1 + -9 - -4) + -3. Let o be ((-3)\/2)\/(r\/12). Suppose -f + 30 = 5*h, 4*f + 5 = o*h + 3*h. What is the lowest common multiple of 4 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6 - 3. Let k(a) = -a**2 + 3*a + 1. What is the units digit of k(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a = 16935*r - 16932*r + 46, -5*a + 115 = -7*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let -4*t**2 - 869956*t + 174151200 = 0. Calculate t.\nAnswer: -217689, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -7.365 + 4388594.9.\nAnswer: 4388587.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 10708623, 21417248, 32125873, 42834498, 53543123, 64251748?\n\"Answer: 10708625*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 101118.\nAnswer: 2, 3, 19, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h + 4*h - 5*f - 185 = 0, -5*h - 4*f + 221 = 0. Let b = h + -26. Calculate the remainder when 74 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 862, 3447, 7748, 13759, 21474?\n\"Answer: -c**3 + 864*c**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 31 = 4*u, -4*h = u - 0*u - 12. Suppose 3*n = u*n - 10. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f**2 - 17*f. Let o be j(-9). What is the second derivative of -72 + o + 2*q**2 + 6*q**2 + 6*q wrt q?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 524 - 258 - 265 + 14*a in the form s + m*a and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -658733594753\/19437 - -33890703. Let d = 4\/627 + p. What is the second smallest value in -3\/2, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 274 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 244 = a. Suppose -4*q - 4*h + a = 17, 3*q - 37 = -4*h. What are the prime factors of 3\/(-3 + (-48)\/(-14))*q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 416 and 3900.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 - 8 + 2)*(6*v**3 + 24*v - 24*v) to the form h*v**3 + z + j*v + c*v**2 and give h.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 60 + -40. What is the remainder when 98 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of f*g**4 + 73*f*g**2 - 453*f*g + 2*g**5 wrt g?\nAnswer: 12*f*g**2 + 146*f + 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 6, -9, -34, -69, -114, -169, -234?\n\"Answer: -5*c**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be 10\/3 + (-8)\/(-12). Suppose -2*v + 20 = m*k - 0*v, 5*v + 15 = 3*k. Suppose -k*n + 73 + 87 = 0. What is the highest common factor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -b**2 + 2*b**2 + 4 + b - 2 - b**3. Let f be a(2). Suppose 4*p - 4*v - 828 = f, 3*p + 3*v + 1039 = 8*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -32 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, 1, -2, 5\/3, 1\/2 in descending order.\nAnswer: 5\/3, 1, 1\/2, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply -127 and 2694.57.\nAnswer: -342210.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = -38 + 43. Suppose f + 5 = 2*o. Suppose -o*s + 8*s - 132 = -2*n, 2*s - 5*n = 88. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 218.030518 rounded to 0 decimal places?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 1 = 1. Let b be -3 + 2*(3 - a). Does 15 divide 43\/1 - (b - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3168)\/211068)\/(36\/(-39))?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(252) - (sqrt(252) - (sqrt(252) + 4*sqrt(252))) - sqrt(252))*3*1 - (0 + 5*(1 + sqrt(252))))*5)**2.\nAnswer: -10500*sqrt(7) + 309325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -437, -614, -791, -968, -1145?\nAnswer: -1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -1105631 - 51*g**2 + 1105631. Let v(h) = -78*h. Determine y(v(d)).\nAnswer: -310284*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 47 by 91.\nAnswer: 47\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the second derivative of 5*y**7\/3 - 3*y**4\/2 + 5*y**3\/3 - y - 89. What is the third derivative of n(c) wrt c?\nAnswer: 4200*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21*-1045872.\nAnswer: -21963312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 69 (base 14) to base 5\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -28*o**2 + o + 1. Suppose 2*d - s + 2 = 0, s + 3 = -3*d - s. Let g be j(d). Does 12 divide ((-18)\/21)\/(1\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-15943719)\/(-30) + (-17)\/(-10) + -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2.671 + 0.329. Let g = 48\/5 - 399\/40. What is the closest to 0 in -0.2, g, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10.7044 rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 1 f, and 1 i when three letters picked without replacement from {z: 3, v: 1, i: 2, f: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + ((-4 + -1 + (5 + sqrt(539) + 1 - -4*(sqrt(539)*-1 + sqrt(539))))*4)**2.\nAnswer: 224*sqrt(11) + 8638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -36.14 - 0.86. Let a = -348368.11 - -348331.1100112. Let u = a - y. Round u to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*p**2*v**3 + 7*p**2*v**2 - 150*p**2*v - 338*p*v**3 + 10*v**3 wrt p.\nAnswer: 4*v**3 + 14*v**2 - 300*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.4 (b) -5 (c) -0.1 (d) 917 (e) 10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 1128012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*2*sqrt(8).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10 + 112210?\nAnswer: 112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1 - -1) + (2 - 3). Let k be o - ((-2)\/(-2) - 11). Suppose -4*z + 0*z = -324. Calculate the greatest common factor of z and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 10*n - 11*n**2 + 0*n**3 + 25*n**3 - 24*n**2.\nAnswer: 5*n*(n - 1)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vvz when three letters picked without replacement from {v: 3, k: 2, z: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.07 + 0.05. Let n = -1.98 + a. Let r = 3 - 2.6. What is the nearest to 1\/2 in n, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 - ((-2020)\/(-72) - (-184)\/(-3312)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 2*k**3 + k**3 - 8 + 7*k - 15*k**2 + 20*k - 5*k**3 - 2*k. What is the least common multiple of p(-9) and 106?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 21 = -p, -3*n - p = -3 - 16. Find the second derivative of 8*x + 3*x**2 + 38 - 7*x - 1 + 38*x**n - 2*x**2 wrt x.\nAnswer: 760*x**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*x**3 + 4*x**3 - 2*x**3)*(82*x - 76 + 76) to the form w*x**3 + s + v*x**2 + a*x**4 + c*x and give a.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -52669 or -52041?\nAnswer: -52669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6862 is divided by 343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = w**3 + 18*w**2 - 2*w - 14. Calculate q(-18).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1231543 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Are -1\/14 and 0.275997 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 907, 4, 3.2 in descending order.\nAnswer: 907, 4, 3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -1030410021 (base 5) to base 2.\nAnswer: -1000011001010000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = o**3 + o - 6. Let t be v(0). Let m = -15 - -6. What is the units digit of (-69)\/m - (-4)\/t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -70 - -81. Let b = 113 - 166. Let i = 85 + b. Calculate the remainder when i is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j**2 + 27*j - 199. Determine w(13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes after 7:32 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -87*r - 9240 = -870*r - 141*r. Suppose -3*j + 1 = -14. Solve 0 = p + p + 2*d + r, -25 = 2*p + j*d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4454930 to the power of 1\/2, to the nearest integer?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -1772*k**2 + 6 + 3*k + 3543*k**2 + 0*k - 1777*k**2. Let t(z) = -5*z**2 + 2*z + 5. What is 3*o(a) - 4*t(a)?\nAnswer: 2*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 7915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*w - 22 = 17*w. Suppose 4*y - 2524 + 56 = -4*x, y - 1236 = -w*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -7*p - 39. Let w(r) = -5*r - 36. Let m(i) = -4*w(i) + 3*y(i). Let c(t) = t. Calculate c(m(z)).\nAnswer: -z + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = 4*h. Suppose r + 9 = -h. Let j be 2\/12*(8 + r). What is the second biggest value in 0.06, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-33*12\/(-162))\/((-2)\/(-12)) - 7?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 6, g: 5, w: 3, v: 3}. What is prob of picking 2 f and 2 v?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 318 and 113553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = r - 1. Let m(h) = h + 15. Let k be m(-10). Let a(b) = 148*b - 52. Let d(x) = -14*x + 5. Let t(o) = -3*a(o) - 32*d(o). Determine k*z(g) - t(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find j such that -2\/3*j + 0 + 0*j**2 + 1\/6*j**3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*p**2 - 76*p - 110*p + 186*p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*m**2 + 0 + 0 + (-2*m**2 + m**2 + 0*m**2)*(3 + 0 - 2) + 6*m**2 - m**2 - 3*m**2 + m**2 - 4*m**2 + m**2 + m**2 + 4 - 4.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 289434\/35 + -8268. Let i = 15\/7 - s. What is the second biggest value in -0.1, 2\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17605 greater than 17606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence whug when four letters picked without replacement from {y: 1, g: 3, h: 2, u: 6, w: 4}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5 + -1351?\nAnswer: -1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -17*k**5 - 896*k**4 + 896*k**4 + (3*k**3 - 3*k**3 + 3*k**3)*(-8 + 3*k**2 + 8).\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, 0, -4, -21, -331 in descending order.\nAnswer: 12, 0, -4, -21, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 820*h = -915*h + 1812*h - 2926 for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -0*h + 3*h - u - 7, 5*u = -5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 2206 = 4*u, -s + 3*s + 4 = 0. Suppose u = o - 4*b, b - 4*b = 5*o - 2699. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**(-2)*t)\/(t\/t**1))**(-35) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 63157 and 9321617?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 3 - 13 + 0*w - w. Let t(d) be the second derivative of d**2\/2 + 2*d. Give 18*t(f) + 2*z(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -129191461589\/8346 + 46438349\/3. Let u = -58\/107 - z. What is the common denominator of u and -131\/6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wuc when three letters picked without replacement from {c: 2, u: 5, w: 5, y: 3}?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -71, -287, -727, -1457, -2543, -4051?\nAnswer: -6047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37111 - 12113 = -14*s. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 1, n: 1, l: 3, b: 4, t: 4, h: 1}. Give prob of picking 1 h, 1 b, 1 n, and 1 d.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2\/229, -0.5, 0.03?\nAnswer: -2\/229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 31 - 37. Let g be 0\/(6\/(b + 3)). Suppose g = -4*f - 3*f + 686. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -499206165*k**3 + 138*k - 3101572?\nAnswer: -2995236990*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 10 (base 2) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2051\/4 or -512?\nAnswer: -512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, w: 4, n: 3, t: 3}. Give prob of sequence ntt.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -3 + ((1*sqrt(343) + sqrt(343))**2 - (sqrt(7) - (sqrt(49)\/sqrt(7)*-2)**2 - sqrt(7) - sqrt(7))) + 0.\nAnswer: sqrt(7) + 1401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 86.40924 kilometers in millimeters?\nAnswer: 86409240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*d - 4*b - 8, 5*d - 3*b - 35 = -0*b. Suppose a + 1 = d. Find the common denominator of a - (-15)\/(-12) - 0 and 83\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-2)\/(-2)*(-12 - (-5662)\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve x + i - 4 = 0, i + 11 = -3*x + 19 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 5739907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 16 >= -30621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-3) + 120\/(-234).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 3*f**2 - 60*f - 6. Let i(j) = -j**2 - 11*j. Determine 5*i(z) - k(z).\nAnswer: -8*z**2 + 5*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -7*m**3 + 50*m**2 - 154*m + 1035. Determine r(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Is 258 greater than or equal to 238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 160778 is divided by 32032.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.53 and -0.4.\nAnswer: 0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -4, -999, 17 in decreasing order.\nAnswer: 17, -2, -4, -999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1774 divided by -9.\nAnswer: -1774\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 24 and 86664280.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27799.\nAnswer: 27799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*f - 495 = -64*f + 16*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 203422 = 249*q - 109054 - 50068. Calculate the smallest common multiple of q and 364.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -3*d - 27. Calculate the lowest common multiple of i(-12) and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 25612 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -111 divided by 1?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -931 and -0.094298?\nAnswer: 87.791438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 650052 = 4*w, 5*r = -3*w + 588564 - 101014. What is w rounded to the nearest one thousand?\nAnswer: 163000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 5 = -5*s, b = -2*s + 4*s - 2. Let n = 0 + 6. Calculate the smallest common multiple of s and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -49, -0.3, -0.1, -3, -268, -1, 0.01?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1 + 0)\/((-3)\/(-21)). Suppose -3*q + 3*u + 3423 = 0, -2*q + 2286 = -u - 2*u. Suppose -4*b - q = -f*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = v**3 + v**2 - v. Let n be o(0). Let w = 3 + n. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7101497, -7101499, -7101501, -7101503, -7101505, -7101507?\nAnswer: -7101509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 314 and 76194455.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:43 PM and 7:19 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 384359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -8\/17240019?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0949424 rounded to four dps?\nAnswer: -0.0949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l + 2. Let h be w(10). Let j(n) be the second derivative of -n**4\/12 + n**3 - 2*n**2 + n. Let a be j(4). Solve -h = a*y - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -2*j**2. Let p(b) = -100*b**2 + 78804. Give p(s(x)).\nAnswer: -400*x**4 + 78804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -112323323 (base 4) to base 6.\nAnswer: -2002535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be -1*1\/(-2)*-2. Let x = -566 + 357. Let u be 0 + 0 + 2 + x\/99. Sort u, b, 3\/2.\nAnswer: b, u, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 171, 274, 377, 480, 583?\n\"Answer: 103*p + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 8\/1455 and -38\/195.\nAnswer: 18915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) 6 (b) 0.3 (c) -79 (d) -0.1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -1532*p + 1532*p + 16*p**2 + (6 - 36*p - 6)*(2*p - p + 0*p) in the form d*p**2 + u + t*p and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = x**2 - 8*x + 8. Let t be d(7). Let g(i) = 41*i - 1. Let q be g(t). Calculate the highest common divisor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 2*m**2 + 94*m - 5197. Calculate c(33).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -16 + -37. Let m = o + 63. Calculate the smallest common multiple of 4 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1032 * 12.\nAnswer: 12384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 58*u**2 + 4*u - 2. Let j be v(1). What is the greatest common factor of 100 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-140)\/40 - (-105)\/14. Solve 0 = -3*k - 4*i - 9, c*k + 0*k - 4*i = -12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -9 - 10. Let t = w - -28. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -23213, -23287, -23373, -23477, -23605, -23763, -23957, -24193?\nAnswer: -24477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3568 and 380215?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 91*z**3 + 3*z - 101*z**3 + 3*z**2 - 3*z**2 in the form l*z**3 + y + k*z**2 + f*z and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 2*w + 4 - 1 + 2*w + 0*w - 31*w + (-8 + 3 + 3)*(0*w + 0*w - w) - 2*w + 0*w + 4*w.\nAnswer: -23*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2 + 2 + -3 + -3. Let r be 1\/4*z + 1. Factor -1\/4*f + r*f**2 - 1\/4*f**3 + 0.\nAnswer: -f*(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -79\/140 and 89\/252.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -136 + 99. Let j = h + 40. Suppose 4*z + 2*d = 52, -j*z - 24 = 5*d - 63. Solve z = -4*g + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (18\/12*(-8)\/34)\/(-1*3)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 16634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.4, 0.08379, -367, 3, -5, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 13 (b) 2\/5 (c) 4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*k + 0*k + 6*k + k + 4*k - 6*k + k + 0*k + k + (5 - 2 - 1)*(-5*k + 4*k + 3*k) + 0*k + 0*k + 2*k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 98 minutes after 9:55 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 2*f**2 + 11*f + 8. Let j be m(-5). Solve -j*i - 12 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*t**5\/5 + 69*t**4\/5 - 69*t**3\/5 - 261*t**2\/5 + 6*t\/5 + 24 = 0. Calculate t.\nAnswer: -1, 2\/3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -31145.8 + -9\nAnswer: -31154.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 5 by 80.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j**3 - 4*j + 4. Let s(d) = 3*d**3 + 11*d - 11. Determine -11*b(p) - 4*s(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 3*k = 19, k = -k + 2. Suppose 3085 = -b + 5*g, -b + z*b = -3*g - 9201. What is b rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 + 6. Suppose 3*z - v*w - 66 = 0, 8 = z + 2*w + w. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 10\/2 - (-2 + 1). What is the tens digit of -40*(-1)\/(15\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -4*d**2 - 10*d. Let j(h) be the first derivative of -h**3\/3 - h**2\/2 - 19. Let c(b) = -3*j(b) + 3*m(b). What is the second derivative of c(v) wrt v?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4\/12 - (-1034)\/3. Suppose -4*p + 2*o + 278 = 0, 5*o - 3*o = 5*p - y. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*f - 2*f = 10348. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2418035?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -343.308*-0.1.\nAnswer: 34.3308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 1546 divide 3079250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 4, v: 3}. What is prob of sequence iii?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 858.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*q**3 - 7*q**3 + 7 + 0*q**2 - q**2 - 4*q**3 to y*q**2 + w + a*q**3 + d*q and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-88)\/440)\/((-8)\/10). What is the second biggest value in -5, 0.29, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 111 - 505. Let a = o + 12215\/31. Suppose 4*t - 5*t + 1 = 0. Is t smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25 - 4131530?\nAnswer: -4131505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-23)\/(-3) + (-4)\/6. Let z be 8\/56 + 34\/d. Solve 0 - 8\/5*r**2 + 8\/5*r - 6\/5*r**z - 14\/5*r**3 + 4*r**4 = 0 for r.\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 4*b = -2*r - 1, -3*r + b = -11. Suppose -1 = r*c - 0*d + d, -3*d - 3 = 5*c. Differentiate -30 + c*o**2 - 5*o**2 + 3*o**2 + 17*o**2 wrt o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - -0.1867.\nAnswer: -4.8133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 + (-72)\/(2 + -3). Let g(u) = -u**3 - 3*u**2 - u - 12. Let l be g(-4). Calculate the highest common factor of m and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the third derivative of 41*x**5\/20 + 5*x**4\/12 + 23*x**3\/6 - 35*x**2. Is 21 a factor of o(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 15\/2*4\/(-3). Let n = -338\/3 - -445\/6. Calculate the common denominator of n and 4\/10 + 97\/a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3116 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve a + 5*k - 88 = 0, -a - 6*k - 14102 = -14207 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 10, 2, 5\/4, 0, 4, -0.22?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a be -6*3\/(-12)*2. Let t be a\/(-6)*2 + 6. Suppose v - l = -4*v + 18, -t*v - 3*l + 6 = 0. Let r(m) = m**3 - 4*m**2 - 4. What is r(v)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1\/3 or 2402.8?\nAnswer: 2402.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5787? (a) -19 (b) -0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 182*d + 186330. Let n be b(0). What is n rounded to the nearest one thousand?\nAnswer: 186000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(-2\/41)\/(h*h*h\/(h\/(h*h**(-2\/7)\/h))*h*h*h) assuming h is positive.\nAnswer: h**(-1367\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-36)\/45*(-70)\/4. Let g = v + -10. Solve -g*c = c - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -51*x**2 + 14*x + 5. Let j(v) = 77*v**2 - 21*v - 7. What is 5*j(c) + 7*o(c)?\nAnswer: 28*c**2 - 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 217608927?\nAnswer: 3, 97, 359, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 22329 + -22154. Solve -22*k + b = 307 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 1047*g + 3. Let n be w(-2). What is the common denominator of n\/270 + 2\/(-10) and ((-318)\/(-8))\/((-12)\/1)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2134460 - -0.4?\nAnswer: -2134459.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = 2*d - 4*x - 82, d - 3*x - 41 = 0. Let m = d + -29. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w + 51 + 141. Suppose 12*z + w = 4. Calculate the common denominator of (-106)\/(-3) - z - 1\/(-6) and -75\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -14? (a) 2\/15 (b) 4 (c) -5\/4 (d) 0.3 (e) 125\/848\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**3 + 13*o**2 - 33*o + 47. Determine l(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + (-1 - 3) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -12 - -22. Let z be 5 - (-1)\/2*-2. Suppose -3*b = -z*f + 9 + 12, 0 = -2*b + u. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20099 = 17*t - 173616. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1\/(-3) + 80\/15. Let j = 0 - n. Sort j, -2, -3.\nAnswer: j, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 53197422 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 15 = 4*s, 2*k + 5*s + 4 = 10*s. What is the closest to k in -1, -2\/7, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the first derivative of b**3\/3 + b**2 - 7*b - 7. Let m be c(7). Is m < 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = 13 + 41. Let t be (-3)\/(s\/102)*-3. What is the common denominator of -7\/8 and (t\/(-6))\/(-2 - 0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (3\/4)\/(1\/4). Let a be (0 - (-15)\/(-6))*-2. What is the second derivative of -10*p + 11*p - p**t + a*p wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*c - 3*c + c)*(-5*c**3 + c**3 - c**3) + (-2*c**3 - c**3 + c**3)*(-c + 0 + 0) - 3 - c**4 + 3 + c**4 - 2*c**4 + 2*c**4 + 2*c**4 - 4*c**4 - 4*c**4.\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3*(-2)\/(-30) - (-68)\/10. Let o(t) be the third derivative of 0*t**5 + 0*t**3 - 1\/840*t**8 + t**2 + 0*t**d + 0 + 1\/300*t**6 + 0*t + 0*t**4. Factor o(b).\nAnswer: -2*b**3*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 122 + -128. Let l(u) = 7*u + 32. Let c be l(q). Which is smaller: -8 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*f = 9*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the second derivative of -104*t + 0*t**2 + 1\/14*t**7 + 51\/20*t**5 + 17\/20*t**6 + 25\/8*t**4 + 0 + 3\/2*t**3. Find n such that q(n) = 0.\nAnswer: -6, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-81)\/(-18)*8*(-3)\/54.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -6*r**2 + 2*r - 12. Let j be l(-4). Let p = j + 146. What is the highest common factor of p and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -2 and 89 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 4*n - 1. Let l be g(7). Let m be (18\/l)\/(1\/180). Suppose 0 = -3*u + m + 96. What is the remainder when u is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-9)\/54)\/((-3)\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 4638528468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -18 = -8*q + 17*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v**3 - 35*v**2 - 34*v + 43. What are the prime factors of r(-34)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, h: 10, w: 6}. What is prob of picking 1 j and 1 w?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.3686 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.059 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 3 + ((sqrt(45) - sqrt(405))\/sqrt(3))\/(sqrt(5) - sqrt(25)\/sqrt(5)*4).\nAnswer: 2*sqrt(3)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r + 4*k - 0*k - 309, -2*k = 5*r - 1491. Calculate the least common multiple of 24 and r.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.92, -42, 4, 1 in descending order.\nAnswer: 4, 1, -0.92, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 37967*c**5 + 3*c - 5067 wrt c.\nAnswer: 759340*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = -3*w - 20. Let j = w - -26. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find i such that -2*i**5 - 4*i**4 + 168*i**3 + 16*i**2 - 640*i = 0.\nAnswer: -10, -2, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*y - 3 = 32*y. Which is the nearest to y? (a) 2\/9 (b) 2\/3 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -161\/30 and 61\/2850?\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 1798, 1, -1, -6 in increasing order.\nAnswer: -6, -1, 1, 1798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 4594 divided by 3?\nAnswer: 4594\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -2\/852295?\nAnswer: -2\/852295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 11 = -5. Let d = -7 + o. Calculate the least common multiple of 1 and (d\/(-2) - 2)*-22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 89 is divided by 24\/(-30)*(-3 + -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3284868936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (274 - 274 - 11*z)*(-116 + 31 - 110 + (-1 + 0 + 0)*(-2 - 3 + 3) - 2 + 0 + 0)*(4 - 6 + 3).\nAnswer: 2145*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 293*i**3 - 1661*i**3 - 136*i**3.\nAnswer: -1504*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 39*m + 28. Let f = -168 - -283. Let s = f + -109. Let q(p) = 116*p + 83. Let i(t) = s*q(t) - 17*d(t). What is the first derivative of i(v) wrt v?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000020786503 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 11, -23, 7, 2, -44 in ascending order.\nAnswer: -44, -23, 2, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13714 is divided by 4564?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fcccccfcfffccfcccc. Give prob of picking 2 f.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1766*y + 1607112 = 1817*y. Does 312 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in -2\/7, 1\/9, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 117 minutes before 4:02 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + -8 + 5 - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -596*a - 730. Let g be r(-87). What is g rounded to the nearest 1000?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 56*h - 53*h - 9 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -3159*b**3 + 2*b**2 - 3 + 3155*b**3 - 9461*b**4 + 9443*b**4 in the form v*b**3 + p*b**4 + l*b + t*b**2 + k and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be (1 + 3 - (1 - 2))*3. Suppose 113 = 3*i + 4*f, -3*i + 4*f + 136 = b. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (13 - -34*15\/(-30))*(-39)\/6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -1 + 1 + 92 + 6627 + -6629\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-6)\/(-5) - (-1584)\/180. Solve 4*v - 3*v + s - 7 = 0, 4*s - c = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.0238 * 0.2304\nAnswer: 0.00548352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4\/3 (b) 6 (c) 0.2 (d) -2.7 (e) -4 (f) -2\/5 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -10 + ((0 - -3) + -6 + -10 - -3)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4085391?\nAnswer: 3, 479, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 195\/11, 0.009, -95, -5, 1.\nAnswer: -95, -5, 0.009, 1, 195\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47\/143405 and -49\/3?\nAnswer: 430215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 89552718?\nAnswer: 2, 3, 4975151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5461318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is (56961\/(-54))\/(17\/(-102)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 722 divided by -30?\nAnswer: -361\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 383, 763, 1143, 1523, 1903, 2283?\n\"Answer: 380*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 206\/40 + (-5 - -4) and -71\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -2014, -4149, -6290, -8437, -10590?\n\"Answer: -3*m**2 - 2126*m + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -45 + 75. Suppose n = l + 2*l. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that -6*o + 5*o - o + 1 + o**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 75665 and 1873865.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 37*g - 37*g + 43*g**2 as v*g + d + y*g**2 and give y.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 41 - 117 = -t, -4*p = -8. Let y be (-8)\/(-20) - (138\/t - 2). What is the nearest to -8 in 0, 0.1, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -359*o - 47. Let p(v) = 178*v + 23. Let t(z) = 3*a(z) + 5*p(z). What is the tens digit of t(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 8 divided by -97745\nAnswer: -8\/97745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in -0.3, 1\/4, -6\/11, -2, -5\/84?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 59 + -56. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x + 15 = 3*l, 2*x + 2*l + 230 = 228 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 79075 and 0.4.\nAnswer: 31630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -98 + 2.37\nAnswer: -95.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*r**3 + 892835*r**2 + 17855200*r + 89273500.\nAnswer: 5*(r + 10)**2*(r + 178547)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -359*k - 220*k + 15*k = 43992 for k.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -9, -54, -129, -234, -369?\n\"Answer: -15*c**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 870590993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 453227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -11332 (base 5) in base 7?\nAnswer: -2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -837 - -840. Let b(h) = 580*h**2 + 19*h - 70. Is b(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 less than 1.9324?\nAnswer: 2.1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5.15 + 213.85. Let i = z - 530. Let j = i + 311.0000474. What is j rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-three thirds of a decade in months?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 9*u**3 + 2*u**2 - 2. Let p(k) = -k**3 - 12*k**2 - 14*k + 21. Let z be p(-10). Let q(a) = 54*a**3 + 13*a**2 - 13. What is z*b(w) + 6*q(w)?\nAnswer: -27*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*t**2 + 2 - 2)*((-t + t + t)*(164 - 522 - 26) + (-8*t + 3*t + 3*t)*(0 + 2 - 1) + t - 2*t - 2*t).\nAnswer: 1556*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.14 + -2.46. Let z = -7.6 - m. Which is the smallest value? (a) -3 (b) 2\/3 (c) 0 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 39548 is divided by 1248?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -183 + 545\/3. What is the nearest to -2 in 2, 0.5, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -r**5 + 9*r**5 + 5*r**5 + (-r + 0 + 0)*(-3*r**4 + 4*r**4 - 2*r**4) + 2*r**5 - 2*r**5 + r**5 - 2*r**5 + 2*r**5 + 3*r**5.\nAnswer: 18*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7 and 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -1250, -5, 1, 7, 3 in decreasing order.\nAnswer: 7, 3, 1, -5, -1250","meta":{"dup_signals":{},"source":"comparison__sort_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: Rearrange (q + 3*q - 2*q)*(q - 4*q - q) + 0*q**2 - q**2 - 6*q**2 to m*q + o*q**2 + s and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 62916 and 1134.\nAnswer: 1698732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -264 + 764. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-5)\/3*((-4)\/30 + 0). Determine y so that v + 2\/9*y - 2\/9*y**3 - 2\/9*y**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -18 - -35. Suppose 6*j + 5*n - 15 = j, n = 3*j - b. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 36876 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be (26 + 980\/(-40))*(2 + 0). Solve -g = 1, -4*g = -w*h + 2 - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4092851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1860, 500, 2860?\n\"Answer: 2360*o - 4220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the first derivative of -r**4\/4 - 2*r**3 + r**2\/2 + 5*r - 129. Calculate s(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the third derivative of y**7\/5040 - y**6\/120 - 7*y**5\/60 - 6*y**2. Let t(h) be the third derivative of l(h). What are the prime factors of t(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4328.12 rounded to the nearest 10?\nAnswer: 4330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 4135305 * -0.3.\nAnswer: -1240591.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-48)\/(-42)*42\/(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1434788 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-6)\/8)\/((-24)\/3616)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*1355306.\nAnswer: 2710612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 756329897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.5 from 38989.12.\nAnswer: 38988.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 88624, -2 in descending order.\nAnswer: 88624, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1251720*a*t - 19*a + 38851008*t - 11 wrt a.\nAnswer: -1251720*t - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 2*y**2 + 107794*y - 2911907. Determine g(27).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -418*d + 6626 + 9807 = 967 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -539*a**3 + 979*a**2 - 99. Let f(h) = -11*h**3 + 20*h**2 - 2. Let n(o) = -198*f(o) + 4*k(o). Find the third derivative of n(t) wrt t.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i**2 - 5*i - 341. What is x(-21)?\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 37*94049.\nAnswer: 3479813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 185843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 5*s - 15 = 0, 4*s - 7 = c + 8. Suppose c*j = 9*j - 404. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 618804 and 257835.\nAnswer: 3094020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -603? (a) 1319 (b) 4 (c) 2\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 124 - -3d75a?\nAnswer: 3d880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 121 minutes before 4:53 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wss when three letters picked without replacement from slsgwgswsgwsss?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/5)\/(1496\/9350).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is g in -g**2 - 32645858*g - 266438011139041 = 0?\nAnswer: -16322929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 355 minutes before 10:56 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*q - 20 = -14*q + 5*f, -16 = 4*f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.055 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.2444 + -1.068. Round q to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1936335445.\nAnswer: 5, 11, 17, 2070947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2177 - -2471. Suppose 8 = -2*s - 2*s. Let g be (s - 40 - 0)\/(-1). Calculate the highest common divisor of g and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 divided by 9.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in -45897, 0.2, 368?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bydbylkg. What is prob of picking 1 g and 1 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 3*w - 2*w - 2*w. Let v(u) = -2338814 - 41*u + 2338814. Give v(p(c)).\nAnswer: 41*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + 0 - -4 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 332334809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 11036 = 56610*u - 56254*u for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 7866923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**3 + 20*v**2 - 24*v - 7. Suppose -102 = 5*p + 3. What are the prime factors of z(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36463 divided by -12336.\nAnswer: -36463\/12336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -342 = 4*q - 1274. Suppose -83 = -3*o - q. Let g = o + 140. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 15146396 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = r**3 + 7*r**2 - 4*r - 5. Let u = 377 - 375. Suppose -4*b - u*s + 64 = 0, -b - 4*s = -28 + 5. Calculate the remainder when o(-6) is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p - 63*p = -340 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lzlh when four letters picked without replacement from hzhhhlqlq.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 100 divide 49277273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1308*l + 3 - 4 - 3 - 1663*l + 6 to i*l + v and give i.\nAnswer: -2971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1608051*u + 1608051*u + 231*u**2.\nAnswer: 231*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z**2. Let x(f) = -5*f - 6. Let b(k) be the first derivative of -k**2\/2 - k - 12. Let r(w) = -6*b(w) + x(w). Give r(i(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37 - 73 + 135 - 25 - 264*z.\nAnswer: -264*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 339, 1146, 2171, 3156, 3843, 3974, 3291?\n\"Answer: -43*p**3 + 367*p**2 + 7*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -61459530 divided by 6?\nAnswer: -10243255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*q + 4*q - 48. Calculate the greatest common factor of q and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, w: 1, j: 2, d: 4}. Give prob of picking 1 n and 1 w.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the second derivative of -d**5\/100 + 7*d**4\/20 - 11*d**3\/3 + 84*d**2\/5 - 3*d + 710. Suppose l(f) = 0. What is f?\nAnswer: 3, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*k + 20 = -16. Suppose 28 = -4*o + 9*o - 2*q, k*q = 4. Calculate the remainder when 178 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d - 3*d = -2*u + 10, 0 = 4*d + 5*u - 18. Suppose -2*f + d = -0*f. Is f*(125 + 0) - 2*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -9*28\/(-63)*(2 - 1). Suppose 3*y - 12 - 3 = 0. Which is bigger: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 18128 and 96.\nAnswer: 108768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + i - 1)*(i**3 - 2*i**3 + 2*i**3 + (-3*i**2 + 2*i**2 - i**2)*(-4*i + 4*i - 2*i + (-34 + 34 + 10*i)*(-3 + 2 - 4)) + (2*i + i - i)*(-3 + 3 - i**2)).\nAnswer: 103*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1302c + 16?\nAnswer: -13016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h**3 + 7*h**2 - 7*h - 54. Let z = -141 + 135. What is the least common multiple of 12 and x(z)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 217838116?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1746?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j be -23 - -18 - (-2 + (-2 - -3)). What is the second smallest value in j, 0.06, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/81*9)\/((-6)\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in l**2 + l**2 + 9*l**2 - 2*l**2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 8184*r**4 - 8*r**2 + 453 wrt r.\nAnswer: 196416*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 1, d: 1, l: 1, g: 2, i: 1, o: 1}. What is prob of sequence dgw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the second derivative of k**4\/12 - 2*k**3\/3 - 5*k**2\/2 + 5*k. Solve a(d) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l\/(l*l\/(l\/l**(2\/23))*l)*l**(-21)*l**(2\/47)\/(l\/l**48) assuming l is positive.\nAnswer: l**(26977\/1081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 22 (b) 0.05 (c) 2\/53 (d) 275 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 905152116?\nAnswer: 2, 3, 11, 623383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6 - 31\/5. Let l = 87 - 607\/7. What is the biggest value in a, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/(-4)*32\/(-24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0962434248 to 5 dps.\nAnswer: 0.09624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = 193 - 197. Let x(s) = -2*s**3 + 3*s**2 - 3. Let r(j) = -3*j**3 + 4*j**2 - 4. Determine d*x(t) + 3*r(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(468))**2*2 + sqrt(468) - (sqrt(468)*2 + -1))*2.\nAnswer: 36*sqrt(13) + 1878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y**2 + 20*y + 199. Calculate a(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -0.5, 3\/5, 4 in descending order.\nAnswer: 4, 3\/5, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c = -3*c - 63. Does 5 divide c\/14*(-104)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 34 - (0 + 2 + 0). Let k be ((-3)\/2)\/(6\/l). Let y be 3*(k\/(-3) - 2). Solve y*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*w + 5*q = 5*w - 19, 0 = 2*w + 2*q + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 2.4 times -67\nAnswer: -160.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3485 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -14741, -117931, -398023, -943469, -1842721, -3184231, -5056451?\n\"Answer: -14742*b**3 + b**2 + b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 8 + 2. Let b(a) = -a + 14. Let s be b(g). Suppose 3*k = 5*t - 47, k + 7 + 32 = s*t. Solve o = -o - t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (-1 + sqrt(1584))**2 + -1 + (6*(sqrt(1584) + -2) + sqrt(1584) - (sqrt(1584) + -1)*-1).\nAnswer: 72*sqrt(11) + 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -96 + 39 + 57*u + 31 + 28 as q + n*u and give n.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/3*1)\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -p - 6 = -4*i, -2*p - 3*i = -0*i - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the second derivative of f**9\/1890 + f**8\/1680 - f**7\/35 - f**6\/20 + 23*f**4\/2 + 89*f. Let g(x) be the third derivative of z(x). Factor g(i).\nAnswer: 4*i*(i - 3)*(i + 3)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the first derivative of -2*b**3\/9 - 143*b**2\/3 + 96*b - 9023. Factor p(k).\nAnswer: -2*(k - 1)*(k + 144)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**20*q**1 assuming q is positive.\nAnswer: q**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 14441 + -14441. Solve 2*i - 23*j + 27*j + 4 = k, -3*i + 3*j = 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 259260 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -8*v + 9*v + 6, 0 = j - 2*v + 3. Let m = -7 + -1. Let f(g) = -2*g + 2. Let d(h) = 5*h - 5. Let l(i) = m*f(i) - 3*d(i). Determine l(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 450190784?\nAnswer: 2, 353, 19927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 796 divide 432228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 18042 and 33756?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 79\/272 and 278\/576 + (-344)\/774.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 262 or 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 258 is divided by 43?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z + 5*j = 13 + 5, -2*z + 4*j - 10 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 928 or 2366?\nAnswer: 2366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 42*z**2 + 5*z - 2. Let n(w) = -63*w**2 - 8*w + 3. Let u(l) = 5*n(l) + 8*p(l). Let d be u(-1). What is the greatest common divisor of 60 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -57*u + 24 = -54*u. Let o = 11 - u. Is o bigger than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15875*p + 16363*p + 8296 = 0 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 2 + 2*o**2 + o**2 + o - o + (o**2 + 4*o - 4*o)*(-2 + 5 - 1) + 1 + o**2 - 1 + 4760 - 4760 + 401*o**2.\nAnswer: 407*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 2594339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -3\/7, -1, 0, 11.\nAnswer: -1, -3\/7, 0, 0.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 4*h**2 - 3*h - 594 + 604 + 3*h. Let r(a) = -a**2 - 3. Determine -20*r(g) - 6*y(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 80 - 57. Let z be -1*(4\/2 + -3)*x. Let g = -141 + 325. Calculate the highest common factor of g and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*a + 3*a + 297*a**3.\nAnswer: 297*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -g**2 + g + 2. Suppose 5*v = v + 3*k + 12, -2*k - 8 = -3*v. Let y be m(v). Solve 0 = -4*i - 20, -i + 3 = -h - y*i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 31021 + 21?\nAnswer: 31042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p**4\/p)\/(p\/(p\/p**(-2\/7))))**(-5))**(-4\/7) assuming p is positive.\nAnswer: p**(460\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 98757032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3196 + -3373.1. Let k = l + 186. What is k rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 273 is divided by 32.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.95 + -2.6. Let p = w + 35.65. Let b = p + -35.0304. Round b to 3 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (5*(sqrt(117) - -1*sqrt(117)))\/sqrt(9).\nAnswer: 1 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 305863647.\nAnswer: 3, 131, 659, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 2, s: 2, q: 1}. Give prob of sequence sv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0.15 * -0.05156\nAnswer: -0.007734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 75 - 72. Let v(i) be the third derivative of 0*i + 0*i**3 + 1\/30*i**5 - w*i**2 + 0 + 0*i**4. Let b(x) = -2*x. Give v(b(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 7297a (base 12) to base 13\nAnswer: 53374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5462334 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -a5956 (base 13) in base 3?\nAnswer: -120011000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 5*t**2 - 9*t + 9. Suppose -4*i = 12, -f = -3*f + i + 11. Let w(c) = 5*c - 4*c - 2*c**2 + 5*c - 2*c - 4. What is f*u(m) + 9*w(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -5*v + 3. Let h = 12.3 - 12. Is v not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (10793*w**2 + 9815*w**2 - 19805*w**2)*(4 - 1 + 3 + (-1 + 1 - 1)*(0 - 1 + 3)) as x + n*w**2 + o*w and give n.\nAnswer: 3212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 84 = 3*z, -2*z = 2*r - 0*z - 42. Suppose 0 = 3*n - r - 36. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-5 + 12 - 4)\/1. Let f(m) = -2*m**3 + 7*m**3 - 11*m**3 + 2 - 3*m + 4*m**i. What is f(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*(3 + -1)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7 + -11. What is the closest to -3 in -1\/5, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 1.597526 years?\nAnswer: 0.01597526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (1*11)\/((-5)\/(-20)). Suppose -k + 11 = u. Let g = k - -35. Solve 4 = g*q - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 59\/5 of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9, -7, 31, 129, 311, 601?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 2, u: 4, k: 1, d: 4}. What is prob of picking 1 u and 1 i?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 354 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -0.2 (b) 4 (c) 0.5 (d) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 27192 and 32?\nAnswer: 108768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v**3 + 3*v**2 - 14*v - 8. Let r be a(-5). Find the first derivative of r + 16*q**4 - 9 - 11 wrt q.\nAnswer: 64*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the first derivative of -b**4\/4 - 3*b**3 - 27*b + 9. Let s(a) be the first derivative of t(a). Factor s(h).\nAnswer: -3*h*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -15 + 11. Let w = 0.5107 + -5.5107. Which is the closest to 0.1? (a) w (b) n (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.172 + 4.172. What is the nearest to t in 5, 0.05, -2\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - (((14 - 3) + -29 - -6 - -4) + 49)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be 12\/42 + 356\/28. Let u(v) be the first derivative of 7\/2*v**2 + v - 1\/3*v**3 + k. Determine u(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2012 + 20121?\nAnswer: 22210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 100011 (base 2) in base 14?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -130, -0.362, 2\/15, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 184 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2907\/(-38) + ((-2)\/4)\/1. Let r = a + 87. Let g(o) = -o**3 + 9*o**2 - 6*o. Let w be g(5). What is the greatest common divisor of r and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 100 + 14?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 7 = -2*n, -n = 4*z + 3*n - 24. Let g be 9 - (2\/z + 3). Solve t + t - h = -7, -g*h = -2*t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 586257 to the power of 1\/2, to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1541142?\nAnswer: 2, 3, 85619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 2.80313 take away -618.046061?\nAnswer: 620.849191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*k + 15*k - 75*k - 50*k.\nAnswer: -127*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -3403, -13610, -30619, -54430, -85043, -122458, -166675?\n\"Answer: -3401*w**2 - 4*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 779 divide 66077072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 12 - 10. Factor 2*w**3 + 10 - 10*w**z + 13*w - 7*w - 8*w.\nAnswer: 2*(w - 5)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(36)\/(sqrt(3) - sqrt(108)))\/sqrt(6).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 216678195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) be the first derivative of -70*c**3 + 216*c - 184. Find the first derivative of n(w) wrt w.\nAnswer: -420*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1*((9 - -2) + 2). Suppose 5*p + 5*n = 55, -4*p + 5*n = -0 + 1. Let w(o) = 2*o + 2*o - 5 - 4*o - 2*o. Let l(t) = -4*t - 11. Determine m*w(a) + p*l(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 112 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*h - 4 = 8*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 117215803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 2*o - 4 + 0 = 0, 3*o + 6 = 0. Let s be 3 - (w - 178\/(-56)). Is 1\/2 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y**3 + y**2 + 34. Let d be r(0). Let k(p) = p**3 + 15*p**2 - p - 7. Let v be k(-15). Let b be (-2)\/v - d\/(-8). Sort b, -3, 5.\nAnswer: -3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*p = -870 + 590 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 474 minutes after 9:42 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) be the third derivative of y**4\/12 + 3*y**2. Let v(z) = 3*z + 6. Let d(i) = -i - 1. Let o(m) = -6*d(m) - v(m). What is o(r(k))?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 181, 224, 293, 388, 509?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -0.052 greater than -767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3 (b) 4 (c) -3 (d) 0.099 (e) -6 (f) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7\/73 - -209\/657. What is the closest to 1 in 82, p, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rcrcrcrcrercrchchvrc. Give prob of picking 1 r and 2 c.\nAnswer: 56\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-9263)\/(-2)*2 + ((-195)\/15 - -10) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 750*j - 746*j = 2*v + 2, -2*v = 5*j - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 84057 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 1, a: 7, x: 1, z: 7}. Give prob of picking 1 z, 1 f, and 1 x.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 295 is divided by 72.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 35546 + 32782 = 777*u - 2529*u for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-345)\/86 - -6*3\/6 and -15\/14.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6013303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 8.81 times -0.3\nAnswer: -2.643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gjjj when four letters picked without replacement from gjgjjjg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 1 + 2*x)*(-134 + 135 - 99) in the form u*x + b and give u.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -1230, -0.3, -506 in decreasing order.\nAnswer: -0.3, -506, -1230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g be (88\/(-36))\/(-2) + (-1 - 0). What is the nearest to 0.6 in g, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17526 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -2*r - 1. Let g be z(2). Let f = -3 - g. Find the second derivative of -3*x + x + x - f*x**3 wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/20)\/(65\/(-2184)*18*-21)\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -13*m**2 - 6*m - 19. Let a(b) = b**2 + b + 4. Calculate -6*a(z) - f(z).\nAnswer: 7*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-18)\/4)\/(33\/6 - 6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = 4*t - 31, -2*t - 4*n - 2 = -6*n. Solve -t*l = 5*f + 3 + 5, 0 = 5*l + 2*f - 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19 + 12 + 13 + 89 - (8 + 11 + -9).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*h**2 + h**2 + 17*h**2 - 2*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*g + 2*g**2 + 2 + 2*g**3 - 2*g**3 - 3*g**4 + g**4 to c*g + z*g**3 + l*g**4 + h*g**2 + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -5 + (33 - 41) + -1 + (7 - 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be 11 - (-10)\/5 - 4. Suppose c = -5*w + 34. Suppose -4*m - q + 135 = 0, 2*q - 63 = w*m - 235. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from {k: 1, n: 1, t: 2, f: 1, c: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (54*f - 197 - 105*f + 50*f)*(3 + 17 - 4) to the form j + n*f and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 266600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -134*d + 159*d = 655450. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (sqrt(11) - 6*(sqrt(11) + 2)))**2.\nAnswer: 70*sqrt(11) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -522 + 3638\/7. Let f = -16255\/5999 - 4\/857. Let y = f - z. What is the third smallest value in -4, 1, y, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 132710.\nAnswer: 2, 5, 23, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 6000259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -89*b + 145*b - 78*b + 19*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 5*m - 3*n, -3*n = 5*m - 16 - 3. Suppose 4*w - 94 = m*w. Let u = -41095\/8 - -5129. Calculate the common denominator of w and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1145151 to the nearest integer?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, 2, 22, 34.\nAnswer: 2, 12, 22, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*c + 15 = -22*c. Suppose 5*l = 25, 7 = -2*v + 6*l - c*l. Solve 0 = -o + v*y + 14, 3*o + 24 = -4*y + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*t**5\/5 - 1058*t**4\/15 - 1134*t**3\/5 + 10066*t**2\/15 + 1832*t\/5 - 1384\/3 = 0. What is t?\nAnswer: -173, -5, -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 38747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -3*p - 17. Let t be u(-6). Let r = 1 + t. Let n be 2\/(-4)*r*0. Solve 3*l - 21 = -z + 4*z, -3*l + 2*z + 16 = n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m**4\/4 - 9*m**3\/8 + m**2\/8 + 21*m\/8 + 9\/8 = 0. What is m?\nAnswer: -1, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 142714013 is divided by 804?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from euueeueeuueuu. What is prob of picking 1 u and 2 e?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the third derivative of -1\/30*x**5 + 0*x**4 + 0*x**3 + 0*x + 71*x**2 + 0. Let d(j) = -63*j. What is d(t(o))?\nAnswer: 126*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be -6*(-1 + 2 + -2). Suppose 3*u = n + 6. Suppose 0 = -u*i - b - 3405, -1685 = -3*i + 5*i - 3*b. Round i to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 77 + -74. Which is the closest to v? (a) -1\/4 (b) -1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-4)\/16)\/(((-7227)\/18)\/(-73)))\/(3\/15)?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 - -3 - 3) + 2. Let p be (-3)\/(m*9\/1284). Let k = -125 - p. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -37.2 + 37. Suppose 3*v - 21 = w, -3*w + 3 = -v + 3*v. Let r be (-5)\/9 - (-2)\/v. What is the third biggest value in x, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9188444, -9188502, -9188560, -9188618, -9188676?\nAnswer: -9188734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 15*g**2 - 13*g - 7. Let p = -14 - -25. Let y(w) = 8*w**2 - 7*w - 4. Suppose 2*h - 6*h = 24. Calculate h*q(r) + p*y(r).\nAnswer: -2*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:50 PM and 1:11 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = q - 5*q + 8. Suppose -q*c + 6*c = 0. Suppose 5*z - 2*f - 121 = c, -6*f = -z - 3*f + 19. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 14 + 14031400?\nAnswer: 14031414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 28 = z. Let j = z - -42. Find the common denominator of -101\/12 and 11\/4*6 + (17 - j).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by 27795379?\nAnswer: 5\/27795379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnnnnnnnnnnpnnnnnnn?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1 - -2*(-116)\/240. Let f(a) be the second derivative of r*a**5 - 1\/45*a**6 + 1\/18*a**4 + 0 - 1\/9*a**3 - 3*a + 0*a**2. Factor f(g).\nAnswer: -2*g*(g - 1)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11207774519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-12\/11)\/b**(-3\/11))\/((b*b**(-1\/4)*b*b*b)\/(b*b**(-15))) assuming b is positive.\nAnswer: b**(-817\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**2 + 4. Let a be b(0). Suppose -4*w = y + 1 + 1, 72 = a*y - 4*w. Let u(t) = 16*t - 29. What is the remainder when y is divided by u(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2524136 to the nearest integer?\nAnswer: 1589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3105970?\nAnswer: 2, 5, 7, 44371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 476*k = 1221*k + 1000*k + 26175 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of -378 and 0.2.\nAnswer: -75.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + w = -21, -i + 0*w + 2*w = -14. Suppose -i*g + 39 = z, g + 2*g - 18 = -3*z. Find the second derivative of g*r + 5*r + 6*r**3 + 5*r wrt r.\nAnswer: 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2822379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjjjujejijiwdwu. What is prob of picking 1 d and 1 u?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k = 0, -3*m + 0*k - k - 9 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1542908 and 15460?\nAnswer: 7714540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 82*c = 74*c + i + 45, 5*c - 4*i = 18. Let x(u) be the first derivative of 38 - 43\/2*u**2 + c*u**3 + 0*u. Find the second derivative of x(v) wrt v.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 98*l - 100*l + 274. Suppose -5*k + l + 44 = 4*z, 36 = k + z. Let t = 60 - k. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2841, -64, 5, 3, -5 in increasing order.\nAnswer: -2841, -64, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -7618*a = -10512*a + 66562 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 34*c**2 + 3*c - 3. What are the prime factors of j(1)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 4*z - g + 6, 4*g = -3*z + 4. What is the greatest common divisor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**3 + 20*s**2 + 3. Let i be k(-20). Let z be (-80)\/(-3)*66\/55. Let w = z - 28. Solve 0 = i*u + w + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 28528 + -76520. Let d be (-4)\/(-14) + u\/(-3528). Is d less than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 - (-3 - (6 - 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -106*k**3 + k**2 - 5*k - 40. Let r = -275 - -274. Let m(i) = -i**3 - i - 2. Let s(n) = r*l(n) + 5*m(n). Find the third derivative of s(j) wrt j.\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 1 = -24. Suppose 14 - 4 = u*b. Calculate the highest common factor of 5 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the second derivative of 121*o**6\/90 - 22*o**5\/15 + 2*o**4\/3 - 11*o**3\/3 + 12*o. Let w(l) be the second derivative of h(l). Factor w(s).\nAnswer: 4*(11*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -2*n - 4. Let l be n\/3*(-3 + 0). Let h = 22 + -13. What is the greatest common divisor of l and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**4\/3 - 5060*a**3\/3 - 20228*a**2\/3 - 20224*a\/3.\nAnswer: -a*(a + 2)**2*(a + 5056)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t - 3*t + 6 = 0. Let a(d) = 2*d**2 - d**2 + 0*d**t. Let o(j) = -2*j. Determine a(o(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 102771390 to the power of 1\/3, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-24)\/21 - (10 + (-120)\/7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 244 minutes after 9:44 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 175*y + 60*y + 36*y = 1626 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 841329.15 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 7 times 830898?\nAnswer: 5816286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + -1 + 6 + -16 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -57 (base 9) to base 7.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 104598 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: Solve 3*t + 29 - 14 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/10*179\/((-22554)\/180).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -0.1, 1\/2, 29.5, -4, -1, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14466 + -14461. Let s(h) = 12*h - 3. Calculate s(w).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = -2*o + 8, 2*w = -w + o + 7. Solve w*q = k - 1, 2*k = k + 3*q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:14 PM and 3:02 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1538 + -661. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 6 - -4?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -11*b**3 + 12*b**2 - b + 8. Let g(n) = 34*n**3 - 38*n**2 + 3*n - 21. Determine -6*g(y) - 19*u(y).\nAnswer: 5*y**3 + y - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the third derivative of -53*l**4\/24 + l**3\/3 - 7*l**2. Let w be a(1). Let i = -35 - w. Does i = 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 25\/10272 and -29\/7704.\nAnswer: 30816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2 - 2. Suppose 24*o = 12*o - 24. Put g, -5, o in ascending order.\nAnswer: -5, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6 in -2.1, 354, 9\/2?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 45 and 425?\nAnswer: 3825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 109 is divided by 48?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(2*6*(5 + ((sqrt(13) + -1)*5 + 3)*-6) + -4))**2.\nAnswer: -576000*sqrt(13) + 6899200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 11790293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvqllvqlllllv. What is prob of picking 2 q?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -241315*z**3 + 50*z - 1033?\nAnswer: -1447890*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1545 - (-11 - -22) - (5 - 0). Calculate the greatest common factor of u and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -23432\/13 <= -1802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 3294255 - -0.2.\nAnswer: 3294255.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -523818844 divided by 4.\nAnswer: -130954711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find j such that -j**3\/2 - 3*j**2 + 55*j\/2 = 0.\nAnswer: -11, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 163 + k - 163 + 7*k. Let w(c) = 164*c**2. Calculate w(g(b)).\nAnswer: 10496*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = n - 2. Suppose 2*l = 49 - 15. Let t be r(l). Suppose -4*i - 3*d = -312, 4*d = -3*i + 8*i - 359. What is the greatest common factor of t and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-12)\/21)\/(40\/28). What is the nearest to c in -3, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -3*(-25)\/(-60)*(-8)\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 518586532 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/(w*w**3))\/(w**(-6)*w)*w**(2\/5)\/(((w\/(w**(2\/3)\/w*w))\/w)\/w)*((w**(1\/3))**(3\/19))**(-16) assuming w is positive.\nAnswer: w**(919\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 10252 (base 12) in base 9?\nAnswer: 31828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2 + -12. Is (-2 - 112\/3)*147\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z**2 - 25*z + 331. Calculate b(28).\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 5*s + 35 = 3*s, s - 10 = -3*l. Let c = l - 1. What is the first derivative of -2*h**3 + 2*h**3 + h**4 - c*h**4 + 3 wrt h?\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that 2*q**3\/5 - 9616*q**2\/5 + 11710752*q\/5 - 364962816\/5 = 0.\nAnswer: 32, 2388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*g**3 - 86343*g**2 + 86343*g**2.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from {k: 2, g: 1, r: 4, l: 3}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 7 times 352\nAnswer: 2464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 12589*w - 226541. Give h(18).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 6, -2, 5, -270, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -148 + 109 = 27*d - 174 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = g + w, 5*g + w - 44 + 42 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the second derivative of z**6\/72 - z**5\/60 - 5*z**4\/12 + 8*z. Let j(g) be the third derivative of y(g). List the prime factors of j(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2860 is divided by 99?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -71, 105, 0.\nAnswer: -71, 0, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 9160994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 3*r = -400, -2*r = -3*c - r - 1200. What is c rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 367461 and 126.\nAnswer: 5144454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (10 + 11 - 19 - 24*v**2)*(4*v + v - 4*v).\nAnswer: -24*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 7*n + 450. Calculate u(-70).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5.4 + -4.7. Put -1, -0.4, s, -4 in descending order.\nAnswer: s, -0.4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 6, x: 3, v: 3, j: 1}. What is prob of sequence vxqx?\nAnswer: 9\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/(b**6*b))\/(b**4*b))**36*(b\/b**(-4)*b**(2\/11))\/(b*b\/(b\/((b*b**(-1\/4))\/b*b))*b*b*b**(-5)) assuming b is positive.\nAnswer: b**(-17141\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p + 12 = -2*y + 9, 9 = 5*p - 4*y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - 5) + 7 + -21 + (10 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bibbbbi. Give prob of picking 2 b.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 1 = 3*u - v, 4*u + 5*v = -13. What is the units digit of 2 + u*(7\/2 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = -c + 4. Let y be (-366)\/(-8) - c\/(-32). Suppose -4*j + 3 = -y. Solve 0 = g + 4*g + v + 20, -3*g - 2*v - j = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 10*f - 5\/2*f**2 + 0.\nAnswer: -5*f*(f - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 11*n**2 - n**2 + 3*n**2 + 10*n wrt n.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -11, -7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 2540857, 5081717, 7622577, 10163437?\n\"Answer: 2540860*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.01307044 to 4 decimal places.\nAnswer: -0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-6*3\/12)\/((-693)\/(-504))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 54 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -14 + 0 - ((-31)\/31 - (-47 + 6))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 11 - 4433?\nAnswer: -4422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -35*f**4*t**3 + 3513*f**4*t - 90469*t**3 wrt f.\nAnswer: -140*f**3*t**3 + 14052*f**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 84584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (5 - 2) + -4 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y + 5*a = -55, 4*a + 7 + 0 = 7*y - 64 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 168*l - 841. Let v be i(5). What is the closest to v in 42, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 287179585 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 22 - 3*v - 74 + 243 + 122 as h*v + m and give m.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*26.0693.\nAnswer: -130.3465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 493262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 54 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -35067 + 70134 - 35067 + 3*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = w**2 + 23*w + 33. What is the smallest common multiple of n(-22) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -1\/1456592?\nAnswer: -1\/1456592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/6, 5, 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 8*m. Let o(p) be the third derivative of p**5\/60 - 11*p**2. What is o(s(f))?\nAnswer: 64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -244542 (base 9) to base 3.\nAnswer: -21111121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = -3*r + 40. Solve r = 2*d - 6*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1240361 - 4?\nAnswer: -1240365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 297009*u**2 - 7*u - 297020*u**2 + 954*u**4 - 1 + 1709*u**4 wrt u.\nAnswer: 63912*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor o**3\/4 - 10497*o**2\/4 + 6888000*o - 6885376.\nAnswer: (o - 5248)**2*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = -29244 + 30564. Solve -r = -s - 1322 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.624227 months in decades?\nAnswer: 0.013535225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + 9 = -2*y - 6*d, 9 = y - 3*d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is i in -1944\/7 - 2700\/7*i - 100\/7*i**3 - 852\/7*i**2 - 4\/7*i**4 = 0?\nAnswer: -9, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1392 and 1476564.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 732*x**2 - 3*x. Let s be f(4). What is s rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-nine quarters of a year in months?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 4 = 2*i - 0*j, 2*i - 2*j = -2. Let v be (0\/1 + -1)*i. Is (2\/4)\/(v\/(-44)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 110333 (base 5) in base 3?\nAnswer: 12021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 450812 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tlllltltllll. Give prob of sequence llt.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the first derivative of -d**4\/14 + 6*d**3\/7 - 24*d**2\/7 + 32*d\/7 + 14. Factor h(m).\nAnswer: -2*(m - 4)**2*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine h so that h**2\/3 - 1061*h - 109378\/3 = 0.\nAnswer: -34, 3217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u**2 - 426*u - 3216 = 0 for u.\nAnswer: -134, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 12*p - 44. Suppose -5*t + 222 = -t + 2*x, -p = -x. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-858)\/1820 + (-8)\/(-20))\/((-35)\/(525\/20))?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (8\/(-10))\/(8\/60). Let g = q + 12. Calculate the least common multiple of 11 and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4632.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*u**3 + 279*u**2 + 10017*u - 10290 = 0.\nAnswer: -49\/2, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(200)*-4)\/sqrt(4)*-1 + ((sqrt(40)\/sqrt(5) - sqrt(8))*-6)\/(1*sqrt(20)\/sqrt(5)))*5.\nAnswer: 100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jje when three letters picked without replacement from byeeleyeeybxejbjbxyl?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*f**2 + 153 - 153.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i - 10*i = -6048. Is i a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 24 and 15896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the second derivative of -1\/3*i**3 - 3*i**2 + 0 + 9*i. Let y(g) = 2 + 0*g + 3 + g. Determine 2*j(s) + 3*y(s).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 3489169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = w**2 - 6*w + 10. Determine p(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -110010 + 1?\nAnswer: -110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1033777 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4522, 11034, 19550, 30076, 42618, 57182, 73774?\nAnswer: 92400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1\/(-4)*-2*(-20)\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -14 + (4 - -6) + (-2 - -14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -744, -1485, -2226, -2967?\nAnswer: -3708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5209.5*0.2.\nAnswer: 1041.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 469 and 812?\nAnswer: 54404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 159293 = 70*x + 36298 - 30165. What is the remainder when x is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4.123243 centimeters in meters?\nAnswer: 0.04123243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.3 and 3236?\nAnswer: 970.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -2*t**2 + 8. Let d(j) = 86*j**2 - 22*j - 24. Give d(a) + 3*h(a).\nAnswer: 80*a**2 - 22*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i be (36\/24)\/(12\/560). Suppose -63*b = -i*b. Let h be 1 - (64\/35)\/2. Is b less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 370*w - 389*w + 220172. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 2832*n + 19836. Determine o(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + (2 - (3 + 3 + -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*(sqrt(1617)*-2 - sqrt(1617)) + sqrt(1617) + -2*sqrt(1617)*-3)\/((sqrt(396) - ((sqrt(396) - (sqrt(396) - -1*sqrt(396))*2) + sqrt(396)))*-3)*-4)**2.\nAnswer: 50176\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 85.46191mm?\nAnswer: 85461910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -6749512 divided by 43828\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 41*i - 37*i. Suppose 0*k - i*k = 5*u - 45, 3*k - 11 = u. Let s(x) = -4*x - 4. Let n(y) = -1. What is u*n(o) - s(o)?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00010711106195 to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = s**3 - 3*s**2 - 2*s. Let f be (0\/3 + -2)\/2. Let q(u) be the third derivative of u**5\/20 - u**4\/24 - 2*u**2. Let c be q(f). Calculate g(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -4\/17307639 and 91\/37656.\nAnswer: 138461112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(70)\/(-5*sqrt(7)*-4))\/(sqrt(4)\/sqrt(2)*6 - (sqrt(18)*2)\/sqrt(9)) + -2.\nAnswer: -2 + sqrt(5)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -5*t**2. Let o = 104 - 67. Let y(f) = 17*f**2 - o*f**2 + 13*f**2. Give w(y(j)).\nAnswer: -245*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sum -4439 and 2.8289871.\nAnswer: -4436.1710129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (2 + 3\/6)*12\/(-50)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4102 + 10*r**3 - 4102.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 15, 15*t - 15240 = 12*t + 3*b. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.14, 0.473, 0?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 30*a**2 - 659*a - 109. Give y(22).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {c: 5, z: 1, j: 5, e: 5}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor k**5 + 9*k**4 + 22*k**3 - 32*k.\nAnswer: k*(k - 1)*(k + 2)*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 3*o + 47 = 0, 2*x + 27 = 3*x - 2*o. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - n = -17475, -3*n - 5649 = -2*l + 11806. Suppose 427*u = 422*u + l. List the prime factors of u.\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11 - -31. Suppose 4*v = v + 5*q - 10, f = 3*v + q. Let i be 12\/(16\/4) + -3. Solve -3*k - 5*o - 15 = i, -7*o - 15 = v*k - 2*o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 284 - 291. Let v = 7 + -5. Suppose -2 = 5*q + 3, -v*j - 11 = 3*q. Sort 0, j, d.\nAnswer: d, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mwmmw. Give prob of picking 1 m and 2 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 22998 = 1272*v + 13903 - 23977 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 121*r**2 - 44*r + 44. Let o(h) = -8*h**2 + 3*h - 3. Let t be (-22)\/(1760\/144) + (-6)\/5. Give t*q(d) - 44*o(d).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, -122, 0.6548, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -54.8 - -64.812. Let w = q + -0.012. Let g = 48 + -243\/5. Put g, w, 3 in ascending order.\nAnswer: g, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -151*k**3*t**2 + 4*k**2*t - 3*k*t**2 + 5*k*t - t**2 wrt k?\nAnswer: -906*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by 4833.\nAnswer: 4\/4833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = 2*o + 2*o. Calculate the least common multiple of o and (-833)\/(-84) - (-13)\/156.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3332, 3332, 3334, 3338, 3344?\nAnswer: 3352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -42*z - 2. Calculate l(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -4*b - 26, 0 = -0*j - 5*j - 15. Let t be 15\/(-12) + (-9)\/b. Let u = 1 - 1. What is the biggest value in u, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*f - 41 - f - 23 + 44*f**2 - 42*f**2.\nAnswer: 2*f**2 + 7*f - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*b**4 + 3*b**4 + 0*b**3 + 5*b**2 - 2*b**2 - 4*b**2 - 57 + 5*b**3 to the form j*b**3 + s + a*b**2 + l*b + d*b**4 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0\/(12*2\/12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -28 - (5 - 100 - (49 - 43))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 16162523 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -104734.76 rounded to the nearest 100?\nAnswer: -104700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/37 (b) -1\/9 (c) 1\/4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 2*s**2. Suppose 0 = 85*d - 60*d. Let l(q) be the third derivative of 0*q + 0*q**3 + 5*q**2 - 31\/60*q**5 + 0 + d*q**4. What is m(l(w))?\nAnswer: 1922*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - j = 4, 4 = 3*j - 4*j. Suppose 3*i + h*i = 12. Solve -x + 4*b + 31 = -i*x, 2 = -2*x + 2*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 221, 220, 203, 158, 73?\n\"Answer: -2*g**3 + 4*g**2 + g + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1620 or 6\/7?\nAnswer: -1620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = a - 7. Let c = a - -169. Suppose 0 = -2*j + 8*j - c. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -44436 divided by 22218.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000118142203 to seven dps.\nAnswer: 0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1637025.\nAnswer: 3, 5, 13, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 84, 473, 1500, 3483, 6740, 11589?\nAnswer: 18348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 2736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d**3 + 54*d**2 + 50*d - 178. What is q(-53)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1353325326?\nAnswer: 2, 3, 43, 1223, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f**3 + 4*f**2 - 5*f. Let i be m(-5). Suppose -2 + i = -t. Let s = 1\/2 - 0. Is t smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -0.4 (c) 0.3 (d) -65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -9*o**3 - 3*o**2 - 3*o - 1. Let g be k(-2). Let p(n) = n**3 + 9*n**2 + 5*n + 2. Let s be p(-8). Calculate the highest common factor of g and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 69069.53 rounded to the nearest 1000?\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -13, -2, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 2*o**2 - 10*o - 5*o - 5 - 3 + 1 + 0*o. What is the smallest common multiple of x(9) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zrex when four letters picked without replacement from zrzzreezwxrz?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes after 12:09 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4 + 3 - -2)\/1. Let v(l) be the first derivative of w - 1\/6*l**3 + 1\/24*l**6 + 1\/10*l**5 + 0*l**4 - 1\/8*l**2 + 0*l. What is x in v(x) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 1, v: 2, a: 1, q: 1, j: 2, f: 1}. What is prob of sequence fqe?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -18 in -1\/3, 18\/67, 2\/3, -0.2, -6\/11, 1\/10?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zobpzzzzz. Give prob of sequence ozbp.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 103*d**3 + 15*d**3 + 9*d**3 + (-19 - d + 6 + 8)*(-3*d**2 + 6*d**2 + 6*d**2).\nAnswer: 118*d**3 - 45*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) be the second derivative of -o**6\/360 - 11*o**5\/120 + 5*o**4\/12 + 7*o**3\/6 - 12*o. Let k(y) be the second derivative of i(y). Is k(-11) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3717?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = -186 - -190. Solve 0 = 2*c + k + r, -4*k = -4*c - 52 + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r + 5*n + 272 = -0*r - 0*n, 24*n + 823 = -3*r + 8*n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28*c**2 - 25*c**2 - 91*c**2 + 176*c**2 - 30*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 10037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {i: 2, c: 17}.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.74 - -0.39. Let z = 35.7 - 34.83. Let k = z + s. What is the third smallest value in -3, 0.3, k, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -4*f - 3*a - 6, -f + 15 = -5*a. Suppose -4*s + 8 = 0, f*s = 4*l - s - 14. Let x(i) = -2*i + 2. Calculate x(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 + -2. Suppose -l*o + 2 = -5*i - 39, 4*o = i + 91. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {l: 1, a: 8, x: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 983.6 + -1077. Let w = -51.5 + -76.5. Let d = t - w. What is d rounded to zero decimal places?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) be the third derivative of -c**4\/8 + 5*c**2 - 16*c. Let i = -4 + 3. Give n(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3544540 - 4?\nAnswer: -3544544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/(-50)*4)\/((-22)\/(-330))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be (3*1)\/((-6)\/4). Let o = -8 + 9. Let g = o - l. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -0.5, -3, 15, -4.86, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o + 1 - 7. Suppose 0 = -t - c + 7 + 10, -o*t - 3*c + 39 = 0. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 52*t**2 - 14*t + 18. Let j be s(5). Let h = 4706 - j. Suppose -6*c - 674 = -w - 11*c, h = 5*w + 3*c. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -15 + 10. Let x(v) be the second derivative of -v**4\/12 + 8*v**3\/3 - 14*v**2 + 43*v. Let r be x(14). Sort l, 5, r in decreasing order.\nAnswer: 5, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4896694?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = 160 - 332. Let c be (p\/6)\/((-6)\/(-81)). Let q = c - -673. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -0.02997, -0.4, -4, 860.\nAnswer: -4, -0.5, -0.4, -0.02997, 860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 121113 + -1240040?\nAnswer: -1113422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w + 10*b - 2 = 0, 8 = w - 396*b + 392*b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 - 6*t**2 - 2*t**2 - 3*t**2 to the form h*t + x + l*t**2 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 55*l - 6. Let o(a) = 27*a - 3. Let w(f) = -6*c(f) + 13*o(f). Suppose -32*q + 30*q - 4*y = 6, 4*q + 3 = -5*y. What is the units digit of w(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (k + 4*k - 3*k)*(-2*k**2 - k**2 + 4*k**2)*(0 + 0 + 2)*(74 - 8 + 15) + 3*k**2 - 3*k**2 + k**3.\nAnswer: 325*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -71 - -75. What is the biggest value in t, 0.3, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/c**(11\/5))\/c)\/((c\/((c**(-14)\/c*c)\/c))\/c*c)*c*c\/c**(-15)*(c*c*c\/(c\/c**5))\/c assuming c is positive.\nAnswer: c**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 368*j**2 - 197*j**2 - 170*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 87373331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 17001278 to the nearest integer?\nAnswer: 4123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = -7*h + 5*h + 5539, 3*h - 8276 = i. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1520*y - 1528*y - 1410*y + 4458*y + 34*y**2.\nAnswer: 34*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 6, -8\/7, 1296, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -12.8610083 greater than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) be the second derivative of 7*m**6\/5 - 177*m**5\/8 - 795*m**4\/2 + 1765*m**3\/4 - 357*m**2\/2 - 2385*m - 2. Suppose w(p) = 0. Calculate p.\nAnswer: -7, 1\/4, 2\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 244 (base 5) to base 10.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 4252048, 8503966, 12755884, 17007802, 21259720?\n\"Answer: 4251918*f + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -m**3 + 13*m**2 + 10*m - 23. Determine q(13).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2056930, -4113850, -6170766, -8227678, -10284586, -12341490, -14398390?\nAnswer: -16455286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -475*a - 12. Let u(w) = -474*w - 9. What is -3*b(m) + 4*u(m)?\nAnswer: -471*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 113816 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 721\/2 + -372. Let c = -6343 + 76073\/12. Calculate the common denominator of w and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o + 6 = -3*i, -17364*o + 17365*o = 2*i + 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -326, -690, -1042, -1376, -1686, -1966, -2210?\n\"Answer: y**3 - 371*y + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*f = -2*f - 25. Suppose -f*d + 4*n + 3229 = 0, 2*d = -d + 3*n + 1935. Calculate the remainder when (d\/(-33))\/(1\/(-3)) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 11080387?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 0*u + 4*q = -20, -u - 6 = 2*q. Suppose -2*o = -2, g - 4*o - 2 = -1. Let l be (g - 0)\/(-1 + 2). Sort u, 0, l in descending order.\nAnswer: l, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5.2 + -5.2. What is the third smallest value in 0.142, -4\/7, -1\/2, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.042 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.14, 2, 17, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 48 + -42. Suppose 0 = -2*k - 2*q + 206 - 66, -5*k = q - 342. Let c = k - 52. What is the remainder when c is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s + 33*a - 8 = 34*a, -a + 4 = -5*s + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 5, -2\/7, 1.0077, -22, -1, -2\/15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(50)\/(sqrt(180) + sqrt(45)))\/(sqrt(45)\/(sqrt(27)\/sqrt(3)) + (sqrt(30)*-1 + sqrt(30))\/sqrt(6)).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1002 and 5678?\nAnswer: 17034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = 2*f - o - 12, 0 = f - 5*o + 7. Let k(g) = 20*g**2 + 10*g**2 - 6*g**2 - 2*g**2 - 1 - 2*g. Is k(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4305604 + 2?\nAnswer: 4305606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2 + 21. Let h(t) be the first derivative of -2 - 2*t**3 + 2*t**3 + f*t - t**5 - 18*t. Differentiate h(j) wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) be the second derivative of 0 + 16*o - 7219\/6*o**3 - 5\/2*o**2. Let c be y(5). Round c to the nearest one thousand.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l + 5. Suppose -4*m = 5*t + 15 - 55, 0 = -2*m + 5*t - 10. Let o be v(m). Suppose 5*g = -1 - 14. Sort g, o, -2 in decreasing order.\nAnswer: o, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 4*c**3 + 18*c**2 - 11*c - 5. Let k be f(-5). Solve -74*q + 77*q = k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in -5, 1.8, -0.07, 611, -0.2, -4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 33 and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002361843098 to four dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 735831997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*g + 38*g - 123. Solve 4*x + 12 = 4*z, 0 - 16 = 4*z + g*x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 523553552 divided by -524.\nAnswer: -999148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4 - -674235?\nAnswer: 674231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b, 1 u, and 1 z when three letters picked without replacement from {z: 1, b: 5, q: 2, k: 1, u: 1, j: 3}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -6*o**3 + 5*o**2 + 6*o + 5. Let t be j(-4). Suppose -587 = 6*p + t. Which is the third biggest value? (a) p (b) -2\/9 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1647, 6507, 14591, 25899, 40431?\n\"Answer: 1612*f**2 + 24*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -142, -50, 310, 1070, 2362, 4318, 7070?\nAnswer: 10750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -20*q**2 - 726*q - 221. Determine h(-36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 34 - 1164*k + 1164*k - 35*k**2 wrt k.\nAnswer: -70*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -r**3 + 5*r**2 - 3*r - 4. Let c be q(4). Let z = c + 2. Suppose 0 = z*f + p - 14, f + 4*p - 8 = 3*p. Solve -f = m + m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26 - 48 - (-14 + 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify b\/b**(-1\/5)*b**(-6\/11)\/b*((b\/((b**(1\/4)*b)\/b))\/b)**(-20\/11) assuming b is positive.\nAnswer: b**(6\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 95\/47208 and 107\/96.\nAnswer: 188832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u and 2 k when four letters picked without replacement from uukuuukuuuukkukkkkkk?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -3*q**3 + 5*q**2 - 3*q**2 + 1 + 5*q**3 - 6 in the form b + m*q**3 + w*q + o*q**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.7 + -3.3. Let t = 4 + m. Which is smaller: 1\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = r**3 - 5*r**2 + 4*r. Let j be t(3). Let h(i) = -i + 4. What is the lowest common multiple of 2 and h(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3457, 6914, 10371, 13828, 17285, 20742?\nAnswer: 24199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 188.96024 + -189. Let t = 13.04 - 13. Let g = i + t. What is g rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 3 and -2365006892.\nAnswer: -2365006889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 + -2.02. Let k = 0 - j. Sort k, 2, 5.\nAnswer: k, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 556, 569, 592, 625, 668?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 40013822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = y**3 + 15*y**2 - y + 7. Let r(s) = -61*s - 259. Let q be r(-4). Calculate k(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/9*2*(-1)\/(-4)*39?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 62830 + -7916471\/126. Let v be ((-2)\/6)\/(42\/81). Let k = v + s. Which is smaller: -0.1 or k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4 + 8. Suppose 4*m = -4*k - k + 63, -3*m + 61 = 5*k. Find the third derivative of 30 + k*p**6 - 30 + b*p**2 wrt p.\nAnswer: 1320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 128*l - 131.\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11\/((-935)\/51) - 3\/(270\/(-129)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that 3*h**5 - 33*h**4 + 102*h**3 - 42*h**2 - 105*h + 75 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000062418348 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1185229457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 15 - 8. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -461 and 5.\nAnswer: -2305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply 26.7 and 4.\nAnswer: 106.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 27 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 398155706.\nAnswer: 2, 13, 47, 97, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -4632*p**3 + 13*p**2 + 6*p + 8. Let n be b(6). Round n to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30126171281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**2 - 5608*z + 455514.\nAnswer: -2*(z - 79)*(z + 2883)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1025802 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Are 38312 and 38442 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = -13 - -9. Let w = -2 - 1. Let l = -1 - w. Sort l, -0.3, r.\nAnswer: r, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8716, -17081, -25446?\nAnswer: -33811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -3*g + 10. Let d be j(-7). Suppose 8*m + d = 3*m - 4*o, m + o + 7 = 0. Is (1 - m)\/((-4)\/(-18)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/140 - 76\/(-140)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3636 - -972. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000014514 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.04? (a) 240 (b) -4 (c) -9\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 8) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -80\/9*d + 19\/9*d**3 + 758\/9*d**2 + 0.\nAnswer: d*(d + 40)*(19*d - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5082*n**2 - 8697*n wrt n.\nAnswer: -10164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 4*q - 77. What is m(8)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-3)\/(-90))\/(((-110)\/212)\/11) and -119\/40?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -41 + -20 + (-41 - -82).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1010100101101101 + -11101010?\nAnswer: 1010100010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 332 is divided by 112?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.29 and 138.4?\nAnswer: 40.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 899124573 to the power of 1\/3, to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 165 and 9724836.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 225453, 450973, 676493, 902013, 1127533?\n\"Answer: 225520*o - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(108))*4 + (sqrt(3)*-1*4 + -5)**2.\nAnswer: 77 + 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 25.3304 to 1 decimal place.\nAnswer: 25.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:23 PM and 5:04 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*v = -2*v + 235. Let d = 94 + v. What is the remainder when d is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/24 and -3\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 230 = -9*q + 14. Let g = q + 321. 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 c be (10\/4)\/(2\/(-4)). Let l = c + 12. Suppose r - 3 = -5*j + 20, -l = -r - j. Solve -5*z = -r + 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 13) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4\/7 in 7, 5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -72 - -74. What is the least common multiple of r and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n**3 + 5*n**2 + 2*n - 6. Calculate u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**3\/m**(-4\/9))\/(m\/(m\/(m\/(m\/(m*m**(1\/10)))))*m*m*m**(-1\/12)))**18 assuming m is positive.\nAnswer: m**(77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by 7360958?\nAnswer: 3\/7360958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*p - 81*p + 2312 = 0. Solve 10*x - 24 = -p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4*((-3)\/6 - -1). Let t(j) = j - 4. Let p(i) = i - 3. Let z(b) = 2*p(b) - 3*t(b). Let y be z(5). Solve m*q + y = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -211*p. Let u(h) = 240*h. Give 6*m(g) + 5*u(g).\nAnswer: -66*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kkdkfsktgddfdddkt. What is prob of sequence fgs?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3484 and 4?\nAnswer: 3484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - j - 7 = 5*q, -5*j - 2*q = -4. Suppose j*i = -3 - 3, 9 = 3*t - i. What is the first derivative of -3*x**2 - t*x**2 + 2 + x**2 + 0*x**2 wrt x?\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*x**2 - 672*x + 9016.\nAnswer: 2*(x - 322)*(x - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-59 + 9 - 7)*(-a**4 + 4*a**4 - 5*a**4).\nAnswer: 114*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the second derivative of 29*l**4\/3 + 13*l**3\/3 + l - 8. What is the second derivative of n(i) wrt i?\nAnswer: 232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -27 - 41 + 12 = -8*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 4129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1 from -44.33529.\nAnswer: -43.33529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -273877 + -497?\nAnswer: -274263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 19122, 19026, 18912, 18774, 18606, 18402, 18156?\n\"Answer: -f**3 - 3*f**2 - 80*f + 19206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -8.02 to one decimal place.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*v - 4*v - 40. Let d = -1 + v. Let u = -7 - d. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 0 + -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 7 (b) -381\/20 (c) 0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -8*t**3 - 6*t**2 + 2*t - 5. Let x(l) = 4 + 3*l**2 + 3*l**2 + 4*l**3 + 3*l**3 - l. Let d(g) = 4*h(g) + 5*x(g). Factor d(m).\nAnswer: 3*m*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5786?\nAnswer: 2, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 136120774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0003411 to 5 decimal places.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 1571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3530500774?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -1012 (base 13) in base 5?\nAnswer: -32322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (r**4 - 2*r**4 - r**4 - r**2)*(34802 - 66777 + 34145)*(-4 - 1 - 1) to the form b*r**4 + h + y*r**2 + o*r + j*r**3 and give y.\nAnswer: 13020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 21.12 + -0.92. Round r to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the second derivative of -q**2 + 1\/12*q**4 - 2*q + 0 + 1\/2*q**3. Determine c(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 445109, 1780375, 4005839, 7121519, 11127433, 16023599, 21810035?\nAnswer: 28486759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -8.5 * 0.5.\nAnswer: -4.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = -267 - -380. Let n = r - 79. Calculate the remainder when 169 is divided by n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 143424 and 871002.\nAnswer: 83616192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -9? (a) -1\/3 (b) 0.3 (c) 2\/89 (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 103\/740 and -31\/1957892.\nAnswer: 9789460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -2*x + 6. Let l(m) = 3*m + 3. Let p be l(6). Suppose z = -4*f - 10, 3*z + f + p = -2*f. What is the units digit of y(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1870)\/(-552) - (-7)\/(-84). Let d = -1981\/690 + o. What is the common denominator of d and -80\/51?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -96*-363.1598.\nAnswer: 34863.3408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -48.129 less than -9?\nAnswer: 39.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -308, -4, -1, 3, -19, -5 in increasing order.\nAnswer: -308, -19, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 3*b + 2 = -1, -h = -2*b - 2. Calculate the least common multiple of 1\/((-1)\/(-3) - h) and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the second derivative of 0*z**3 + 0 + 3\/2*z**4 + 42*z + 0*z**2. Let d(s) = -s**2. Give q(d(g)).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 0 (c) -12 (d) 10 (e) 3\/2 (f) 6 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the third derivative of 1\/70*c**7 + 0*c**6 - 5*c**2 + 0*c**3 - 5\/12*c**4 + 0 + 0*c**5 + 0*c. Find the second derivative of k(b) wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-19)\/((-285)\/(-522630))*(-3)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 98066 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 40997\/61464 - 7\/20488. Factor 2\/15*j**2 + a - 4\/5*j.\nAnswer: 2*(j - 5)*(j - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -13914509, -13914507, -13914503, -13914497, -13914489, -13914479?\n\"Answer: a**2 - a - 13914509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 7340407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = z + 2*z + 21*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-19)\/(-7) - (-8 - -11). Let o = 4.7 + -5. Which is the closest to 1? (a) o (b) -3\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c - 28 = 4*p, -1602*p + 42 = -3200*p + 1599*p + 6*c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 334\/12 + 13\/78 + (-171 - -177)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 3*h - 16. Suppose 4*l = -3*w + 13, 4*w + 0*w = -h*l + 16. Solve 2*v + 2*u + 1 = -w*v, -v - 4*u + 7 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.9 times 3.7545\nAnswer: 3.37905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 4242, -5 in descending order.\nAnswer: 4242, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 12 = -0*r. Suppose x + 2*c = r + 3, 5*c = -5*x + 65. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t**2 - 6. Let f(i) = 325*i**2. Determine y(f(l)).\nAnswer: -105625*l**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 40 - 31.5. Let x = 8 - j. Let n = 906.8 + -907. What is the closest to n in 1\/4, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -z - x, 4*z - x = 2*z + 24. Suppose -z = -2*m + 4*m. Let l be (-30)\/(-63) + 1\/m. What is the smallest value in 5, l, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.05 - 0.35. Let d = u + 0.3. Let t = 0.100016 + d. Round t to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2791 less than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in c + c + 9*c + 4*c.\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.126 and 1830.\nAnswer: 1829.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9 + -5. Let l = -22 - -22. Suppose l = i - q - 2, -2*i + 3*q + q = -8. What is the third biggest value in -2\/3, i, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -99 + 45*t + 99 + 2*t + 0*t + 0*t + (-3*t - t + 2*t)*(1 - 1 + 1) + 0*t - 3*t + 2*t to i*t + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 149581 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 46*m - 36 + 100 - 48. List the prime factors of b(3).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 137\/115013118 and -49\/14025990.\nAnswer: 575065590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -12112 (base 3) to base 11\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9574 - -9577. Let t = -1 - 3. Which is the nearest to 10? (a) q (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 23*m + 7 + 4 + 33*m - 59*m. Give y(-13).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 312038 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 67 + -48. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 - 9)*(-4*i**4 - 2*i**5 + 4*i**4 - i**3 + i**3 + 2*i**5 + (4*i**2 + i**2 - 3*i**2)*(3*i**3 + 0*i**3 - i**3) + 4*i**5 - i**5 - i**5).\nAnswer: -48*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*b = -11*b - 23*g - 98, 12 = -49*g + 46*g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 6692507 >= 33462533\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*d = -21*d + 120. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -6*v - 2. Let w be m(-2). Let a = 184 + -154. Calculate the highest common factor of a and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 21205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f**2 - 10*f - 14. Let c be (-52 - (3 - 12))*-1. Suppose -62 = 15*g + c. Calculate v(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -w. Let r(y) be the second derivative of 0*y**3 - y + 0 - 5\/12*y**4 + 0*y**2. Calculate b(r(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -1931 >= -1889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8 - (4 + 5 + 2)) + (17 - -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 664*g - 63585. What is x(95)?\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u be 10\/(-1 + 3) + -3. Suppose -4*q + u*q + 298 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000300269643 to seven decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 45*q**3 + 162*q - 162*q + (0 + 2 + 0)*(q - q - 2*q**2)*(-8*q - 252 + 504 - 252) to v*q**3 + r*q**2 + m + x*q and give v.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 1, s: 1, x: 1, o: 8, v: 7, w: 2}. What is prob of sequence xow?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = -2*l + 12, -y - 32 = -l. Let m be y\/(-8)*4\/6. What is the second derivative of -5*f**2 + 5*f**2 - f + 2*f**m wrt f?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 398 is divided by 248.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x**3 - 6*x**2 - 5*x - 9. Let v be k(7). Suppose -v*m - 92 = 113. Let f = -285\/7 - m. Which is the closest to -1? (a) 2\/3 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-78)\/(-99) + ((-80)\/48)\/(20\/16)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -282530*b + 282604*b = -589 + 3549 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -3*n**3 + 2*n + 5*n**2 + 2*n**3 + 2*n**3. Let x(b) = -b**2 + 7*b - 3. Let y be x(7). What are the prime factors of j(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.082 + -0.118. Which is the fourth biggest value? (a) -4 (b) 0 (c) n (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3)\/3 + (-21)\/(-3). Let n(p) = 6 - p**2 - 14 + 12*p - 4*p. Calculate the smallest common multiple of 11 and n(m).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 10*s**2 + 7*s + 2. Let u(i) = 7*i**2 + 5*i + 1. Let k(w) = -5*o(w) + 7*u(w). Calculate k(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (((-24)\/(-40))\/(-3))\/((-9)\/10). Suppose 0 = -y + 3, 0 = 2*g - 0*y + 5*y - 21. Which is the second smallest value? (a) -2 (b) g (c) 1 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/10 in 1.9, 11, 3065?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -0.109, 223, 32, 5 in descending order.\nAnswer: 223, 32, 5, -0.109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = -263 + 30. Let g = 407 + p. Calculate the remainder when g is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the first derivative of 3\/4*v**4 - 6*v + 10 + 0*v**3 + 0*v**2. Find the first derivative of a(l) wrt l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/6*(9 + -3). Suppose -5*o + 219 = -n*o. Suppose -4*r + 82 - 18 = 4*w, 4*w + 69 = 3*r. Calculate the remainder when o is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 145113081*z**3 - 443018545*z?\nAnswer: 870678486*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 27\/2 of a micrometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -2*d. Let s(u) = -u**2 + 2*u - 1. Let p(b) = -520*b**2 + 1170*b - 585. Let a(l) = -2*p(l) + 1170*s(l). Determine a(v(n)).\nAnswer: -520*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2 + 2 - ((-46044)\/(-3540) - 10) - 1. Let x be 2*((-6)\/4)\/(-3). Which is smaller: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 33*x**2 + 39*x - 230. Is 2 a factor of i(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1 - 65)*35\/(-21). Find the second derivative of -w*g**3 + 8*g + 110*g**3 + 9*g**4 wrt g.\nAnswer: 108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qzm when three letters picked without replacement from {q: 1, z: 2, m: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -3 + 14*f - 11*f + 16*f - 8. What is the units digit of a(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.0469 and -17211638416?\nAnswer: 17211638415.9531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = -26.38 - -26. Let n = b + 0.08. What is the smallest value in n, 5, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-64)\/(-10) - (-2)\/(-5). Suppose -2*l - q = -4*l. Suppose r + 4*v - 351 = 0, -l*r + 1785 = 2*r + 5*v. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 33\/136 and -17\/60.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 425199721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -141 (b) 42 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -3040 divided by -68416?\nAnswer: 95\/2138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 935?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7074 - -7103. Let l = -4 + 7. Suppose -2 = -2*k, t + o = l*t - k. What is the remainder when 87 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 12) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -20\/3507 and 11\/9?\nAnswer: 10521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 578917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 382505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 1, e: 3, a: 3, n: 9, r: 2}. Give prob of picking 1 n, 2 a, and 1 e.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 3*r + 38 = 0, -5*v + 57 = 2*r - r. Suppose v*k = 16*k. Solve -t = -2, 4*h + 3*t + 1 + 1 = k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.2, -37, 2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3 + 2. Suppose 0 = 2*c - t*o + 4, -2*o - o = -3*c + 3. Let y be (8*c)\/(24\/16). What is the highest common factor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1b5 + 2231?\nAnswer: 2038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*u**4 - 140751*u**3 + 21285824*u**2 + 54940404*u + 23611680 = 0. Calculate u.\nAnswer: -12945, -2, -6\/11, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 234 - 233.9999853. Round h to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**3 + 6*l**2 - 6*l + 9. Let d be x(-7). Suppose d*g - 6*g = -40. Calculate the remainder when (-1 - -1) + (-28)\/(-1) is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 189.7 and -0.17.\nAnswer: 189.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o**3 + o**2 - 14. Suppose q = -5*q + 84. Suppose -q*g = -10*g. Give p(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65 = 5*o + 3*w, 2*o - 64 = -5*w - 19. Let y = o - 5. Is 94*y\/1 - 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -16 + 23 - (-7 + 4 - 5). Which is the nearest to -0.3? (a) 0.4 (b) 0.7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4647*m**5 + 180*m.\nAnswer: 92940*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3516*o + 262334 + 40042 for o.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -95 and 5?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does -1 = 2\/11001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 873 and 104954.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the third derivative of 1\/120*l**6 + 0*l - l**3 - 15*l**2 + 1\/10*l**5 - 1\/24*l**4 + 0. Find i, given that d(i) = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the second derivative of 299*d**6\/6 + 3745*d**2\/2 + 2091*d. What is the derivative of g(i) wrt i?\nAnswer: 5980*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -31 = -0*b - 4*b + 5*f, -2*b + 11 = -f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -837, -2357, -3881, -5409, -6941, -8477?\nAnswer: -10017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 5*r + 2 = 0, -b - 1 = -2*r - 2*r. Let v = 3 + b. Differentiate -5 + 5 + v + 2*s**4 wrt s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4566822056?\nAnswer: 2, 570852757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 4, -99 in descending order.\nAnswer: 4, -4, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 4828894 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (5\/(-1))\/(365\/438)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1375665.\nAnswer: 3, 5, 91711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + (0 - (-1 - 0 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 715909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/12*(-22 + 1). Let f = u - -5. Suppose i = -5*y + 22, y + 10 = i + 3*y. Solve i*o + f = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 13 - 8. Suppose 27 = r*d - u, -35 = -5*d + 2*u - 6. Suppose 891 = d*c - 44. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 13572 and 72.\nAnswer: 27144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 5*b = 196 + 74, -5*k - b = -290. Calculate the greatest common divisor of 472 and k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 28756?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1535 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -21 - 22133?\nAnswer: -22220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*z - 3*j + 666 = 25*z + 36*z, -z + 15 = 3*j for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 27634.59052 - 27634. Round p to 2 decimal places.\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.08 times 0.15?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 102202020 - -110?\nAnswer: 102202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 751, 1506, 2261?\nAnswer: 3016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 3*x - 83. Let v be s(33). Put 2\/3, 1, v, 2\/5 in decreasing order.\nAnswer: v, 1, 2\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -287.7 - -287.6. Let h be 0 - (1 - (0 - -2)). Let u be (10\/(-4) - -2)\/h. Which is the closest to o? (a) u (b) -0.1 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a*(a\/(a\/(a\/(((a\/(a\/(a**(-1\/14)*a)))\/a)\/a))))\/a)\/a**(4\/13) assuming a is positive.\nAnswer: a**(503\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i + 3*z = 11 + 4, -i - z = 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 - (-6 + -5 + 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k**2 + 22*k - 34. Give s(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express f**3 - 2*f - 2*f - f as n + l*f + w*f**3 + g*f**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -2*-2*(-26)\/(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 + 2\/5*w**3 + 8\/5*w + 8\/5*w**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5 - 4. Let i(o) = -1 - 13*o - f - o. Let z be i(-8). What is the greatest common factor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is p in -2*p**3\/3 - 172*p**2\/3 - 3562*p\/3 - 3392\/3 = 0?\nAnswer: -53, -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -265 divided by -1892\nAnswer: 265\/1892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4 + 1303130315?\nAnswer: 1303130311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6869 - -6875. Solve -v + 7 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + -51 + 14 + 26?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 4, x: 5, y: 3}. Give prob of sequence jjx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 101 + -95. Let f(v) = -18*v + 6. Let s(j) = 17*j - 5. Calculate t*s(z) + 5*f(z).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:38 AM and 1:06 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -43*n**4*u - 13*n**3*u - 2*n**2*u - 3*n**2 - u wrt n.\nAnswer: -1032*n*u - 78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*i + 11*i = 58. Suppose -4*n - i = 35. What are the prime factors of -3 - 3\/(6\/n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -150417 + 150417 - 324*p**3.\nAnswer: -324*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8821?\nAnswer: 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -14? (a) 1\/5 (b) -2.7 (c) 0.4 (d) -1.8 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 45*b. Let p(f) = 7*f. Give w(p(x)).\nAnswer: 315*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1893 is divided by 172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/1569, 0.4, -4?\nAnswer: 2\/1569","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1635357002 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1210 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -27\/1360 and 19\/125320.\nAnswer: 4260880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o = 5*o - 365. Calculate the remainder when o is divided by 5740\/300 - (-4)\/(-30).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -92 in 1.6, 3, -47, -2\/1241, -2\/13?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 374 - 71. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*u + 5*k - 64, 3*u - 72 = 3*k - 0*k. Calculate the remainder when 67 is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -17 + 9. Let j = 81.9 + -90. Let z = h - j. What is the second smallest value in -0.2, z, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -7 + 11. Suppose -27 = l*q - 5*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(252) + 4 + sqrt(252) + sqrt(252) + (sqrt(252) - (sqrt(252)*6 - sqrt(252))))*5)**2.\nAnswer: -1200*sqrt(7) + 6700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -17 - -17. Suppose 0*n - 4*d - 58 = -2*n, y = -2*n - 3*d + 23. What is the greatest common factor of 95 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 6 + 4)*(16 - 3 + 80*h - 1 - 10) to j + c*h and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -790302 - -1.8.\nAnswer: -790300.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1011 (base 5) in base 15?\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w - 30. Let j be r(6). Let m = -6 - j. Calculate the remainder when 24 is divided by (-26 - 1)*1*(-10)\/m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 37 (base 16) to base 4.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -2\/13 (b) -0.1 (c) -410 (d) 352 (e) 5 (f) 3 (g) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/2*214\/(-3424).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 73182 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/5, -15\/4, -15\/7, 0.3, 5 in decreasing order.\nAnswer: 5, 3\/5, 0.3, -15\/7, -15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3251 = -0*i - i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -670 - -650. Let h be 8\/k + 0 + 10\/25. Let m(b) = b + 1. Calculate m(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 572 minutes after 5:35 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1520 (base 11) in base 2?\nAnswer: 11110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 142218509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n**3 - 7*n**2 - 8*n + 4. Let h(x) = x**2 + 6*x - 2. Let y be h(-5). Let k be u(y). Does 16 divide 3 + k\/(-9)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 41*i*l**3 - 591*i*l**2 + 399*i*l - 41*i wrt l?\nAnswer: 246*i*l - 1182*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -53 by 246.\nAnswer: -53\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0523926175 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 174425 and 194725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence llkw when four letters picked without replacement from {k: 3, l: 4, w: 7}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c. Let k be u(-2). Suppose -5*i + 362 - 367 = 0. Suppose 2*r + p = 3, 4*p + 0 = r + 3. Put k, r, i in descending order.\nAnswer: r, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7009847 is divided by 1909.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9)\/297*4554\/(-2208).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-20 - (10 - 15)) + (0 + -3 - 7)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1500418 is divided by 478.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -46\/7 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1290706734?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**(2\/3)*a)**(-11)*((a*a\/(a*a**(-1\/4)))\/a)\/a*a*a**(-6\/5) assuming a is positive.\nAnswer: a**(-1817\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1232 + 215?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*c + 2*c - c)*(-24*c**2 - 23*c + 23*c).\nAnswer: 48*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53406 = -3*x + 3*j, 2*j + 132259 = 7*x + 7620. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(21) + sqrt(21)*-3)\/sqrt(3) - (4 + 1*sqrt(7)))*2.\nAnswer: -6*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1919.6, -1.7, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 8*g**2 - 4*g. Let f(q) = 7*q**2 - 5*q. Let v(o) = -4*f(o) + 5*l(o). Let p(t) be the first derivative of 4*t**3\/3 + 252. Determine v(p(i)).\nAnswer: 192*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 53117405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -352 - -477. What is the greatest common factor of r and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -2, -638, 51 in ascending order.\nAnswer: -638, -2, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (0\/(-20)*(-2)\/(-6))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-1)*w**(4\/5)*w*w assuming w is positive.\nAnswer: w**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2337233?\nAnswer: 2337233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -36*w + 54*w + 37*w + (-2 + 1 + 3)*(-2*w + 3*w + w) - 2*w + 2*w - 2*w + 4*w + 2*w - 4*w as a*w + f and give a.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.0479 + -0.1521. Sort 2, 3\/8, v in decreasing order.\nAnswer: 2, 3\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 280, 272, 250, 208, 140, 40?\n\"Answer: -k**3 - k**2 + 2*k + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 276105539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 101 - 120?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 95780*q**2 - 3*q + 1. Let c be n(3). Suppose -c = 2*z - 75378. Let r = z + 738317. Round r to the nearest ten thousand.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3919421, -3919691, -3919961, -3920231?\nAnswer: -3920501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -20808 divided by 72\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 88, 678, 1636, 2962, 4656, 6718, 9148?\n\"Answer: 184*t**2 + 38*t - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 29 + 7 = 5*v, a + 2*v = -1. Suppose -4*q + q = -5*z + 21, -3*q + 3 = a*z. What is the first derivative of 11*f**3 - 4*f**z + 3*f - 3*f - 11 wrt f?\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 + -4. Let y be v*(0 - (-2 + 3)). Suppose -3*k = 4*n - y*k - 4, n - 6 = 3*k. Solve -j + 3*j = n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 559 minutes before 1:50 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -15678 - -391944\/25. Find the common denominator of h and 4\/(-14) + (-282)\/(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1641 - 1524. Solve -p = m - 122 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 2*b**3 + 8*b**2 - 4*b - 12. Let u be a(-4). Suppose u*g + 62 - 58 = 0. What is the closest to 0.1 in -4, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 203*z + 4709 + 7834 - 4891 = -3919 for z.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 8398546*y**3 + 621480.\nAnswer: 25195638*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -38*w**3 + 14*w**2 - 21*w - 57. Let d(c) = -36*c**3 + 12*c**2 - 18*c - 57. Calculate 7*d(g) - 6*s(g).\nAnswer: -24*g**3 - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g, 1 x, and 2 e when four letters picked without replacement from eiieeeeloeexxgoeeix.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.06014 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1 + -1 + (-3900)\/(-4) + 1?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 - 1 + 3)*(2*r**2 + 0 + 0) + (-5*r - 3 + 3)*(-2*r + r - r) + (-30 + 25*r + 30)*(4*r + 2 - 2) as j*r**2 + p + b*r and give j.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 14) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1537 (base 10) in base 6?\nAnswer: -11041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -47, -140, -301, -536, -851, -1252, -1745, -2336?\n\"Answer: -h**3 - 28*h**2 - 2*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 2 - w)*(-383*w - 2 + 381*w + 7) as q*w**2 + p*w + u and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.5 (b) 9 (c) 1 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/((-2)\/(-12)*1). Let h be 2\/6 - (-16)\/v. Suppose -4*p + o + 16 = 0, -4*p - o - 7 + 23 = 0. Is h less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.8683 + 0.1317. What is the fourth biggest value in -2, a, 4, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q = -q - 40. Let s = 36 - q. Let v = 7 + s. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 18909\/165 + 3 + 1. Let g = 531\/5 - v. Find the common denominator of g and -15\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2 + 8)\/(12\/(-56)). Let g be (106\/j - 12\/(-42))*-2282. Suppose 0 = -10*c + g + 513. What is c rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that 4*l**5 - 8036*l**4 - 80660*l**3 - 201900*l**2 = 0.\nAnswer: -5, 0, 2019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -441 - -455. Let v be (8\/16)\/(y\/8). Which is the closest to 4\/5? (a) 0.06 (b) -2\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1635539 and -1635533 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/54)\/((-1550)\/1860*28\/5)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/72*45)\/((153\/(-36))\/17)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 3*a - 17. Let d(c) = -5332 + 5263 + 8*c + 6*c. Let f(j) = -2*d(j) + 9*z(j). What is f(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -24.005+10\nAnswer: -14.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (126\/(-180))\/(1*(-28)\/70).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6 + (-1 - -2) + -4. Suppose -7*j + 6*j + o = 0. Suppose 4*g + 42 = 3*y, 2*g + j*g = 0. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*d + 14933122 = 63*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 2.2 from -103771764120.\nAnswer: -103771764122.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 4*w + 118 - 208 + 190. Let g be v(-25). Let o(q) = q - 27. Give o(g).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*c**2 - 4*c**2 - 2*c**3)*(-c**2 - c + c) + 2*c**5 + 0*c**5 - 3*c**5 - 2*c**2 + 1 + 2*c**2 + 2*c**5.\nAnswer: 3*c**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 16*d + 176. What is r(-12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b be -8 + 32 - (-1 + -1 + 4). Solve -b = 2*y - 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -5f (base 16) to base 12.\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -c**2 + c**2 - 3*c**3 + 5*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/88304310 and -27\/6541060.\nAnswer: 176608620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 3*g**2 + 5*g - 5. Let u be c(2). Suppose -3*q + u = t + 2*q, t - 3*q = -7. Let y(m) = m**2 + 4*m - 3. Determine y(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2041 is divided by 156.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3684 - -3682.386. What is z rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/(-4)*6 + -584. Let g = w - -269. What are the prime factors of 10\/(-55) + g\/(-22)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 40*p**3 - 1 + 2*p + 3*p - 42*p**3 - 6*p**4 - 13*p + 10*p in the form g*p**2 + t*p**3 + f + u*p**4 + a*p and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1573) + -2)*4.\nAnswer: -8 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:28 AM and 7:51 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -2*j + 3. Let u be s(2). Let r = -1 - -1. Let t be -1 + (r + 0)*1. Is u bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 87.5 - 134. Let m = -35 - s. Let r = 12 - m. What is the closest to 0 in -1, -3\/7, r?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -199114 - -377405. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1298205 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 56 a factor of 224961968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -64*(-6)\/((-48)\/(-100))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 75794.0045 + -75821. Let f = o + 27. What is f rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 113 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 54 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -9499 to the nearest 100.\nAnswer: -9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -8\/30145 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 4*b**3 + b**2 - b. Let a be w(1). What is the highest common factor of 10 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 369375 divided by -123125?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = 915 - 496. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -192657719*k*o**4 + 908*k - o - 2388 wrt o.\nAnswer: -2311892628*k*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1 - -6*(-12)\/9. Let d = 26 - y. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 79377198 and 10?\nAnswer: 396885990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 495, -4, 4 in ascending order.\nAnswer: -4, 4, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*u + 5 + 19 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -23\/3? (a) 36 (b) -0.9 (c) -1285\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4738 - 4161. Which is greater: 581 or h?\nAnswer: 581","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1210 (base 10) to base 6.\nAnswer: 5334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -12.7 minus 6434?\nAnswer: -6446.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*2*sqrt(121) + sqrt(121) + sqrt(121) + -1*sqrt(121)*6)\/(5*sqrt(44)*2).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) be the second derivative of 191*u**4\/6 + 896*u. Let o(i) = -6*i. What is o(y(p))?\nAnswer: -2292*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 33\/5 of a milligram in micrograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1903 - -905. What is the tens digit of (1\/(3 + -2))\/((-2)\/x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-8185*6\/(-20))\/(3\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 4*a - 4. Let o = a - -7. Solve 4*j + o*g - 4 = 2*g, -5*g = -3*j - 26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 8*m**3 + 4*m**2 + 2*m - 4. Let a be k(2). Suppose -6*u + a = -226. Let j = u - 50. Calculate the lowest common multiple of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -q**2 + 14*q + 27. Determine a(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -186 + 180.35. What is o rounded to 1 dp?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(13\/5)*f**(4\/11) assuming f is positive.\nAnswer: f**(163\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -4*y**2 + 148*y + 104257. Determine h(-144).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3 - (1\/5 + (-28)\/(-10)). Let w be i*4\/12*3. Solve w*n + 3*n = 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53*l + 8208 = -49*l. Suppose -61*s + l = -80*s. Which is bigger: -110 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 200 (base 11) in base 13?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -5, -77.4, 4, 3\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**5 - v**4 - 2*v**3 + v**2 - v + 1. Let g(q) = 8*q**5 + 34*q**4 + 96*q**3 + 110*q**2 + 28*q + 6. Let n(x) = -g(x) + 6*r(x). Factor n(t).\nAnswer: -2*t*(t + 1)**3*(t + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*k**4 - k**4 - 3*k**4)*(4 - 1 + 0) - 1 + 1 + k**4 + (-11*k**2 + 14 - 14)*(-2*k**2 + 2*k**2 + 2*k**2).\nAnswer: -15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 142 divide 129143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 26 divided by 1\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/(-15) + (-48)\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(15) + sqrt(15))\/sqrt(3) - (sqrt(125) + sqrt(125)*-1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -5 + (57 - (-4 + 6)) - (64 + -57)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 211 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5857341 is divided by 2265.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 3*f**2 + 34*f. Does 14 divide q(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f**3 - 6*f**2 + 6. What is the least common multiple of 5 and k(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + 4*y = 2*p - 46, 44 = 2*p - 3*y. Let n = 35 - 51. Let r = p + n. Solve r*f - 16 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3718053.47 rounded to the nearest 1000?\nAnswer: 3718000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p**2 - 12*p - 15. Let h(u) = -u + 3. Let m be h(-10). Let d be c(m). Let v be 0 - 1 - -1 - 3. Put -5, d, v in descending order.\nAnswer: d, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 260\/3 + 44*o + 1\/3*o**2 = 0 for o.\nAnswer: -130, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 21924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p - 5*i = -22, -43*p + 49*p = 5*i + 26 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 86 - 604\/7. Are w and 102 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(2*((sqrt(98) - (-2 + 0 + sqrt(98))) + ((-1 + sqrt(98))*2 - sqrt(98))) + -3 + 3*sqrt(98) + 1 + -2 + sqrt(98)))**2.\nAnswer: -3024*sqrt(2) + 31896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.2 and 1964.\nAnswer: 392.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -25\/52 and 19\/44205.\nAnswer: 2298660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -7*x + 525. Let l = 254 - x. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 204 = -2*s. Is 2\/(-5) + s\/(-20) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 226 and 816?\nAnswer: 92208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*j**2 + 2*j**2 + 2*j**2)*(89*j**3 - 7 - 91*j**3 - 16*j**2 + 15*j**2).\nAnswer: -2*j**5 - j**4 - 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d**(-18\/11))\/(d**(-1\/24)\/d)*(d*d\/d**(-5\/3))\/d**(-10\/7) assuming d is positive.\nAnswer: d**(10165\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 103*d. Let b(j) = 2*j + 1. What is s(b(z))?\nAnswer: 206*z + 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - -9) + (-14 - -9 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*d + 148 = -21*d - p, -2*d - 3*p = -50. Solve d = -9*i - 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b**3 + 45*b**2 - 52*b - 264. Determine g(-46).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (8\/20)\/((-9)\/135). Let c be (4*57\/r)\/(10\/(-5)). Solve 2*n = -3*b + 10, 2*b + c = 3*n + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = w**3 - 6*w**2 + 8*w - 5. Let k be f(5). Let p be 36\/k - 8\/(-20). Suppose 2*z = 2*q - 314, -q = p*q - 2*z - 791. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1675156 and 50750?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2308, -8721, -19424, -34411, -53676, -77213?\nAnswer: -105016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: What is -15 - (-4 + 1 + -2 - (-8 - 0 - -13))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 6 divided by -5282\nAnswer: -3\/2641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 2, -5, -3, 50752, -2 in descending order.\nAnswer: 50752, 2, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 4*x**2 + 8*x + 12. Let o(h) = h + 1. Let s(p) = -p**3 - 8*p**2 + 64*p - 25. Let z be s(-13). What is z*o(c) + k(c)?\nAnswer: 4*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3\/2 - (-69)\/(-30). Put 3, -4\/3, y in decreasing order.\nAnswer: 3, y, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the first derivative of 3*y + 2 + 1\/2*y**2. Differentiate x(c) with respect to c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 6812, 27502, 61984, 110258, 172324?\n\"Answer: 6896*u**2 + 2*u - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*y - 12*y + 9. Let q be (-32)\/18 + y - (-2)\/(-9). Which is the nearest to q? (a) -2\/13 (b) -1\/6 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 4*p - 2. Let f(y) = -5*y + 2. Let j(i) = -4*d(i) - 3*f(i). Let h = 17 + -12. Give j(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*m**4 - m**4 - m**4 + 4*m**4 - 2*m**4 + 0*m**4 + (-3*m + m + 4*m)*(2*m**2 - 2*m**2 + 2*m**3) + 1124 - 1124 + 29*m**4.\nAnswer: 33*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (((-128)\/24)\/(-8))\/(((-88)\/(-231))\/(-8))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 46956 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*d = 3*d - 105. Solve 0 = 4*m - d*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*i**4\/15 + 22179944*i**3\/15 - 27330553344612*i**2\/5 + 6735449066421684312*i - 33677218001562470262\/5.\nAnswer: -2*(i - 3696657)**3*(i - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = -3*d + 8, 0 = -3*r - r + 5*d - 12. Let m(c) = c**2 + 7*c**2 - 7*c**2 + c**r. Let u(p) = -5*p. What is m(u(v))?\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -685 divided by 5?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d = -6, 8*p + 2*d = 7*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 4 + p**4 + 85*p**2 + 0*p**4 + 4*p**3 - 86*p**2 - 3*p**4 as k*p**3 + t*p + v*p**2 + c + a*p**4 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 74977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o be 15\/25*4\/(-6). Which is the nearest to 0.5? (a) 0.4 (b) o (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4052.945 millennia in months?\nAnswer: 48635340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 92053314?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1131 - -1136. Let s(i) be the first derivative of -7\/20*i**4 + 44\/15*i**3 + 18\/5*i - o - 15\/2*i**2. What is c in s(c) = 0?\nAnswer: 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 463210.\nAnswer: 2, 5, 11, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v - 2*j = 26, 68*j + 18 = 2*v + 72*j for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be 12\/(-8) + (-20)\/8 - -3. Let a = -4 + 0. Let j be a\/(-6) - (-2)\/6. What is the nearest to j in 2, -3, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -15619 - -15618.92. Which is the third smallest value? (a) k (b) 0.029 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 1420, 2829, 4226, 5605, 6960?\n\"Answer: -p**3 + 1416*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from mgdggdcddjcddddjd?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 384559 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ynyy when four letters picked without replacement from {y: 11, n: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 2207 divide 514025749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.1 - 6.1. Let f = 391\/4 + -97. Let i be 2\/(-12)*(-3)\/(-4)*8. Which is the closest to i? (a) -1\/4 (b) f (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 4*x = -3*h + 16, 5*h - 131 = -3*x. Let n be (-1)\/((-2)\/(-4)) + 6. Let u = n - -3. What is the greatest common factor of h and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 + 15*h + 2*h - 5*h**3 + 3 to the form f*h + t*h**2 + c*h**3 + i and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50 + 0 = j + 2*q, 4*q - 152 = 4*j. Let i = j + 89. Calculate the remainder when i is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -31382790 and -5191.\nAnswer: -31387981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (-4 + 0 + (3*sqrt(128)*1 - (sqrt(128) + 1)*2))*-5)**2.\nAnswer: -2080*sqrt(2) + 3876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5\/5439 - 266491\/21756. Which is the fourth smallest value? (a) -1 (b) t (c) 0.5 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -5 (b) -4 (c) -2\/115 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 23\/(1173\/119) - 2\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -30*((-178)\/4 - -5). Suppose -5*j + 4*j = -i + 297, -4*i + 3*j = -n. Round i to the nearest 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -z + 7. Let f be (5 - 2)\/((-6)\/(-4)). Let y = f - -1. Calculate the least common multiple of y and x(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.001901 to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 929*a + 29 = 934*a - 4*o, 20 = 5*o for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - 0.0246.\nAnswer: -2.0246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -15, -130, -457, -1104, -2179, -3790, -6045, -9052?\n\"Answer: -18*u**3 + 2*u**2 + 5*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 3*r)*(0*r**2 + 3*r**2 + 2*r + 4 - r**2).\nAnswer: 6*r**3 + 6*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/6*1806\/172*2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 2, l: 2, q: 8}. Give prob of sequence nln.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 - 0.68971?\nAnswer: -0.38971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*q + 25 - 974*q**2 + 972*q**2 - 31*q.\nAnswer: -2*q**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 627291291.\nAnswer: 3, 11, 283, 67169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 2*i - 9. Let r be (-32)\/4 - -1 - -1. Let x(c) = c - 4. Calculate r*f(v) + 13*x(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yhs when three letters picked without replacement from stdsstxtdxxxxxhxy.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 336 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the third derivative of -11*f**4\/24 - 37*f**3\/6 - 3*f**2 - 111*f - 1. What is a(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -33*b + 30. Let d(m) = -m + 44. Let l be d(43). Let u be t(l). Let k(j) = -j**3 - 2*j**2 + 4*j + 4. What is k(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 + -8 + (47 - 13) + 6.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -59 - -85. Suppose -3*g + 0*q = -5*q - 5, 0 = 4*g + 3*q - i. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2341470*k**4 - 435074*k?\nAnswer: -28097640*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the first derivative of y**4\/4 - 5*y**3\/3 + 5*y**2\/2 + 3. Let n be x(4). Calculate the greatest common divisor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9.9 + -10. Let r = 4.3 + -4. Which is the closest to 0? (a) r (b) z (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38 = 2*a - 4*g, 0*a - 5*g = 3*a - 112. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 134816 is divided by 1174.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*i**3 - 372*i**2 + 4*i + 372.\nAnswer: -4*(i - 1)*(i + 1)*(i + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyyyyyy. Give prob of picking 2 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 - (-10 - (-22 + 4))) + 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 6607221829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -40634, -162543, -365724, -650177, -1015902?\nAnswer: -1462899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 36\/5 + -89\/70. Calculate the common denominator of 102\/(-280) + (-2)\/7 and z.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -115*x = -111*x - 4. Find the third derivative of -764*g**5 - 118*g - 706*g**5 + 1533*g**5 + 1 - g**2 - x - 2*g**4 wrt g.\nAnswer: 3780*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 310 is divided by 63?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 189 = 52*n - 31*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (((-112)\/42)\/8)\/(7\/12)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:38 AM and 12:39 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (k + 1 - 1)*(6 - 2 + 7) + (-2 + 2 - 2)*(2*k - 3*k - k).\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -63, -113, -155, -183, -191?\n\"Answer: l**3 - 2*l**2 - 51*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eze when three letters picked without replacement from ezeeeeeeeeeeeee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*a**2 + 2*a**2 + 4*a**2)*(0 + 1 + 1)*(0 + 0 - 1)*((-1 - 2 + 2)*(1 - 1 + a) - 1 + 1 - a + (a + 2*a - 4*a)*(0 - 2 - 1) - 3*a + 5*a + a).\nAnswer: -96*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 27642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 9984 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 5 + 4)*(-3 + 2 - 1)*(-8 - 8 + 3)*(4*a**2 + 9*a**2 + a**2).\nAnswer: 728*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*h - 3*h + 2*h)*(-179*h + 35*h**2 + 179*h) - 3*h**3 + 2*h**3 - h**3.\nAnswer: -282*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k\/((((k*k**8)\/k)\/k)\/k))\/k*k)\/k**2)\/((k**(-8)\/k)\/k**(-7)) assuming k is positive.\nAnswer: k**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the first derivative of 0*g**2 + 0*g - 1 + 2\/3*g**3. Let d(w) = -1 + 0 + 11*w**2 + 1. Give b(d(r)).\nAnswer: 242*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.1 - -0.6. Let h = 89\/110 - 9\/22. Let p = -57768.08 - -57768. Which is the closest to h? (a) p (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 2205920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Sort 195, 4, -1301.\nAnswer: -1301, 4, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -3*q + 1. Let r be o(2). Sort -2, r, 5, 0 in ascending order.\nAnswer: r, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = p**3 - 21*p**2 - 4. Determine n(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -109, -146, -171, -154, -65, 126, 449, 934?\n\"Answer: 5*i**3 - 24*i**2 - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 80 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 39351239?\nAnswer: 37, 1063547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n - 4641 = 66*n - 284*n for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 200 - 7?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1538 + -1534. Solve 3*r + 17 = -7*o + 3*o, 4*r + p*o + 16 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 5, w: 1, u: 9, p: 3}. What is prob of sequence wl?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 4050043759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2469, 9897, 22277, 39609, 61893, 89129?\nAnswer: 121317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 4*h**3 + h**2 - h + 1. Let b be a(1). Suppose k + 14 = w, -9 = -b*w + 4*k + 60. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -33*i - 7. Let f(t) = 1. Determine 5*f(r) + x(r).\nAnswer: -33*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10*(-7)\/252*(-21)\/(-28)*-2.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 7*m**2 + 5*m. Let x = 11 + -1. Let l(z) be the second derivative of -z**4\/3 - z**3\/2 - 6*z. Calculate x*l(g) + 6*d(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 8 - 6. Suppose 5*l + 67 = 4*g, -6*g = -2*g - u*l - 70. Suppose -n + 59 = -g. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -162, -290, -418?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - (0 - 8) - (2\/(-9) + (-103452)\/(-6993))?\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + -1*(sqrt(288) + (1 + sqrt(288) - sqrt(288)))*2 + -2 + 4 + -5)**2.\nAnswer: 48*sqrt(2) + 1153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2 + 111\/(-51))\/((-9)\/(-6)). Let f = -0.7 - -0.2. Let z = -0.1 - f. What is the third biggest value in 4, z, b, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the first derivative of 5*k**2\/2 - 2*k - 1. Suppose 4*v + 3*s = 5 - 4, 7 = 4*v + 5*s. Let z = v + 0. Give f(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9 - 2) + -1 + (2 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -1789*s - 1964. What is the remainder when n(-3) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 203 (base 6) to base 8.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 8 = 16. Suppose -2*s = a - 20. Let q be 2\/3 + s\/3. Solve -p = 4*f + q*p + 20, 0 = -p - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 74*u**2 + u + 17. Is k(-6) a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (13 - (-645)\/(-51))\/(8\/34). Put -5, 36, c in ascending order.\nAnswer: -5, c, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (r**2 + 0*r**2 - 6*r**2 + 3)*(2*r - 1 + 1).\nAnswer: -10*r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 276, 575476 in ascending order.\nAnswer: 1, 276, 575476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a**4\/7 + 177*a**3\/7 - 2643*a**2\/7 + 4107*a\/7 + 990 = 0.\nAnswer: -1, 3, 22, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*u = -62 + 80. What is the nearest to 0.1 in u, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = 4*u - 65077, -2*u + 23676 = w - 41385. List the prime factors of w.\nAnswer: 5, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5537*t + 11103*t - 5540*t.\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a - 3*b + 37, 68 = 3*a + a + 4*b. 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: Suppose 2*a**3\/5 + 20976*a**2\/5 - 2837718*a\/5 + 95364316\/5 = 0. What is a?\nAnswer: -10622, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 89121, 89120, 89119, 89118, 89117?\nAnswer: 89116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*f**4 - 10*f**3 - 60*f**2 + 90*f + 135.\nAnswer: 5*(f - 3)**2*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor z**2\/5 + 8*z - 41\/5.\nAnswer: (z - 1)*(z + 41)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:06 AM and 3:13 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 2*n = -0*n - 194, 5*y = n - 503. Suppose 1081 = 5*m + 4*s + 348, s = 5*m - 723. Let d = m + y. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -157\/126 and 73\/112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3183 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2608)\/(-92))\/(-4) + (-2)\/((-12)\/42)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h - 7 = -4*w - 3, 7 = -3*w + h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 6 = 0, 9*o - 4*o - p - 245882 = 0. List the prime factors of o.\nAnswer: 49177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61*s + 29*s - 978137 - 399853 = 0. List the prime factors of s.\nAnswer: 61, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 13) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 5, w: 1, g: 1, c: 2, x: 7}. What is prob of sequence xx?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a**(-11)*a*a)\/(((a*a**(-7))\/a)\/a))**(12\/13) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1674 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 3, -213, -0.08, -2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 565.6703l to millilitres.\nAnswer: 565670.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -39524408 plus -1.8?\nAnswer: -39524409.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 927 a factor of 113323896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -15*q**3 - q - 5. Is f(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*x - 19 + 19 - x as f + g*x and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1758141*c**6 + 2*c**5 - 10*c**2 + 427197?\nAnswer: -210976920*c**3 + 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5753957.\nAnswer: 11, 691, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 41090765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-64)\/((-210)\/200 + 1). What is the highest common divisor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (4352\/18)\/(-8) + 2\/9. Let a = l - -42. Suppose r = -0*r + a. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4378002202?\nAnswer: 2, 7, 10771, 29033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -432*d + 14613 + 4503 - 2268 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 321219 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**2 + 6\/5*r + 2\/5*r**4 + 2\/5*r**3 + 0.\nAnswer: 2*r*(r - 1)**2*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the second derivative of -f**7\/42 + f**6\/10 - f**5\/20 - f**4\/4 + f**3\/3 - 15*f. Let y(u) = 0. What is u?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 22130102313 (base 4) to base 13\nAnswer: 74ac33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6234 + 43640\/7. What is the biggest value in -5, -10\/27, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -7*n + 4. Let a(z) be the third derivative of -z**4\/4 + z**3\/2 - 8*z**2. Calculate -5*a(k) + 4*h(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8238 is divided by 8235.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 12151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 32 = -154. What is the remainder when x is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the third derivative of 0*w + 0*w**3 + 0 - 1\/120*w**6 + 1\/12*w**4 + 1\/60*w**5 - 2*w**2. Factor p(f).\nAnswer: -f*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d**3 - 46*d**2 - 600*d + 31311. What is m(43)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4326 + 4729 + 13801)*(-5 + z + 5) + z + z - z to the form m + g*z and give g.\nAnswer: 14205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*p + p - 6*p + (-2 - p + 2)*(-87 + 143 - 291) + p - 4 + 4 + (-2*p + p - p)*(2 - 6 + 3) + 2*p - 2*p + p)*(3 - 2 - 2) as m*p + v and give m.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((60\/5)\/36)\/(-2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18557 is divided by 4637?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l be (5 + -2)\/((-159)\/1908). Which is smaller: -760\/21 or l?\nAnswer: -760\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (-9*(-10)\/720)\/(13\/(-156))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:41 AM and 1:24 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v**2 + 3*v - 234. Let w be i(14). Find the second derivative of w*a**2 + 4 + 2*a**3 - 208*a + 134*a - 4 wrt a.\nAnswer: 12*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*h = -6*h + 1132. Let d be -2 + (2 - 0 - 4) - h. Let o be -1*(-2)\/((-8)\/(-124)). What is the greatest common divisor of d and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 5*l = 779, 3*u - 4*l - 4 = 1147. What is the greatest common divisor of u and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(550) + sqrt(550)*1)\/sqrt(10))\/sqrt(5) + (sqrt(22)\/sqrt(2) + 0)**2*-1.\nAnswer: -11 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = 4*d - 10, 2*d - 3*k = 2*k + 9. What is the closest to -1\/3 in -2, 7, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*d + 2*h - 24, -19*h + 20 = -4*d - 17*h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -49279790*v**2 - 2 - 1 + 49279681*v**2.\nAnswer: -109*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (23*m + 93*m + 113*m)*(2 + 3 - 4) as v + t*m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 30.38725 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 8*z**3 - 513*z**2 + 61*z + 198. Calculate u(64).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -68*o = -121*o + 265. Sort o, 1, -5, -22 in descending order.\nAnswer: o, 1, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the first derivative of 1\/2*l**2 + 15*l - 2. What is the remainder when 43 is divided by i(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 400327846?\nAnswer: 2, 379, 528137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 16*l**2 - 45*l + 2. Suppose -29 + 73 = 4*v. Let c(h) = 3*h**2 - 9*h. Let w(z) = v*c(z) - 2*k(z). Give w(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -116\/349, 2, 0.1, -1\/4, -6, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -36*q + 68 + 76 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20 - (-12 - -31) - (1 + 8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 452 * -1.\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -5, 3558179 in decreasing order.\nAnswer: 3558179, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 5, q: 3, v: 3, t: 8, x: 1}. What is prob of picking 1 q and 1 s?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l**3 - 32*l**2 - 141*l + 1198. Calculate n(35).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (3 + 12)*(-1)\/(-3). Put -5, p, -34, -2 in increasing order.\nAnswer: -34, -5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 860*c**2*u**3 + 43*c - 2*u**3 wrt c?\nAnswer: 1720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify x*x**8\/x*x*x\/(x*x*x\/x**10)*x*x**(-1\/8)\/(x\/((x\/x**22)\/x)) assuming x is positive.\nAnswer: x**(-41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 1525*c + 38716 + 934 = 0 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 36759619?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -0.645 times -0.1\nAnswer: 0.0645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 24072 and 47259.\nAnswer: 6427224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7312 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.222 times 0.3?\nAnswer: 0.0666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the second derivative of o**6\/2 + 25*o**5\/4 + 70*o**4\/3 + 40*o**3\/3 - 3*o + 20. Factor k(p).\nAnswer: 5*p*(p + 4)**2*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 83\/2 + -41. Let y be 5\/(-1)*(-2)\/5. Factor t*m**y + 0 + 0*m.\nAnswer: m**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qhqh. What is prob of sequence qhh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -2\/5, 1239, 4.\nAnswer: -2\/5, 2, 4, 1239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrcccmcmrmrr. What is prob of picking 1 c and 2 r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -13614715, -27229429, -40844143, -54458857?\n\"Answer: -13614714*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 316 a factor of 461233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 + -1100001011011?\nAnswer: -1100001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = o - 4. Let s = -9 - -11. Suppose -4*q - 5 = 3*n, -s*q + 2*n = -0*q + 6. Let c(t) = 3*t - 9. Determine q*c(b) + 5*a(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -y - 4716*y**2 - 9*y + 15315*y**2.\nAnswer: 10599*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -143736 by -339.\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 11508 and 4494756?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ggdlglc. Give prob of sequence gcgg.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 9 - 17*n + 34*n**3 + 14*n**2 - 35*n**3 - 4*n**2. Let l be z(8). Let i be 120\/(-2)*(-3 + 1 + l). What is the highest common divisor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*a*n**3 + 48*a*n**2*u**2 - 1503*a*n*u**3 + a*n*u**2 + 2*n**3*u**3 - 5*n**3 wrt u?\nAnswer: -9018*a*n + 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1377091817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = j**3 + 8*j**2 - 4*j - 5. Let q be i(-8). Suppose a - 432 = -a. Calculate the highest common divisor of a and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 170472 and 204?\nAnswer: 2898024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 25 - 26. Which is the closest to 2\/9? (a) f (b) -0.1 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-42)\/(-16))\/7)\/(12\/(-40)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1130 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*y = 19 + 31 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2143 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*j = -102*j + 11*j + 120872. Calculate the remainder when j is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -172 - -174. What is the nearest to d in -3, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 2*p**3 - p**2 + 1. Calculate the remainder when ((-96)\/64)\/(3*(-1)\/46) is divided by x(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 35 = 2*i + 9, -4*i = -q - 10. Let y(w) = w**2 - 11*w + 2. Let v(p) = p - 1. Let b(r) = 5*v(r) + y(r). Determine b(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((160\/560)\/((-255)\/21))\/((-12)\/(-240))?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -326 + 206?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = -40 + 36. Let n = 1.9 + 0.1. What is the closest to n in w, 7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) be the second derivative of -f**7\/360 + 25*f**4\/12 + 19*f. Let h(c) be the third derivative of d(c). Let p(y) = -y. Determine h(p(u)).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 2d (base 15) to base 14\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 218932 is divided by 38.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: What is -10 (base 13) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1316 divided by -28.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 26*q. Let p(l) = 2*l - 277. Give p(y(v)).\nAnswer: 52*v - 277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -162, 2766, 10720, 26214, 51762, 89878, 143076, 213870?\n\"Answer: 419*h**3 - h**2 - 2*h - 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0955077 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3647 and 39851.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/((-2)\/(-20)*5). Suppose -v*r - 2 = 14. Let y be ((-378)\/(-12) - (-2)\/r)\/1. Calculate the greatest common divisor of y and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8613 and 30.\nAnswer: 86130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*z = -8*z - 12. Let h = 32 - z. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -100034*o**3 - 4*o**2 - 6*o - 20667453 wrt o.\nAnswer: -300102*o**2 - 8*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -10174 to the nearest 100.\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 430 minutes after 7:00 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1054 + -141629?\nAnswer: -142683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(1\/7)\/n)\/n)**(-16)\/(n*n**0*n\/(n*n**3)) assuming n is positive.\nAnswer: n**(222\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5.102 - -0.102. What is the nearest to 0.1 in -0.5, 2, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*l**3 + 2*l**2 - l**2 - 4*l**3 wrt l.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 5, f: 2, o: 2}. Give prob of picking 2 l and 1 o.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 23*y**2 + 9*y - 13. Let b(f) = -12*f**2 - 5*f + 7. Give 7*b(a) + 4*c(a).\nAnswer: 8*a**2 + a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1307392 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -54 + -1537?\nAnswer: -1590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 1 + 2)*(-p**2 + 1 - 1) - 51*p**2 - 6*p + 6*p as z*p**2 + o*p + a and give z.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*w = 35*w + 154. Let i be 6\/w*42\/63. Let d(r) = -r + 1. Let q be d(2). Which is bigger: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*d**3\/11 + 8*d**2\/11.\nAnswer: 2*d**2*(d + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 31821 bigger than 31818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:36 PM and 9:56 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = -27 + 34. Let p = l - 4. Suppose p*w - 9 = 0, 10*w - 5*w = 2*h - 31. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 divided by 5.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d + 24747 - 24087 = 0. What is the remainder when 260 is divided by d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1110176017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 2856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((114\/(-15))\/2)\/((4\/(-12))\/((-180)\/(-108))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -23231 - -23508. Is 273 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -8 + (24 - (22 - 22))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -17 - -17. Let d(h) be the second derivative of p + 1\/24*h**7 + 7\/24*h**4 + 3*h - 1\/8*h**3 - 1\/10*h**6 - 1\/4*h**2 - 1\/20*h**5. Factor d(t).\nAnswer: (t - 1)**3*(t + 1)*(7*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 695 - 767 = -8*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -3*b - 1. Let r be 68\/238 + 1804\/7. Suppose 2*q - 5*l = r - 51, 3*q - 353 = -l. Calculate the remainder when q is divided by i(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3856457.0783 + 3856130. Let x = c - -0.0783. Let z = x - -326.99869. Round z to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the first derivative of 3*v**2\/2 + 21*v - 4. Let i be x(-5). Let w be ((-6)\/(-4))\/((33\/i)\/11). Put -5, w, 5, 4 in increasing order.\nAnswer: -5, w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 36\/(-42) + 3895\/665\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 683951 and 2043?\nAnswer: 6155559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 14884480 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -203853 - -32?\nAnswer: -203821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -7*j**2 + 10*j**3 - 2 - 8*j**3 - 2*j - 4*j**2 as g*j + z + p*j**2 + k*j**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d**3 - d - 3. Give g(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {v: 8, w: 4, j: 1, d: 2, k: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -179, -1217, -2137, -2879, -3383?\n\"Answer: 10*d**3 - d**2 - 1105*d + 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.47, 0.3, -0.04?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r = 5*s + 45, 4*r + 35 = -3*s - 0*s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -13*d**4 - 3*d**2 + 7355 - 14720 + 0*d**2 + 7358 - 2*d**3 in the form b + w*d**4 + i*d + h*d**2 + o*d**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 17 - 1. Let c = o - 13. Suppose -c*b - 20 = 2*w, -5*w + 19 = -5*b + b. Is -6 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -1137223 at most as big as -1137217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:25 PM and 5:35 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 745 or -2?\nAnswer: 745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 2 g when three letters picked without replacement from {x: 1, g: 3, y: 13}.\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 80 = -5*w, -1 + 4 = -z. Suppose 8 = 2*a, 0 = 3*k - a - w - 4. Suppose 0*n - 2*n = -14. Is n less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 12\/7 - (-6)\/21. Suppose 5*v + 23 = 3*g + 4, q*g + v = -9. Let i(x) = x**3 + 3*x**2 + x. What are the prime factors of i(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 427.8 + -328. Let x = 2.3092 + -102.3092. Let c = m + x. Sort 5, -0.4, -1, c in descending order.\nAnswer: 5, c, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.37858 in 0, -2, 1, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1795198 and 268?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor x**3\/4 - 401*x**2\/4 - 809*x\/4 + 1209\/4.\nAnswer: (x - 403)*(x - 1)*(x + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 19000202 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/290360 and -31\/10560.\nAnswer: 76655040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 2.8 - -1969945820769?\nAnswer: 1969945820771.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2*1 + 47 + -1. Let m = -117 - -122. Suppose -m*p + g = -p. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-20102)\/(-133) + (1\/(-7))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4341.00001086 + 4341. What is b rounded to 7 dps?\nAnswer: -0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.3 - 0.2. Let h = 388 - 389. What is the closest to k in 2, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 576\/(-840) + (-4)\/(-14). Which is the closest to h? (a) -10\/9 (b) 5\/2 (c) -4\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 times 563.665\nAnswer: 1127.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (117*528\/(-16632))\/(1\/5*(-5)\/14)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nv when two letters picked without replacement from jnvvv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1377) - (sqrt(1377) - (sqrt(1377) + sqrt(1377)*3))) + 2 + -2)**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 34936 and 362346664.\nAnswer: 3176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j*j**(-12))\/j)\/j**0 assuming j is positive.\nAnswer: j**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (-312*w**2 + 2 - 11385*w + 11384*w - 1)*(2*w - 3*w + 3*w) in the form l*w**2 + k*w + t*w**3 + v and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 4005698 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xxb when three letters picked without replacement from fbxpxjf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0.2 times -17807.6\nAnswer: -3561.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7 - 13) + 5 - (-11 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0 - (1262\/4 - 1). Let y = b - -293. What is the common denominator of y and 65\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the third derivative of 899*g**6\/120 - 97*g**5\/60 - 720*g**2. Find the third derivative of l(a) wrt a.\nAnswer: 5394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 5*p + 141. Give y(-24).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 22, -9\/217, -4.2?\nAnswer: -9\/217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*3*sqrt(484)*-1)\/((sqrt(132) + (sqrt(132) - (sqrt(132) - 3*(1*sqrt(132) + sqrt(132)))))\/sqrt(12)))**2.\nAnswer: 396\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 55027.\nAnswer: 7, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 90\/20*((-29)\/174)\/((-3)\/(-480))?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.737467 centimeters to meters.\nAnswer: 0.05737467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*y**2 + 47452*y**3 - 4 + 4 - 46064*y**3.\nAnswer: 1388*y**3 + 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10 + -24231124310?\nAnswer: -24231124320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 355688 divided by -3?\nAnswer: -355688\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -92 + 64. Let l = k + 26. Put 1, l, 4 in increasing order.\nAnswer: l, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 102e + 26ad?\nAnswer: 36dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 2*a = 120086, -12*s + 8*s = 5*a - 120051. What are the prime factors of s?\nAnswer: 11, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 23 - (-31 - (1 - 35))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 77 + -66. Suppose -j*w = 61 + 115. Let x(f) = f**2 + 13*f. What are the prime factors of x(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) be the third derivative of -s**5\/120 + s**3\/2 - s**2. Let h(u) be the first derivative of a(u). Let n(o) = -1 - 2236*o + 1 + 2258*o. What is n(h(l))?\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4909646556 to the nearest integer?\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 1727 divide 595815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 120138791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-2\/11)\/n**(18\/11)*n**17\/n*n**(5\/11) assuming n is positive.\nAnswer: n**(161\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 8 + 3911ba?\nAnswer: 391206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -83 - -83.03. Let x = 0.08 + f. Let u = x + -5.11. Which is the closest to 3? (a) 2\/9 (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -25436154 (base 7) in base 5?\nAnswer: -1042440113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 2 o when three letters picked without replacement from qoqhzzoozq.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 503 minutes before 9:39 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 28497 * -1.\nAnswer: -28497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 3*z = 21, -2*h + 5*h = z + 27. Solve -b + 8*d + 10 = 3*d, 5*b - 5*d = -h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let n = 19 + -4. Solve 2*z - n = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cgcf. What is prob of sequence cf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 3 + 0)*(3*r + 6*r + 3*r) + (-1 + 3 - 4)*(-6*r + 4*r + 3*r) - 24*r + 50*r + 6*r.\nAnswer: 42*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 376*x = -418*x. Suppose -7\/4*d - 1\/4*d**2 + x = 0. What is d?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 32134 - 32130. Let h(u) be the second derivative of 5\/7*u**l + 9\/20*u**5 - 27*u - 3\/14*u**3 + 0 - 3\/7*u**2. Let h(d) = 0. What is d?\nAnswer: -1, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*a + 3*n - 1270 = 3*a, a + n - 256 = 0. Is a 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 16507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add together 36 and 0.01.\nAnswer: 36.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -4\/119 or -0.0374?\nAnswer: -4\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the first derivative of 8*q**2 - 542. Let b(u) = 2*u**2 - 10*u**2 + u**2. Calculate b(h(s)).\nAnswer: -1792*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*p**5 - 448*p**4 - 73*p**3 - 550*p + 3361 wrt p.\nAnswer: -40*p**3 - 5376*p**2 - 438*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -86*s**2. Let w(n) = 10456703 - 19*n - 10456703. Determine w(f(c)).\nAnswer: 1634*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be (1 + -11)\/(12\/(-6)). Let g(s) = d*s**2 + 0*s**2 + s**2 - s**2. Let v(l) = l. Give g(v(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) be the third derivative of -l**4\/12 - l**2. Let h(b) = 21*b**2 + 28*b - 14. Let i(o) = 2*o**2 + 2*o - 1. Let f(a) = -h(a) + 14*i(a). Calculate f(x(c)).\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be -2*(-15)\/(-6) - 2. Let p be 5\/(3 - 13)*-4. Sort 0, p, i in descending order.\nAnswer: p, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3 - -1600?\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7216 and 10384?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -11 (base 4) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -20047\/12 + 1676. Find the common denominator of (-1*46\/10)\/((-41)\/((-1025)\/(-30))) and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) be the first derivative of 5*q**4\/2 + q**3\/3 + 3*q**2\/2 - 5*q + 4295. Let g(v) = 10*v**3 + v**2 + 2*v - 4. Determine 4*b(x) - 5*g(x).\nAnswer: -10*x**3 - x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the first derivative of -17*u**4\/2 + 3*u + 34. Differentiate w(f) with respect to f.\nAnswer: -102*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (21\/7)\/(1*2\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -b**5 + 6*b**4 - 12*b**3 + 10*b**2 - 3*b = 0 for b.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 89 + -107 + -104 + 164\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j = 5*w - 75, -4*j + 32 = -2*w - 52. Suppose j*y - 24*y + 25 = 0. Suppose y*u - 30 = -20. Solve 0 = -2*o - u, 2*f + 3*f = 3*o + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the second derivative of r**4\/24 - 5*r**3\/6 + 25*r**2\/4 - 9*r. Factor u(v).\nAnswer: (v - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -9*q + 4. Let t(m) = -17*m + 7. Suppose -j - 43 = -4*s - 2*j, 0 = -s + 2*j + 13. What is s*w(h) - 6*t(h)?\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the third derivative of y**4\/8 + y**3\/2 + 16*y**2. Let h = -235 + 232. What is u(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/85, -0.2, -1, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 79\/31 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -31 and 20.7?\nAnswer: -641.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -1177455 by -5.\nAnswer: 235491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = -48 + 47.7. Is -5 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 3*b - 3. Let l(f) = -f**2 + 18 - 7 - 11. Let x(p) = -p**3 - 3*p**3 + 3*p**2 + p**2 + 5*p**3. Determine b*x(a) - 2*l(a).\nAnswer: -a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 25675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-54)\/(-65)*(3770\/210 + -18) and 48\/35?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4649.3 + -4650. What is the third biggest value in -4, 1\/3, q, 0.36, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 4.285301km?\nAnswer: 428530.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -502666369*i**3 + 931098387 wrt i?\nAnswer: -1507999107*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.44 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -93 + -4?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -1971, 4, -3, -4, 1 in decreasing order.\nAnswer: 4, 1, -3, -4, -1971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 27*s**2. Let a(b) = 11*b + 232. Let f(x) = 5*x + 107. Let p(t) = 6*a(t) - 13*f(t). What is v(p(g))?\nAnswer: 27*g**2 + 54*g + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 580\/21 + -1153\/42. Determine h so that 1\/6*h**5 + 1\/6*h**4 + 1\/6 - 1\/3*h**3 + w*h - 1\/3*h**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 3*x + x - 378 = 0, -5*h + 376 = 3*x. Does 37 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 425 + -111. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*i - 216 = 20*i. Is 54 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-10)\/(-1))\/((-2)\/1). Let z be (0 - (-6)\/15)*g. Which is the biggest value? (a) z (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5 - -8. Suppose -5*z + 1631 = 3*k, -5*k - 1089 = -y*z - 90. Suppose -3*u = -2*s + z, u + 0*u = -3*s + 514. What is s rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1106 - 6092 = 1019*q + 7242 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -22.87 + -0.13. Let h = -22.1 - y. Let q = h + -0.5. Sort 5, -0.4, q in descending order.\nAnswer: 5, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-54)\/(-63))\/(((-48)\/(-42))\/2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 = -5*n + n - 3*d, 3*d - 30 = -3*n. Let s(o) = -o + 4. Let c be s(0). Solve c*u = u - n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 583?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 111\/14 and 89\/1585350?\nAnswer: 11097450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**2 - 2*l + 5. Let x be z(0). Suppose -g = x*g - 96. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find f such that -457*f**2 - 735*f**2 - 4*f**3 - 161600*f + 163782 - 420*f**2 - 566 = 0.\nAnswer: -202, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -i + 4 = 3*w - 2*w, -4*i + 20 = 5*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g**2 + g - 4. Let r(u) = u**3 + 8*u**2 - 3*u + 1260. Let p(x) = 6*d(x) + r(x). What is the units digit of p(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 434*g - 86809. What is q(200)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2320432541 - 5?\nAnswer: 2320432532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the first derivative of -2*l**5\/65 + 2*l**4\/13 + 10*l**3\/39 + 8. Factor k(c).\nAnswer: -2*c**2*(c - 5)*(c + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -28 * 2\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 14151*i = 14149*i + 5*q - 75, -i - 4*q = -60 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -18282, -18286, -18292, -18300, -18310?\nAnswer: -18322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*o = 407*o - 70*o + 29799 for o.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) be the third derivative of 0 - 5\/6*j**4 - 79*j**2 + 0*j + 1\/42*j**7 + 2\/3*j**5 + 0*j**3 - 5\/24*j**6. Find v such that r(v) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 4, -19107, -1\/97?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*j = -20271 - 4164. Suppose 451 = -4*x + j. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((((sqrt(88) + sqrt(22))*-2)\/sqrt(11) + 3 + 1*sqrt(2)*4)**2 + 1 + sqrt(18) + -1 + (sqrt(1458) + -1)**2).\nAnswer: -4428 + 189*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -2\/13, -0.2, -0.0653?\nAnswer: -0.0653","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -253? (a) 0.4 (b) 2\/7 (c) -3\/11 (d) -2 (e) -2.8 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 7512 not equal to 7527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-2))\/(((-20)\/8)\/(-22 - (-32 + 48)))\nAnswer: 76\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -y**2 - 12*y - 37. Let t be j(-3). Let q be 13 + (-2)\/(4\/t). What is the highest common factor of 423 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5 + -5. Suppose 4*w + 48 + 4 = u. Let k = w - -22. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 4*x + 6 = 0, 3*x = -1 - 11. Suppose 55*h - 51*h - 132 = 0. What is the highest common factor of h and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 31\/1584 and -32\/495.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*r**3 + 8*r - 12*r + 3*r)*(4 + 0 - 1 + (0 - 1 + 2)*(12 - 6 + 4) - 3 + 5 - 3).\nAnswer: 96*r**3 - 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -1586*i + 780315. Determine a(492).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-8073)\/(-135) - -2*(-3)\/(-30). Find the common denominator of -65\/36 and (7\/(-10 - w))\/(1\/(-24)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ucccucccucc. Give prob of sequence cccc.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*q - q + 8*q - 860472 = 0. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 40628457?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 27.865 + -4?\nAnswer: 23.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1049151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1943 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9 + -1)\/(298\/(-447)))\/(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r + 4*p + 20, 2*p = r - 3*p - 23. Suppose -r*u = -12*u. Suppose u = -4*j - k - 0*k + 1229, j - 4*k = 303. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 757747 is divided by 1427.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -9495 by -1899.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + 6 + -2 - (9 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -15 + 146*u**4 + 13 - 51 + 2*u**4 with respect to u.\nAnswer: 592*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*q - 0*q + 3*s, -2*s = q - 12. Let w(l) be the second derivative of -3*l + 0*l**3 - 1\/30*l**q + 0*l**2 + 0. Factor w(t).\nAnswer: -2*t**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-20 - (32 + -65) - -39) + -24?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c and 2 o when four letters picked without replacement from {r: 3, i: 3, o: 3, f: 7, c: 3, m: 1}.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = 3*x - 6, 0 = -4*y + 5*x - 10*x + 5. Suppose -6*n + 95 = -n. What is the lowest common multiple of n and y?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/3 - 148\/(-6). Let p = -40 + k. Let a be 4\/p - 2\/(-8). Solve -2*x - 9 - 1 = a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 19 + -16. Solve b*z = 2 + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -8262 - -8265. Calculate the least common multiple of x and 2067.\nAnswer: 2067","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 86\/3 >= 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -5\/4, -7723, 3 in descending order.\nAnswer: 3, -5\/4, -7723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -2*m**3 - m**2 + 2*m. Let u = -2 + 0. Let s be x(u). Calculate the greatest common divisor of s and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3\/7, -0.8, -13242, -50?\nAnswer: -13242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {e: 1, f: 2, p: 2, c: 6, k: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -801 = -5*r - 3891. Let z be 4\/10 - r\/5. Suppose -z = -5*d + 26. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-7)\/k**5*(k*k*k\/(k**5*k)*k*k)\/k**(4\/7))**(-12\/7) assuming k is positive.\nAnswer: k**(1140\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*o + 1734 = 34*o. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:22 PM and 11:32 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 473947088 and 4506.\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10939219, -21878442, -32817665, -43756888, -54696111, -65635334?\nAnswer: -76574557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*k + 2*k - 36. Let i = k + -1. Let v = i - -21. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**2 - 21*c - 25. Let a(d) = d + 1. Let w(s) = 4*a(s) + f(s). Let q be w(-15). Let z = -1 + q. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -13\/923721 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 34 and 182733?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -115 > -578\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2403 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -6*h**4 - 29*h**3 - 18*h**2 + 29*h + 24. Let i(o) = -3*o**4 - 15*o**3 - 9*o**2 + 15*o + 12. Let u(f) = -3*d(f) + 5*i(f). Factor u(p).\nAnswer: 3*(p - 1)*(p + 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 6) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.155 rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1595? (a) 2\/1259 (b) 7 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1744.1040253544 - 3?\nAnswer: 1741.1040253544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -999*l - 3. Let o(q) = -504*q - 2. Determine 6*g(k) - 10*o(k).\nAnswer: -954*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*z - 5*b - 3 = 4*z, -5*z = 4*b - 42. Suppose -3*p = -p - 18. What is the remainder when p is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:49 PM and 8:22 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -71*t - 143*t + 9844. Calculate the remainder when t is divided by -3*(2 - (-52)\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -297757\/46 - -6471. What is the common denominator of g and -58\/69?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 235826 = 73*f + 479*f - 213502. What is the remainder when f is divided by 399?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3\/7 (b) 0.1 (c) -0.4 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 191, 186, 169, 134, 75, -14, -139, -306?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 263*i**2 - 5*i**3 + 592*i**2 + 7*i**3 as c*i + y*i**3 + x + z*i**2 and give z.\nAnswer: 855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 25513*k = 25522*k - 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(3 + 9)*(-16)\/32*-856\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 8397 and 459.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -10.84 + 11.7. Let z = 0.017 + 0.233. Let h = z - v. Round h to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 1, -5, 47, -2 in ascending order.\nAnswer: -5, -2, 1, 7, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2308363 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3 - 91?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 1802*v + 1116*v - 204*v in the form m + s*v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = z + 12*z**2 - z. Let o(r) = -135751822 - 8*r**2 + 135751822. Determine f(o(m)).\nAnswer: 768*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 11, 3, 0 in ascending order.\nAnswer: 0, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*y + 10545*y**2 - 383522*y**2 + 2*y - 123068*y**2.\nAnswer: -496045*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve b - 22 = -4*g, g = 6*g + 3*b - 31 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -85498886*v**2 + 1566*v + 12549?\nAnswer: -170997772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*d = -2*d + 100. Let a be 2\/7 - (-37)\/(-7). Let b = a + d. Is b smaller than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6.9577 + -0.0423. Sort a, -29, 4 in decreasing order.\nAnswer: 4, a, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from skskskkssk. Give prob of picking 2 s.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -253*z + 3030. Calculate d(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qwwuwuqwqfwffuuwf. What is prob of picking 1 w and 1 u?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = 209 + -207. Which is greater: y or 26\/15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 26\/11 - 119\/55. Let a(x) be the second derivative of -2\/3*x**4 + 6*x - 2\/3*x**3 + 4*x**2 + 0 + g*x**5. Factor a(m).\nAnswer: 4*(m - 2)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26*n**2 - 17 + n**3 + 0*n**3 - 31*n**2 + 34*n**2 - 29*n**2.\nAnswer: n**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*f - 4*i + 9, 390*i - 393*i = 6*f + 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1838428947?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Are 50.2 and 281 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 18, 43, 64, 81, 94, 103, 108?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -6*k**2 - 4*k - 3. Let x(h) = 7*h**2 + 5*h + 4. Let y = -3 - 0. Let o(n) = y*x(n) - 4*l(n). What is the second derivative of o(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (210804\/(-7985))\/((-12)\/(-10))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-16)\/(-2)*(-60)\/720\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-34)\/(-4) - 4\/8. Find the common denominator of 2\/g - (-211)\/(-20) and (-696)\/(-495) - (-8)\/(-60).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + 5*q = 0. Solve -5*o + q*o + 25 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14670\/(-1141) + (0 - -5) + 6?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -d**3 - 7*d - 6*d**3 + 0*d + 0*d wrt d.\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1806\/595 - 754\/(-145). Find p, given that u*p - 2\/17*p**2 - 2450\/17 = 0.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -3*j + 3. Let g be w(5). Let p be (2\/g)\/((-3)\/(-6)). Let i(m) = -2*m - 4. Let l be i(-4). What is the smallest value in 1, l, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h**4\/2 - 12379*h**3\/3 + 25544066*h**2\/3 - 17023876*h\/3 = 0. Calculate h.\nAnswer: 0, 2\/3, 4126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1573903929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) be the third derivative of -2*i**5\/5 + 3*i**3\/2 + 21*i**2. Differentiate m(n) wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - 32 = -12, 0 = -2*j + f + 6. Let r = -0.09 - 2.31. Let a = r + 0.4. Sort j, 4\/5, a.\nAnswer: a, 4\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.11 * -6458\nAnswer: 710.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -4\/37, -4, 3, 325?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*b + 3*b + 72*b = -11*b + 219 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5796 - 5748 = 8*i. Let j(n) = -20*n + 13. Let l(z) = -z. Let w(f) = -j(f) + 2*l(f). Does 19 divide w(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q and 1 e when three letters picked without replacement from eeqqq?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2652 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 934 - -1241. Let o = 4287 - t. Let k be ((-1875)\/(-3))\/(1\/o). What is k rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + 2*i)*(-2 + 1 + 0) + i - 4*i + i + 0 + i + 0 + (3593 + 3736 + 3871)*(6*i - 2*i - 3*i).\nAnswer: 11197*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2025.6 and -1.67.\nAnswer: -3382.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 29303143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8004*a - 969*a - 6472*a + 1955*a - 10833*a to j + y*a and give y.\nAnswer: -24323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q. Let a(r) = -3*r**2 + 3*r + 3. Let n(i) = -6*i**2 + 5*i + 7. Let s(y) = -5*a(y) + 3*n(y). Let o(p) be the first derivative of s(p). Give o(v(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3266 - -3352. What is the highest common divisor of 2623 and x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 131906*x + 1978635. Calculate u(-15).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, -2656, 5\/2, 0, 17.\nAnswer: -2656, -10, 0, 5\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 3*q - 97. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (84 + 1)\/(0 + 1). Let i(w) = 9*w - 1. Let l be i(-4). Let d = l + h. Calculate the highest common factor of d and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that -v**2\/3 + 226*v\/3 - 75 = 0.\nAnswer: 1, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 935221 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d**5\/3 + 28*d**4 + 992*d**3\/3 + 1472*d**2 + 6656*d\/3 = 0. Calculate d.\nAnswer: -26, -8, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is a778c3 (base 16) in base 14?\nAnswer: 1659b11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -61.9 + 76. Let i = w - 6.1. What is the closest to 0 in -2\/7, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 16\/((-480)\/6)*-10*21\/2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 65311091047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d*d**1*d))**(2\/135))**(-2\/59)*(d**(-2\/7))**(-2\/39)\/(d**6\/d**(1\/14)) assuming d is positive.\nAnswer: d**(-8571539\/1449630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-2 + sqrt(200)*-1 + -3 - (4*(sqrt(98) - -2*sqrt(98)) + sqrt(98) + (3 + sqrt(98) + -1 - sqrt(98)) + sqrt(98) + sqrt(98)))**2.\nAnswer: -158994 - 9660*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2011 - -3417. Find the common denominator of 16\/(-72) + (-8)\/(-9) and d\/72 + (-6)\/(-27).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 145180 and 5950.\nAnswer: 725900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 79932 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 1, q: 2, t: 3, b: 1, n: 4}. What is prob of picking 2 q and 1 t?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 2, w: 3, y: 1, i: 3, n: 2, g: 1}. Give prob of picking 1 y, 1 n, 1 r, and 1 g.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = -576.1 + 576. What is the nearest to 2\/3 in v, -7, -1\/5, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*t + 2*t = 3*y - 55, -4*t = -y + 7. Find the third derivative of -31*i**2 + 42*i**2 - i**3 - y*i**3 wrt i.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 9*x + 52. Let m be r(-6). What is the third biggest value in -4, -3, m, -17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3498.78 - -3562. Let k = -63 + d. Let i = -0.78 - k. Which is the closest to -1? (a) -5 (b) 0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3902.00109 - 3902. What is x rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w such that -2*w**3\/7 + 165378*w**2\/7 = 0.\nAnswer: 0, 82689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -8179*m**2. Let w(k) = -1387*k**2. Calculate r(w(u)).\nAnswer: -15734506651*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r**(-3)\/r))**(-5\/14)*(r**(-11\/5)*r)**(-44) assuming r is positive.\nAnswer: r**(3571\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (2*j - 3*j - j)*(j**2 - 2*j**2 + 5*j**2) + (2*j**2 - 6*j**2 + j**2)*(-3*j + 4*j - 3*j) as o*j + t*j**2 + a + m*j**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -179633 divided by 1429.\nAnswer: -179633\/1429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*f + 4*f - f)*(-223 + 90 + 90 + 1 - 1 + 2 + (-2 + 2 + 2)*(-5 + 5 + 1)).\nAnswer: -234*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -16447.6319 to the nearest 10.\nAnswer: -16450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {l: 17, y: 3}.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmeem. Give prob of sequence em.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -4 + 2*x**4 + 4 + 35*x**4 + 14*x**4 - 139*x**4 - 4*x**4 + 4*x**4 - 2*x**4 + 3*x**4 + 0*x**4 - 4*x**4 + (3 - 3 - x**3)*(5*x - 6*x + 2*x).\nAnswer: -92*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4055 and 11?\nAnswer: 44605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 - -3. Let x = 18 + -14. Let k(n) = a + 1 + n - x + 1. Give k(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j. Suppose 3*k + k - 8 = 0. Let n(y) = 4*y**2 - 3*y**k + 0*y**2. Determine q(n(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of 1.37 and 0.1.\nAnswer: 0.137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -15\/1658 and 67\/12.\nAnswer: 9948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 19, x: 1}. What is prob of sequence xl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 767765 - 375?\nAnswer: 767380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 8 = 5*g + f, -1 = -4*g + 5*f. Let b be (1 - -3) + (-1 - g). Sort b, -2, 3.\nAnswer: -2, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (7*p + 28 + 3*p**2 - 28)*(4 + 4 + 0) in the form y*p**2 + a*p + x and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k = 5*z - 2 + 7, -4*z = -7*k + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 1120 divide 455081761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 110 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -2030111230 (base 4) to base 6.\nAnswer: -20153124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Do 138\/2157685 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Do -1 and -2\/99275 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -i**2 + i. Let r = -9 - -13. Suppose -h + r = 3*h. Let w(c) = -2*c. What is h*w(f) + 2*o(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 18336858 times -0.3\nAnswer: -5501057.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.038564185 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(3\/5)\/(h\/(h**(1\/2)\/h*h)*h)*((h*h*h\/h**(-2))\/h)**(-22)*h**(-2\/5)*h**(-4\/3)*(h**0)**1 assuming h is positive.\nAnswer: h**(-2719\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000429389673 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 70294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 1 + 7 = -4*j, 4*j = -5*x - 10. Let i be (1 + (-46)\/50)*-5. Let s = -6.5 + 7. Which is the closest to i? (a) -3\/7 (b) j (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -998 and -1175 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 9 + 6 = 0. Let z be 17\/m + 4\/(-6). Let c be 15\/4 - z\/(-20). Solve -l + c*q + 8 = l, q + 4 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7052438.\nAnswer: 2, 31, 113749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = -876.4441 - -875.1. What is c rounded to 2 decimal places?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -27\/22 - 3\/11. What is the third smallest value in f, -2, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 215 - -1203. Is o a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 434\/(-93)*18\/21\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 0*a = -44. Suppose -4*w - g + a + 6 = 0, -3*w = -3*g - 9. Suppose -w*h + 8 = -4. 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 6*13\/78*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -30 (base 4) to base 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 1182346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -2*b**3 + 2*b**2 + 2. Let k be y(-2). Let q = -16 + k. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -437 and -437 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 172*l - 179*l + 160447 + 60746. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - (2 + 2)) + (2 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the second derivative of w**3\/6 + 12*w. Suppose 0 = -2*o - 17 + 5. Calculate g(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0034423417 to five dps.\nAnswer: 0.00344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(6\/(-24)*9)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 687018793*b**2 - 4577201*b - 32 wrt b?\nAnswer: 1374037586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-33 - -28) + 6 + -1 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -2*b - 7. Let i(u) = -168 + 3*u + 4*u - 160 - 171 + 528. Determine -2*i(r) - 9*p(r).\nAnswer: 4*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -20*j + 40*j - 3*j**2 - 23*j - 3. Let i(o) = -4*o**2 - 4*o - 4. Give -4*i(a) + 6*q(a).\nAnswer: -2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*x - 3*x + 5*x - 2*x + 2*x - x + (-4 - 2 + 4)*(0 + 0 + x))*(-7 + 7 + 7).\nAnswer: -35*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 3*q**2 - q + 1. Let o be u(1). Suppose -21 = 4*b + o. Is b bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 145\/6 and -3*(-93)\/18 - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1777*w**3 + w**2 + 137*w wrt w?\nAnswer: 10662","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Collect the terms in 2*i**2 + 12*i**2 - 11*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from yillhlhlkliymlyll.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49*c + 56*c - 5061 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m**3 + 8*m**2 - 4*m - 5. Let q be a(7). Let g be 1\/((-60)\/65 - -1) + 4. Do q and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = 67 - 177. Which is smaller: s or -1404\/61?\nAnswer: -1404\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -11*v. Determine m(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (78\/(-572))\/((-105)\/490)?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 0*m - 17 = -5*m, -m + 7 = 2*n. Let d(q) = -1116 + 4*q - 1117 - 1120 - 1112 + 5581 - 1117. Determine d(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -i**2 - 2*i**2 - 52*i + 52*i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:38 PM and 11:06 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**3 + 3*o**2 + 16. Let n(a) = -a**3 - a**2 - 1. Determine 3*n(d) + q(d).\nAnswer: -2*d**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 63475301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/5? (a) 0.1 (b) -2\/11 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 16150 and 222490?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 135 minutes before 10:06 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c - 16. Let w be l(-8). Let m be (w\/(-12))\/(2\/15). Sort -3, m, 4.\nAnswer: -3, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -138 divided by -6\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1\/(-3))\/(6\/72). Are p and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 19.6465 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 55304408 divided by -674444.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 708353*j + 181603*j - 271970*j + 859557*j.\nAnswer: 1477543*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 3*d - 12 = 0, -5*d - 16 = -5*r - 4*d. Let l be r\/2*228\/18. What is the greatest common divisor of 19 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -18 or -79953?\nAnswer: -79953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -47*q - 65*q + 985 = 201 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*d - 9*d + 18*d + 8*d.\nAnswer: 26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -48484? (a) -0.016 (b) -0.3 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 19112386 * -1.5.\nAnswer: -28668579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Add -0.6 and -418.\nAnswer: -418.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -221245 + 221245 - 5*j**4 - 512*j + 23*j**2 wrt j.\nAnswer: -60*j**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-32)\/6)\/(10\/(-15)). Let j be (-26)\/m*6*(-12)\/18. Calculate the greatest common factor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7213 is divided by 2295.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (214\/(-136))\/((-4)\/4) and 15200\/(-28800) - 2\/(34 - -2).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 311501193?\nAnswer: 3, 53, 269, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 + 10 = -3*o + 3*v, 6*o = v - 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 11101000100011110100 (base 2) to base 9\nAnswer: 1711604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00178523 rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -a**3 + 11*a**2 + 11*a + 15. Let g be s(12). Suppose 2*j - 37 = -6*f + f, -j - 49 = -5*f. What is the greatest common factor of f and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 12\/60 - (1 - (-214)\/(-5)). Suppose -3*c - 187 = -2*y, -5*c - 4*y + l = 317. Let r = c - -84. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 7, y: 2, g: 1, p: 7}. Give prob of picking 2 b and 1 y.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 689963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor g**2\/5 - 526*g\/5 - 739032\/5.\nAnswer: (g - 1162)*(g + 636)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -7 + 81 + -81 + -65\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 0 < -691\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4502 - 682. What are the prime factors of c?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -5, -1, -18?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v be 43\/(-9) - (-2)\/(-9). Let s = v + 8. What is the second derivative of 6*l**s - 3*l + l - 2*l**3 - l wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/18*-3)\/(2\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 13*s - 11. Let t be f(4). Suppose -t*p = -98 + 303. What is the third biggest value in p, 2\/3, 2, -14?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 449755 is divided by 532?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 3 = -4. Find the common denominator of -47\/22 and a\/(-22)*(-9)\/21.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 14850486 by -918.\nAnswer: -16177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2508\/28 - (-9)\/21. Is 5380\/l + -1 + (-33)\/(-27) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -4, 8.416, 0.29, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t\/(t\/((t\/(t*t*t*t*t**6))\/t))*t*t)\/t**(2\/5))\/((t*t\/(t\/(t*t*t\/(t*t\/(t**(-2\/7)*t))))*t)\/(t*t**(1\/2)*t*t)) assuming t is positive.\nAnswer: t**(-533\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) -12013\/32 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1846 - 1846 - 40*l + 3*l.\nAnswer: -37*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5.2 + 2.2. Let g be 1 - (2 - (-6)\/(-9)). What is the nearest to g in -0.3, m, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 1865459899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7 + -8. Let k(y) = 394*y**2 - 3*y - 2. Is k(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 3*p**2 - 969*p - 11280. Give w(-12).\nAnswer: 780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 281515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(-2\/5))**(-1\/26))**(-4\/3) assuming k is positive.\nAnswer: k**(-4\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*l**3\/3 + 328146*l**2 + 71874632*l\/3.\nAnswer: -2*l*(l - 492292)*(l + 73)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.459 (b) -1\/18 (c) -0.1 (d) 24 (e) 5 (f) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.27 - -0.48. Let c = -1.8 + q. Let k = c + 14.79. Round k to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -83555, -83563, -83575, -83591, -83611, -83635, -83663?\n\"Answer: -2*a**2 - 2*a - 83551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -203351, -205606, -207861, -210116, -212371, -214626?\n\"Answer: -2255*k - 201096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2104 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.3 and -1007997513.5.\nAnswer: -1007997513.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 12 = 0, 0*k - 5*k + 20 = -5*j. Suppose 5*h - 7*h + 64 = k. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-p**2 - 2*p + 2*p + (-1 + p + 1)*(p + 0*p - 3*p))*(-9 + 3 - 5)*(-p - 2 + 2).\nAnswer: -33*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 76 and 1780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f + 2*t + 193566 = 0, -4*f + t + 11055 = -117988. List the prime factors of f.\nAnswer: 2, 5, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -2, -0.03, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 2*w - 169 = 2653, 0 = 5*v + 3*w - 3529. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3350 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = -494.2 + 494. What is the closest to 0.01 in 1\/9, 2, s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -26648 or -26646?\nAnswer: -26646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 5*a = 6150528, a + 3075264 = -2*r - a. Let z = r + -3002368. Round z to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 10, w: 10}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -6a31 (base 13) in base 4?\nAnswer: -3221000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:52 AM and 10:15 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 917270.\nAnswer: 2, 5, 29, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 2\/7, -3218\/3 in descending order.\nAnswer: 2, 2\/7, -3218\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 16146077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1351853 is divided by 663?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 9*b - 105131 - 42881 = 0, 3*b - 36997 = -o. What are the prime factors of o?\nAnswer: 37021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 4*i = -y + 1003, 2*i = -2*y + 1998. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1139720 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 10 (b) 1\/3 (c) -1\/25 (d) 1 (e) -3 (f) -0.5 (g) -20\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = 2*f + 8. Suppose -f*b + 240 = -0*b. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -10 + 16. Let u = 38 + -116. Let x be (-6)\/10 - u\/30. Solve 4*h + x = a for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:39 AM and 2:21 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 193 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wtw when three letters picked without replacement from {c: 1, w: 4, e: 2, t: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 3 + (3 - (6 - -2)) + 3 + -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.4, -1\/6, -1\/4, -3, -3.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 5943561407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3 (b) -37723 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 137 + -126 + -2 + -4 + 2 + -22.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*u + 8 = 9*u. Solve -x - x = u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2409150 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**3 - 8*j - 3. Determine q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 47 = -17. Suppose -5*p - 14 = -4*d + 432, -d = -2*p - 179. What is the smallest common multiple of (1\/(-2))\/(15\/p) and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-15)\/(-3))\/(2 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 2*v**3 + 9*v**2 + 1. Let m(k) be the first derivative of -k**4\/2 - 7*k**3\/3 - k + 65. Let r(q) = 6*m(q) + 5*n(q). Let r(c) = 0. What is c?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37\/2 of a centimeter in millimeters?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1702800 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8 - 7.987. Round o to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3) + (sqrt(384)\/sqrt(8) - sqrt(48)) + (sqrt(192)*5 - sqrt(3)))**2.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 15 by -10.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3464 + -3462. Put -5, 4, -143, t in ascending order.\nAnswer: -143, -5, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is l in 3*l**3 - 196858374*l**2 + 3229434951160323*l = 0?\nAnswer: 0, 32809729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 3) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 63 = -3*x + 3*s, -3*s - 129 = 2*x + 3*x. Let z = x + 53. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -312 (base 6) to base 2.\nAnswer: -1110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 14 + -2. Suppose -t = -3*z + 8, 4*z - a = -z + 2*t. Solve -11 + 3 = -z*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 86940 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 173860 and 14.\nAnswer: 1217020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = 5*v - 78 + 25, 26*p = 4*v - 70. Let y = -375883\/3490 - -1077\/10. Are p and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1601868860?\nAnswer: 2, 5, 17, 4711379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -6 (b) -3\/2 (c) -1.2 (d) -44 (e) 34\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-1674)\/(-24) - 1*1\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -o**3 - 62*o**2 + o + 62 = 0.\nAnswer: -62, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 231198564 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 53\/76 and -121\/190.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 3*x**3 + 19*x**2 - 2*x + 3. Let n(i) = -4*i**3 - 29*i**2 + 3*i - 4. What is -5*n(t) - 7*p(t)?\nAnswer: -t**3 + 12*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1562 - 1562. Factor 6\/7*o**3 + t*o**4 - 3\/7*o + 0 + 0*o**2 - 3\/7*o**5.\nAnswer: -3*o*(o - 1)**2*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v + 2*z + 1 = 19, -4*z + 24 = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**0)**32\/(m\/(m\/((m*m**(-2\/3))\/m))*m**(4\/7)))\/((m*m**(2\/3))**45*m**(-2)*m\/m**(2\/3)) assuming m is positive.\nAnswer: m**(-866\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -95*g - 47*g + 17*g to the form f + j*g and give j.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 6, b: 6}. Give prob of picking 2 b.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 28 - -10. Let x be (i\/(-3))\/(2\/6). Let g = -18 - x. Solve -g = -5*u, -u + 6 = -d + 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1202 - 101202000011?\nAnswer: -101201221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*o**3 + 0 - 1\/2*o**5 + o**4 + 1\/2*o - o**2.\nAnswer: -o*(o - 1)**3*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 28 = -9*c - 152 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12 + 4 + 9 - 225*r.\nAnswer: -225*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -2*b**2. Let o(i) be the first derivative of -39*i**2\/2 + 42. Determine r(o(t)).\nAnswer: -3042*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 14317 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a - 46*a + 708 = 18*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -173 + 164.42. Let q = 6.9 + o. Let l = q - -1.6887. What is l rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1)\/(-2) + (-21)\/(-2). Suppose 30 = -t*p + 12*p. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 4532 - -148?\nAnswer: 467a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v*(v*v*v**17)\/v)\/v*v**8)**(-6\/13) assuming v is positive.\nAnswer: v**(-162\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 45921732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18158 is divided by 2267?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 4557654139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -5*n - 36. Let j be c(-8). Suppose 3*m - 9 = 0, 5*w - m - j - 3 = 0. What is the derivative of 4*z**3 - 137*z**2 - 135*z**w - 16 + 272*z**2 wrt z?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 14 in -3, -10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 636.91 + -405.02. Let v = 233 - z. What is v rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-3\/16))**14)**20 assuming w is positive.\nAnswer: w**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -8*k**2 - 72*k. Let a(b) = -b**2 - b. Determine -2*a(s) + u(s).\nAnswer: -6*s**2 - 70*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0 + -6. Let r(k) = -8*k**3 - 8*k**2 + 6*k. Let j(z) be the second derivative of -17*z**5\/20 - 17*z**4\/12 + 13*z**3\/6 + 6*z - 2. Give n*j(a) + 13*r(a).\nAnswer: -2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 158e0 - 19?\nAnswer: 158c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 7\/18 in -6, 0.1, -11215?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -17886*u**2. Let w(g) = 9*g. Calculate f(w(j)).\nAnswer: -1448766*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6705\/6 + -3 + 0. Let s = 247469\/222 - m. Let y = s + -13043\/2220. Find the common denominator of y and 113\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -12575016*o**3 + 1080*o**2 - 265 wrt o.\nAnswer: -75450096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = x**3 + 6*x**2 + 5*x. Let a be h(-5). Let s be (-7 - (3 + -1)) + a. Let j = 9 + s. Solve 2*r = 5*o - 7 - j, -3*r = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i, 1 q, and 1 u when three letters picked without replacement from {u: 1, o: 1, n: 1, a: 2, i: 2, q: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 1\/8 (b) 0 (c) 386 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4148\/5 or -829?\nAnswer: -829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1923?\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 104*f - 1319. Is 56 a factor of a(60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 35, 25, 23, 29, 43?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -7*u + 27 - 4*u - u**2 + 20 - 27. What is the tens digit of j(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -241*r + r**2 + 488*r - 247*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -k**2 - 17*k**3 - 240*k + 55*k + 38*k + 14*k**5 + 73*k wrt k?\nAnswer: 840*k**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 2*f + 4, 4*k + 5*f = 188. Let p = k - 33. 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 699 minutes after 1:34 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the first derivative of z**3\/3 - 7*z**2\/2 - 4*z + 9. Let y be n(7). Suppose 12*p = 3*p. Sort 4, y, p in increasing order.\nAnswer: y, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 21, 12, -15, 1 in decreasing order.\nAnswer: 21, 12, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6\/21 - 108\/(-63). Let g be 6 - (-2 + a)\/(-2). Suppose 0 = -g*l + 2*l. Solve 5*p - 5 = -l*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 15327209 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-207144)\/(-154) - (-5)\/(-55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 13, o: 3, e: 2}. What is prob of picking 1 l and 1 o?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.163 - 4.163. Let m = -51\/2 - -145\/6. Let y = -0.3 - -0.3. What is the second biggest value in m, y, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 323 = o, 2*t - 592*o = -588*o + 638. Solve 7*y = t - 278 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 85*r**2 + 3*r + 2. Is w(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-1\/4)*h)\/h*h*h**(9\/4)*(h**(-5))**4 assuming h is positive.\nAnswer: h**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 483\/28*-10*33\/(990\/(-8))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**2 - 7*y - 3. Let b = 2 + 7. What is the least common multiple of 8 and i(b)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5045057593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 4*p - 14. Suppose -65*k - 31*k = -1056. Give z(k).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3756*v**5*w**2 + 2*v**4*w**3 + 2*v**2*w**2 - v**2*w - 17*v*w**3 - 174*v wrt v.\nAnswer: -225360*v**2*w**2 + 48*v*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -c**4*y**3 - 391*c**4*y - 14*c**3 + 2*c**2*y**3 - c**2*y**2 - 4*c*y**2 + 789*y**3 wrt c.\nAnswer: -24*c*y**3 - 9384*c*y - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0 - -1) + (12 - 11). Suppose 2*k + k + 15 = -u*f, f - 4*k = 20. Suppose f*s - 158 = -s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 2 s when three letters picked without replacement from sssppsssspspss.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -58\/237 and 25\/11?\nAnswer: 2607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*z**4 + z**4 - 5*z**4)*(-z + 3*z + z) + 2*z**5 + z - z + (1 - 1 + 2)*(-2*z**5 - 3*z**5 + 3*z**5) - 3*z**3 - 3*z**5 + 3*z**3.\nAnswer: -11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -333a7d (base 14) to base 16\nAnswer: -1a890f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 1108*w + 4435. Determine k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -475, -4047, -13727, -32569, -63627?\n\"Answer: -509*j**3 - 9*j + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = 3*o - 2*o - 23, 0 = -4*f - 5*o + 97. Let w(x) = -x**2 + 19*x + 5. Calculate the remainder when w(f) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*u**2\/7 + 11996*u\/7 - 1219768 = 0. Calculate u.\nAnswer: 1162, 1837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4793603l to millilitres.\nAnswer: 479.3603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 19 = 5*c, -3*l + 6 = 3*c + c. Let y be (1299\/9)\/(l\/(-6)). Let o = y + -14. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38 + 39 - 77 + 6*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = v**2 + 70. Let f(h) = 9*h**2. Calculate k(f(i)).\nAnswer: 81*i**4 + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -113 + -11?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 4*d + 5 = 0, 3*c + 0 - 10 = -d. Is c at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 841 and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 12638*p**2 - 63167*p - 137. Calculate u(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1198 or 2666?\nAnswer: 2666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -25851*t + 206820. Give f(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j - m + 27 = 0, -17*m = -j - 13*m - 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -481*m**4 + 367*m.\nAnswer: -5772*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.013, -0.3, 1.1, 16, -2\/9?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 44 in 0, -2\/15, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -4 + 1652*t - 1650*t - 4*t**2 - 1 - 3*t**4 - 2*t**3 in the form o*t**4 + f + n*t**3 + s*t + p*t**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*i**4 + i**4 - 4*i**4 - 2 - 2*i**4 + 2 + (29*i**3 - 56*i**3 + 24*i**3)*(1 + 0 + 0)*(3 - 3 + 2*i).\nAnswer: -11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 24366 (base 7) to base 6\nAnswer: 45253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1301349, -2602690, -3904027, -5205360?\nAnswer: -6506689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 2017, 4065, 6113, 8161?\n\"Answer: 2048*j - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 47443 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: Let o be 6\/(-10)*(7 + -22). Let g(w) = w - 7. Let c be g(o). Solve -c = 5*t - 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.1 + -0.08. Let v = -0.28 - l. What is the closest to -4 in 5, v, -0.07?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is sixteen ninths of a hour in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1230 + 415 + 51*a**3 + 3*a**3 + 200 - 21*a**2 with respect to a.\nAnswer: 162*a**2 - 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -105805 (base 9) in base 16?\nAnswer: -f773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**2 - 15*g + 63. Suppose 5*b - 24 = -4*r, 5*r + 109 = 89. Give v(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -9*n + 8*n. Suppose 8*y - 2*y = -n. Let r be 1 + 1\/(y\/(-1053)). What is r rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w**2\/5 - 308*w\/5 - 23716\/5 = 0. What is w?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find c such that 814 + 39*c - 395 - 9*c**3 - 48*c**2 - 401 = 0.\nAnswer: -6, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 596 and 11.\nAnswer: 6556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 19096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 51934 is divided by 541.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -9*f**3 + 23*f**2 - 500*f + 1528. Calculate a(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 26*n + 23 = 21*n, i - 11 = 2*n. Suppose -3*p = 22 - 67. Suppose 2*r - 10 - 5 = -3*k, -p = -5*k. What is the greatest common factor of i and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 5, t: 2, f: 7}. What is prob of picking 1 t and 2 q?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 317 minutes after 2:13 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by -11348\nAnswer: 5\/11348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 43673927 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 31143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-2))\/((-4)\/(-120))*(-6100)\/(-2440).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -13*j - 39 + 20*j**3 - 19*j**3 - 23 + 12*j + 10*j**2. Let p be b(-11). Which is smaller: p or -173?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 3*s. Let y(u) = -1415*u**2 - 1406*u. Let t(w) = -5*b(w) + y(w). Find the second derivative of t(j) wrt j.\nAnswer: -2830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 5a91695 - 4?\nAnswer: 5a91691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve j = 2*z + 10, -5*j + 57 - 63 = 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) 0.45 (b) -9\/137 (c) -6.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 2.9617 + -6\nAnswer: -3.0383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7, -15, -23, -31?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3 - 2\/(-1)) + -12. Let m = x + 15. Solve -11 = -3*k - m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.069 minus 39.09299?\nAnswer: -39.02399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*a**3 - 12*a**2 + 3*a + 12.\nAnswer: -3*(a - 1)*(a + 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c**3 + 5*c**2 + 2*c + 4. Let t be a(-3). Let n = t + -15. What is the least common multiple of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence puu when three letters picked without replacement from uuppupuu?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the second derivative of -7*u**3\/6 + 55*u**2\/2 - 65*u + 9. Give c(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*z + 2*z**2 - 2*z**2 + 14*z**3.\nAnswer: 14*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = 34927 - 314341\/9. Let r = 308\/9 - 34. Factor r*m**3 - y*m - 2\/9*m**4 + 2\/9*m**2 + 0.\nAnswer: -2*m*(m - 1)**2*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 3, k: 3, l: 1, h: 4}. What is prob of sequence kh?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(3\/10)*2655\/1062?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**4\/9 - 2*j**3\/3 - 4*j**2\/3 + 56*j\/9 - 16\/3.\nAnswer: 2*(j - 2)**3*(j + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qwjt when four letters picked without replacement from {w: 1, a: 2, t: 1, j: 1, q: 1, u: 2}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.06691807213 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = 5*s. Let q(h) be the third derivative of 0 + 2*h**2 + 0*h - 1\/2*h**3 + s*h**4 + 1\/30*h**5. Differentiate q(n) wrt n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2529 - 1306. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*j + 5*j. Suppose 0 = -j*v - v. Suppose v = -3*s - 2*s + 15. Solve -3*f + 24 = 2*f - m, 2 = f - s*m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 13) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 3*n + 22. Calculate q(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-9 + 8)*(16 - 31)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(-2\/5)*h*h*h*h**22*h assuming h is positive.\nAnswer: h**(128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) be the second derivative of c**9\/20160 + c**8\/3840 + c**7\/2016 + c**6\/2880 + c**4\/6 + 3*c. Let l(v) be the third derivative of b(v). Factor l(f).\nAnswer: f*(f + 1)**2*(3*f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -6*h**3 + 11*h - h**2 - 5*h + 3 - 11*h**2 + 9*h**4.\nAnswer: 3*(h - 1)**2*(h + 1)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*c - 3028 = 3984 - 5062 for c.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 43.07037843 to 3 decimal places.\nAnswer: 43.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 109533 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -138, -88, -28, 48, 146?\n\"Answer: l**3 - l**2 + 46*l - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7583*m - 2504*m - 2516*m - 2521*m + 359 to n*m + a and give n.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 14*j - 24. Let v be p(11). Suppose -134*f = -v*f - 116. Suppose f*n - 34*n + 65 = 0. Calculate the remainder when 37 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 600 and 144?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 3*i + 9. What is the common denominator of -67\/2 and (i\/(-78))\/(11\/198)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -341304*1.\nAnswer: -341304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 712 = 4*s - 127, -s - 344 = -3*c. Find the third derivative of -y - 93*y**4 - 15*y**2 + c*y**4 + 60*y**4 + 86*y**4 + 2*y wrt y.\nAnswer: 3984*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.8462 rounded to 2 dps?\nAnswer: -1.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 6686 (base 10) to base 14\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 50 divide 19247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3\/2, -0.4, 2, -1.2, -7.8, 87?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by 3554360.\nAnswer: 3\/3554360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -120, -122, -124, -126, -128, -130?\n\"Answer: -2*f - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -123.2*0.21\nAnswer: -25.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 7 or 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 344*w - 349*w = -1340. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 58 = -2*b, -5*b = -n - 9*b + 1. Solve -9*r = -n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 23\/8 - 4\/(-32). Solve 0 = 4*s - 5*h + d*h - 4, 4*h - 31 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4501 + -13477\/3. Suppose 2\/3*x**3 + h*x**2 + 0 + 0*x = 0. What is x?\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7381048735167 plus 0.12?\nAnswer: -7381048735166.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 4 times -712\nAnswer: -2848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 7*f - 6*f + 9*f.\nAnswer: 10*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s = -5*y - 44, -275*y - 120 = -3*s - 281*y for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 41984*l + 7053368. What is z(-168)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2388 divided by 18705.\nAnswer: -796\/6235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w be -5 - (-4 - 56\/64). What is the closest to 0.6 in 41, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f + 23 - 20. Solve h + f - 1 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -25*l**4 + 320*l**3 - 740*l**2 + 400*l = 0.\nAnswer: 0, 4\/5, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by 369.\nAnswer: 1\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.03209 - -0.23209. Sort -1, 63, 0.3, m.\nAnswer: -1, m, 0.3, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dtr when three letters picked without replacement from tqqqdddrqr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve c + 32*c = -66 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 8*c + 3. Let y(u) = -12*u - 3*u - 6 + 1. Give 7*f(r) + 4*y(r).\nAnswer: -4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by -7945?\nAnswer: -4\/7945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 + 1 + 0)*(3 - 3 + 2*f) + (0*f - 10*f + 6*f)*(-5 + 3 + 34))*(-3*f**2 - f**2 + 6*f**2).\nAnswer: -248*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/13 (b) 2028 (c) 0 (d) 2\/3 (e) 2\/5 (f) 13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -837.6625 rounded to zero dps?\nAnswer: -838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j - c - 21 = 0, -2*j + 552 = 5*c + 565 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**2 - 3*z - 1. Let l(x) = 5*x**2 - 12*x - 4. Let b(d) = -9*g(d) + 2*l(d). What is the units digit of b(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 367326522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**3 - 6*g**2 - 7*g + 10. Calculate the lowest common multiple of d(7) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 14 and 35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3503216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d**2 + 2*d - 4. Let q be u(-3). Let c be (q + 3 - -14) + -1. Solve -5*x + c = 2*a, 10 = a + 2*a + 5*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4842 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = -179 - -187. Suppose x*k + 1564 = 12*k. What are the prime factors of k?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + -11 + 8 + -9 - -15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 21 + -12001121220?\nAnswer: -12001121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -170861 = 6*j - 4*j + s, -5*j = -2*s + 427148. Round j to the nearest one thousand.\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -1.2 (c) 0 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*v - 68*v + 8241 = 9*v. Solve -2*i + v = 2*f + 131, -4*i = -5*f - 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 9*w - 30. Give r(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -136 = 6*f + 5*u, 2*f - 1727*u + 1723*u = 102 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h be 528\/(-2)*10\/8. Let j be ((-66)\/15)\/((-2)\/10 + 0). Find the common denominator of 3\/8 and 1\/16*h\/j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -20685, -41488, -62495, -83808, -105529, -127760?\nAnswer: -150603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be 10\/35 + 24\/14. Let x = -48 - -47.8. Put -4, y, x in increasing order.\nAnswer: -4, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 41\/2 of a millimeter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-32)\/(-12)*(1 - 4). Let h(t) = -t**2 - 14*t + 1. Let c be h(-14). Let p be (-3 - -3)\/c - (-2 - -12). Are p and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2374952 - 29*t - 2374945 + 4749897.\nAnswer: -29*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 + 2)*(3*h + h - 3*h) - 25*h + 47 - 47.\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 704540.25us to hours.\nAnswer: 0.000195705625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply -229 and 22.9264.\nAnswer: -5250.1456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15 divided by -183669.\nAnswer: 5\/61223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o + 2. Let r be u(-2). Suppose r*m + d = 6, -2*m + 7*m + 1 = 3*d. Let b be ((3 - 3) + 1)\/m. Let g(f) = -7*f**3 + f**2 - f + 1. What is g(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(209)*3 + sqrt(209))*-5 + sqrt(209))*3)\/(sqrt(275) - 2*(sqrt(275) + sqrt(275) + (sqrt(275) - (sqrt(275) - sqrt(275)*-3 - sqrt(275))))) + 5.\nAnswer: -57*sqrt(19)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2\/3, 0.2, 2\/11, 69, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -456658, -913318, -1369978, -1826638, -2283298, -2739958?\n\"Answer: -456660*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3*8*3\/18. What is the common denominator of s\/20*(-50)\/(-12) and ((-4914)\/(-784))\/(-1 + 2\/8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1.9 and -2966680510.3785?\nAnswer: 2966680508.4785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -4*v**2 + v**2 - 3*v + 2 + 2*v**2. Suppose 10 = -2*d + 4*x + 34, 2*x = -2*d + 6. Suppose 4*z - 4*g + 29 - 1 = 0, -2*z = 2*g + d. What is n(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the second derivative of -3*c**6\/20 + 2*c**3\/3 + 3*c**2 - 17*c. Let q(x) be the first derivative of k(x). Find the first derivative of q(r) wrt r.\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1380391682781 less than 4?\nAnswer: -1380391682777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -3*h + 1. Let w(d) = -7*d + 2. Let p(s) = 13*q(s) - 6*w(s). Let j = 0 - -2. Calculate the lowest common multiple of p(1) and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1.7 (b) 1\/5 (c) -16 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 2*t. Let s(u) = 2*u**2 + 2*u + 2. Let m be s(-2). Let h = m - 4. Suppose r - 3 = -h. What is a(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 77168\/4522 - 17 - (-12 + (-4086)\/(-342))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3965530 is divided by 694.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.227 - -0.027. Let p be 1\/4 - (-10)\/(-8). Sort u, p, -3.\nAnswer: -3, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2 and 386.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1584) + 1*sqrt(1584)*5 + sqrt(1584))\/(2*sqrt(8)\/sqrt(2) - sqrt(4) - (sqrt(4) + sqrt(12)\/sqrt(3))*1))**2.\nAnswer: 19404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 192*d - 100*d + 410*d to the form v*d + g and give v.\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100111001 - -11010111?\nAnswer: -1100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 14*h. Suppose 3*d + 2*d = 25. Let v(r) = -6*r. Let g(y) = -1. Let a(x) = -x - 4. Let s(z) = -a(z) + 4*g(z). Let q(w) = d*s(w) + v(w). Give q(k(n)).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*h - w - 3, 2*h + 7788 = 5*w + 7803 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-168)\/56*(1 - 16*36). Calculate the greatest common divisor of 675 and s.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.092 - 0.092. What is the closest to -1 in -1\/4, v, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -6 + 16*s - 11*s + 3*s wrt s?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the first derivative of n**4\/4 + n**2\/2 + n - 75. Let v(s) = -s**2 + 1 + 3*s**2 - s - 2*s**3 + 2. Let a(f) = -j(f) - v(f). Determine a(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or -7\/5537026?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -5, 0.016, -0.3, -20, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -55*-6*(-20)\/(-600)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3926534 or -3926535?\nAnswer: -3926535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1.05077 + -1.05. What is u rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/2 (b) 0.14 (c) 0.5 (d) 5 (e) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 12*r + 32*r**5 - 22*r**5 + 5*r**3 - 5*r**3 wrt r.\nAnswer: 200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, a: 2, e: 1}. What is prob of sequence ey?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-368)\/(-828)*12\/64?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the second derivative of 1\/12*i**4 - 1\/2*i**2 + 0 + i - 13\/20*i**5 + 0*i**3. Is 13 a factor of k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 180, 1056, 1932, 2808, 3684?\n\"Answer: 876*l - 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 4*s = 2*a - 6, 4*a + 16 = 5*s. Let t be s\/6*3\/(-1). Let l be (t - 1 - -1)\/(-1). Solve -2*d = l*d - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 36 and 4572.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**2 + 5*h - 7. Let w be -10 - (-1 + (1 - 4)). Calculate k(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:35 PM and 10:16 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(16) + (sqrt(16) - sqrt(256)))\/sqrt(2))\/sqrt(4) - 3*(-2 + sqrt(2) + -1 - sqrt(2)))*-4)**2.\nAnswer: -576*sqrt(2) + 1424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the first derivative of d**4\/8 + 7*d**3 + 99*d**2 - 484*d - 640. Determine g, given that l(g) = 0.\nAnswer: -22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tntttttntnn. Give prob of sequence tn.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -167, 235, 949, 2011, 3457, 5323, 7645, 10459?\n\"Answer: 6*j**3 + 120*j**2 - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0, -3, 2\/3, -14?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 + 0)*(1 - 6 + 10*g - 13*g).\nAnswer: 3*g + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = 11782 + -5382. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11880070329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be (12 + -10)*10\/(-4) - -3. Let o be m\/8*236\/(-59). Which is smaller: -3\/299 or o?\nAnswer: -3\/299","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -523, -525, -527, -529, -531, -533?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 52020 + -919?\nAnswer: 51303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6056 - 1041. Suppose o - 437018 = 17997. Let j = z - o. Round j to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -21 in 6, -0.5, 3719?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be -7 - (0 - (6 + -4)). Let z be 1051\/4 + l\/(-20). Let m = 188 + z. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 85 and 3859?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is g in -12*g**3 - 915*g**2 - 2004*g - 444 = 0?\nAnswer: -74, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1*-16 - 7\/(-1). Is f smaller than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 120 = -d, -4*d - 67 = -5*o + 94. Let t = o - 24. Solve 0 = 2*h - 5 - t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 103839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 646666661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1597077739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -206, -212, -236, -284, -362, -476?\nAnswer: -632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -415*c + 409*c + 30. Solve -c*y = 3*b + 24, 10 = -5*y - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*v - 3*v**2 - 2*v + 7*v**2 + v**3 + 3*v**2 as x*v + g*v**3 + l + b*v**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 5, -9 in descending order.\nAnswer: 5, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 750976 is divided by 231.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = -10*a + 112. Suppose -1442 = -a*v + v. What is the remainder when v is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*z**4 - 2*z**4 + z**4 + (-3*z - z**3 + 3*z)*(2 - 2 + 2*z) - 3*z + 3*z - 6*z**4 + 3610*z**3 - z**4 - 3561*z**3 + 2*z**4.\nAnswer: -6*z**4 + 49*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6 - (-198)\/(-12) - 3\/2. Let s be 99\/12 + (-9)\/q. Suppose 2*j - 2*c - 6 = 0, 2*j + c - 6*c - 12 = 0. Calculate the highest common divisor of j and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3777?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55 = -10*z + 5*z - 5*k, -5*z + 3*k - 15 = 0. Does 5 divide ((-63)\/z - -3)*20\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 2, -5, -58, -81.\nAnswer: -81, -58, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -19632682 + -17984089\nAnswer: -37616771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 3375 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, -11\/4, -2\/3, -9 in descending order.\nAnswer: 0.5, -2\/3, -11\/4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1088 + -586?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -0.3 (b) -3 (c) 0.2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0322022 to 4 dps.\nAnswer: 0.0322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 83, -12.\nAnswer: -12, -4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 2603*j**2. Let k(c) = -c. Determine k(a(i)).\nAnswer: -2603*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve d = 6 - 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 3 + 168472?\nAnswer: 168475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -967 (b) -2\/11 (c) -3 (d) -2 (e) 3.51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + 10 - (-15 + 32 + -38 + 108)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = v**3 + 7*v**2 + 19*v + 71. Let c be w(-5). Calculate the highest common divisor of c and 2457.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 380162 and 12576?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 507 minutes after 5:29 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 3*x = -9, x + 3*x = -2*l - 12. Suppose 3*v + 3*f - 894 = 0, -4*v + l*f = 3*f - 1187. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.34? (a) -2 (b) 0 (c) 25\/4 (d) -4\/9 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d**2 - 7*d + 2. Let c be n(7). Suppose 2*w = 5*g - 118, -c*w - 15 - 79 = -4*g. Suppose -b + 0*b + g = 0. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -h**2 + 356*h**3 + 4*h - 180*h**3 - 181*h**3 - 3 + 3 in the form p*h**3 + c*h**2 + g + v*h and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*w - 3*c + 43048, -5*w + 34723 = -4*c - 8318. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 110812732*w**2*z**2 - 13*w*z**2 - 305*w*z - w + 82*z**2 - 4*z + 2 wrt w?\nAnswer: 221625464*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out -19.5 * -0.04.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -25 - -18. Let m = -13 - a. Let n = m - -8. Solve -n*o = o - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3, -3\/7, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put together 46091795 and 61.\nAnswer: 46091856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36*i = -170713 - 250343. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -431, -826, -1221, -1616, -2011, -2406?\nAnswer: -2801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 125522993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = z + z. Suppose 0 = s + 2*x + 39 + 17, 4*s - 2*x + 174 = z. What is the common denominator of (6*6\/(-120))\/((-6)\/s) and -53\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 7, -9, -31, -53, -69, -73?\n\"Answer: j**3 - 9*j**2 + 4*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -105 at most as big as -730\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = z - 50. What is the smallest common multiple of 2 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -38, -0.4, -1\/2, -5, -1\/9, -9410?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -9 - -14. Suppose -64 = -5*l - y, 4 = 2*l - u*y - 0. Suppose -877 = 11*h - l*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(5) - sqrt(5)*2)*4 + 3)**2.\nAnswer: -24*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -151\/672 and 71\/320?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/14751 and 37\/31086.\nAnswer: 4631814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ee when two letters picked without replacement from {a: 2, s: 2, u: 3, e: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 488152, 488090, 488016, 487924, 487808, 487662, 487480?\nAnswer: 487256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/o**(-2))**14 assuming o is positive.\nAnswer: o**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -307*j + 186*j + 140*j - 9*j**3.\nAnswer: -9*j**3 + 19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 3 a when four letters picked without replacement from {i: 2, f: 4, n: 8, a: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3 (b) 4 (c) 0 (d) -11 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 202*-0.00778.\nAnswer: -1.57156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -321 and -0.2?\nAnswer: 64.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((8\/7)\/(-4))\/((-5)\/7).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes after 1:18 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 327 divide 11001915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 127181 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 60 and 1050.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*l**2 + 15*l**2 + 38*l**2.\nAnswer: 56*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -o**3 - 10*o**2 + 10*o - 1. Let c(j) = j**3 + j**2 - j. Let p(h) = 2*c(h) + n(h). What is the remainder when (-12)\/30 + 399\/35 is divided by p(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 932962.\nAnswer: 2, 193, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2\/3)\/(2\/(-6)). Let u(g) = g**3 + 2*g**2. Let s be u(i). Find the third derivative of 2*n**4 - 5*n**2 + 4*n**2 + s*n**4 wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -46312603 or 5?\nAnswer: -46312603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = -17 + 15. Which is the nearest to -0.2? (a) 0.3 (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -387297 + 619484. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10023 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -1549*h - 48031. Determine q(-31).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 492 and 1804.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 20211200221 - -1?\nAnswer: 20211200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 4*c**3 + 2*c**2. Let l(t) = -9*t**3 - 5*t**2. Suppose 0 = 2*g - 6 - 4. Give g*x(n) + 2*l(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = 1, -12*h + 14*h + 5*g + 1273 = 0. Let k = -398 - h. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, -9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 1, 3\/11, -12 in increasing order.\nAnswer: -12, -0.5, 3\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1.15943858 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*k = -29*k + 30. Is (-11013)\/k*(-220)\/(-44) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 37 + -23. Suppose 0 = 2*q - u - 14. Solve q = 4*r - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the first derivative of 5*y**4\/12 + y**3 - y + 2. Let f(t) be the first derivative of o(t). What is the second derivative of f(w) wrt w?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 3\/(-13) - ((-23987)\/(-11869))\/(7\/(-77))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes before 10:16 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:23 AM and 1:23 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.18 - 0.06. Let t = o + -0.176. What is t rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/14)\/(-16*6\/(-1008))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 5939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 10513959 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r**4 + 84*r**3 + 8*r - 4 - 2*r**2 - r**5 - 91*r**3 + r**2 = 0 for r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 505811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-6)\/(-10))\/(4\/20). Let l = d - 1. Let o be 27\/21*l\/(-6). Which is the third biggest value? (a) 3 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -100014 divided by -6?\nAnswer: 16669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 595 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 5861511 a multiple of 423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in -4, 164766, -0.07?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 22 = 5*t, -4*t - 5*j - 19 = -53. Let g(r) = -252*r**2 - t*r + 85*r**2 - 6 + 83*r**2 + 82*r**2. Let q = 5 + -9. Calculate g(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.2 and 10662009?\nAnswer: 10662009.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1078 - 5199*c + 1473*c + 3025 wrt c.\nAnswer: -3726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -236 and -0.76?\nAnswer: 179.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 10088 < 9639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g - 3*r + 405, -2*r + 4*r + 682 = 5*g. Let h be (g\/(-51))\/((-4)\/6). Solve 3*a = -2*p - 5 - 6, -8 = 4*a - h*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**0*(p\/(p\/(p\/p**(2\/9))))\/p*p**(3\/8)*p*p*p*p**(1\/2)*p assuming p is positive.\nAnswer: p**(335\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the third derivative of 2*m**7\/105 - 4*m**6\/15 + 4*m**5\/5 + 16*m**4\/3 - 128*m**3\/3 - 3*m**2 + 87*m. Let x(g) = 0. What is g?\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 861209 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 142 divide 69882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvevevveve. Give prob of picking 2 e.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 6 = o, -4*q + 14 = -4*o - 34. Let j be -8 + o\/((-44)\/48). Solve -2*l + 3*b = 0, 3*l + 5 = j*b - 2*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -17061, -16626, -15897, -14874, -13557?\n\"Answer: 147*l**2 - 6*l - 17202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -75021*y**3 - 3*y - 225424 wrt y.\nAnswer: -225063*y**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -a35be (base 16) in base 3?\nAnswer: -1020222212011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 46195.08 times -1?\nAnswer: -46195.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 95603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n be 57\/21 - 2\/(-7). Let t be ((-15)\/2)\/(n\/4). Let h = 18 + t. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6240930 - 2280930. What is f rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*z + 5 = 12*z - g, 0 = -z + 5*g + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 507 and 1638793.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -706481\/7228 + -14\/1807. Let q = 86 + f. What is the common denominator of q and (14\/(-12))\/((-3)\/(-5))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -d**3*m**3 - 2351*d**3 - 43*d**2*m - 15298*m**4 wrt m?\nAnswer: -6*d**3*m - 183576*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 4, q: 1, z: 5}. Give prob of picking 1 q and 1 h.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -11646, -46565, -104760, -186231, -290978, -419001, -570300?\n\"Answer: -11638*f**2 - 5*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 2\/295 (b) 2 (c) -1\/6 (d) 1 (e) -5 (f) -4.246 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/(-5) - (20\/(-25))\/(-2). Solve 5*p + c = -2, 0 = -3*p - 2*c - g + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + sqrt(931) + -4)**2 + (-5 + (sqrt(931) - (-1 + sqrt(931) + sqrt(931))))**2 + 3)*-1 + 2 + -5.\nAnswer: -1885 - 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -8 - -7.7. Let c = 1.3 + o. Let z = -14\/9 - -134\/63. Are c and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 216\/7 in -5, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 + 331?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (5 + sqrt(343)*-2 - sqrt(343))**2 - 2*5*-2*sqrt(343).\nAnswer: -70*sqrt(7) + 3108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that -p**5\/8 - 547*p**4\/4 + 5823*p**3\/2 - 68495*p**2\/4 + 173125*p\/8 + 83625\/2 = 0.\nAnswer: -1115, -1, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = -114\/13 - -469\/52. Suppose 4*x = 3*a + 14, 19 = 4*a + 2*x + 1. Let k = a - 0. What is the second biggest value in 4, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-28)\/35)\/((-14)\/35). Suppose 3*u + 7 = 16. Suppose u*k - 3 + 9 = 0. Put o, k, -5 in descending order.\nAnswer: o, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that -351*j**5\/8 + 1869*j**4 - 45327*j**3\/8 - 76635*j**2\/4 = 0.\nAnswer: -2, 0, 655\/117, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -0.01746+-0.2\nAnswer: -0.21746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.04454 rounded to three dps?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -33 - ((4 - 11) + 5 - 0).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i**3\/5 + 4268043*i**2\/5 + 17072136*i\/5 + 17072124\/5 = 0. Calculate i.\nAnswer: -1422677, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -43 - -334. List the prime factors of s.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4 + 2. Suppose -t + 2 = -4*u + 3*u, -g = -5*u + t. Solve -u*s + 10 = -0*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1770, -1767, -1762, -1755?\n\"Answer: w**2 - 1771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 138453 times 12?\nAnswer: 1661436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19) - (1 + sqrt(1539) + sqrt(1539))**2) + (sqrt(19) - (sqrt(133)\/(sqrt(21)\/sqrt(3)))**2) - (-4*-2*sqrt(190))\/sqrt(10).\nAnswer: -6176 - 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 1335 (base 10) to base 8\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(304)*5 - sqrt(19)).\nAnswer: -76*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -34, -14, 11, 0, 45, -1 in increasing order.\nAnswer: -34, -14, -1, 0, 11, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nlhlhhlnnnfn. Give prob of picking 2 h and 2 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 714 minutes before 3:46 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**5 - u**4 + u**3 + u - 1. Let y(w) = 8*w**5 + 66*w**4 + 170*w**3 - 144*w**2 + 2*w - 2. Let q(x) = 2*r(x) - y(x). Factor q(m).\nAnswer: -2*m**2*(m + 6)**2*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.18 in 2\/7, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5581183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 139*q - 138*q. Let 184*x**2 + 40*x + 97*x**3 + 95*x**q + 140*x**3 + 22*x**5 - 8*x + 14*x**5 + 216*x**4 = 0. What is x?\nAnswer: -4, -1, -2\/3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 9*w**3 + 7*w + 8. Let f(a) = -26*a**3 - 20*a - 23. Calculate 6*f(m) + 17*l(m).\nAnswer: -3*m**3 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -3*z**3 + z**3 + 13*z**2 + 6 + 0*z**3 - 9 as q*z + r*z**3 + v + y*z**2 and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 2424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*c**4 + 7*c**4 - 3*c**4)*(2 - 1 - 2) + (c - c - 2*c**2)*(0*c - 2*c**2 + 0*c) + 0*c**4 + 6*c**4 - 2*c**4.\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/13? (a) -4 (b) 4 (c) -0.1 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is c54 - -20?\nAnswer: c74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:58 PM and 8:03 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -237502 greater than -237451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 393.5904 litres in millilitres?\nAnswer: 393590.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 27*2\/(-4)*32788\/10539.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 762 a factor of 22695213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-23)\/((-552)\/840) - (-8 + 1)*1. Solve -588*d + 594*d - y = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -28.22767 - -1.22427. Let f = -0.045 + -26.955. Let t = y - f. Round t to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a**4\/5 - 385326*a**3\/5 + 15416529*a**2\/5 - 168437736*a\/5 + 278292012\/5 = 0. What is a?\nAnswer: -128482, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 138 in -2\/9, 272, 2\/5, 3, 0.96, 0.1?\nAnswer: 272","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 6, e: 9}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(700) + -1 - (sqrt(7) - 5*(sqrt(7) + -1))).\nAnswer: -18 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -55*h**2 + 1. Let p(a) = -10*a - 268016. Calculate p(o(r)).\nAnswer: 550*r**2 - 268026","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6001\/7 + -855. Let l = 181 - 352. What is the common denominator of d and 1 + l\/(-15) + -1?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 6943, 13890, 20837, 27784?\n\"Answer: 6947*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5 - 1. Let m(r) = 4*r - 2. Let n be m(2). Suppose f*a = -4*l, -5*l + n*l = 0. Is -2 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(-4)*2\/(20\/10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -u**2 + 4 + 3*u**3 + 1621*u - 3249*u - u**4 + 1619*u to f*u**3 + d + x*u**4 + c*u + z*u**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(-1 + (-6)\/(-4)). Suppose -q*j + 4*f + 0*f + 12 = 0, 0 = -j + 4*f + 10. Is j <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1186066465 to the power of 1\/2, to the nearest integer?\nAnswer: 34439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in 2\/5, 0, 1, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 6}. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + 3 - (-531 - -545).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -1\/5 (b) -1 (c) -0.03 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 15\/4 in -2\/3, -0.31, 5, 1\/4, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -6*q**2*r**3 + 694*q**2*r**2 + 25*r**3 wrt r?\nAnswer: -36*q**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 467 (base 15) in base 16?\nAnswer: 3e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply -9.9864 and -0.14.\nAnswer: 1.398096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 254351503 and 3381.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 140 + -154. Does 10 divide (6 - (-3188)\/(-4))*4\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 36*v**2 - 8*v**2 + 734*v - 733*v to q*v + p + n*v**2 and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6700)\/130)\/10 + -1 + 6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1516 is divided by 45?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(5) + (-1*sqrt(40))\/sqrt(8))*6*4 + (sqrt(180) + 2 + 1 + -2)**2*-6.\nAnswer: -1087 - 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -2*v**3 + v**2 - v + 1. Let q be z(1). Let k be (q - -4)\/((-6)\/(-20)). Calculate the greatest common divisor of k and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/(q\/(q*q*q**(2\/5)*q*q))*q*q)**(2\/93))**(-5\/2)*((q\/(q\/(q*q*q**(-2\/3)*q)))**(-7\/2))**(-1\/2) assuming q is positive.\nAnswer: q**(1391\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -13\/3*d + 4\/3 + 3*d**2.\nAnswer: (d - 1)*(9*d - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -60 + 799743?\nAnswer: 799683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 448667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -15*z + 2. Let l(n) = 80*n - 7. Let y(v) = -11*d(v) - 2*l(v). Give y(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -1, 1.9, 2, 63, -4.\nAnswer: -4, -1, 1.9, 2, 3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 5*h - 4*h + 13 = 0, -5*u - 8 = 4*h. What is the remainder when 55 is divided by (6\/u)\/(12\/(-112))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 85843 is divided by 740?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4*-1*(9 + -12). Suppose 36 - 79*z**3 + 0*z**5 - 56*z**2 + 4*z**5 - u*z + 14*z**4 + 6*z**4 + 87*z**3 = 0. Calculate z.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 42943*h**2 + 193437?\nAnswer: 85886*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzezzezez?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9493 is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 120 = -2*r + 6*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -432.18 to the nearest 10.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 13a682 (base 13) to base 15.\nAnswer: 97396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**2\/6 - 521485*s\/6 + 260743\/3.\nAnswer: -(s - 1)*(s + 521486)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 93895359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**3 + 17*q**2 - 27. List the prime factors of z(-16).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:01 PM and 8:12 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 241108 and 6004?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the second derivative of 0 - 1\/4*z**4 + 0*z**2 + 0*z**3 - 14*z. Let i(n) be the third derivative of n**5\/15 + 2*n**2. Give u(i(h)).\nAnswer: -48*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*q + 2*q - 7*q + 706566 = 0. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50*r - 55*r - 35 = 0. What is the third biggest value in r, 0.1, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -q**4 - 397*q**3 + 123230*q**2 wrt q.\nAnswer: -24*q - 2382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 54713747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.051977 to 4 dps.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = -233 + 155. Let p be o\/(-5)*50\/15. Calculate the highest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**0*v**(1\/3)*(v\/(v\/v**0))**(-3\/10))\/((v\/(v*v**(-6)))\/(v\/(((v**8*v)\/v)\/v))*(v**1*v*v)**7) assuming v is positive.\nAnswer: v**(-98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1152 + y + 2303 - 1151.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 32*p**2 - 17*p + 43. What is the thousands digit of l(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -49 + 47. What is the smallest value in 0.3, 1\/7, d, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u**3 + 4*u**2 - 6*u - 4. Let i be l(-5). Let k be (-4)\/(-16) - i\/4. Solve k = -0*d - d + 2*p + 11, 4*d = 4*p + 28 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-8 - (-19 + 2 + 3 - 0)) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2548485 and 427579150.\nAnswer: 3848212350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 80 = 2*u + 509, -3*h + 5*u = -420. Suppose 2*p + 130 = -4*x, 2*x - p = -3*x - h. What is the units digit of x\/4*(-108)\/30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 106 - 94 = 0. Calculate the remainder when y is divided by ((-63)\/(-7) + -5)*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -10 - -56. List the prime factors of (d\/4)\/(2\/4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -9044, -9015, -8918, -8717, -8376, -7859, -7130, -6153?\n\"Answer: 6*y**3 - 2*y**2 - 7*y - 9041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) be the third derivative of -n**7\/840 + n**6\/36 - n**5\/15 - 5*n**4\/12 + 5*n**3 + 28*n**2. Let p(w) be the first derivative of g(w). What is p(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = -0*b - 4. Which is bigger: 3\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000194123 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uqieaaien. Give prob of sequence ie.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 31*n**2 - 2*n. Let r(w) = -380*w + 191*w + 190*w. Calculate r(a(o)).\nAnswer: 31*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -16*v**2 - 11*v - 11. Let l(o) be the first derivative of -o**3 - o**2 - 2*o - 84. What is -33*l(k) + 6*t(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 123.265 + -0.13929.\nAnswer: 123.12571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 4 = 0, -4*b + 379261 = -3*x + 54977. Round x to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 417295979303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3302\/15 + -220. Let q = 0 - 1. Is q not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 8*n + k + 19, -651*n + k + 9 = -654*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(3 + ((sqrt(117) + sqrt(117)*2)*3)\/(sqrt(72)\/sqrt(200))).\nAnswer: -135*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -2369*f + 2249*f - 2*f**2 + 3600 + 3*f**2.\nAnswer: (f - 60)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = f**3 + 7*f**2 + 6*f + 5. Let m be u(-6). Suppose m*t = -2 - 23, 0 = -3*l + t + 170. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.12475697249 - 434.96?\nAnswer: -435.08475697249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (5*u - 15*u + 18*u)*(5 - 1 - 6)*(-6*u + 7 - 7) as p*u**2 + s + v*u and give p.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*(p\/p**4)\/p*p**(-3))\/((p\/(((p*p**(-2))\/p)\/p))\/p)**9 assuming p is positive.\nAnswer: p**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3 + 1122?\nAnswer: 111c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 13 (base 13) in base 3?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -252*h + 5. What is the tens digit of q(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33413715 to the power of 1\/3, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5628517, 5628492, 5628431, 5628316, 5628129?\nAnswer: 5627852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 53 + -44?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-4 + sqrt(2299)*-1 + (sqrt(2299) + sqrt(2299)*-1)*2 - (sqrt(2299) + (1*sqrt(2299) - sqrt(2299)) + 1)**2*5).\nAnswer: -11504 - 121*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 23 - 9. Calculate the smallest common multiple of x and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/j**(-4\/13))\/j**(-5) assuming j is positive.\nAnswer: j**(82\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 437100 divided by -212\nAnswer: -109275\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s, 1 j, and 1 l when three letters picked without replacement from {b: 1, l: 1, s: 3, a: 2, g: 3, j: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.002646 rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 25007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 3610598 to the power of 1\/2, to the nearest integer?\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2 - (0 - 0 - 3). Suppose -j + 4 = -b*j. Let h = 4 + j. Solve -5 = z + q, h*z + q + 14 = 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 197365 - -132635. Let h be (z\/9)\/((-2)\/(-6)). What is h rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -10, -69, -226, -529, -1026, -1765, -2794?\n\"Answer: -8*p**3 - p**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = 40*j - 35*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -140.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/6*6\/1. Suppose -i*q - 14 = -4. Let c(r) = -470*r + 3295. Let g be c(7). Sort -1, q, g in descending order.\nAnswer: g, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 2*5\/((-220)\/8)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g - 14 = 5*x, 5*g = 2*x + g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1598707 divided by -2047.\nAnswer: -781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 128, 139, 152, 167, 184, 203, 224?\n\"Answer: z**2 + 8*z + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/(-7) - 648239*(-1)\/(-525). Let a = 1235 + o. Is a <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -f + 8*f**2 + 20*f**3 + 43*f - f - 3 - 33*f in the form k*f**3 + b*f**2 + g*f + w and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3, -5, 33, 159, 415, 843, 1485, 2383?\nAnswer: 3579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(11\/4)\/(((q*q**12*q*q*q)\/q)\/q)*(q**16)**31 assuming q is positive.\nAnswer: q**(1939\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = -o + 12. Suppose 4*n = 3*n + o. Let s = 9 - n. Solve 3*j - s*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 26 - 14. Suppose -p + 2*v + 2*v - 9 = 0, p + t = 5*v. Suppose p*q - q = 5*c, 3*q = 0. Solve -5*d + 0*d = c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 13 = -3*s, -5*s + 4*t + 17 = t. Let m be 3 - s - 4\/3. Let h be 0\/(-4) + 1*2. Is m <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 36459 and 6141316?\nAnswer: 4051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the first derivative of -k**2\/2 + 73*k - 5. What is the tens digit of r(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 3*i + 14. What is n(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 131512506?\nAnswer: 2, 3, 29, 271, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(13) + (sqrt(26)*-2)\/sqrt(2) + sqrt(13) - (2*sqrt(13) + -5).\nAnswer: -2*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1018.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve p - 14 = 5*g - p, 3*g + 6 = 2*p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.6 - 1.1. Let k = j - 0.5. Is -1\/4 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2 + -5. Let l = 80\/477 + 871\/3339. Which is the closest to -0.1? (a) l (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 237\/(-553) - (-23)\/21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 20 divided by 11944818\nAnswer: 10\/5972409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 55612 - 56171 = -43*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(833)*2*2 - ((sqrt(833)*2 + sqrt(833))**2*4 + sqrt(833)) - (sqrt(1088)*-4 - (sqrt(17) + -2)**2*-6)) + -5.\nAnswer: -30120 + 77*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8023, 8027, 8033, 8041, 8051?\nAnswer: 8063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 936594 and 2341485?\nAnswer: 4682970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h - 65*p = -69*p + 64, 3*p - 78 = 5*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b + 22 = -4*v, -2*b + v - 11 = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = h - 30 - 375, -305 = 3*z - h. Let c = -114 - z. Sort c, -5, 5, 0 in decreasing order.\nAnswer: 5, 0, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 60, 120, 178, 234, 288?\n\"Answer: -d**2 + 63*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 39815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4\/6*(-18 - 0). Let l = j - -15. Suppose -4*o - l*q - 28 = 0, 3*o + 2*q = -10 - 11. Which is greater: o or -8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 961993*f**3 - 480776*f**3 - 481218*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 = -2*i + p, -4*i = -3*i - 3*p + 27. Let m = i + 11. Sort m, -3, 5 in ascending order.\nAnswer: m, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*o**2\/7 - 33208*o - 3950596\/7.\nAnswer: -4*(o + 17)*(o + 58097)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -n - 2*f - 29, 2*n - 2*f = f - 44. Let z(w) = w + 5. Let t be z(-3). Is n\/(-2) + 1\/t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and 1323\/167899 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/12*(-7452)\/207?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/(7\/(63\/6)). Suppose -2*m - 466 = -2*p + p, 0 = s*m + 15. Let g be 6\/10 - p\/560. Is 1 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1517 + 3084. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5999 - 5997. Solve 10*v - 8*v + 4 = d*q, -3*q = -5*v - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve w = 4*q - 3, -q - 3*w - 9 = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 40377409 to the power of 1\/3, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 0*c**2 + 2 + 2*c**3 - 2*c**2)*(-48*c + 95*c - 26*c) to j + k*c**2 + m*c**3 + v*c**4 + h*c and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 459 minutes before 4:10 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m and 1 n when three letters picked without replacement from {n: 10, m: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1089062520 a multiple of 7714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z**3 - 4*z**2 + 3*z. Suppose 48 = 4*y - 44. Let r = 28 - y. What are the prime factors of j(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, n: 4, r: 1, e: 5, d: 5, l: 1}. Give prob of sequence dlm.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 747 and 27?\nAnswer: 2241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*f + 0*f + 2*f)*(10*f - 10*f - 24*f + (3*f - 3*f + 2*f)*(4 - 4 + 1)).\nAnswer: -88*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (6\/20)\/(62\/(-775))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 243 - 16*v - 127 + 55*v + 553.\nAnswer: 39*v + 669","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 428 and 25466?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put together -5.8 and -0.085617.\nAnswer: -5.885617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = 68 + -17. Suppose 5*i - 209 - z = 0. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (48\/168)\/((-8)\/(-7)). What is the closest to q in 0.2, 0, -2\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 91, 3, -5, -3, 17.\nAnswer: -5, -3, 3, 17, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 450024 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.5, -2, 11.317306?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2797\/299100 - 6\/997. Let k(u) be the third derivative of u**2 + 1\/30*u**3 + 0 + q*u**5 - 1\/60*u**4 + 0*u. Factor k(z).\nAnswer: (z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-104)\/4*(-2)\/(-4). Let z be -1 - 4091*(2 + j). What is z rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -151*j + 161*j = 0. Suppose 4*p + 11 = -5*y - 11, j = -5*p - 15. Let h(n) = -2*n**3 + n**2 + n + 2. Determine h(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3 and -96.\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 187 = 1079. Suppose 9*b - d = 6*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 432966, 3, 7 in increasing order.\nAnswer: 3, 7, 432966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -788, -1600, -2414, -3230, -4048, -4868, -5690?\n\"Answer: -c**2 - 809*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 172 or -71226?\nAnswer: -71226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1548197 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2, -5, 1, 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -7*g**3 + 13*g**2 + 13*g - 19. Let c(n) = -4*n**3 + 6*n**2 + 6*n - 10. Let a(o) = 13*c(o) - 6*q(o). Find the first derivative of a(i) wrt i.\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate p**2*r**2 + 161*p**2 - 57*r**4 wrt r.\nAnswer: 2*p**2*r - 228*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 31 = 41. What is the highest common divisor of 60 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*i + 1062 = 812. Solve 120 = -i*n + n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**2 - 86. What is q(0)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 111011 + -1?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 172 minutes after 12:40 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = -9 + 4. Let n = -1.99 - 0.01. Let k = 0.07 - -2.93. Which is the nearest to -0.1? (a) p (b) k (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 346000 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -6b + 7?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-5)*(-3)\/((-15)\/(-25)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 654 + 2*s + 78 - 1269 in the form o*s + r and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10026 is divided by 4675.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -6*l + 1. Let z(p) = -p**3 - 2*p**2 + 8*p + 13. Let s be z(-4). Let h = s - 20. Let m(c) = 9*c - 1. Calculate h*q(y) - 5*m(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -7*u + 7*u - 7*u + 9*u - 7 in the form f*u + a and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 26.3 - 21.26. Let v = i - 0.04. Let p = -88\/35 + 14\/5. Which is the biggest value? (a) p (b) -2 (c) v (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2204117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (98\/(-7))\/(5*6\/120*-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-10)\/(-225)*((-72)\/(-112))\/(-2*(-6)\/(-28))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 173\/60 and -103\/165832.\nAnswer: 2487480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 3*g - 33. Let n(w) = -w**3 + 8*w**2 + w - 5. Determine n(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u**2 - 7*u. Let s(x) = -3*x**2 - 15*x. Suppose 64*y = 48*y - 80. Give y*c(d) + 2*s(d).\nAnswer: -d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 + 4 + 2 + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 55 = 22. List the prime factors of m.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -37, -70, -103, -136, -169, -202?\n\"Answer: -33*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 39 + -35. Suppose 2*x = -t*x + 222. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 4*y + 1 = 17, -17 = -3*u - 5*y. Does 8 divide -36*1*(-2)\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b**2 + 8. Let d(u) = u**2 + u + 9. Give 6*d(r) - 7*m(r).\nAnswer: -r**2 + 6*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by 9754.\nAnswer: 2\/4877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -c5 + 67c?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 + 0 = -4*p. Find the common denominator of 16\/(-40) + (-6)\/45*p and 62\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 * -0.051\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve d = 7*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1120001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out 343 + -53.25.\nAnswer: 289.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 40\/77 - 3\/154. Determine w, given that 0 + 0*w - k*w**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 594882616 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*l - 15*l - 19*l + 80*l - 17*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 3 a when four letters picked without replacement from {a: 18, h: 2}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 5\/4859 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -1\/18162336?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r**2 + 3*r. Let t be g(4). Let x(i) = -6*i + 2. Let h(b) = -5*b + 2. Give t*x(p) + 5*h(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -115*m**3 + 3*m**2 + 49*m + 146. Does 113 divide j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/10*33\/((-165)\/10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (455\/(-105))\/(-13*(-112)\/1092)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -369 * -1837\nAnswer: 677853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -33*u + 58. Determine x(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 1 = -1. Suppose g = 3*c - 50 + 235, -3*c - 170 = z*g. Let k = c + 125. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 200226169 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -35638568.4637 + 47960539.46483. Let o = r - 12322187. Let h = -216 - o. Round h to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 261 - 2870\/11. Let u be (140 - 6)*229\/(-8). Let y = 3856 + u. Find the common denominator of y and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 240450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 293755 divided by -5.\nAnswer: -58751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**(-1\/57)\/f)\/f)\/(f*f**(3\/13)\/f))\/(((f*f**(-2\/61)*f)\/f)\/f*f**39) assuming f is positive.\nAnswer: f**(-1862983\/45201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 + 9. Suppose 0 = -2*c + w - 1. Let s(p) = p**3 - 6*p**2 + p - 2. Let l be s(6). Solve -l - 12 = -c*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.07 * -128.\nAnswer: -8.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*g + 7*g + 2*g)*(-4*g - 8*g + 2*g) + (-2 - 2 - 1)*(2*g**2 - 3*g + 3*g) - 3*g**2 - 4*g**2 + 4*g**2 in the form z + f*g + l*g**2 and give l.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w**3 + 7*w**2 - 5*w - 3. Let v be j(6). Let s(o) = -4*o - 29. Let x be s(-6). Let l be (-3)\/(-6) + x + (-65)\/(-10). Solve -v + 9 = l*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 60 divide 84780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 25 minutes after 2:13 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sum 5 and -289.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 12147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 126, 246, 366, 486, 606, 726?\n\"Answer: 120*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -27 (base 8) to base 12.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {s: 1, l: 4, f: 2, t: 1, n: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 16761230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*9\/(-6)*(-16)\/24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -8440.3182 to the nearest one hundred.\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 216 divided by -72.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + 6*q)*(22*q - 31*q + 93*q**3 - 90*q**3).\nAnswer: 18*q**4 - 54*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -80 - 70 + 11*r**3 + 452*r**2 + 218 - 68 to z*r**2 + d*r + n*r**3 + v and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1227, 8676, 28895, 68268, 133179, 230012, 365151, 544980?\nAnswer: 775883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -d - 22 = -5*b, 4 = 5*d - d + 3*b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -5 + 1 - 2*k + 1 - 5. Let a be o(-7). Suppose 640 = a*w - w. What is the highest common divisor of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + 5 + -8 - -1 - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.25 - -8.580777303.\nAnswer: 8.830777303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 + 0)*(-6*t**5 + 3*t**5 - 3*t**5) - 2*t**5 + 6*t**5 - 15*t**5.\nAnswer: -5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 890 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 46*p**2 - 2*p - 1. Suppose 4*g - 5*k = -2*k + 20, -4*g + k = -12. Let q be d(g). Let b = 315 - q. What is the highest common factor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8375 is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes after 5:39 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 287*c**2 - 3*c + 36*c**2 - 6264 + 6262 - 59*c**2 as k + s*c + z*c**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/(-2 - 1)*-2. Let g = -7.26 - -4.5. Let p = g - 1.54. Which is smaller: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*a + 7*a - a - 2*a**3 + 2*a**2 as v + p*a**2 + u*a + c*a**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from vvwwivdviwjva?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -722.9 * -3\nAnswer: 2168.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 75*f**2 + 13*f. Let z(d) = 7 - 7 - 165*d**2 + 128*d**2 - 6*d. Determine 6*h(a) + 13*z(a).\nAnswer: -31*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4061 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*k - t + 46 + 65, -2*t - 86 = -4*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 5, d: 2}. Give prob of sequence tdt.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 7655 and 11180893.\nAnswer: 55904465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + (0 - 0) + -40 + 7 + 32.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2101020011 - -100?\nAnswer: -2101012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -37*h + 39*h + 548. Let w = h + 289. Suppose -54 = -5*s + 21. What is the greatest common divisor of s and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 242*n**3 + 7*n**2 - 7*n - 7. Let v(k) = 121*k**3 + 4*k**2 - 4*k - 4. Calculate 4*m(y) - 7*v(y).\nAnswer: 121*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 29, 31, 33, 35, 37, 39?\n\"Answer: 2*o + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2778*i**4 - 1230*i**2?\nAnswer: -66672*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 307*j + 208 - 317*j - 109 - 99.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 1847329, 7389349, 16626057, 29557459, 46183561, 66504369, 90519889, 118230127?\n\"Answer: p**3 + 1847338*p**2 - p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-9016)\/6440)\/((-1)\/25)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j**2 + 8*j + 8. Let v be n(-7). Suppose -5*t + 19 = 4. Suppose -8 = 5*k - t. Sort v, 0, k in decreasing order.\nAnswer: v, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the third derivative of m**7\/140 + 13*m**6\/90 - 3*m**5\/20 + 32*m**3\/3 + 2*m**2 + 31*m. Let q(y) be the first derivative of k(y). Factor q(p).\nAnswer: 2*p*(p + 9)*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that -5*v**5 + 975*v**4 - 27850*v**3 - 4364650*v**2 + 286671375*v - 4701536165 = 0.\nAnswer: -73, 37, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = -350.3 - -330.93. Let a = l - -0.37. Let m = a + 14. Is m at least -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, l: 1, c: 1, e: 2, v: 1, o: 1}. Give prob of sequence el.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 24 or 161.418?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 + -13. Let y(j) = j**2 - 5*j - 9. Let r be y(5). Do r and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -214532, -214533, -214534, -214535, -214536?\nAnswer: -214537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-15)\/(-2 - 3) + 9800 + (0 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2156*u + 740*u + 9071*u + 6856*u + 208*u as r*u + p and give r.\nAnswer: 19031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 100 - 20*s**3 - 13*s**3 + 93 - 193 + 41*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 46222?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -138 - 2*m**3 - 157 + 2*m**2 + 277 + 18*m.\nAnswer: -2*(m - 3)*(m - 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 933?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 271573179 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -15, 1, 22, -31, -5 in increasing order.\nAnswer: -31, -15, -5, -4, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/20358 and 49\/31746.\nAnswer: 8285706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = o - 7. Let n(q) = q**2 + 2*q - 6. Let v(l) = -3*n(l) + 2*s(l). Let h be v(-3). Which is smaller: -34\/3 or h?\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 21*i**4*t - 9*i**3*t + i**2*t - 1598*i*t wrt i?\nAnswer: 252*i**2*t - 54*i*t + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 553 minutes after 5:38 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 15\/41 + -101\/164. Which is the nearest to -1\/4? (a) -0.1 (b) 0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1886 and 81328.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002246133 to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c + 12 + 6. Suppose -3*f + 2*f - 3*m = -44, 2*m - 146 = -4*f. What is the remainder when f is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2025107 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6 + 56. Let b be (-19 - -3555 - 2)\/3. What is the highest common divisor of w and b?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6*(-16)\/(-168)*-7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -21, -42, -63, -84, -105, -126?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 21\/4 of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 47 a factor of 10904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 3*p**2 + 51*p - 1. Let a be q(-17). Let l be (a - (-9 + 6))\/(6\/9). Solve -5*m + 3 = w, 3*w = 2*w + m + l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -67 - -13061?\nAnswer: 12772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -5004 minus 427888313?\nAnswer: -427893317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 11*d**2 + 2*d + 2. Let k(i) = i**2 - 1. What is k(c) + v(c)?\nAnswer: 12*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2903549?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6455 + 64449\/10. Let p = 1 + -11\/14. Calculate the common denominator of p and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 9, d: 3}. Give prob of sequence ddd.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 163\/84 and 101\/18788?\nAnswer: 56364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 6 = -11. Let a(p) = 4*p**3 - 11*p**2 + 6*p. Let x(d) = 11*d**3 - 32*d**2 + 18*d. Let m(v) = -17*a(v) + 6*x(v). Is m(h) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 63308*h - 1139536. Calculate b(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -172 + 168. Calculate the remainder when 71 is divided by (-360)\/105*42\/l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s**3 + s + 4. Let k be q(-4). Suppose -k = -4*j - 0*j. What is the remainder when 46 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 6*t - 4*t**4 + 2*t**4 - t**3 - 3*t in the form b*t**4 + j*t + a + n*t**3 + s*t**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the third derivative of r**7\/210 - r**5\/60 - 5*r**3\/6 - r**2. Let i(p) = 9 - 1 - 7 + 1. Let n(q) = 5*i(q) + 2*l(q). Factor n(z).\nAnswer: 2*z**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8336 - 5692. Suppose 3*y - 5*w - o = 0, w = 5*y + 4*w - 4384. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -4*m**2. Let t(l) = -8*l + 8*l - 5*l**2. Give b(t(c)).\nAnswer: -100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the first derivative of -25*q**3\/3 - 15*q**2 + 25*q + 52. Let a(v) = v**2 - v + 1. Let u(f) = -30*a(f) - c(f). Determine m so that u(m) = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8 + 2. Let u = m - 10. Solve u = -3*f - 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -7235 (b) 2 (c) 0.045 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -20.8 + 20.9. Let o = -0.51 + 0.01. Which is the third smallest value? (a) o (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -51*b - 502. Let p(t) = -6*t - 1. What is g(w) - 8*p(w)?\nAnswer: -3*w - 494","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 15817 - -623?\nAnswer: 16541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/((-25)\/90*9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(11) - (-3 + -1*sqrt(11) - sqrt(11)))*-6.\nAnswer: -18*sqrt(11) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h - 4*d = 5*h - 10, -5*d = -15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out 2.07 * -11.8.\nAnswer: -24.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -142 + 996\/7. Let q be ((-8)\/14*2*42\/72)\/(-2). What is the closest to -3\/2 in l, 0.5, 4, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 657 minutes before 9:59 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*o + 795 - 627 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 3*l = -226. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 9 and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = 38 - 32. Solve 0 = -p*l + 10*l + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 192583282.\nAnswer: 2, 96291641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -16? (a) 1 (b) -2\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 24737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 2*c + 136 = 7*c, 3*p - 148 = -2*c. Let a = 399 - 385. Calculate the remainder when p is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*z - 221 = -275. Let v(y) = 63*y - 9. Let q(x) = -16*x + 2. Give z*q(i) + 2*v(i).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (3 + sqrt(425))**2 + 0)*1.\nAnswer: 30*sqrt(17) + 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 10 = -2. Let b(m) = -3*m - m**z + 0*m**2 + 1 - 2. What is the units digit of b(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 78852 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = 15 + 9. Suppose 0 = -731*s + 737*s - 60. Solve y - s = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 131533850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 + 4 + (7 - 9) + 2 + -3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-23)*w\/(w*w**(2\/27)*w*w))\/(w**(-2\/11)\/(w*w**(19\/5))) assuming w is positive.\nAnswer: w**(-29837\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxxxxjjxxxxxxxxxxx. Give prob of picking 4 x.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 4*x**4 - 6*x**3 - 14*x**2 + 6*x + 6. Let f(y) = -y**3 - y**2 + y + 1. Let s(a) = -6*f(a) + n(a). Find the third derivative of s(b) wrt b.\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 11905.0046953 - 11905. What is g rounded to 4 decimal places?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -121*q - 4 = -125*q - 3*i, 5*q + 3*i + 1 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 648\/13 - 50. Which is the nearest to h? (a) -3\/4 (b) 1 (c) 0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 155*s + 204. Let m(c) = 10850*c + 14229. Let j(p) = 4*m(p) - 279*r(p). Let o(b) = -14*b**2. What is o(j(d))?\nAnswer: -336350*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qddqd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 54 + -24. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*m - 3*m - 3*m to w*m + n and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 8 + -5. Let u = -7 - -7. Suppose u = l + 1 - 3. Which is bigger: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1833.\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 361767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 3268710607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1)\/4 - (-7)\/(-4). Let y(a) = -2*a - 2. Let h be y(b). Does 13 divide (-1)\/h*-13*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.1, 2\/3, -36100692?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 6 = 2, 0 = c + q - 25. Let u(l) = l**2 - 22*l - 15. Let p be u(c). Suppose -3*n + 161 = i, -p*i + 12*i - 628 = 4*n. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -96 + -3. Let b = h + -3. Is (-8)\/(-6) + -1 + b\/(-18) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -72c + 58d95?\nAnswer: 58668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -1474*f = -599*f + 415*f - 25320 + 97560 for f.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 113600807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -0.3+0.0776\nAnswer: -0.2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-280)\/8160*10\/7*4*42\/(-10)\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.23, 4, -5?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3.07233*0.04.\nAnswer: -0.1228932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/((-24)\/(-19618)) + (-12)\/(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that -2*m**4\/11 - 686*m**3\/11 + 21876*m**2\/11 - 187208*m\/11 + 292432\/11 = 0.\nAnswer: -373, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 24*k**6 + 6*k**4 - 15008 + 9*k**2 + 15008 + 11*k wrt k?\nAnswer: 2880*k**3 + 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8 - 9. Let c = 5 - z. Let v = -4 + c. Sort -4\/5, v, 8 in descending order.\nAnswer: 8, v, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 142, 519, 1164, 2089, 3306?\nAnswer: 4827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*l = 3*l + 10. Let m(p) be the second derivative of 1\/6*p**3 + 0 + 0*p**2 + l*p. Let t(k) = -3*k. What is t(m(i))?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 358 a factor of 15545076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -14803 minus -3?\nAnswer: -14800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56739?\nAnswer: 3, 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d + 1 = -10*d - 4*z, -13 = -3*d + z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -26 - -60. Suppose -i = 3*a - 4*a. Calculate the remainder when a is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 351929 is divided by 257.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put together -68639 and 0.382694.\nAnswer: -68638.617306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4*(1 + 2)\/6. Let h = -5 + 11. Does l = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 147.67989 hours to days.\nAnswer: 6.15332875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 25801 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(-7)\/(j**(-1\/2)*j)*j*j\/j**(2\/17)*j**6*(j**0\/j)**(-37)*(j*j**(-2\/5))\/(j\/(j\/j**(-4))) assuming j is positive.\nAnswer: j**(7137\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(210)\/(sqrt(5)*2 - sqrt(5))*4)\/((sqrt(600)*1 + sqrt(600))*-6).\nAnswer: -sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 13 (b) -1 (c) -288.5 (d) -2\/27 (e) -3 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 566 and 164511296.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 3144779 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nmjmjmmmjjmmmm. What is prob of sequence mjmm?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -158.06 + -4.54. What is p rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4688.424 hours in microseconds?\nAnswer: 16878326400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -142, -7, -48, -0.5, 0.6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u**3 - 23*u**2 - 51*u - 96. Calculate x(25).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 36573 * -3658\nAnswer: -133784034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1008 and 1440.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1032 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: Does 92 divide 68340176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/(-6) + 45\/27. Suppose 60 = -4*b + w*b. Let a = b - -47. What is the remainder when 33 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 140843\/12 + -11750. Let s = x + 77\/6. What is the fourth smallest value in -1, 4, -1\/3, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -187 + 245. Let l = -293\/5 + i. What is the second biggest value in 0.7, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -640*g**3*l*r**3 - 15*g**3*l + 23*g**3*r - 2*g**2*l*r**3 - 3*g**2*l*r - g**2*r**3 - 693*g*r**3 - 3 wrt g?\nAnswer: -3840*l*r**3 - 90*l + 138*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -30628742.37051259 - 31659.63222741. Let t = n + 30660730. Let p = t + -328. What is p rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -41, 5, 0.024?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**3\/13 + 6*z**2\/13 + 144*z\/13 + 352\/13.\nAnswer: -2*(z - 11)*(z + 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 7, n: 1, f: 4, k: 6}. What is prob of sequence fnf?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -t**3 - t - 1. Let b(m) = 15*m**3 + 6*m + 9. Determine b(j) + 6*s(j).\nAnswer: 9*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -i**2 + 12*i - 8. Let u be f(5). Suppose -6*j - u + 183 = 0. Solve -8*g + 4*g + 2*k + 14 = 0, 0 = -4*g - 2*k + j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 - 2) + 0 - 1 - (498 - 526).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 31 to the power of 1\/4, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - 80\/(-12) - 2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from {v: 1, q: 1, m: 4, p: 3, d: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 4*s, 16*a - 4*s = 19*a + 5152. Is 2 + 1 - a\/26 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*i + 24*i + 6*i - 17985 = 0. What is the remainder when i is divided by 86?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 385 and 10360.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 231 equal to 283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the first derivative of 2\/3*m**3 + 0*m**4 + 0*m**2 + 0*m**5 + 0*m**6 - 3\/7*m**7 + 1 + 0*m. What is the third derivative of s(c) wrt c?\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r + 3*i - 3 = 0, 4*i = 5*r - i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -u + 222 + 30*u + 239 + 16*u - 69 with respect to u.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (c**2 - c**2 - 3*c**2 - c**2 + 12*c**2 + 0*c**2 + (-c + 0 + 0)*(-2*c + 4*c - 4*c))*(367 - 367 - 146*c**3 + 57*c**3).\nAnswer: -890*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 2*d**2. Let v(q) = 9*q**2 + 51. Determine v(o(k)).\nAnswer: 36*k**4 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 29284235?\nAnswer: 5, 5856847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 3280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 192 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 8750 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 * 258.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**5\/7 + 2*j**4\/7 + 2*j**3\/7 - 2*j**2\/7.\nAnswer: -2*j**2*(j - 1)**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*y + 5 - 235. Let a = y - 33. Calculate the remainder when 50 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 7*u**2. Let g(m) = -m**3 + 8*m**2 + 10*m + 6. Let s be g(9). Suppose s = d + 12. Let x(k) = -d*k - 2*k + 0*k - 2*k. Calculate x(t(h)).\nAnswer: -49*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 7, p: 3}. Give prob of picking 4 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**2 + 9*m + 10. Let s(l) = l + 4. Let f be s(6). Let p be c(f). Suppose 4 = -4*k - 0. What is the biggest value in k, -3\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**2 - 8*o - 4. Let l be p(-3). What are the prime factors of 6*(-2)\/(-4) + l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 683446950\/7 at least as big as 97635280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - -1 - (13 - 8) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-1\/18)*l\/l**36*l*l assuming l is positive.\nAnswer: l**(-595\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 6, f: 2, g: 3, y: 4}. Give prob of picking 1 g and 2 m.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -627152073, -627152070, -627152067, -627152064, -627152061?\n\"Answer: 3*x - 627152076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zezr when four letters picked without replacement from {p: 2, e: 1, r: 1, f: 2, z: 6}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0.1 - -421495361\nAnswer: 421495361.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s**2 + 4*s + 3. Give q(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24273.\nAnswer: 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20)\/(-2)*3\/(-75)*2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18673.\nAnswer: 71, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 14*l - 13. Let w be f(2). Suppose 8 + 0 = 4*g - p, -g + 2 = -p. Solve g*h = -h - w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor f**3 - 16540*f**2 - 4*f + 66160.\nAnswer: (f - 16540)*(f - 2)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*t + 103 = -9*t - r, 4*t + 5*r = 133. What is the greatest common divisor of 6993 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*h - 68 = -16*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 15*w - 1. Let y be k(4). What is the second derivative of 59*z**2 + 0*z - 2*z + 5*z**3 - y*z**2 wrt z?\nAnswer: 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fu when two letters picked without replacement from {o: 2, f: 1, u: 4, q: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5809*q**3*x**3 - 15*q**3*x - 2678*q**3 + 19*q with respect to x.\nAnswer: -17427*q**3*x**2 - 15*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0975 less than 0.05?\nAnswer: -0.0475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2248 and 719.\nAnswer: 1616312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -36353, 5 in descending order.\nAnswer: 5, 4, -36353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -9*c**2 - 10*c - 15. What is f(-3)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nununnnunununnnnnnn. What is prob of picking 2 n?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-18)\/14 + 1453925\/(-13280995)*-13 + (-4)\/34\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k + 7*k = -27174. Let u be (-1 + 155)*(-39)\/(-3). Let c = u + k. Round c to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 329407423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 423593884.\nAnswer: 2, 7, 15128353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from {b: 1, w: 1, v: 1, n: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*p**5\/3 - 4*p**4\/3 + 8*p**3\/3 + 8*p**2\/3 - 4*p\/3 - 4\/3.\nAnswer: -4*(p - 1)**2*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -6341864*o**4 - 2*o**2 - 1823588?\nAnswer: -25367456*o**3 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12355892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/19, 25.772, -55.\nAnswer: -55, -2\/19, 25.772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(-5)*m**13*m**(4\/15)\/(m*m*m*m*m*m\/m**(-3\/16)*m*m*m) assuming m is positive.\nAnswer: m**(-221\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 173085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 196*r - 194*r - 224. Let h = -110 + r. Sort -10, 1, h in ascending order.\nAnswer: -10, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3002, 0.5, 3\/7, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**2 - 4*w + 2. Let s(h) = 70*h**3 - 9*h + 2. Give 2*r(k) - s(k).\nAnswer: -70*k**3 - 2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 c when two letters picked without replacement from kkwwkwkkwkcikckkh.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 15 = -h, -6*h + 3*h = -3*n - 9. Suppose h = 5*l - 424 - 36. Is 23 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (163\/9)\/(-4 + (-290)\/87) and (-115)\/120 - (-1 - 0).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) be the third derivative of -19*o**7\/630 + 101*o**4\/24 - 17*o**2 - o. Let d(k) be the second derivative of n(k). Let i(h) = -2*h**2. Give i(d(c)).\nAnswer: -11552*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor l**3 + 85*l**2.\nAnswer: l**2*(l + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(8\/(-20))*10\/(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p**3 - 6*p**2 + 7*p - 2. Let w be u(-7). Suppose 4*d + d = -30. Does 4 divide w\/(3\/d + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p = -6*p - 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zbn when three letters picked without replacement from nxcbbbybnynz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuububuububfufuu.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 3*d**2 + 3*d**3 - 22*d + 34*d + 2*d**2 - 20*d in the form y*d**2 + z*d**3 + v*d + w and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -28 (base 12) to base 16\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*v + 4309 = -3638. Let b = -876 + v. What is the highest common divisor of b and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 7 + -3 - (4 + 0 + -69 + 60)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 201 divide 8030151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28 + (1 - -2) + -7 + (-288 - -286).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1311131202 (base 5) in base 11?\nAnswer: 1902203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -3651 and 3?\nAnswer: 3654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-7) - (918\/105)\/17.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 31915 divided by -67?\nAnswer: -31915\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*k + 4 = -8*k. Let o(v) = 14*v**3 + v**2 + 5*v - 5. Does 13 divide o(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate c*p**2 + 41*c*p - 18193*c - 4370418*p**2 + 12*p + 2 wrt c.\nAnswer: p**2 + 41*p - 18193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 6740*g - 1300826. Give d(193).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h\/(h\/(h\/(h*(h*h*h**(-11)\/h)\/h))))*h*h**(-38))\/(h**(1\/7)*h*h*h\/((h*h*h*h**26*h)\/h)) assuming h is positive.\nAnswer: h**(-148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 279*x - 4461 + 9032 = -10216 for x.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-36)\/90)\/(4\/(-5)). Which is the biggest value? (a) 1\/5 (b) f (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - (24 + -14 + -1) - (75 + 1 + -3)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -44*b**3 - 186*b**2 + 602*b + 789. Calculate y(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 348 divide 28255164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nyyyhyyyhhyu. Give prob of sequence uy.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 95360 and 9536?\nAnswer: 95360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-38)\/(-1083) + 47060\/1710 - ((-49)\/9 + 5).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 550454759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 1461260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -2*p**3 - 11*p**2 + 4*p - 5. Let g be h(-6). Let c be g*(-4 - (-2 + -1)). Does 3 divide 2\/(-5) + (c - 306\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -20 + 18. Let w be o\/4 + 8455\/(-8140). Let t = -1\/148 + w. Find the common denominator of 7\/2 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6419952 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:35 PM and 7:09 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 70*d - 203. Give n(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 9874 - 9874. Is -56\/505 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -i**3 - 5*i**2 + 13*i - 20. Calculate q(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 14, e: 4}. Give prob of sequence de.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-5*2\/(-30))\/((-2)\/258). Let t = 2 - z. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that 3*d**4\/4 - 747*d**3\/4 - 242727*d**2\/4 - 4124097*d\/4 - 970530 = 0.\nAnswer: -173, -17, -1, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 141 + 143 = 4*j, 3 = -3*k. Is j a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 133846096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.2 + 0.4. Let w = -16 + 15. What is the second biggest value in 7, s, 2\/9, w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 1911247, 1911259, 1911271, 1911283, 1911295?\n\"Answer: 12*g + 1911235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 2*u. Let h(x) = x. Let i = 5 - 2. Let g = 18 - 19. Let w(m) = g*r(m) + i*h(m). Let t(o) = 4*o. Calculate w(t(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) be the first derivative of o**3\/3 + 5*o**2\/2 + 5*o - 14. What is n(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 876*z + 114807 = -1705*z + 4141*z + 3907*z for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 416 minutes after 11:36 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -11*c + 53*c - 3*c - 19*c. Let l(j) = -6*j**2 + 4*j**2 - 4*j**2. Calculate l(t(h)).\nAnswer: -2400*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let r = -165 - -171. Let k(t) be the second derivative of 2*t**2 + 2\/3*t**3 + 2*t + 7\/20*t**5 + 0 - 1\/24*t**r - t**4. Factor k(f).\nAnswer: -(f - 2)**3*(5*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 23*w - 13*w - 18*w - 9*w as f + z*w and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00001465 rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1c20ec + 5a?\nAnswer: -1c2092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: c88b (base 15) to base 9\nAnswer: 64175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 127710 a multiple of 774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -121 + 113 = -4*a. What is the second smallest value in 3, -2, a, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 2\/9, -604 in decreasing order.\nAnswer: 2\/9, -7, -604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 240, 324, 422, 540, 684, 860?\n\"Answer: o**3 + o**2 + 74*o + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 320 and 16160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -105 - 336. Let k = -412 - n. What is the remainder when 376 is divided by k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6778125 = 8*m + 78*m - 11*m. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*s - 1089 = -718*s - 3138 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(3\/5)*f\/f**(-4)*f)**(-37) assuming f is positive.\nAnswer: f**(-1221\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58 = 3*a + j, 5*j - 116 = -5*a - 16. Calculate the remainder when 94 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -389960795 take away 0.114001?\nAnswer: -389960795.114001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = -7 - -35. What is the highest common factor of x and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 528426 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 165 minutes before 1:07 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -7c9a50 (base 15) in base 12?\nAnswer: -1bb27a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) -13 (b) 40\/127 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4394005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -d + u - 9035 + 9018, -d - 6*u + 74 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t**(4\/9)*t\/(t*(t\/(t**(2\/15)\/t))\/t*t*t*t)*(t\/(t*t\/(t*t**(-1\/5)\/t)*t*t))**(-23\/5))**(-2\/113) assuming t is positive.\nAnswer: t**(-5534\/25425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 23783 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a**(-10)\/(a**(-2\/5)*a))\/(a**(-7)\/a**(3\/10)))**(-6))**(-4) assuming a is positive.\nAnswer: a**(-396\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 12) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.2 - 0.2. Suppose 0 = -4*x - x - 700. Let q be (-126)\/x - 2\/5. Is u >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 99 and 957.\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 34937387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 75.1158 rounded to 0 dps?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.07 * 0.194947.\nAnswer: 0.01364629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1 - (-10)\/(-4))\/(13\/(-156)). Solve f - 6 = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -53*l + 56*l - 60. Suppose 2*m = 4*b - 10, b + 0*m - 2*m + 2 = 0. Find the third derivative of -34*r**6 + 40*r**2 + l*r**6 - 35*r**6 + b*r**6 wrt r.\nAnswer: -5400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 22 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -5755*w - 5774. What is g(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -j - 4*k + 5601, 0 = 3456*j - 3458*j + 2*k + 11172. What is the greatest common factor of j and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -135.02846 times -0.16\nAnswer: 21.6045536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be (4 + -1 + -5)*75\/150. What is the nearest to 2\/11 in 11, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 1 + 6)*(-11 + 0 - 3)*(-56 + 56 + 5*y).\nAnswer: -70*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a be 14 + -9 + 0\/1 - -1. Let l be (16 + 26)\/(a\/76). What is the greatest common divisor of 56 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s - 10*u + 2 = -9*u, -5*s + 30 = -5*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(-3*sqrt(68)*1 + -4) + 3*-2*sqrt(68)*4 + 3)**2.\nAnswer: -648*sqrt(17) + 3177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 17685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -565 + -59?\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -4*t**3 + 2*t**3 + 2 + 2*t**2 - t**3 + t**3 as z*t**3 + y*t + r*t**2 + s and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*n - n + 0*n)*(-9124 - 805 - 3310).\nAnswer: -13239*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify v\/v**(-5)*v*v**14*(v**(-1\/10)\/v)\/v**(-13) assuming v is positive.\nAnswer: v**(329\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -i - 0 - 10. Let r(v) = -v**2 + 26*v - 35. Let n be r(24). Suppose -3*x - 48 = 5*d, -5*d - x = 33 + n. Is i != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 63 by 1.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(147)*1*3 - (3 + 1*sqrt(147) + 4))**2.\nAnswer: -1078*sqrt(3) + 17836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 709 minutes after 11:06 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 170237911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -2*m**2 + 12*m + 12. Let u(w) = -w - 1. Suppose 3*f + 69 = 66. Give f*s(v) - 10*u(v).\nAnswer: 2*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-13) + 300\/(-78)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 90 divide 45895282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*x + 10 = -26. Let k = 7 - 5. What is the closest to k in 0.2, -5, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**13*f**(-4\/9)\/f*(f\/(f\/f**10)*f*f*f)\/f**(-3\/7))**19 assuming f is positive.\nAnswer: f**(31103\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2 - 2) + 0 + 2. Let w be (1*10)\/(c - 1). Let f = w - -9. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i**3 + 5*i**2 + 4*i + 2. What is z(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -89.36 times 28?\nAnswer: -2502.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 90652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -1243*t + 34804. Calculate x(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of -14 and -0.2.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 613486 is divided by 1325.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -277*b = -313*b. Suppose -12\/5*w**5 + 0*w - 4\/5*w**2 + 12\/5*w**3 + b + 4\/5*w**4 = 0. Calculate w.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -9 + 165 + (-2 - -6). Let u = -156 + x. Determine o so that -u*o**3 + 80\/11*o + 62\/11*o**2 + 6\/11*o**4 - 32\/11 = 0.\nAnswer: -1, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1*-1*(1 - -3). What is the derivative of 3*n**4 - n**4 + 2*n**4 - 5*n**w + 5 wrt n?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3030570 is divided by 357.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2 + 1)*((4 - 2) + -12). Which is smaller: 11 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 17415 and 335583?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (12\/198)\/((-1)\/3*-1)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -149*l + 2872. Calculate t(17).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kdddddkkkdkd. Give prob of picking 1 k and 1 d.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -4\/3, -3, -0.1, 34920?\nAnswer: 34920","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -g**2 - 2*g + 2. Let x be b(-3). Suppose 0 = w + 8*t - 12*t - 11, 14 = 2*w - 4*t. Sort x, 6, w.\nAnswer: x, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the second derivative of -484\/9*a**2 - 47\/135*a**6 - 1585\/54*a**4 + 1496\/27*a**3 + 619\/90*a**5 + 1\/189*a**7 - 1 + 25*a. Factor w(k).\nAnswer: 2*(k - 22)**2*(k - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -747.09 take away -0.4?\nAnswer: -746.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/((-40)\/14 - -3). Let r(z) = -4*z + 5*z + 7 - 2*z. List the prime factors of r(f).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -21*(10 + -3 + -18). What is the highest common factor of 308 and d?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (-54 - -62 - 1) + (3 - -1) + -61\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 13548702 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 146*a**2 - 49*a + 83. What is the thousands digit of d(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 21*z**2 - 18*z + 72. Let o(q) = -58*q**2 + 53*q - 216. Calculate 4*o(v) + 11*x(v).\nAnswer: -v**2 + 14*v - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*a - a + 5*a)*(-a + a + 12*a**2) + 206*a - 100*a - 107*a + 219*a**3 to the form p*a**2 + c*a**3 + o + b*a and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 - 1) + 62 + -59?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -63*i + 83. Determine k(-7).\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 269*h. Let t(a) = 834 + 0*a + 838 - 1672 + 2*a. Give t(d(g)).\nAnswer: 538*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 252*i**2 - 152813048 + 152813048.\nAnswer: 252*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*d - 1683 + 823 + 842 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -394994328*h**4 - 1004*h - 115322.\nAnswer: -4739931936*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 - 1 = 2*y. Let x(c) = c**2 + 7*c - 1. Let d(v) be the second derivative of -v**4\/12 + v**3\/6 - 194*v + 25. Calculate y*x(s) - d(s).\nAnswer: 2*s**2 + 6*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 2, p: 3, f: 2, q: 1, o: 4}. What is prob of sequence qo?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -450 divided by -1.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 14c89b0 (base 14) to base 10\nAnswer: 10165694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -17 + 70. Let g be 3\/(-9)*(92 - -1). Let j = h + g. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 61583082 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**2 + 18*r - 77. Let g be m(11). Suppose g = -12*a + 6*a + 1296. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 8*p - 23. Let r be m(5). Find the third derivative of 5*x**2 + 9*x - 9*x + r*x**3 - 4*x**2 wrt x.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-270352*j + 270352*j + 2762*j**2)*(2*j - 5*j + 2*j).\nAnswer: -2762*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(4\/3)\/((n*n**(2\/3))\/n)*n\/n**(-8)*n*n**1)**(1\/9))**(1\/8) assuming n is positive.\nAnswer: n**(35\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 305509 and 2154.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3 - 2*-1 - 0. Suppose -36 = -w*h - 16. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -7*i - 1. Suppose 0 = 2*h + 13 - 3. Let f = h + 7. Determine l(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44111521 (base 7) in base 16?\nAnswer: 39bf83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.4 (b) 1 (c) 2\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vxxxvrl. What is prob of sequence xxv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1d9 - 142573?\nAnswer: -14275c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -5*i. Let r(g) = -18622*g + 18622*g - 288*g**2. Give c(r(z)).\nAnswer: 1440*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -28\/4875 and -2\/273?\nAnswer: 34125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-6)\/(-27) + (-34)\/(-9). Let o(h) be the second derivative of 1\/6*h**3 + 1\/12*h**4 + 0 + m*h - h**2. Determine n so that o(n) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + -1 + 6 + (0 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -18 - -7. Let i = 15 + c. Let t = 24969 - 24973. Put -2, t, i in ascending order.\nAnswer: t, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 20, -3, 48 in ascending order.\nAnswer: -3, 20, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 79, 153, 134.\nAnswer: 3, 79, 134, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 646 minutes before 2:41 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(396) - sqrt(396)*-4))**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 4*x = -12, 12 = -3*c - 5*x - 14. Put c, -1\/5, -8 in ascending order.\nAnswer: -8, c, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.6 + -0.3. Let c be -6 - (5\/35 + 402\/(-70)). What is the closest to -2 in q, c, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 108*m**4 + 31312*m**3 + 2236736*m**2 - 4770112*m + 341056 = 0. What is m?\nAnswer: -146, 2\/27, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -3 times -0.055?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -6*p + 17. Suppose -10*u - 48 = -2*u. Let r(t) be the second derivative of -4*t + 0 - 3\/2*t**2 + 1\/6*t**3. What is u*w(i) - 34*r(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 270 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n be 51\/4 + (-4)\/(-16). Let j = n + -7. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 215636321 and 1511?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*s + 96 = 5*s. Suppose 2*y + 3*c = 173, -y = c + c - 86. Calculate the highest common divisor of s and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 66 - 61. Let q(o) = -o. Let a(l) = 2*l. Let d = 14 - 2. Calculate d*q(s) + p*a(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2 and 2*(2 + (-8)\/((-48)\/105)).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2393 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:10 PM and 8:46 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = -p, -2*x - 14 = -3*p. Is x greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -84*a**6 - 142*a**2 + a wrt a?\nAnswer: -10080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) be the first derivative of 5*a**4\/2 - 122*a**3\/3 + 192*a**2 - 72*a - 326. Suppose l(z) = 0. What is z?\nAnswer: 1\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 135825 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 16*m - 97. Let l(v) = 3*v + 1. Let t(z) = a(z) + 5*l(z). Let c(d) = -30*d + 89. Let y(r) = 6*c(r) + 7*t(r). Differentiate y(h) with respect to h.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(75) - (0 + sqrt(3))*-3 - -5*(0 + (3*sqrt(12)\/sqrt(4))**2)) + -1.\nAnswer: 8*sqrt(3) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find j such that 20*j**4 - 120168*j**3 + 1486844*j**2 + 983448*j - 623584 = 0.\nAnswer: -1, 2\/5, 13, 5996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 319007308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u + 64 - 171 = -3*g, -3*g + 211 = -u + 5*u for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*n + 41 = -29 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 32437 a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1586, 3180, 4774, 6368?\nAnswer: 7962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -32 at least as big as -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 495 and 718410?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the third derivative of 0 - 40*r**2 + 0*r**3 - 3\/5*r**5 - 3\/35*r**7 + 0*r - 1\/112*r**8 - 1\/2*r**4 - 13\/40*r**6. Factor f(x).\nAnswer: -3*x*(x + 1)**2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2875, 2880, 2885?\nAnswer: 2890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 109\/1008 and 61\/1120?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-3)*(125\/(-4))\/25.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -3084000 rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 13965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-5))\/(532\/133)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 15*a**2 + 33*a - 14. What is r(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 101878276 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that 4*f**4 + 28*f**3 + 64*f**2 + 48*f = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the second derivative of b**10\/5040 + b**7\/360 - 7*b**4\/12 + 5*b. Let j(v) be the third derivative of m(v). Find the third derivative of j(g) wrt g.\nAnswer: 360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-2\/5)*c**(-2\/9))\/(((c**(-4\/7)\/c)\/c)\/(c\/((c**(6\/13)*c*c)\/c)*c)) assuming c is positive.\nAnswer: c**(10187\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**3 - 10*s**2 - 8*s + 12. Let k be c(-9). Suppose k*t - 27 = 3*n - 6*n, -t + 13 = 2*n. Solve 0*b + t*b = 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) be the second derivative of -3*q**3 + 6*q**2 - 1\/9*q**4 + 0 - 76*q + 1\/10*q**5. Find p, given that d(p) = 0.\nAnswer: -3, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:50 AM and 5:22 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*i + 2*n + 3954, 0 = -i + 5*n - 8*n + 1973. Suppose 0 = -5*h + 5*b - i - 569, 3*h + 1523 = 2*b. What is h rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 165 in 1\/3, 1\/37, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 2 b when three letters picked without replacement from olbogobboo.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 1 - 1) + -113 + (69 - -4).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*d = -40*d - 52. Sort 34, 2, -5, d in ascending order.\nAnswer: -5, d, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(528)*5 - (sqrt(528)*-1*3 + sqrt(528) - sqrt(528)))\/(3*3*sqrt(66)\/sqrt(6)*5).\nAnswer: -28*sqrt(3)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -23 + 6 - -14 - (-1 - -9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4865 is divided by 711?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = -5*m + 345, 5*m + 2*g - 333 = g. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pxp when three letters picked without replacement from pxpp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 2925*r + 274562 - 45503 - 21023 = -87389 for r.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be 601\/(-6) + (-5)\/(-30). Let p be (-18)\/15*s\/6. Is 10\/4*744\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b**2 + 6*b. Let k be i(-6). Let q = 11 + k. Let j be 90\/q + 6\/(-33). Solve h = -c - 2, 2*h - 8*c = -4*c + j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-687)\/(-916))\/(5\/(-120)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 6*b = -2*b + 10, -4*b - 8 = 2*w. Let y = 0 - w. Suppose -2*t - 3*p - 420012 = 0, y*t + 0*t + 420004 = -p. Round t to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.12 in 0.3, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the first derivative of 0*l**2 + 1 + 5*l - 5\/3*l**3. Differentiate g(w) with respect to w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o, 1 u, and 1 v when four letters picked without replacement from {u: 3, n: 5, o: 3, v: 2, b: 7}?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -227 = 7*x - 10. List the prime factors of (28 + x)\/(3\/(-269)).\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 908\/73094*(-529)\/138?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (u**2 + 34*u**2 + 15*u**2)*(-1 - 3 - 1) - 2*u**2 + 1 + 6*u**2 - 5*u**2.\nAnswer: -251*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 140 = 5*n. Let l be (7\/n)\/(2\/50). Suppose -5*o = 2*t - 13 + 5, 20 = l*o + 5*t. Solve o*f = -f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -65, 26, 183, 412, 719, 1110, 1591, 2168?\nAnswer: 2847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/(-140)*-5 - 26\/(-364))*16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2615 + 112451\/43. Let t = -116\/215 + o. Let f = -0.2 - -0.3. Which is the nearest to f? (a) 0.4 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1172?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -145*o. Let m(b) = b**2 + 203*b. Let k(d) = -5*m(d) - 7*r(d). Let s(t) = 5*t - 5*t + t + 30*t. Give s(k(x)).\nAnswer: -155*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by -185223655.\nAnswer: -1\/185223655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 - 124 = -q. Let f be ((-310)\/q)\/(4\/18). Does 5 divide (50\/f)\/((-6)\/99)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1.8740778 and 0.022454?\nAnswer: 1.8965318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 28412138101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 4*468\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is (2 - -1060) + -3 - 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6.52 + 1945.48. Let o = c - 1951.999999087. Round o to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(((-56)\/(-7))\/(-32))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 950 - 13046 = -14*i. Calculate the highest common divisor of i and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1035 - 1035. Let q(d) be the second derivative of 0 + p*d**3 + 3\/4*d**4 - 1\/5*d**5 + 4*d + 0*d**2. Find the third derivative of q(a) wrt a.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 66 and 5973.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2730\/110 + (864\/2574 - (-2)\/(-13)). What is the highest common factor of 675 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify -3*-5*(sqrt(2352) + 0) + (0 + (sqrt(2352) + sqrt(2352) + -1 + sqrt(2352))*6)**2.\nAnswer: -5628*sqrt(3) + 762084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from enne. What is prob of picking 1 e and 2 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + h + u + 49 = 0, -u = -h + 10. What is the remainder when 31 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5.629 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 28*x + 73 - 185. Let f be 6\/(-6) - -1*4. Solve x*k - f = -7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -13*d + 31*d + 27*d as f*d + y and give f.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-30)\/27*((-10)\/(-4))\/(740\/(-222))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -7*d + 2. Let n(f) = 42*f + 70. Let a(u) = -41*u - 35. Let s(g) = 7*a(g) + 4*n(g). Determine 35*h(l) - 2*s(l).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*y + 5*y**2 + 3*y - 3*y**2 + 2 + 4*y - 4*y - 4*y**2 + (y + 4 - 4)*(y - 2*y - y).\nAnswer: -4*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 254489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1174 + 1177. What is the smallest value in 5, s, 33?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 6\/(-9)*-6 + 8\/(-4). Let q be 22\/x + (3 - -3)\/3. Suppose 3*w - q = -t, w - t - 9 + 10 = 0. Solve -w*o = -0*o + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -976*n**3 - 488*n**3 - 313*n**3.\nAnswer: -1777*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 + 0. Suppose 8 = -2*k + s*j, 3*k + 3*j = 6 + 9. Solve 3*c**2 - c**4 - 2 - c**k + 1 = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 0*p + 2 - 1 - p - 5. Let w be k(-5). Solve -11 = -5*v - w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2.8978 to one decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 35 in -1, -1\/16, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 89*u**3 - 134*u**3 - 4*u**2 - 33*u**3 - 4*u**2 + 5*u**2 as m*u**2 + j*u**3 + f*u + i and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 250.5213 centimeters to micrometers.\nAnswer: 2505213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q**2 + 409744*q - 12698220 = 0 for q.\nAnswer: 31, 102405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes after 10:21 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 5338 = 5*s + 2*i + 5384, 58*i - 12 - 27 - 27 = -5*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0555973 to 3 dps.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + 1 + (-7 - (-24 - -13)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-60)\/60)\/((-2247)\/428*22\/3).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 31*a**2 - 13*a + 7. Let i be y(4). Suppose h + i = 2*l, -2*l + 164 = h - 289. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - 1036\/65 - 4884\/10582?\nAnswer: -67\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 - 110137.\nAnswer: -110136.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Total of -2.8 and 30108149758.\nAnswer: 30108149755.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2331384 and 4488?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 1 (c) 1\/18 (d) 2\/13 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a. Let u be f(-11). Let m(n) = n**2 + 11*n + 4. Let t be m(u). What is the derivative of 7 - 10*s + t*s**3 + 10*s wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -311, -943, -1575, -2207, -2839?\nAnswer: -3471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 210 and 450.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 970202 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -358 (base 10) to base 13\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7*c**3*n**2*q**3 - 192145*c**3*n**2*q + 275*c**2*n*q**2 - 5*c**2*q**3 + 3*c*n**2*q**2 + 4*c*q + 17*q wrt c.\nAnswer: 42*n**2*q**3 - 1152870*n**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 145*u + 390*u - 2675 = 0. Solve 0 = 17*i - 39 + u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 3)*(-4 + 3 + 2)*(-4*j + 4*j + 2*j)*(-9*j - 4*j + 3*j).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -996*k + 989*k + 259. Calculate the remainder when 347 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (34\/(-4) - 8)\/((-6)\/8). Suppose 2*b - 86 = -h. Which is smaller: 30 or b?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 13d753 + 39?\nAnswer: 13d78c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 - 2 = -5*m. Suppose -m*z = -z + 9. Let c(o) be the second derivative of -o**4\/12 - 2*o**3\/3 + o**2\/2 - 1116*o. Calculate c(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-56)\/21)\/(4\/(-6)). Suppose -4*c + 5*k + 243 = 0, k - w*k = -4*c + 237. Suppose q = -3*x + 2*q + 77, c = 3*x + 3*q. Is 24 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3182 and 1815812.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 166.4837178 to 0 dps.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8021, 16028, 24035, 32042?\nAnswer: 40049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/(-138) + 15372\/966.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1497050*h**3 + 173*h**2 + 224 wrt h?\nAnswer: -8982300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -p**2 - 10*p + 9. Suppose 5*r = -29 + 89. Let t(s) = s - 23. Let q be t(r). Let i be n(q). Which is bigger: i or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2.112 + 31.172. Let w = 29 - v. Let y = w + 0.05953. What is y rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = t + 12, 0*h + 24 = 4*t + 2*h. Let s(v) = -v + 3 + 1 + 1. Calculate s(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 25*b**3 - 8*b**2 - 13*b + 61. Suppose -32*g + 8*g + 144 = 0. Is l(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n**5\/9 + 26*n**4\/3 - 358*n**3\/9 + 626*n**2\/9 - 160*n\/3 + 136\/9 = 0 for n.\nAnswer: 1, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.77 - -0.776. Let x = 0.394 + a. Let n = 141 + -145. Put -3\/5, x, n, 2\/7 in decreasing order.\nAnswer: x, 2\/7, -3\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -4*w**2 + 295*w - 13. Does 49 divide h(35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1081 + 4?\nAnswer: -1079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -a0a - 405?\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from {k: 3, x: 3, b: 2, q: 1, y: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 305*v - 291*v = -153 - 183 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -3*f + 28. Let o be q(8). Let l(n) = 0*n + 2*n**3 + o - n**3 + 6*n**2 + 6*n. Calculate l(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 121377*w + 3 - 121370*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/m**(-2\/29))**(-13)\/(m**(1\/4)\/m)**(1\/5) assuming m is positive.\nAnswer: m**(-7973\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 859461.\nAnswer: 3, 286487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -65*w - 455. Determine k(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 457, 469, 481, 493?\n\"Answer: 12*z + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-98)\/21 + -6*4\/(-6). Put 1\/3, t, 1 in ascending order.\nAnswer: t, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -591, -1185, -1807, -2451, -3111, -3781, -4455?\n\"Answer: r**3 - 20*r**2 - 541*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -85*y**5 - 101*y wrt y?\nAnswer: -1700*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*j - 1085*t + 1087*t - 120, 58 = 3*j + 4*t for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xwja when four letters picked without replacement from {w: 1, x: 2, a: 1, j: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 2324 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*a = -9*a. Suppose 5*s - 2*d - 128 = a, s + 5*d + 92 = 4*s. What is the highest common divisor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**3 + 2*h**2 + 2*h - 1. Let f be -4 - (3\/1 - 5). Let a be d(f). Let z(y) = -y**3 - 4*y**2 - 6*y + 5. Does 20 divide z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4088)\/(-32193))\/((-6)\/(-27))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 735505117 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 31177 + -30845. Calculate the highest common divisor of j and 49468.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 68.4 - 10.4. Let l = -59 + q. What is the nearest to -3\/4 in -2, l, -0.02?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -39980, -39983, -39988, -39995, -40004, -40015?\n\"Answer: -z**2 - 39979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**3 + 6*v**2 + 7*v + 1. Let a be p(7). Let x be -12 + 9 - (a + -7). Solve -x*f = -f + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 26.7696907 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 17031881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c be (0 + -1 - -1)\/2*1. Suppose 5*i = 2*z - 22, 4 = 2*i - c*i. Calculate the highest common divisor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6 - 3. Suppose -3 = n*o - 33. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -5, 3, -4006.1, 0, 5, -2 in increasing order.\nAnswer: -4006.1, -5, -2, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -66 - -65. What is the units digit of -5*(g + 4 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r**2 + 8*r - 6. Let t be a(6). Suppose 3 = -5*p + t*p. Suppose p*x - 4 = x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 57*j + 84. Let i(y) = -71*y - 83. Calculate 4*i(o) + 5*k(o).\nAnswer: o + 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 23608 equal to 2\/58411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c = 3*y + 16, 203*c - y - 12 = 207*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 8*x - 9*x. Which is greater: -1\/4 or x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k, 1 e, and 1 u when three letters picked without replacement from {y: 3, k: 2, z: 4, e: 3, i: 3, u: 1}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*a - 3982 = 7*a. What are the prime factors of a?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*h**5\/2 - 3*h**4 + 27*h**3\/2 - 6*h = 0. Calculate h.\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 46699 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nun when three letters picked without replacement from {s: 1, r: 1, n: 2, k: 1, z: 1, u: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -191895362 + 95947685 + 60*x**3 + 95947677.\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 + 3 + 1)*(-2)\/((-156)\/91).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -9183 + 688709\/75. Let t = 3\/25 - j. Let x(m) = m + 3. Let r be x(-4). Is r smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 238279374 to the power of 1\/2, to the nearest integer?\nAnswer: 15436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (2 + -9 + 5)*-199*19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -3*n**2 - 57*n - 177. Determine i(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3\/2 + 1\/6. Let d = 19.5 - 19. Let y = 0.3 + 0.4. Sort y, s, d.\nAnswer: s, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -4 + -71?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4701569738 to the nearest integer?\nAnswer: 68568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 111007.\nAnswer: 13, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -x + 57 - 4*x + 14*x. Let c be h(-5). Solve -2*z = -2*m - 2, -2*z - 4*m + m + c = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w + 4*w - w + (-1 - 2*w + 1)*(-1 + 3 + 8) - 5*w + 5*w - 6*w)*(-5 + 1 + 3)*(-2 + 0 + 0) + 2*w - 4*w + 0*w.\nAnswer: -52*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 213331112211 + 12?\nAnswer: 213331112223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 9454.84 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o**3 - 4*o**2 + o + 4. Let q be k(4). Let x(l) = 4*l - q*l + 6 - 4*l**2 + l**3 - 3*l. Let a be x(5). Sort -1, -2, a in decreasing order.\nAnswer: -1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1807744 or 1807761?\nAnswer: 1807744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j*j\/(j**(-1)*j))*j*j*j**(1\/4)\/j*j*j*j**(1\/7)*j**(1\/5)\/j)\/(((j\/(j\/j**(-6)))\/j**(-1\/5))\/((j*j**(4\/5)*j)\/(j\/(j\/(j*j**(-6)))))) assuming j is positive.\nAnswer: j**(2127\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 253271.4 to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q**3 - 9*q**2 + 4*q - 1. What is the tens digit of v(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -2*n**3 + 23*n**2 + 3*n - 17. Let k be z(14). What are the prime factors of ((3 + -2)\/(5\/k))\/(-1)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 440 and 88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*-1518.\nAnswer: -3036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 4*i**2 - 2*i - 1. Let o be g(-1). Let y be (o + -5)\/(3\/(-1)). Suppose 4*f + f - 15 = y. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*(o*o\/((o\/o**40)\/o*o))\/o)\/((o**(3\/5)\/o*o)\/o))**(-2\/11) assuming o is positive.\nAnswer: o**(-414\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -3135, -2591, -2047, -1503, -959?\n\"Answer: 544*m - 3679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*m + 24459 = 134923. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 113.42 + -42.12. What is z rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -494 - -605. Suppose -15*t - 12 = -19*t. What is the greatest common divisor of t and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + -27 + (-18 - (-9 - -6)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1626*q**2 - 36*q**3 + 1 + 11*q**3 - q + 1624*q**2 + 6*q**4 - 4*q**4 to the form u + v*q**4 + z*q + j*q**2 + y*q**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -3723 + -0.079.\nAnswer: -3723.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the first derivative of -5*w**4\/2 - 16*w**3\/3 - 5*w**2\/2 - 4*w + 20. Let z be m(-11). Suppose 15*c + z = 20*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*g + 2838 + 3*g + 2*g.\nAnswer: g + 2838","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 24690, 49395, 74114, 98841, 123570, 148295?\n\"Answer: -d**3 + 13*d**2 + 24673*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:28 PM and 10:00 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = -4*z + 3. Let f(q) = -7*q - 1. What is the tens digit of f(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 55, 111, 167, 223, 279?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1 - -14\/15. Let j = a + 17\/30. Factor -q + j*q**2 + 1\/2.\nAnswer: (q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - (220\/(-90))\/((6\/4)\/((-117)\/104)).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:57 PM and 8:58 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 36 minutes before 4:07 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -897 + 2*l + 582*l**2 + 897 - 2*l to the form m + t*l**2 + g*l and give t.\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 588*h - 577*h + 121 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -5*s. Let k(v) = -v**2 + 7*v + 5. Let q be k(7). Suppose 0*x = q*x + 5. Give p(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 157 = -161. Put -2, -10, 1, z in ascending order.\nAnswer: -10, -2, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12 + 4216\/425 - (-2)\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-20 + 36)\/(3 + (4\/(-1) - 1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**2 + 10*x + 61. Calculate the smallest common multiple of m(-5) and 99.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 219, 391, 563, 735, 907, 1079?\nAnswer: 1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 3, -3\/4, -0.1, 5, 0.068?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, 32, 1, 5\/2 in ascending order.\nAnswer: -0.2, 1, 5\/2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 124? (a) 0.07 (b) -4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 3*g + 168 = 0, 3*g - 195 = -5*v + 101. Let o = 99 - 82. Suppose 0 = o*s + 51 - 391. What is the remainder when v is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -248.249 - -254.249008. Let g = q - 6. Round g to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -912\/11 at most 0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 2*y, 4*r + y = -y + 86. Suppose 2*w + w = 4*g - 76, -g - 4*w = -r. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:49 AM and 6:10 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**3\/7 - 8436*z**2\/7 + 8895762*z\/7.\nAnswer: 2*z*(z - 2109)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 32, 93, 204, 371, 600?\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -7*h. Let m(w) = 38*w - 10*w + 7 + 46*w - 9. Determine m(p(d)).\nAnswer: -518*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -98*q + 366 = 1254 + 288 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 245912 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify v*v\/(v*(v\/(v**(1\/8)\/v))\/v)*v*v**(1\/5)\/v*v\/(v**(-2)\/v)*v*v**4*v assuming v is positive.\nAnswer: v**(413\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = 4*z - 13, 2*z - 5*a = 16 - 7. Is 52\/(-2 - z)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 90*s - 1256. What is the lowest common multiple of x(14) and 268?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u - 3*q + 255 = 0, -2*u + 5*q = -5*u + 169. Calculate the least common multiple of u and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 5*w - 94 = 0, 101 = -3*q - w + 36. Let a = 282 - 280. Suppose -4*r = -4*h - 56 - 12, 0 = h - a*r + 13. Is q greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0095 - 25819.\nAnswer: -25818.9905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**31*t)\/(t**(1\/5)\/t))**(-3\/22) assuming t is positive.\nAnswer: t**(-246\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) be the third derivative of -f**4\/3 - f**3\/6 - f**2. Let i(n) = -n**3 - 3*n**2 - n. Let m be i(-1). Give c(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*f - 2*u + 2, -6 - 8 = -3*f - 2*u. Let r = 17 - 12. Solve -d = -3*c - 18, -6*c - 5 = -f*c + r*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 226 is divided by 67.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 22787925803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 2*s. Suppose -3*a + 19 = 3*w - w, -a - 2*w = -9. Let p(i) = -a*i + 8 - 8. Calculate j(p(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 7) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.47 + -0.35. Let l = 0.28 - h. Let z = -0.1 + l. Which is the nearest to z? (a) 5 (b) 0.3 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the first derivative of -y**2\/2 + 17*y + 83. Let c(l) = 2*l**2. Determine b(c(h)).\nAnswer: -2*h**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -26 - 26 = n - w, n + 13 + 49 = 3*w for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -364*l**3 + 249*l wrt l.\nAnswer: -2184*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-53)\/(-2) - (-3)\/6. Let m be (2 - -1)\/(1\/6). Let i = t - m. Calculate the remainder when i is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rpy when three letters picked without replacement from dypryqyryqryyrd?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*m + 9*m = -4*a - 16, 10*m - 4 = 31*a - 30*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) -3 (b) 0.3 (c) 12 (d) 5 (e) 0.0514\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5706315 and 215.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 816678 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (3 + sqrt(25)\/sqrt(5) + (sqrt(50)\/sqrt(5))\/sqrt(2) + (sqrt(55)\/(sqrt(11)*-4*4))**2 + 0)*3.\nAnswer: 2831\/256 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -5*l + 276. Give j(50).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -11.989101 to 2 dps.\nAnswer: -11.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9086, -17904, -26722, -35540, -44358, -53176?\nAnswer: -61994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 19*z**2\/2 - 19306*z + 42630.\nAnswer: (z - 2030)*(19*z - 42)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:57 PM and 8:08 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(3\/2)*j\/((j\/(j*j**(-7))*j)\/j*j)*j*j\/j**(-12)*j*j**(4\/3) assuming j is positive.\nAnswer: j**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4 + -3. What is the remainder when (-18)\/(-36) + 2\/4 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 120460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -332 (base 5) to base 16\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -343 + 347. Let o(b) = -3 - b**3 - y + 13*b**2 - 6*b**2 - b**2 + 2*b. Calculate o(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(243)*3 + -1.\nAnswer: -1 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 + 7 = 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b, 1 h, and 1 s when three letters picked without replacement from {h: 3, b: 3, s: 2}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/199577 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -1.3 - 1970.249485684?\nAnswer: -1971.549485684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 383909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out 140340.1 * 1.\nAnswer: 140340.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 12165, 97065, 327549, 776409, 1516437?\nAnswer: 2620425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*w + 2 = -5*j - 24*w, -4 = -10*j + 4*w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aassawwawwsawwww. What is prob of picking 1 s and 2 a?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 3577227.3ms in hours?\nAnswer: 0.99367425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zfyzyztzheeztzz. Give prob of sequence yhyz.\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -1020*v**3 + 6*v**2 - v. Let g(l) = -2*l**3 + 6*l**2 - l. Give 5*f(h) - 5*g(h).\nAnswer: -5090*h**3","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(z) = 19*z - 5. What is h(-3)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from {j: 2, o: 3, w: 3, z: 1, i: 2, y: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*q - 24 + 60 - 9 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 35 times -3.7\nAnswer: -129.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*n - 2\/13*n**3 + 0 - 24\/13*n**2.\nAnswer: -2*n**2*(n + 12)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 56982 - 40379. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -103.31 times 2\nAnswer: -206.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -92*p + 37. What is the tens digit of u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.35 or -90.9246?\nAnswer: -90.9246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -3300*i**2 - 6*i + 12. Let l(t) = -3301*t**2 - 5*t + 10. Let f(d) = -6*l(d) + 5*x(d). Let n(m) = 2*m**2. Determine f(n(w)).\nAnswer: 13224*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -112\/3 + 37. Let a = 3081 - 3049. What is the closest to a in -2\/11, -2, w?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1683601 is divided by 48102?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (12*p - 2*p + 5*p)*(-6 - 3 + 2)*(-4*p - p + 4*p - 2*p**2) as z*p + s*p**3 + a*p**2 + h and give a.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 323435 (base 7) in base 3?\nAnswer: 2212110122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 119 in -2\/675, 0.4, -1\/5, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (57 + -109 - 84) + 59?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 + 22\/(-8))*(99 - (-50758)\/(-574))?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1334, 1425, 1514, 1601, 1686, 1769, 1850?\n\"Answer: -i**2 + 94*i + 1241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from {s: 2, l: 11, p: 7}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*c, f - 218 - 148 = 5*c. Let n = f - 255. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 8 = 4*b, -4*f - 5 = b - 13. Suppose b = 2*c + 4*r - 228, -6*c + 105 = -5*c - r. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 134\/6 - 1\/(-1) and ((-128)\/(-180))\/((-47)\/6 + (-53 - -61))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -135*y**2 + 139*y**2 - 2473 + 2418.\nAnswer: 4*y**2 - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 3.40253336817 - -0.276.\nAnswer: 3.67853336817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -18292, -36582, -54872, -73162, -91452, -109742?\n\"Answer: -18290*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-150 - 81 + 154)*(0 + 2*p + 0) to k*p + a and give k.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -2 (c) 0.1 (d) -7\/5 (e) -0.5 (f) 2.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*i - 24 = -21*i. Suppose -151*z + 148*z + j - 9 = 0, -4*z = 2*j + 32. Sort 49, z, i in increasing order.\nAnswer: z, i, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes before 6:26 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -2*b**2 - 4*b + 3. Let a(d) = d**3 - 4*d**2. Let m be a(4). Let r = m + -5. Let s(i) = -i + 1. Calculate r*s(k) + n(k).\nAnswer: -2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 3, a: 4, t: 2, l: 6, z: 2}. Give prob of sequence czcc.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - (44\/10)\/(32\/(-80)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 202*y**3 + 5*y**2 - 16*y + 22. What is the tens digit of s(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 15 - -19. Let x be 6462\/66 - -4 - 1\/(-11). Calculate the greatest common divisor of x and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -2\/87 and 145\/6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(45) + -2*sqrt(405))\/((sqrt(9) + sqrt(576))*-3).\nAnswer: 5*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 852*x = 777*x + 1050 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -18332640 divided by -1160\nAnswer: 15804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 102 or 103?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 3*y**2 + 21*y. Let w(b) = 7*b**2 + 7*b + 6. Let s(d) = -6*d**2 - 7*d - 5. Let v(h) = 6*s(h) + 5*w(h). Let m(x) = -2*c(x) - 7*v(x). Give m(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 5 - (1 + 6\/(-2))*19. Suppose 0 = q*v - 46*v + 18. Solve v = 3*r - r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2743, -10937, -24607, -43765, -68423, -98593, -134287?\nAnswer: -175517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4.9 - -0.1. Let c be (-32)\/(-20)*6\/(-8). Sort -0.1, d, c in decreasing order.\nAnswer: d, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 68*h**5 + h**2 + 222*h.\nAnswer: 1360*h**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 31890 and 3189?\nAnswer: 31890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor s**2\/3 - 76*s\/3 + 73.\nAnswer: (s - 73)*(s - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 656166669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 + 8 = m. Let a(u) = u + 1. Let s(t) = 8*t - 7*t**2 + 1 + 2*t**2 - 2*t. Let y(j) = m*s(j) - 6*a(j). Differentiate y(z) with respect to z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 45a8 (base 14) to base 7.\nAnswer: 50201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 5*g**3 + 7*g**2 + 45*g - 7. Let v(m) = -2*m**3 - 3*m**2 - 22*m + 3. Give -3*q(x) - 7*v(x).\nAnswer: -x**3 + 19*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p be -2*(-4 - (-5)\/2). Suppose 2*b - 4*y - p = -5*y, 2*b - 7 = 3*y. Let n be (3\/(-2))\/(6\/(-32)). Solve 0*v + n = -b*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 46997, 265513, 858631, 2013653, 3917881, 6758617?\n\"Answer: 31217*s**3 - s**2 + 15781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 26301 and 33?\nAnswer: 26301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s be (1\/(-3))\/((-20)\/120). Let j(n) = 35*n + 3. What are the prime factors of j(s)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4.9 or 413\/10?\nAnswer: 413\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(1\/3))**(2\/95)\/(m**(-7\/4)*(m**(2\/15)*m)\/m))**9 assuming m is positive.\nAnswer: m**(5553\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = 53 - 53.2. Suppose 5*n = 8*n - 12. What is the third biggest value in 3, z, n, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 52*g - 164 + 483 - 162 - 163 in the form w + q*g and give q.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/((-9)\/(-936)*39).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/9 of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 78599727 to the power of 1\/3, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = -5*p + 28. Let w = -8 + p. What is the least common multiple of 7 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2377673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/(-30)*10)\/(2\/(-1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes after 8:01 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 12, x: 1, s: 7}. What is prob of picking 2 e, 1 s, and 1 x?\nAnswer: 154\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 1171*l + 7021. Calculate y(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 39*h - 1. Let n be x(0). Let s(o) = -2*o - 3. Give s(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 55*l. Let j(f) = -28*f. Calculate 3*c(w) + 5*j(w).\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p be -20*((-143)\/(-52) - (1 - -1)). Let j be (-549)\/(-15)*p\/(-3). Suppose -2 = -2*h, 2*b = 2*h - 3*h + j. Does 23 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 197 + 22 = 0. Suppose 242 - 233 = c. What is the remainder when s is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -414 = 11*q - 14*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.4 + 0.4. Let b = c - -0.1. Let r = 0.099998 - b. Round r to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 9*k + k - 42 - 6 + k. Let w be q(5). Let c be 5\/2 - 2\/(-4). Solve c = 2*g - w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*f - 6*f - 13*f - 2*f to the form k + z*f and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 188 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 824*p + 3963. Determine s(-5).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -h**2 - 9*h - 13. Let w be v(-7). Let q be (w\/(-9))\/(8\/(-96)). What is c in 0 + q*c + 2\/3*c**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(1600)*-3)\/(-1*sqrt(80) - sqrt(80)*2).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*r**4 - 123*r**3 - 1302*r**2?\nAnswer: 48*r - 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -63\/1436644 and 21\/80201?\nAnswer: 33042812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -169, -226, -269, -292, -289, -254?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2 - -19826b4?\nAnswer: 19826b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve m + 702 - 639 = -8*t + 5*t, m + t = -23 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 132*o**2 + 141*o**2 - 275*o**2 - 245*o**4 - 2*o**3 in the form z*o + k*o**3 + m*o**2 + b + a*o**4 and give a.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:01 PM and 3:04 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/459023 or -1?\nAnswer: 1\/459023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6922 is divided by 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 39678315 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**0*k)**(-42)\/((k**6*k)\/k**(6\/5)))\/((k**(-1)*k**(-3\/2))\/(k**1)**(22\/5)) assuming k is positive.\nAnswer: k**(-409\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 3117, 216, 2.\nAnswer: 2, 216, 3117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 8aef78 (base 16) to base 7\nAnswer: 140251661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*x - 52 = -4*o + 3*x, -16 = -4*x. Suppose -82 - o = -3*k. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, -718, 2, 1 in decreasing order.\nAnswer: 2, 1, 0.5, -718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -499*m + 501 = 51*m - 1149 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -329312 = 13*n - 6712484 - 2099848. Round n to the nearest ten thousand.\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/5)\/(((-2)\/2)\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 45378298 to the nearest integer?\nAnswer: 6736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -69481*m - m**3 + 69481*m.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -10*f + 12*f + 34 - 34. Let q(c) = -104*c. Determine q(p(r)).\nAnswer: -208*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5 and 1709395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/(-4) - 294\/(-728). Let o = -0.7 + 0.7. What is the nearest to o in v, -4, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -v**2 - 11*v - 6. Let c = -35 - -25. Let m be j(c). Suppose 0 = 5*y + n - 31, -m*y + 7*y - 3*n = 15. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 115653753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(-19\/3)\/(m**(-8)\/m)*(m**(-8\/3)\/m)**(21\/2) assuming m is positive.\nAnswer: m**(-215\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the third derivative of -x**6\/1260 + x**5\/84 - 2*x**3 + 5*x**2 - 14. Let r(d) be the first derivative of y(d). Solve r(a) = 0 for a.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(((45\/(-1620))\/(4\/(-54)))\/(-3)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 252 and 5 + 6\/(-3) - (4 - 3).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 101 divide 102473878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:54 PM and 11:21 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify w\/w**(-1\/41)*w\/(w*w**6) assuming w is positive.\nAnswer: w**(-204\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -9*r**3 + 2*r**2 - r - 4. Let k be v(0). Which is the nearest to -4? (a) 5 (b) k (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:17 AM and 4:51 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 143799 is divided by 168.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2461363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - z - 1)*(-11 - 24 + 4)*(2*z**2 - 3*z**2 + 2*z**2) as y + j*z**2 + u*z + r*z**3 and give r.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3441119*o**3 + 361626*o**3 - 2112029*o**3.\nAnswer: -5191522*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2078 + -11282. Let o = 73537\/8 + v. What is the common denominator of o and 7\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = 3*s. Suppose -4*l - l + 5 = s. Suppose 3*a - 32 = l. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.1 - -0.3. Which is the nearest to j? (a) -0.5 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 14 - 10. Solve 4*f - 26 = -5*b, d*b - 7 = -f + 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 25443 + -25376. Which is bigger: w or 56?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 322 + -20302201?\nAnswer: -20301213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let u be (6\/(24\/58))\/(1\/(-2)). Is u < -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 515*z**2 + 7*z - 7. Suppose 4*p = 4*o, p - 4 = 3*o - 6. Is u(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*a - 3*a - 60 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/(-10) - 133\/(-5). Let x(u) = -u**3 + 17*u**2 - 12. Let t be x(17). Let i = o + t. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + b - 5 = 5, 3*b + 15 = 0. Factor m*w**2 + 4*w**3 + 3*w**2 + 0*w**2 - 2*w**2.\nAnswer: 4*w**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 399 minutes before 8:23 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 298961505 to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8037 + 7991. Which is the nearest to -0.1? (a) -2\/3 (b) f (c) 9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.8 and 657?\nAnswer: -1182.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -248154607 divided by 248154607\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2109960137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4039 = 18*u - 317. Let i = 242 - u. Let l(v) be the first derivative of v**2\/2 + 16*v - 3. Give l(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b**2 - 13. What is x(3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 212 (base 7) to base 9\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -10.46 (b) 1\/15 (c) 0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -l**2 - l**2 + 2*l**2 - l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 61 = 2*d + 53 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be -7*((-960)\/(-70) + -10). Which is the second smallest value? (a) -2 (b) l (c) 2 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 25\/84 and -97\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2 + 8cd4b4?\nAnswer: 8cd4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -5 (b) -3 (c) 227 (d) 1\/4 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g = -6*g - 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4139 - 33027\/8. What is the common denominator of ((-390)\/220)\/1 + 2 and t?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = q - 97, -15*y + 10*y = q - 485. Calculate the lowest common multiple of 7 and y.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(3\/5)*(q**(3\/4)*q*q)\/q)\/(q**2\/(q*q**(1\/4)*q*q)) assuming q is positive.\nAnswer: q**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*(-3)\/(-3)*192\/(-128).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide 40970 by -290.\nAnswer: -4097\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -51 + 66. Suppose -f*w + 10*w = -3*s + 225, 4*w + 12 = 0. Let t = s + -8. Calculate the highest common factor of 155 and t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5471519292 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the second derivative of -f**5\/20 - f**4\/2 + 5*f**3\/6 - f**2 + 256*f + 1. Calculate a(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4614 is divided by 307.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6 + -11. Let h be ((-24)\/(-30))\/((-26)\/s). Let r = 6.3 + -6. What is the closest to 0 in r, h, -4\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 606 in 16, -0.8, 536?\nAnswer: 536","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that -3*v**5 - 339*v**4 - 11811*v**3 - 127689*v**2 - 498918*v - 576240 = 0.\nAnswer: -49, -8, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(8\/(2624\/(-12))*(9 - (-175)\/(-21))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*p - 0*p + 45. Suppose 3*d + 5*b = 4*d + 7, 2*d + 5*b = -29. Let w = p + d. Solve -2*c - w*c - 25 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -324\/5? (a) -2\/11 (b) 0.11 (c) 8 (d) -40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2 + -23d4d7?\nAnswer: -23d4d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(x\/(x\/x**(2\/7))))**35 assuming x is positive.\nAnswer: x**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 77463 divided by 9?\nAnswer: 8607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -54 - -103\/2. Suppose 4*h + 0*o - 4*o = 8, -o - 23 = -4*h. Let x be (-2)\/h + 38\/(-14). What is the biggest value in -4, x, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*z + 35*z = 2722029 - 901376. What are the prime factors of z?\nAnswer: 25643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 2*p + 11 = 0. Let q = p + -101. What is the lowest common multiple of -5*(q\/10)\/4 and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/21 (b) -2 (c) -1.9 (d) -0.04 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p - a = 12, -4*p + 3001*a - 3005*a = -32 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 26 (base 12) to base 11\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -g + 4. Let i = -34 - -30. Let t be w(i). Solve -5*l = -t*l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o and 2 v when four letters picked without replacement from {q: 6, o: 2, h: 4, c: 1, v: 1, a: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o**3 + 5*o**2 + 6*o - 2. Let z be k(6). Let a be z\/4 + (-27)\/(-2). Let v be (2 - (2 + -2))\/1. Solve 6 = 2*d + l, v*d = l + a + 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2041 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 830172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/5)\/((-36)\/54*54\/900).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*u - 13*u + 13*u + u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the first derivative of 2*t**3\/3 + 33*t**2\/2 + 21*t + 29. Does 25 divide p(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 796 and 14153.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2 + 2)*(-15)\/12. Let r be 24\/10 - (-2)\/w. Factor 0*t**r - 9*t**4 + 8*t**4 + t**2.\nAnswer: -t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12214 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -5, -13, 16, 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-110)\/33)\/((-1775)\/(-426))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.42 - 0.02. Let j = 2.8 + -2.3. What is the closest to 0.1 in j, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 427471770 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0\/(-2) + (5 - 3). Suppose -2*x = -3*a + v*x - 2, -5*a + 5 = -5*x. Let n = -59 - -87. What is the remainder when n is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 310 and 18?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 224068190?\nAnswer: 2, 5, 71, 315589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1021 - 1032) + 49 + 2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from swwpswzwpwwpx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1745 and 5?\nAnswer: 8725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = 561 + -484. Calculate the remainder when t is divided by 34.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*m - m + 2*m)*(1 - 3 + 0)*(2*m + 2 - 2) as u*m + b*m**2 + i and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c - 25 = 0, 423*j = 428*j + 2*c + 50 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -109 + 111 + (-1 - (3 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -373*q + 84*q = 7225 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**0)**31*(((q\/(q*q**3)*q)\/q)\/q)\/(q**(-2\/11)*q))\/((q*q\/(q*q**(-1)*q))**(-16\/3))**29 assuming q is positive.\nAnswer: q**(4945\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 100.3? (a) -1\/2 (b) 2\/11 (c) -107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 2*q + 9998. Let x(n) = -n + 51. Calculate v(x(c)).\nAnswer: -2*c + 10100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = j**2 - 18*j + 19. Calculate s(13).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 815712 and 15822?\nAnswer: 7341408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*u - 3*u + 32*u)*(2*u - u + 0*u) + (1 - 3 + 0)*(17*u**2 + 20 - 20).\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 = -4*g + 3, -2*b + 5*g - 19 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - r - 2)*(-2 - 2 + 6 + (2 + 2 - 2)*(-2 + 3 + 0) - 2 + 2 - 2 + 5 - 2 - 1 + 1 - 2 - 1).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-169750)\/(-1400))\/((-42)\/(-40) - 1) is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -2083, -2088, -2103, -2134, -2187, -2268?\n\"Answer: -i**3 + i**2 - i - 2082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 407*k - 121601 + 139916 for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1779 a multiple of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 2*b - 4*o, -2 = -5*b + 4*o + 2. Let d(z) = -z**2 + 5*z - 5. Let c be d(b). Which is greater: -1\/11 or c?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-280)\/(-450) - 6\/15*1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -6430838.\nAnswer: 1\/6430838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*p**6 + 773678*p**4 + 3*p**2 - 2131*p - 63 wrt p.\nAnswer: -480*p**3 + 18568272*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) be the third derivative of 197*o**6\/10 - o**5\/20 + o**4\/24 - 187*o**3\/3 - 545*o**2. What is the second derivative of c(l) wrt l?\nAnswer: 14184*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*k - 4*k - 4708 = 0. Suppose 0 = -3*m + 70 + k. List the prime factors of m.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (1\/2)\/((-5)\/4). Let n = 3.4 - -0.6. Let p = -1832 - -1835. Which is the second biggest value? (a) o (b) p (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 346 = 5*d, -d - 17*r = -21*r + 78. Which is smaller: -68 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48218 is divided by 9610?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -8528*d - 119693. Determine t(-14).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -43, 80, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 46 + -22. Let v = 26 - g. Let w = -4 + 1. What is the third smallest value in w, -0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 12011 (base 5) to base 8.\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -82*g - 113*g - 888 = -274*g - 365*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 34 - 21. Let h be -4 + 0 - (-1 - -1). Let z = h + 5. Solve -4*q = s - z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 6 + 22 = 0. Let x be (4*4)\/(2\/11). Calculate the greatest common divisor of o and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 155, 383, -0.2, 0.0455 in descending order.\nAnswer: 383, 155, 0.0455, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 419 minutes before 9:40 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.041849l?\nAnswer: 41.849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 1, -6 in increasing order.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6276, 7469, 8662, 9855, 11048, 12241?\nAnswer: 13434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*d**3*x**3*z + 42*d**3*x**3 + 94*d**3*x**2 - d**3*x*z + 2*d**3 + d*x*z - 5*x**3*z wrt x.\nAnswer: -12*d**3*z + 252*d**3 - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iyhvw. What is prob of sequence vwy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**2 + 29*f + 102. Calculate w(-15).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = z**3 - 6*z**2 + 5*z - 1. Suppose -31 = -2*l - 21. Give q(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -12455, -49815, -112089, -199283, -311403, -448455, -610445?\n\"Answer: -x**3 - 12451*x**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 31541366039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from iccccic.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 56 = b, -4*v + 154 = 4*b - 2*v. What are the prime factors of b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -w**3 + 9*w**2 - 9*w + 2. Suppose -18*a = 5*t - 21*a + 660, -2*t - a - 264 = 0. Let b be (-4)\/(-6)*t\/(-11). Calculate n(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -14*k. Let q(x) = -11*x. Calculate q(d(f)).\nAnswer: 154*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzza when four letters picked without replacement from zzazzazzaazazz.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1818840 or 20007252\/11?\nAnswer: 1818840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 891*o**4 - 2*o**2 + 4*o + 560. Let d(l) = -1782*l**4 + 5*l**2 - 10*l - 1117. Let y(i) = -2*d(i) - 5*k(i). Differentiate y(h) wrt h.\nAnswer: -3564*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 780437815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -10*5\/(-10)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*c**3 + 5*c**2 + 5*c - 5.\nAnswer: -5*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -322223 - 1333032?\nAnswer: -2321321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 14*d + 64. Let m be q(-6). Let s be (0\/3 - 32\/m) + -2. Which is the third biggest value? (a) -30 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1\/4 (b) -4 (c) 0.143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 1993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve q + 7*f = -15, 1426*f = -3*q + 1428*f + 47 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10)\/(-6)*4224\/5632*48\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.318 + -3.318. Put b, 0, 2\/7, -1 in decreasing order.\nAnswer: 2\/7, 0, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -5*g**4 - 1060*g**3 - 73440*g**2 - 1555200*g + 7464960 = 0. Calculate g.\nAnswer: -72, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -1989*j + 1946*j + 3230375. What are the prime factors of j?\nAnswer: 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor i**5\/4 - i**4 + 5*i**3\/4 - i**2\/2.\nAnswer: i**2*(i - 2)*(i - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -16710 by -3342.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -45*p - 39*p + 89*p - 690. Calculate the least common multiple of p and 1104.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.9 in -184, -5, -0.4, 1\/4, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0 times -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -b69a88 (base 12) in base 5?\nAnswer: -1214104124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3516727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/14*61\/((-244)\/(-40))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:06 PM and 11:54 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = -144 - -39. Suppose 0 = 7*b - 8*b + 2*d + 185, 0 = -4*d + 8. Let s = a + b. Is s a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2343 = 15*a - 2613 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-86)\/(-7) - (-4)\/(-14). Suppose 24*j - 17*j = -35. Let n be (-1 - (j + 3)) + (5 - 2). Solve 0 = n*o + m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 80 and 7120?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) be the third derivative of u**5\/15 - 155*u**4\/12 + 2122*u**3\/3 - 520*u**2 - 4. What is the first derivative of g(d) wrt d?\nAnswer: 8*d - 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 2\/45 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 234 = -3*q + q. Let y = 176 - q. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 149*d = 119*d + 240 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -207*m - 4339 - 1184 + 762 = 0 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -3\/4, 10, 23\/5 in ascending order.\nAnswer: -4, -3\/4, 23\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 3.38445 decades?\nAnswer: 0.338445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -3.60643 - -1.730125\nAnswer: -1.876305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = -241\/2 - -769\/6. Let y = 25\/3 - z. Determine l so that 0 - y*l - 2*l**3 - 2*l**2 - 2\/3*l**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 191035248*v**6 - 207506094*v**2.\nAnswer: 22924229760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 12 + -16. What are the prime factors of (16 + j)\/((-4)\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 0 + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 37*f**2 - 6*f - 6. Let d(z) = z**3 - 6*z**2 + 2*z - 7. Let l be d(6). Is o(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/7, -58, -91 in increasing order.\nAnswer: -91, -58, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -29958840 divided by -5\nAnswer: 5991768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in eleven quarters of a day?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8, -6, 6, 34, 84, 162?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 230\/(-69)*(12\/(-10))\/1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*i**2 + 7*i**2 + 31*i**2.\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 2*v - 11 + 115 = 0, 0 = -2*k - 3*v - 68. Let c(b) = b**3 + 19*b**2 - b - 18. Let d be c(-19). List the prime factors of (10 + k\/4)*(d + 66).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 103674193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c + 32 = -4. Suppose -c*l - 21 = -51. Suppose -120 = -2*w + l*j, -48 - 42 = -w - 5*j. List the prime factors of w.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 14*l**2 - 7*l. Let u(f) = -9*f**2 + 5*f. Determine -7*u(h) - 5*v(h).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -69*h**2 - 200*h + 107. Determine r(-6).\nAnswer: -1177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -16\/278967?\nAnswer: -16\/278967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -77689701, -77689694, -77689687?\nAnswer: -77689680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -92*n - 120 = -116*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -5796 less than -5582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 57.69593 kilometers in meters?\nAnswer: 57695.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.0831 + -0.1163. Let x = r + 0.0132. Let i = -1.5 + 1. Which is the biggest value? (a) 2\/3 (b) x (c) -1 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mrxd when four letters picked without replacement from mxarmrxxdrmrxrrr.\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-7)*f**(6\/11)*(f**(4\/5))**(-3\/25) assuming f is positive.\nAnswer: f**(-9007\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -22424*m - 56 + 7413*m + 26 + 30 to g*m + a and give g.\nAnswer: -15011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2954\/(-420) - -6 - (3 - (-17)\/(-6)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 37 - 37 = 0. Suppose -4*o + v*z + 2 = 2*z, -z + 1 = 5*o. Factor o + 4\/11*p**2 - 2\/11*p**3 - 2\/11*p.\nAnswer: -2*p*(p - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the first derivative of 221*v**4 + 13*v**3\/3 - v**2 - 33*v + 2242. What is the third derivative of s(w) wrt w?\nAnswer: 5304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (120\/(-1760))\/(-36*(-3)\/72)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -1 (b) 20 (c) -0.4 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*j**3 + 1707*j**2 - 1707*j**2 + 2 + 2*j - j**3 + j - j + (3*j + j - 3*j)*(2*j**2 + 0*j**2 - 3*j**2).\nAnswer: 3*j**3 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1659, -1747, -1885, -2073, -2311, -2599?\nAnswer: -2937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -346*j + 343*j - 19 = -4*m, -j - m + 3 = 0. What is the third smallest value in 0, -2160, -1\/3, j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 588.6 + -589.6. Which is the smallest value? (a) 0.3 (b) -0.082 (c) o (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/864 and -151\/1848.\nAnswer: 66528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 43, -65, 1, 4 in ascending order.\nAnswer: -65, 1, 4, 7, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0.083 (b) 3 (c) -8 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -235001, -469999, -704997, -939995, -1174993?\n\"Answer: -234998*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 576204304 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the third derivative of d**4\/4 + 4*d**3 - 38*d**2. What is the least common multiple of 24 and k(2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a microsecond in nanoseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -734, 2, -1 in increasing order.\nAnswer: -734, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-18)\/(-30))\/((-12)\/(-8)). Let t be 1 - (-2 + (-5)\/(-3)). What is the closest to p in 0.4, 5, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1489*f - 3289*f = 2206*f + 237456 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 27 + -26. Suppose 0 = -0*l + 2*l - 2. Let j(p) = -p - 1. Let v(k) = -2*k - 1. Give i*j(y) + l*v(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q - 5*p + 15 = 0, 3*q + 6*p - 15 = p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8006 + 241*a + 954*a + 8006.\nAnswer: 1195*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve u + 4*u = 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -92*k + u + 5 = -94*k, 3*u - 5 = 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 8892379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-5)\/d)\/d*d\/(d**(-2\/29)*d)*d**3\/d*d\/(d*d\/d**(-3)) assuming d is positive.\nAnswer: d**(-259\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**2\/4 - 295825*h + 1183301\/4.\nAnswer: -(h - 1)*(h + 1183301)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13494 is divided by 61.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 2, d: 4}. Give prob of picking 3 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -111408.3 to the nearest one hundred.\nAnswer: -111400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -18960 - 5a?\nAnswer: -189ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = -334*n + 337*n - 80953, -5*x = -2*n + 53977. Does 131 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 3*c**2 - 7*c + 7. Let i = -42936 + 42963. Calculate the remainder when z(-6) is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0\/(-1) + 3 + -5 + 7. Suppose 2*a + 3*w = 9, -13 = -5*a - r*w + 7. Suppose -a*u = -u - 2. Put 3, 0, -3, u in increasing order.\nAnswer: -3, 0, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 279 minutes before 4:10 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -63a7b + 3?\nAnswer: -63a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 200 - -121. Suppose -3*c + m = -279, 0 = 3*c - 2*m - n + 42. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.07 - 1. Let o = p - 0.0699999. Round o to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5352456?\nAnswer: 2, 3, 223019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w**3 + 9*w**2 - 4*w - 22. What is j(7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -10666 - -10680. Solve -2*f + 12 = v, f = -5*j - 21 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p, 2 l, and 1 i when four letters picked without replacement from {s: 1, t: 1, p: 2, l: 2, b: 2, i: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y be (5\/4)\/(3\/(-12)). Let r(v) = 4*v + 3*v**2 - 5 - 2*v**2 - 1. Give r(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 5, 82, 12, 4, -5, -2 in descending order.\nAnswer: 82, 12, 5, 4, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 106470 and 16765?\nAnswer: 50999130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 4533114097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -549 or -563?\nAnswer: -563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 4345431\/(-38)*-2 + 1288\/12236 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2483675 or -2483677?\nAnswer: -2483677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be (1\/2)\/((-5)\/60). Let i(q) = -q - 3. Let a be i(o). Suppose -a*s - 2*v = -5*v - 39, -3*v = -2*s + 27. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 * 727\nAnswer: -1454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = 84 + -84. Let v be (12\/(-6))\/(4\/(-3) + z). What is the nearest to -1\/5 in 3, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 206919, 413305, 619689, 826071, 1032451, 1238829?\nAnswer: 1445205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 640 = -12*o. What is the greatest common factor of 144 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h**2. Suppose -37 + 39 = -2*g. Let q(c) = c**2 + c. What is g*q(w) + 3*x(w)?\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2051?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5102*-9*4\/(-72)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (72\/45)\/((-4)\/(-30)). Let a be -13 + (0 - 0 - 0). Let c = a + t. Put c, -3, 1 in decreasing order.\nAnswer: 1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**16\/c)\/(c*(c*c*c\/c**5)\/c)*(c*c*c**(3\/20))\/(c\/c**(-1\/7)) assuming c is positive.\nAnswer: c**(2521\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -43359, -85345, -127331, -169317?\n\"Answer: -41986*x - 1373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 7 + 4)*(3356*x - 4 - 3 - 3378*x)*(-2*x - 5 + 5).\nAnswer: 484*x**2 + 154*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 20 = 2*g - 4*k, 2*k - 10 = 0. Suppose g = 7*a - 350 - 2310. Does 20 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + 36 + 668 + -714 - 18.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2*s**3 + 4*s**3 + 1)*(-8*s - s - 4*s).\nAnswer: -26*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 19*h**2 + 450 + h**2 - 2142 + 91*h - 6*h**2 - 1421 wrt h.\nAnswer: 28*h + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -1\/7, 10\/63, -2\/621, -2 in descending order.\nAnswer: 5, 10\/63, -2\/621, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*t + 48 = 3*k, -61*t = 4*k - 66*t + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out 25511 + 1721.655.\nAnswer: 27232.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(120)\/sqrt(192))\/(sqrt(2) + (sqrt(2) + sqrt(8)\/sqrt(4))*-4) - (1*(2 + sqrt(5)) - ((sqrt(5)*-1 - sqrt(5)) + 1)**2).\nAnswer: -141*sqrt(5)\/28 + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 989 - -26885. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.01 - -5.01. Let q = -6 + 6.3. Put -3, q, d in increasing order.\nAnswer: -3, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -14 + 28. Let m = i - 14. Suppose m*x + x = 16. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = -122 + 140. Let y(t) = 3*t + 6*t + c*t. Let m(g) = 5*g + 11. Let q(a) = a + 2. Let p(f) = 4*m(f) - 22*q(f). Determine y(p(w)).\nAnswer: -36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 21053, 4 in descending order.\nAnswer: 21053, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4.056 + 0.056. Let j = -0.13 - 5.87. Let t = v - j. Put t, -1\/4, 0.2 in increasing order.\nAnswer: -1\/4, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (120\/(-84))\/((-3)\/105). Suppose -o*s = -40*s - 60. Solve 0 = 4*y + s + 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l and 1 n when three letters picked without replacement from hnqnthnnhnll?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = 51662\/5 - 10332. Let d = 0.83 - 0.03. Is x > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -z**2 + 17*z. Let r(v) = 5*v**2 - 68*v. Calculate 18*l(u) + 4*r(u).\nAnswer: 2*u**2 + 34*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 12289082 to the power of 1\/2, to the nearest integer?\nAnswer: 3506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:22 PM and 4:53 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 4331 + 584 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/5 in 5, 5\/64, 0?\nAnswer: 5\/64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 7*r**2 - 10 + 11 - 7 + 7*r. Let l(k) = -3*k**2 - 5 + 4*k**2 + 5*k**2 + 6*k. Suppose 19*w + 276 - 200 = 0. Determine w*j(z) + 5*l(z).\nAnswer: 2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 5*y - 42. Give b(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from haohohvvhvohivaho. Give prob of picking 1 i and 1 a.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*t = 3*t - 44. Let q = 242\/5 + -716\/15. Which is the third biggest value? (a) -3\/5 (b) q (c) -4 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -9*u**3 + u**2 + u. Suppose 2*a + 9 - 7 = 0. Calculate s(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-292)\/(-1168))\/(-3*3\/108).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -500 - -287?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 106 = -374. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 194 - 194. Solve 0*j - 5*j + 10 = s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1841 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1478 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 271 + -119. Let b = z + -151.99999816. What is b rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(350)\/sqrt(7).\nAnswer: -1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 196126857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fgfgbqqqqfgqrbgqqqqf. Give prob of sequence rqfb.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -124249*f + 62065*f + 62100*f = -11004 for f.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -5*n**2 + 5*n + 744. Let q(y) = 4*y**2 - 4*y - 743. What is 4*q(b) + 3*v(b)?\nAnswer: b**2 - b - 740","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 394492975 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the third derivative of -39\/25*x**5 - 91*x**2 + 29\/15*x**4 + 0 + 0*x + 0*x**3 - 2\/525*x**7 + 2\/5*x**6. Find z such that j(z) = 0.\nAnswer: 0, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*x - 36*x + 0*x = -24 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(2) + 1 + sqrt(2)) - (sqrt(2) + sqrt(2) + sqrt(16)\/(sqrt(40)\/sqrt(5)))) + (sqrt(2) - (1*sqrt(242))**2 - (sqrt(2) - -2*(sqrt(50))**2)).\nAnswer: -337 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 615 and -1.\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.2 and 2.9?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 4 = 8, 3*y + 2*t = 1528. Suppose 5*n = -0*n + y. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.02 - -0.78. Let c = r - 0.5. Let b = -5.09 - -0.09. Sort b, 3, c in descending order.\nAnswer: 3, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 584509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-121590)\/227997 + 6\/11)\/(68\/(-238)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-29176)\/(-9378)*9*4\/(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -27*r**2 - r**3 + 19*r**2 - 3*r - 5 + 11*r. Let u be o(-9). What is the biggest value in u, 1\/3, 2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2856 is divided by 592?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 3*g. Let f(k) be the third derivative of 457*k**5\/60 - 493*k**2. What is d(f(j))?\nAnswer: 1371*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2850 or -370?\nAnswer: -2850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 21097*o - 21104*o + 1232. Solve -6*g + 158 = o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:40 PM and 3:43 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = 5*u - 21, 0 = 4*u - 0*z - 2*z + 4. Suppose -2*i + 6 = -2*d, -11 = -2*d - 5*i + 11. What is the tens digit of (-8 + u)*(-2)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1.19605 millilitres to litres.\nAnswer: 0.00119605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1561 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -9*70.6\nAnswer: -635.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1008 is divided by 996?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 25274433259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 4*f**3 + 232*f**2 - 11 - 232*f**2 as j*f + m*f**3 + y + i*f**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*m**2\/3 - 347800*m - 1043398\/3.\nAnswer: -2*(m + 1)*(m + 521699)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 6*w**3 + 187*w**2 + 19*w - 116. Determine a(-31).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ggggniggg. Give prob of picking 1 i, 1 n, and 2 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Add 0.42 and -8312104.\nAnswer: -8312103.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = -9.63 - -1.03. Let x = 92.4 - h. Let l = x - 101.0139. What is l rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 0 + 3)*(6 + 31*b + 37*b - 67*b + b**2).\nAnswer: -2*b**2 - 2*b - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3cae92 (base 15) in base 5?\nAnswer: 1222011122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b + 185 = -5*v, 101*b = -5*v + 105*b - 153 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 163\/2280 and -68\/135.\nAnswer: 20520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/249522 and -121\/166348.\nAnswer: 499044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 10800988?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 161882722?\nAnswer: 2, 80941361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/7, -4\/5, -2\/77 in descending order.\nAnswer: 3\/7, -2\/77, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from aeaaea.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Are -207588 and -207585 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 15549660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -116*m**2*s**4 - 20*m**2*s**3 - 26*m**2*s**2 - 102*m**2 + 2*m*s**3 wrt s?\nAnswer: -2784*m**2*s - 120*m**2 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1820 and 2905?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wm when two letters picked without replacement from wmwwwwww?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*f + 3 - 28. Suppose -i - f*z = -3*z - 117, 3*i + 4*z - 343 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hjswe. What is prob of picking 1 h and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aaqakaqqqaaqqkxaaqa. What is prob of sequence qqq?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((-116)\/(-174))\/(2380\/(-255))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -g**2 + 8*g - 5. Let n be b(7). Let y be 15\/((-1)\/n*-3). Let z = y + -4. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 45\/20536 and -31\/2114?\nAnswer: 143752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {m: 15, r: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 720.4513 centimeters in nanometers?\nAnswer: 7204513000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 49\/5 of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1005825 or -1006526?\nAnswer: -1005825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -166, -785, -1816, -3259, -5114, -7381, -10060?\n\"Answer: -206*p**2 - p + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1, 2\/3, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 697.2916g?\nAnswer: 697291600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -1985 divided by 397\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (3*(-2 + sqrt(180) + sqrt(180)))**2.\nAnswer: -432*sqrt(5) + 6513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1262 + 85?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 + 9. Suppose 0 = -i*b + 5 + 5. Let j(t) = -t**3 + t - 5*t**2 + 7 + 6*t**2 - 9. Determine j(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1.468 + 0.102. Let a = u + 12.03. Round a to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 1\/20 of a millisecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -39\/2350570 and -89\/18.\nAnswer: 21155130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = p**3 + 6*p**2 - 6*p + 7. Let r be q(-7). Suppose r = -4*i - i + 25. What is the second derivative of 12*k + 0*k**4 - i*k**4 + 3*k**4 - 9*k wrt k?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 24960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2.27 and -0.4?\nAnswer: 0.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 2\/17 (b) 3265 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(22)\/(sqrt(242)*2).\nAnswer: sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -8199 > -3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-15)*9)\/((-21)\/105).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 4*t**2 - 37*t + 3. Let u(b) = -17*b**2 + 147*b - 13. Determine -9*f(d) - 2*u(d).\nAnswer: -2*d**2 + 39*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 12 = -0*s - v, 5*s + 5*v = 0. Suppose -2 = -q + 2. Let k be q*(10\/4 + -2). Which is bigger: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u*u**(-2)*u*u))**(4\/11)\/(u**40\/(u\/(u*u*u**26*u*u))) assuming u is positive.\nAnswer: u**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Are 13 and -480.46673 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 867548 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the third derivative of -3*m**4\/8 + 2*m**2 - 388*m. Let n(z) = -47*z + 2. Determine x(n(a)).\nAnswer: 423*a - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 8*n + 97. Let i be j(-4). Find the common denominator of ((-182)\/i + 3)*890\/(-96) and 41\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -156290*2.\nAnswer: -312580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 20172 by 82.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 444 minutes before 7:18 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -u**2 - 9*u**2 + 8*u**2 + 2*u**3 - 58*u - 9*u to r*u**3 + v*u + t*u**2 + p and give v.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -23 + 2768?\nAnswer: 2745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -5*s + 15. Let y be h(3). Suppose y = 7*r + 21 - 231. Let t = -245 + 455. What is the greatest common factor of t and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-355))\/((-96)\/(-240))?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = 5*u + 6 + 165, -15*u + 228 = -4*t. Is t bigger than -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 53 a factor of 6665238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.01068 and -0.26?\nAnswer: 0.24932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 96\/5 + 24*f**3 + 256\/5*f + 256\/5*f**2 + 2\/5*f**5 + 26\/5*f**4.\nAnswer: 2*(f + 1)*(f + 2)**3*(f + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2241 + 2271. Calculate the remainder when 148 is divided by f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 67\/2 and 31\/309244.\nAnswer: 309244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the third derivative of -l**5\/60 - 7*l**4\/24 - l**3\/6 - 3*l**2. Let b be o(-6). Let q = -4 + b. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16568 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a\/a**(-3)))\/a*a)**35\/(a**(-2\/27)\/((a*a\/(a\/a**(-7\/4)))\/a)) assuming a is positive.\nAnswer: a**(-11521\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -p**3 + 2*p**2 + 2*p + 608. Let w be a(0). Calculate the highest common divisor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (49*f + 30*f - 44*f)*(0 + 4 - 2) - 2*f + 5*f - 4*f.\nAnswer: 69*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 13*u**2 + 193*u + 139. Calculate l(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w and 1 h when three letters picked without replacement from hwhhdhddpwhwd?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 3 = -3*p - 83, 4*p + 84 = 4*q. Suppose -1936402 + 4610332 = 3210*a. Calculate the highest common factor of a and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -51*w + 52 = 142 - 651 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2.7 - -3. Let k = 0 + r. Let w = 0 + -0.1. Which is the nearest to w? (a) -0.2 (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -55, -56, -57, -58, -59, -60?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 23 = -5*p + h, -h = 5*p - 49. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2332 + 68*k**2 - 581 - 581 - 588 - 582.\nAnswer: 68*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 4*o = -20, 2*o = -0*o + 2. Suppose -p*n - 2 = -34. What is h in -4\/9*h**3 + 2\/9*h**5 + 16\/9*h**2 - 4\/9*h**n - 14\/9*h + 4\/9 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -3*x**3 + 23*x**2 + 6*x + 27. Let v be u(8). Suppose 88 = -v*c + 88. Solve 5*b - 2*z + c*z + 17 = 0, -3*b - 12 = -3*z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*y + 7020 = y. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -63640, -127258, -190860, -254440, -317992?\n\"Answer: o**3 + 2*o**2 - 63631*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 3*k - t = -13, 3*t = -3*k + 12. Solve j = 2*w + k, 3*w + j = -0*j - 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/(-2) + (-40)\/(-16). Suppose f - 4*o = 3, 4*f - 7*o - 24 = -d*o. Let a = -2 - -3. Solve -2*h - a = f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1010111100001 (base 2) to base 9.\nAnswer: -7613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 40144 is divided by 20062.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 18 + -14. Suppose -l + 6 = a*h, 5*l = 5*h + 86 - 6. Calculate the remainder when -2*5\/((-40)\/156) is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i = u + 14, 4*u + 108107*i - 108112*i - 7 = -0*u - 21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -40*r + 4 = t - 44*r, 2*t = 5*r + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2370 + 18963\/8. What is the closest to -6 in 0.4, -1\/3, -2\/11, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:23 AM and 4:04 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = -83 - -85. Is b\/(-4) + (-6902280)\/(-112) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + (2 - (4 - 1) - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3972 + -1738?\nAnswer: -54aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6 in 6\/11, 0.4, -20?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (116\/(-232))\/(2\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 2*q = 6, -u = 2*u - 4*q + 2. Suppose -3*h + 15 = u*o - 6, 4*o = -4*h + 24. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find j such that 27*j**4 - 51897474*j**3 + 24938474822283*j**2 - 66502322739816*j + 44334820318512 = 0.\nAnswer: 4\/3, 961063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/(-9)*2\/2. Suppose 2*d - 3*n = 16 - 0, 0 = d - n - 7. Which is the second biggest value? (a) w (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -350 + 3626 = 7*z. Let t = 19 + z. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -55 + 199. Suppose 0 = -3*l - 0*l + h. Let w = 50 - l. Put -2, -4, w in descending order.\nAnswer: w, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -5, 0.01, -2, -3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -104357\/10 + 10426. What is the common denominator of p and 39\/34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ibttbtxiqib. What is prob of picking 2 q, 1 i, and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-187)\/(-66) - 2 - (-1)\/(18\/412707)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(16)\/(sqrt(72)*2).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = r**3 - 9*r**2 - 6*r - 40. Suppose 2*u - 28 = -2*d, 30 = -6*d + 9*d - 3*u. What is the tens digit of q(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = u**2 - 3*u + 2. Let s = 3 + 0. Let x be n(s). Let d(h) = 0*h**2 + 0*h**x + h**2. Determine d(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1974799 milliseconds to seconds.\nAnswer: 0.0001974799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gzjpjgccpcgpcjckcc. Give prob of picking 2 j.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -46*d - 137*d - 108*d.\nAnswer: -291*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 3*h - 501 = 164, -4*u - 4*h = 564. Let j = u - -196. Does 30 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -97*q - 1947. Calculate l(-27).\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (8\/(-20) - -1) + 2\/(-2). Let o = -7 - -2. Which is the closest to -1\/3? (a) i (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 771162.\nAnswer: 2, 3, 7, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 254 minutes before 4:10 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 5*m = -23, 6*x - 24 = 2*x + 3*m. Suppose x*j + i - 4 = 0, -2*j + 2 = -5*i + 22. Solve -g = -j*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes after 6:40 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from {l: 4, w: 5, c: 1, u: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 9 + (-28 - (-9 + -12 + 5 - -8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-3 + ((sqrt(76) + 0)*-5)**2).\nAnswer: -7588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-612)\/(-27) - -4*(-5 + 9)) + (-6)\/(-18)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -382635*a**2 - 4638150*a?\nAnswer: -765270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 467 minutes before 8:03 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*n - 2*n + 2*l - 88784, n - 4*l - 44367 = 0. What is the ten thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the third derivative of -d**7\/30 + 7*d**4\/24 - 6*d**2. What is the second derivative of l(o) wrt o?\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aooa when four letters picked without replacement from {a: 2, r: 1, o: 11, q: 3, n: 2}?\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*v - 23*v + 400 = 0. Solve v*k - 340 + 300 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 16*f**3 + f**2 - 4*f - 5. Let q be r(4). Let x = q + -287. What are the prime factors of x?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1286466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence er when two letters picked without replacement from jgrjqgqe.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43512 is divided by 85?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 6 in 6, 4, 193?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -t**2 - 16*t - 6. Let b be s(-15). Let x(d) = -19*d + d + d + b + 9*d. What is x(6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6787109157.\nAnswer: 3, 2262369719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*t - 14 = 6*t. Suppose 8*r = 25 + 7. Put -5, t, r, -2 in ascending order.\nAnswer: -5, -2, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4\/(-28) + (-1725)\/(-21). Let s(p) = -3*p. Let y be s(-1). Suppose y*b - 14 - z = 0. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n + 3*g = 14, -26*g + 23*g = 5*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 129176460?\nAnswer: 2, 3, 5, 7, 157, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k and 1 m when three letters picked without replacement from {z: 1, k: 6, t: 2, m: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -11548*n*w**2*y**2 - 2*n*w**2*y + n*w**2 + 3*n*w*y - 8*o**3*w*y**2 - 8*o**3 - 2*o**2*w*y + 121*w**2 wrt y?\nAnswer: -23096*n*w**2 - 16*o**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -11431*i - 25153 = -11158*i - 7681 for i.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -23*s**3 + 94*s**3 + 1 - 68*s + 92*s as z*s**2 + g*s**3 + t + m*s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -15 (b) -2\/3 (c) -3\/4 (d) -5\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 78144.82 litres in millilitres?\nAnswer: 78144820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/6*12\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n**3 + 7*n**2 - 5*n - 6. Let s = -15 - -21. Let x be k(s). Suppose 0 = -x*o - 4*o + 140. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-86)\/52)\/((-20339)\/946).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 137 + 410 = -230*u - 833. Sort u, 0, 6, 5 in ascending order.\nAnswer: u, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) be the third derivative of a**4\/24 + 2*a**3 - 2*a**2. Let g be i(-9). Let m(d) = d**2 + 3*d - 1. What is the units digit of m(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 6 = 26. Let r be b\/(-18) - 9673\/(-9). Suppose 4*q + q = r. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:49 AM and 8:14 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = -104087\/77 - -14879\/11. Factor -12*r + 144\/7 + n*r**3 - 66\/7*r**2.\nAnswer: 6*(r - 12)*(r - 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 715 minutes before 1:07 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -2*k**2 + k**2 + 2*k**2. Let c(l) be the second derivative of 0*l**2 - 1\/6*l**4 + 0 + 2*l + 0*l**3. Calculate y(c(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4.675 and 5557?\nAnswer: 25978.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -1098041504 + 0.0414?\nAnswer: -1098041503.9586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 5, y: 8, r: 7}. What is prob of picking 1 y and 1 r?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9626 - -0.065773.\nAnswer: -9625.934227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ooqklou. Give prob of sequence olq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -296*g**4 + 879*g**3 - 2092699?\nAnswer: -1184*g**3 + 2637*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -21*z - 252. Let w(r) = -3*r - 37. Let y(l) = -4*i(l) + 27*w(l). Let b be y(-3). Factor -4\/11*k**2 + b + 0*k + 0*k**4 + 6\/11*k**3 - 2\/11*k**5.\nAnswer: -2*k**2*(k - 1)**2*(k + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -833963, -1667920, -2501877, -3335834?\nAnswer: -4169791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2\/12)\/(1\/94). Let q = 16 - a. Find g, given that q*g - 1\/3*g**2 + 2\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n**2 - 6*n + 2. Let l be g(6). Let p(v) = 0 + 5 - v + l. Let r be p(-3). What is the highest common divisor of 20 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6503120 and 2479.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 5, -2, 0.2, 92, 606?\nAnswer: 606","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) be the first derivative of g**6\/2 + 4*g**5\/5 - g**4\/2 - 4*g**3\/3 - g**2\/2 + 8. Factor t(n).\nAnswer: n*(n - 1)*(n + 1)**2*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 14*u - 17. Let l(d) = -7*d + 8. Determine 2*j(t) + 5*l(t).\nAnswer: -7*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**3 - 62*l**2 + 196*l + 155. Let c be d(-65). Let a(o) = -o**3 + 10*o**2 + 12*o - 1. Let m be a(11). What is the highest common divisor of m and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -747, -753, -749, -729, -687, -617, -513, -369?\n\"Answer: a**3 - a**2 - 10*a - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**3\/6 + 143*q**2\/6 + 78613*q.\nAnswer: -q*(q - 762)*(q + 619)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = 915.37 - 922. Let z = -6.13 - x. Sort -3, z, -1, 20 in increasing order.\nAnswer: -3, -1, z, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-15458*j + 84*j**3 + 15458*j)*(0*j**2 + 20 - 19 - 4*j**2).\nAnswer: -336*j**5 + 84*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -441, -3368, -11459, -27342, -53645, -92996?\nAnswer: -148023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be (2\/6)\/((-2)\/(-30)). Let p = -423 + 428. Is p at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*h**3 - 7*h**3 - 6*h**3 + (-3*h**2 + 2*h**2 - 2*h**2)*(16*h + 0 - 12*h + 2).\nAnswer: -25*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = -846.1 + 846. What is the second biggest value in -18.9, g, 11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 8786991 and 27?\nAnswer: 79082919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9 + 1 + 1)*(7*k**2 - 2*k**2 - 15*k**2).\nAnswer: 70*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes before 3:20 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q + 1. Let n(a) = -3*a + 3. Give 5*m(b) - 2*n(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = -4*a + 50. Let y(l) = -2*l**3 + 25*l**2 - 13*l + 11. Is y(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 6*r**3 - r**2. Let y be x(1). Suppose l = 5*b - 25, 6*l = 2*l - b + y. Solve l = 5*z - 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-15)\/((-45225)\/6330) - 2 and -91\/30.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2133 + -1412. Let o = r - 452. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*s = -37*s - 4 - 149 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2091 is divided by 1065.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -3*b + 57. Let f be q(14). What is the second derivative of -8*p**3 - 2*p**3 - f*p + p**3 wrt p?\nAnswer: -54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 39 + 23\/((-391)\/476)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.12549 less than -0.2?\nAnswer: -0.32549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -q - 44. Let y = 20 - 82. Let a = q - y. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 48*k**3*o**3 - 6*k**3*o**2 + 6*k**3*o - 64670*k*o**3 - 66*k*o**2 - 14*k*o wrt o?\nAnswer: 288*k**3 - 388020*k","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-22)\/o**(-3\/5))\/((o\/(o\/(((o\/o**(-2\/71))\/o)\/o)))\/(o\/o**(-2\/3))) assuming o is positive.\nAnswer: o**(-19981\/1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (35*g**2 - 15*g**2 - 70*g**2)*(0 + 0 - 2*g - 1).\nAnswer: 100*g**3 + 50*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7 + -3. Let g be i\/(-18) + (-220)\/(-18). Let o be 1*(-4)\/(g\/(-135)). Calculate the greatest common divisor of o and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 4*w - 8*w. Calculate the smallest common multiple of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3016389 and 622?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c be -3*(-77)\/33*160\/14. Let f = c - 169\/2. What is the nearest to f in -4, 1\/3, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let b = 0 - -10. Let q = b + -6. Suppose -67*j = -30*j - 222. What is the remainder when j is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(612)*-1 + sqrt(612))*4)**2 + (sqrt(17) + sqrt(153))**2 + 4 + (sqrt(17) + 1*sqrt(17) + 3)**2.\nAnswer: 12*sqrt(17) + 353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 2*g + 650 = 0, 3*k - 572 + 87 = -g. Let f = k + -69. What are the prime factors of f?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the second derivative of a**3\/3 - 18*a. Let n(k) = -26*k. Determine n(w(q)).\nAnswer: -52*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = -31 - -26. Let n = i - 46. Which is bigger: n or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 794500 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 23513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 16 + (-14)\/((-308)\/110)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(500))**2 + sqrt(500) + -2 - (sqrt(20) + 5)*-3.\nAnswer: 36*sqrt(5) + 514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -41, 2078 in decreasing order.\nAnswer: 2078, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = -0*s + 3*s - 35, 5 = -s - 2*j. Do s and 13\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -4*v - 2. Let q be k(-1). Solve q = x + c, -8*c + 3*c = 3*x - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24*g**2 - 9728 + 9728.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(7488) - (sqrt(7488)*1 - sqrt(7488) - sqrt(7488))*3 - (sqrt(7488) - sqrt(7488)*-2*4))\/(3*sqrt(100) + 6*(-1*sqrt(4) - sqrt(4))).\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (9 - (14 + -8 - 0)) + 9\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8 + -6. What is the units digit of 14 - j - (-6 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -36*r**2 + 21. Let v(f) = -7*f**2 + 4. Let i(h) = -4*c(h) + 21*v(h). Let n(g) = g**2. Determine n(i(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 1, y: 1, c: 5, g: 5, e: 5}. Give prob of sequence ce.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 10*x**3 - 4*x**2 - 7*x + 27. Let w(o) = 3*o**3 - o**2 - 2*o + 9. Give 2*k(i) - 7*w(i).\nAnswer: -i**3 - i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.5 (b) 3 (c) -108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) 0.4 (c) 23\/3 (d) 2 (e) -23 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(187) + sqrt(187)*1 + sqrt(187))\/sqrt(11) + 2*(-2 + sqrt(17)) + 2)*6)**2.\nAnswer: -720*sqrt(17) + 15444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -654*f + 56*f**2 + 39*f**2 + 49*f**2 - 153*f**2 - 15*f.\nAnswer: -9*f**2 - 669*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*i - 8*i = 0. Solve -v + i*w = w - 4, 2*v + 3*w = 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3 - -4. Let u(n) = 4*n**2 - 3*n**2 - n**3 - 2*n + 1 + 5*n**3. What are the prime factors of u(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-21)\/7*30\/5*1\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4 - (0 - 0))*1. List the prime factors of w\/(-1) - -5 - -571.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = g - 0*g + 1. Let w(k) = -k**2 + k. Let d(l) = 3*l**2 + 5*l + 5. Let u(q) = g*w(q) + d(q). What is the units digit of u(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - -37 - 0) + -441 + 437 - 8?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000803106 rounded to six decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 194, 1558, 5264, 12482, 24382, 42134?\nAnswer: 66908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i**2 - 4*i - 5. Let r(v) = -5*v**2 + 16*v + 20. Let b(s) = 9*p(s) + 2*r(s). Give b(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:29 PM and 10:05 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25980043.\nAnswer: 73, 355891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**3 + c**2 + c - 2. Let s be f(0). Let i be (s\/2)\/((-6)\/(-9)). Sort i, 3, -1\/5 in decreasing order.\nAnswer: 3, -1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -10358722\/65 + 159372. Let o = -36\/5 + z. Let x = o - -19\/39. What is the biggest value in -6\/11, 0, x, -2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 15 = 2*v. Suppose -v*w + 11 = -29. Let a = 23 - w. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -294 + 298. Suppose -s = 5*y - 10596, -17*s + 20*s = z*y - 8492. Round y to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3262 divided by 2.\nAnswer: -1631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12*((-2)\/(-3))\/(-53*9\/(-2862)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 134 - 30?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1.99208 rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 2 = 22. Let s(n) = 48*n**2 + 2*n - 1. Let a be s(1). Suppose 0 = 3*y - 11 - a. What is the lowest common multiple of y and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2858*i**3*z + 3*i**3 + 2*z - 4889 with respect to i.\nAnswer: 8574*i**2*z + 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 29034*v + 87081. Determine l(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**2 + 6*f. Let k be s(5). Suppose 6 = -2*m + k*m. Suppose -m*v = -7*v + 35. Calculate the least common multiple of 8 and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1547? (a) 0.6313 (b) -5\/7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 242231*k - 1675949?\nAnswer: 242231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -44850 + -35051?\nAnswer: -81011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -23\/12 - -5\/3. Let t be 3\/(-2)*4\/30. Which is the smallest value? (a) i (b) 0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1010100100010 (base 2) to base 16.\nAnswer: -1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u**3 - u**2 - 27*u + 114. Determine h(4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 2, o: 6}. What is prob of sequence oeoo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*a - 5*b + 141, 4*b - 78 = -3*a + a. Suppose 0 = -4*l + o + 31, -4*l - o + a = -12. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2941 - -3278. Is k < 343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27095036 is divided by 1024?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, -0.0146512, -4\/7 in decreasing order.\nAnswer: -0.0146512, -0.2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the first derivative of x**2 - 7*x - 41. Let p be g(11). Calculate the greatest common factor of p and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2036608*k**2 + 8829*k**3 + 2036608*k**2)*(-3 + 2*k + 3).\nAnswer: 17658*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 24990388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8436 is divided by 2805.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*w - 6544 = -6502. Let p(g) = -6*g**2 + 7*g - 8. Let m(j) = -7*j**2 + 8*j - 9. Give w*p(d) + 5*m(d).\nAnswer: d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -2*u. Suppose v = -2*v + 45. Suppose -5*h - 4*y + 5*y - 50 = 0, 0 = 3*y - v. Let z be (-2)\/(-6) - 24\/h. What is j(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = -3*w + w, -2*o + 4*w + 24 = 0. Suppose -3*g + 5*a - 5 = -7*g, 0 = -g - o*a - 7. Solve 15 = -5*v - g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 384 and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 37 - 33. Suppose -4*h + 2*u + 32 = 0, -4*h - 5*u + 20 = 16. Calculate the highest common divisor of r and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-32)\/28)\/(3*8\/84)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -6*o**2 + 3. Let i = -57 + 100. Let q(m) = -i + 23 + 20 + 3*m. What is q(a(h))?\nAnswer: -18*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 6 = -3. Suppose 4*q - n = 1. Solve 4*b + 3 = 2*v + q, -b = 5*v + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16322871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -1 (b) 1\/3 (c) -23 (d) 5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Do -4\/933 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*l + l + 4 - 2.\nAnswer: 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the first derivative of t**6\/10 + 9*t**5\/20 + 3*t**4\/4 + t**3\/2 - 9*t - 6. Let l(m) be the first derivative of h(m). Factor l(g).\nAnswer: 3*g*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 49119?\nAnswer: 3, 7, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1932 = -120*t + 113*t. What is the hundreds digit of (t\/10)\/(39\/455)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 23 = 43. Suppose 0 = -f*y - 3*n + 6576, 5*y + n - 1643 = 4*y. Suppose -3*w + y = 6*w. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -45\/18404 and -16.\nAnswer: 18404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-3)\/6 - 1)*-2. Let p be (2\/u)\/(2\/(-3)). Let v(z) = -30*z. Let s be v(p). What is the greatest common divisor of s and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 33958494 divided by 9\nAnswer: 3773166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ffm when three letters picked without replacement from fmfffajfm?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tbt when three letters picked without replacement from bbbbtbbbbbtb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v be 11979\/(-24) - 3\/(-24). Suppose 2*r - 11 - 14 = 5*g, 0 = 5*g + 4*r - 5. List the prime factors of v\/(-4) - (g + (-44)\/(-16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -1198, -1199, -1200, -1201, -1202?\n\"Answer: -s - 1197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, s: 2, x: 2}. What is prob of picking 2 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 372 = -2*h + 36, -5*h + 5*m + 1040 = 0. List the prime factors of h.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -694*g**3 + 7*g - 1589. Let z(o) = 348*o**3 - 4*o + 795. Let f(s) = -8*t(s) - 14*z(s). What is the first derivative of f(d) wrt d?\nAnswer: 2040*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 55750 is divided by 55743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3000*m + 26874 = 3006*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 + 28. Let q = r + -22. Calculate the greatest common factor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes after 2:51 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 246255, 254603, 262951, 271299, 279647?\nAnswer: 287995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes before 6:12 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -0.560364 * -1\nAnswer: 0.560364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -2019209*y**2. Let t(r) = -120*r. Give t(i(w)).\nAnswer: 242305080*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the second derivative of 0 + 3\/2*k**2 - k**3 - 1\/12*k**4 - 2*k. List the prime factors of h(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -160 + 360 - 157 - j to the form h*j + r and give r.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3970?\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 45871803?\nAnswer: 3, 5096867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Let h = -346.8537 + 346.7. Let i = -0.6333 + h. What is i rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 281*f + 234*f + 635*f - 204*f + 577*f as w + p*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = o + 22. Let d be r(0). What is the highest common factor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = 7*l + 23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-630)\/81 - 2\/9. Let z = 3 + i. Let f(k) = -2*k**3 - 2*k**2 - 2*k - 1. Let l be f(-1). Put z, l, -3 in ascending order.\nAnswer: z, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 160 and 2800?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -12670*z + 63413. Calculate f(5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 22668760057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 556 + -557. Let s(z) be the second derivative of -5*z**4\/4 + z**3\/3 + z**2 - z. Let b be s(g). Which is smaller: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 + 0 - r**4 + (-1 + 2 + 2)*(39*r - 39*r + 3*r**4) to the form d*r + l*r**3 + q + m*r**4 + u*r**2 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 45849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - 21 - (65 + -106 + 18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 73778*i**3 + 154*i + 41?\nAnswer: 442668*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 25*v**3 - 448*v + 902*v - 7*v**2 + 0*v**2 + 4 - 441*v. Let h(u) = 12*u**3 - 3*u**2 + 6*u + 2. What is 6*c(l) - 13*h(l)?\nAnswer: -6*l**3 - 3*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**2. Let j(r) = 31*r**2 - 2*r. Give o(j(w)).\nAnswer: 961*w**4 - 124*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 37160 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 6 - (-2 - 41 - (-12 - (44 + -51)))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 233283*o + 187868?\nAnswer: 233283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 143098?\nAnswer: 2, 71549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -14159128, -14159119, -14159110?\n\"Answer: 9*i - 14159137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*k**2 - 4020*k + 575 = 0. Calculate k.\nAnswer: -115, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggklhlbkgg. What is prob of picking 1 h and 1 b?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1415766 - -1415847.5827. Let w = s - 81.6. What is w rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6\/(-5)*1680\/1260. Sort a, 0.17, -3\/2.\nAnswer: a, -3\/2, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 362*z**3 - 166*z**3 - 195*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = -31.568568 + -0.029192. Let g = -52.59749 - v. Let z = g - -21. What is z rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 4*f = 44, 5*q = -0*q - 2*f - 52. Let v = q + 58. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*d**3 - 3*d**2 - 18*d.\nAnswer: 3*d*(d - 3)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5606*q**5 - 233*q**4 - q**2 - 4813043*q + 1 wrt q.\nAnswer: -336360*q**2 - 5592*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -16417*o**5 - o**2 + 1900 wrt o.\nAnswer: -985020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 114*r + 248 = 145*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 10*a**2 - 86*a + 571. Let x(v) = -7*v**2 + 86*v - 565. Let r(h) = -2*s(h) - 3*x(h). Factor r(p).\nAnswer: (p - 79)*(p - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express n**3 - 34383*n - 2 - 3*n**3 + 5 + 2*n**2 + 34384*n in the form u*n**2 + v*n + i + c*n**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that 16*i**5 + 424*i**4 - 1620*i**3 + 1774*i**2 - 776*i + 120 = 0.\nAnswer: -30, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a**2 + a - a)*(-a - 2*a + 4*a) + (1 + 5 - 5)*(9 - 7*a - 9)*(-2*a**2 + 3*a**2 - 2*a**2).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 389 = 2*y - 513, -v + 5*y + 175 = 0. Calculate the greatest common divisor of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + sqrt(25)\/sqrt(5)*2 + sqrt(100)\/sqrt(5) - ((2*sqrt(5)*2 + sqrt(5))*5 + (1 + sqrt(20))**2 + -4).\nAnswer: -25*sqrt(5) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1106990, 1106986, 1106980, 1106972, 1106962?\n\"Answer: -f**2 - f + 1106992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 395004, 789998, 1184992?\n\"Answer: 394994*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (70 - (28 + 85)) + (22 - 1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5046513870 rounded to the nearest 1000000?\nAnswer: 5047000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r - 1 + 1)*(-3*r + 2 + 2*r - 1).\nAnswer: 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 757991542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 1122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-1 + 6\/((-120)\/(-25828)))\/((-8)\/(-80))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -38396600 divided by -310\nAnswer: 123860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 8*y**3 - 3*y**2 + 38*y - 64. Determine s(2).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 379 + -407. Let a = r - -40. Calculate the greatest common factor of 114 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 459705 and 570?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -22*y - 7. Let b be (-29 - 1)*(-6)\/18. Suppose -14 = 2*a - b. Is m(a) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20734919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 1764*r**2 + 29351616*r + 122097131776.\nAnswer: 4*(21*r + 174712)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1.2? (a) 2\/9 (b) 0.3 (c) -14 (d) 396\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 2*o + 17. Let p be z(-7). Calculate the common denominator of p + 206\/12 - 1 and -91\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 746008516, 746008515, 746008514, 746008513, 746008512?\nAnswer: 746008511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -401 divided by -190.\nAnswer: 401\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + 0 + 2 + 6 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {z: 1, a: 2, p: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in -5\/31, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -145420044 (base 7) to base 14\nAnswer: -1410024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 49 - 10. Let x = o - 38.12. Let n = x + -0.87852. Round n to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-3 + sqrt(208))**2.\nAnswer: -72*sqrt(13) + 651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -b = 3*p + 8, 0 = -2*p + 2060*b - 2065*b - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1104 + 1111. What is the remainder when 111 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 3 = -2*h, -3*h - 4*n + 1 = -3*n. Let w be 2\/1 - 308\/44. Which is the nearest to 1? (a) 0.2 (b) h (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1385 and 1435358600.\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 273350 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 5) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x - 4*z - 42 + 50 = 0, 3*x - 5*z - 22 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be (1\/(-2))\/((-1)\/(-4)). Suppose 595 = -76*l + 292 - 457. Let i be l\/8*s*(-48)\/(-15). Solve -2 + i = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 109, 245, 443, 733, 1145, 1709?\n\"Answer: 5*c**3 + c**2 + 98*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be -6*((-1)\/(-16))\/(-1). Let o = 0.7 - 3.1. Let y = o + 2. Put 5, x, y in descending order.\nAnswer: 5, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*w**2 + 0 - 112*w**2 + 23*w**2 + 2*w**2 + 22*w**2 + 2.\nAnswer: -62*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 253186386.\nAnswer: 2, 3, 42197731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0\/(-4) - 0 - -3. Suppose p*a + a = -2*n - 8, a = -4. Put -4, -1, n in decreasing order.\nAnswer: n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -14*h + 3. What is f(2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:53 PM and 11:43 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3.5 (b) -3 (c) -1 (d) -11.1 (e) 3\/8 (f) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 15263813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -264*l - 24. Let u(j) = -33*j - 3. What is 33*u(q) - 4*y(q)?\nAnswer: -33*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3505 + 3651. What is the highest common divisor of q and 86?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 5\/4 of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -15, -15, -29, -63, -123, -215?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 279455 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the third derivative of -381*t**6\/8 - 1547*t**5\/60 - 5052*t**2. What is the third derivative of f(b) wrt b?\nAnswer: -34290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1437665 a multiple of 1148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -1847456 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.057 + -0.443. What is the closest to -3\/7 in -4, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-261)\/(28449\/3706)*1\/1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 6*t**2\/11 + 295884*t\/11 + 591744\/11.\nAnswer: 6*(t + 2)*(t + 49312)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the first derivative of -10*m**3 - 83. Let h be ((-44)\/8 - -2)*-2. Let y(x) = 2*x + h*x - 7*x. Give r(y(c)).\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/5, -1\/2, 6, -2641 in descending order.\nAnswer: 6, 1\/5, -1\/2, -2641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 1735182 by 2.\nAnswer: 867591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (230 - y**2 + 40*y - 230)*(-4 + 3 + 3)*(y**2 - 2*y**2 + 2*y**2).\nAnswer: -2*y**4 + 80*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-18)\/12)\/(2\/(16\/3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 74*z + 24 = 86*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 9440230367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 0*-4*(-2)\/16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1600149?\nAnswer: 3, 353, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 2*p**3 - 4*p**2 - 34*p + 120. What is v(3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 143 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 5*i = -4*u + 8996, 0 = -2*i. Suppose 14*l = l + u. List the prime factors of l.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 0 = 8. Suppose 4*j = 4*v + 8, v - 4*j + 0 + 8 = 0. Suppose v = -2*u + 9 - 1. Calculate the remainder when u is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 8517*g**6 - 37*g**5 + 910531*g**2 - g + 3.\nAnswer: 1022040*g**3 - 2220*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1d3 + -43?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -122*f**3 - 299*f - 192*f - 5*f**3.\nAnswer: -127*f**3 - 491*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 12126 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 53 - 29. What is the highest common factor of 156 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8177718 <= 8177719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 91 = -2*r + 27. Let n = r + 45. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -17*k. Let y(t) = -19*t**2. Give y(h(m)).\nAnswer: -5491*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 852 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 125 + -120. Suppose 12*d - 42 = s*d. Suppose d*x = 13*x - 77. What is the remainder when 41 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 7*x**3 - x**2 + x - 2. Let b(c) = 15*c**3 - c**2 + 3*c - 5. Let v(k) = 2*b(k) - 5*l(k). What is the tens digit of v(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*k - 93 = 6*k. What is the third derivative of 6*x**2 - x**6 - k*x**2 + 22*x**6 wrt x?\nAnswer: 2520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 70\/(-7)*((-6)\/36)\/(3\/(-99))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*v - 969*v**2 + 1863*v**2 - 869*v**2 - 5*v**5 - 25*v**3 - 25*v**4 = 0. Calculate v.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 2*x**2 - 62*x + 13. What is t(31)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 15840 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-136)\/20 + (4 - -6). Solve 2\/5*q**2 + 2\/5*q**3 - h*q - 24\/5 = 0 for q.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 96.216 - 96. Let y = k + -0.616. Let r = 6\/11 - 7\/33. Which is the nearest to r? (a) 2\/5 (b) y (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + 85 + 331 + -500.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 17062411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -208*v**2 + 103 + 210*v**2 - 103. Let t(h) be the second derivative of -43*h**3 - 22*h - 1. Determine n(t(d)).\nAnswer: 133128*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -77, -156, -239, -326, -417, -512?\nAnswer: -611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 3 = 7. Let y be (9\/(-12))\/(120\/(-640)). Put -2, y, p in decreasing order.\nAnswer: y, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 460 + -455. Sort d, 1\/3, 18, -2, 22.\nAnswer: -2, 1\/3, d, 18, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -15*r**3 - 1225*r**2 + 97111*r wrt r?\nAnswer: -90*r - 2450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qf when two letters picked without replacement from {q: 6, f: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l be (24\/10)\/(-4) - (-1104)\/(-10). Let n = l - -111. Suppose n = -2*a - r + 463, -2*r - 1153 = 2*a - 7*a. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:54 AM and 1:33 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xvhx when four letters picked without replacement from gxhxhghxvxh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -43*b + 41*b + 1658. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x = -5*m - 33, -3*x - 6*m = -4*m + 30. Find the common denominator of (-284)\/43 - (6 + x) and -127\/6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*x - 2*x + 3*x)*(2 + 0 + 0) + (0 - 1 + 0)*(-65*x + 33*x + 40*x).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2278, -3, 1\/26?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) 3\/4 (b) -0.5 (c) 2 (d) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**2. Let w(b) = 1944*b**2. Determine w(p(f)).\nAnswer: 1944*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = l**3 - 4*l**2 - 2*l + 7. Let r be 0 + 3\/(9\/15). Let u = -1 + 9. Calculate the remainder when d(r) is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tjj when three letters picked without replacement from {j: 3, t: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*b + 7*b + 5*f = -21, 0 = 2*b - f - 15. Solve -53*d = -56*d - b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1611, 11449, 37741, 88713, 172591, 297601?\nAnswer: 471969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9573441*y + 9573441*y - y**2 - 3535 to b*y + z + m*y**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 47*a**2 - 24. Let o(n) = 6*n. Give o(t(c)).\nAnswer: 282*c**2 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1206 is divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the second derivative of v**4\/4 - 2*v**3 - 6*v**2 + 4*v. Let x(i) = i**2 - 5*i - 5. Calculate 5*s(f) - 12*x(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2.6 - -1.8. Let l = 4 - z. Sort l, 0, -5\/3 in decreasing order.\nAnswer: 0, l, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14258551 to the power of 1\/2, to the nearest integer?\nAnswer: 3776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6 - 3. Let q = z - -9. Is -5 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.98 + 1. Let f = -73.08 - -73. Let p = t - f. What is the nearest to p in 1\/11, -1, 1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 times -2006\nAnswer: -2006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -2539 + 29*f**2 + 19*f**3 + 2588 - 31*f**2 in the form x*f + g*f**2 + u*f**3 + y and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = 29.32 + -29.02. Which is the third biggest value? (a) v (b) 4 (c) -115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2945176 and 4888.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that r**2\/5 - 278*r\/5 - 1192 = 0.\nAnswer: -20, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) -4008681 (c) 0.4 (d) 5 (e) -5 (f) -0.2 (g) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 7}. What is prob of sequence tt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (2550\/16575*(-13)\/(-4))\/((-1)\/66)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 4*b - 0*b - 2*v, 0 = 2*b + 4*v + 28. Let k(s) = -s - 7. Give k(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2016\/1120*40\/(-7).\nAnswer: -72\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-456)\/1216)\/((-1)\/24).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 30, 322, 1110, 2640, 5158, 8910, 14142, 21100?\nAnswer: 30030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -4*-0.1163\nAnswer: 0.4652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 22278*j**4 - 2*j**3 + 2*j**3 - 22128*j**4 + 3*j**4 + j**4 - 3*j**4 + (-2*j**3 - 4*j**2 + 4*j**2)*(2*j - 3*j + 0*j) + 5*j + 2*j**4 - 5*j.\nAnswer: 155*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 172, 1, -7, -3 in increasing order.\nAnswer: -7, -3, 1, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4.4 - 3.9. Let k = -186 - -186.3. What is the second smallest value in -62, o, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1608215 divided by -35?\nAnswer: -45949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 16) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -59 - -59. Suppose q = -3*l - 3, -8*k - 5*l = -5*k + 8. Let s(f) = 14*f**3 - f**2 - f - 1. What is s(k)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 6*i + 5. Let f(v) = -5*v + 4. Let j be f(-3). Let z = 31 - j. What is the remainder when p(5) is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4 + -4. Let v = 154 - 155. Let k(a) = -33*a - 8. Let y be k(v). Solve y = -5*i - z*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27640 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 60411 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w**2 + 6*w + 17. Let k be p(9). Let y = -11 - k. What is the closest to -0.1 in y, -3, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*c**2 - 240*c - 245.\nAnswer: 5*(c - 49)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 3 - f - 4 + 10*f + 4 - 3*f + 4*f - 3*f + (-2*f + 3*f + 0*f)*(-3 + 1 + 1) + 0 + 0 - 3*f)*(-4 - 1 + 3) - f + 4*f - f in the form i*f + d and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/((-8)\/9)*(-4)\/(-144)*24?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -23.36 + 0.36. Let a = -40 + s. Let u = -47 - a. What is the biggest value in -0.4, -2, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 12877*t**4 + 4*t**2 + 92*t + 1.\nAnswer: 309048*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = u - 1. Let r be 3 + 2140\/35 + 2\/(-14). Let c = 67 - r. Let k(y) = -7*y + 5. Let j(l) = c*m(l) - k(l). What is the derivative of j(s) wrt s?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (571 + 2)*80\/24.\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 2*t = -7, 0 = t - 2*t + 2. Let p be (4 - 268\/3)*l. Calculate the highest common divisor of 32 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 2*l**2 - 3*l. Suppose -4*w = 3*h + 4, -5*w = -0*h + 3*h + 2. Let d be b(w). Calculate the highest common factor of 18 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 17 - 13. Let p = 3 - -5. Suppose -p*i = -3*i. Solve i = 3*z + 2 + q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -1\/3, -7, -1, -1\/7280?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3766, -7770, -11774, -15778, -19782?\nAnswer: -23786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4074829550170 minus 0.3?\nAnswer: 4074829550169.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.06, -0.1, -4, -4\/7, -3\/4 in descending order.\nAnswer: -0.06, -0.1, -4\/7, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 32892425 to the power of 1\/3, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b + 16 = -8*b - 3*d, -4*d = 3*b + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -n. Let o(x) = -5*x - 7*x + 5*x + 1. Let y(h) = h**3 - 3*h**2 - 7*h + 6. Let d be y(4). Let w(k) = d*i(k) + o(k). What is w(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the second derivative of v**6\/360 + v**5\/120 - v**3\/3 - 3*v. Let x(m) be the second derivative of s(m). What is the second derivative of x(o) wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i**2 - 15*i - 24. Calculate the lowest common multiple of -3 + 0 + -1 - -29 and v(-9).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o + 16. Let w(s) = -s**2 - 5*s + 14. Let m be w(-6). Suppose -11*l + m*l = 0. Give u(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1\/34436413707 + 890227209600191\/1927233893112255. Let f = t - -52\/2583. Find the common denominator of 27\/20 and f.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**(-12))**(-2\/25) assuming w is positive.\nAnswer: w**(-26\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is a613fd + -4?\nAnswer: a613f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = 60013\/21435 - -1\/4287. Determine j, given that u*j**2 + 12\/5 - 34\/5*j = 0.\nAnswer: 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 10*l**2 - 34. What is w(-4)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p**(-4\/5))\/p)\/((p**6\/p)\/p))**(-24)\/((p\/p**(1\/9)*p**5)\/(p*p*p*p**(-5)\/p*p**(1\/2))) assuming p is positive.\nAnswer: p**(9613\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 199831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 109\/54 and -58\/9635.\nAnswer: 520290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 45359 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (l**2 - l**2 - l**4)*((-l + 3*l + 0*l)*(-3 + 4 - 2) + 3*l - 3 + 3 - 26*l + 27*l + 20*l).\nAnswer: -22*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -7727 greater than or equal to -8246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, -0.0086, -28, 1531\/6 in decreasing order.\nAnswer: 1531\/6, -0.0086, -0.2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((-2*sqrt(351))\/sqrt(3) + 1 + sqrt(130)\/(sqrt(10)*2)).\nAnswer: -33*sqrt(13)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -14 = -20*h + 46 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -3.1*4507717\nAnswer: -13973922.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*w + 144*g = 3*w + 688, -14 = 3*w - 18*g - 9*g + 29*g for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the third derivative of -a**8\/720 - 2*a**7\/315 - 11*a**6\/1080 - a**5\/180 + 5*a**3\/6 + a**2. Let n(x) be the first derivative of c(x). Factor n(s).\nAnswer: -s*(s + 1)**2*(7*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 663 - 159 = 0. Suppose 371*x - 375*x = -p. Calculate the remainder when x is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -84 divided by 28?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 2, y: 3, l: 1, f: 3, h: 4, r: 3}. Give prob of sequence rrfr.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2 + (-944)\/(-495))*10. Let x be 3\/(-27) - 1\/1. Let j = x - q. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (934\/(-8))\/(4\/(-2*8)). Suppose -182 + i = 5*r. What is the remainder when 220 is divided by r?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -16, 6 in decreasing order.\nAnswer: 6, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 169176?\nAnswer: 2, 3, 7, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d**3 - 4*d**2 - 2*d. Let q be m(3). Which is the second biggest value? (a) q (b) -0.1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g + 2*c + 342461, 3*g = -3*c + 138660 + 203826. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5 + 25. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 11.44 - 11.38. What is the second biggest value in -7\/6, 0.3, 5, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*x + 9*x - 18*x - 945 = -6*x for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 265 - 238 - (49 + -6 + -7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -8.717153919 - 1.852.\nAnswer: -10.569153919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -i**3 - 246*i**2 + 121*i + 29753. Give b(-246).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {r: 5, c: 11}?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1630.\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6.04 - 0.04. Let s = 6.1 - k. Let f = -1009 - -1014. Which is the second smallest value? (a) s (b) 0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 453 minutes after 2:41 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 825552 and 3564?\nAnswer: 9081072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 - (8\/(-18) + 250\/(-45)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(144)\/sqrt(3))**2 + 5.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = 3*o**2. Let c(q) = 30 + 27 - 59. Let p(s) = -23*s**2 - 10. Let t(w) = -5*c(w) + p(w). What is t(y(h))?\nAnswer: -207*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 33*q**2 + 96*q**2 + 134*q**2 + (-3*q + 6*q - 2*q)*(-28*q + 3*q + 11*q).\nAnswer: 249*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 5\/8*r**4 + 7\/8*r**2 + 9\/8*r**3 + 1\/4*r + 1\/8*r**5 + 0.\nAnswer: r*(r + 1)**3*(r + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 258 = -3*m + f, 5*m - 2*f = 421. Let t(y) = m*y**2 - 47*y**2 - 39*y**2 + 3*y**3 + 3*y. What is t(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o**2 + 7*o + 1. Let r(v) = v**2 - 28*v - 4. What is -2*r(f) - 7*w(f)?\nAnswer: 5*f**2 + 7*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/2*0\/((-2)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 10) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 14 = 2. Let d = 8 - r. Suppose 0 = d*i + 8, 0 = -o - o + i + 104002. What is o rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 88 and 2024?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -123*s - v = -119*s - 17, 12*s - 3*s = -v + 42 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(((1*sqrt(204))\/sqrt(12))**2 - (1 + sqrt(17))*1 - ((sqrt(170) + sqrt(170)*-2 + sqrt(170))*6)\/sqrt(10)).\nAnswer: -4*sqrt(17) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n be 150\/9*9\/6. Let r = 36 - n. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4 - (-1 + 0)*(-4 + 33). Suppose -g*y + 6492 = -21*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -g**3 + 33*g**2 - 45*g - 498. What is the remainder when 221 is divided by o(31)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -197611\/5, -140\/11 in increasing order.\nAnswer: -197611\/5, -140\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/710662 or -4?\nAnswer: -1\/710662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -u**3 + 6*u**2 + 6*u + 13. Let r be v(7). Let h(n) = 94 - 94 - r*n. Let q(w) = 2*w**2. Give q(h(a)).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 83*l - 1 + 2*l**3 - 11*l**2 - 9*l**2 - 27 - 37*l.\nAnswer: 2*(l - 7)*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2732921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 106772 is divided by 1286.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.13 - -0.23. Let t = -0.27 + -0.03. Let w = t + 1.3. What is the smallest value in w, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 28*i*k**3 + 12*i*k + 425*k**3 wrt i?\nAnswer: 28*k**3 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 3*r = -27, 6*z - 3*r = 2*z. Let x be (-24)\/40 - z\/5. Let k = 82 + x. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33718?\nAnswer: 2, 23, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*n**2 + 2 - 5*n**2 + 4*n**3 - 10*n**3 + (-2 + 2 + 5*n**2)*(0*n - 2*n + n).\nAnswer: -11*n**3 - 3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-2\/5)*l**(2\/51)\/l assuming l is positive.\nAnswer: l**(-347\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by -56557?\nAnswer: -3\/56557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 1, d: 2, s: 1, v: 2, z: 1, l: 1}. What is prob of picking 1 d, 1 l, and 2 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-292)\/2190)\/((-5)\/(-75)))\/(2\/6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.877459 days in minutes?\nAnswer: 8463.54096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -5 times 80102\nAnswer: -400510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z + 4 = -12, 4*m + 5*z - 20 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 27695 - 193868\/7. What is the closest to -1 in m, -8, 24, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-80)\/(-260) - (-4)\/(-182). What is the nearest to s in -0.09, -9, -5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 40\/35*28\/(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 5, g: 9}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 33725398 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xxl when three letters picked without replacement from lxlwxxlqlq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the first derivative of -b**3\/3 + 3*b**2 - 4*b + 2. Let z be k(6). List the prime factors of -3*(0 + z\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 400 minutes before 11:55 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 3753870 to the nearest 10000.\nAnswer: 3750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -f. Let d = -10 + 7. Let g be l(d). Let z = 6 - g. Solve -4*p + 0*b + 4*b = 0, -z*b = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -4, 9494, -5, -27 in descending order.\nAnswer: 9494, -2, -4, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by 120039.\nAnswer: 2\/120039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -2*(7 - 15\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**3 - 4*p**2 + 1. Let z be i(4). Let j(c) = 3 + 5*c + 5 - 6*c. Let y be j(6). Which is smaller: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2256 + 15 - 4\/10*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/3, 9, 69\/13?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1691 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -g**2 + g + 0*g**2 - 30 + 4076.\nAnswer: -g**2 + g + 4046","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 124886995 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/10*105\/(-21). Let h(g) = -162*g + 162*g + 3*g**o. Let c(t) = 47*t. Determine h(c(y)).\nAnswer: 6627*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = -22 + 25. Suppose 4*s - 47 = 3*a, -k*a - 1 = 2. Calculate the lowest common multiple of 2 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/4*11*-3*(-12)\/36?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 364 + -359. Suppose -f + 2 = -2*i, -w*i + 6*i - 5*f = -19. Solve -3*t = -5*k - 20, 3*k - 3*t = i - 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-10594)\/2780 + 0 + 2. Let w = -3\/278 - g. Which is greater: w or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aaaaaa. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 77.2 at least 1872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 3\/730772 and -31\/3563.\nAnswer: 371962948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -180 - -182. Let v(d) = -97*d**a - 11*d**2 - 51*d**2. Let z(x) = -x. Give v(z(s)).\nAnswer: -159*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1158, -1728, -2314, -2922, -3558, -4228, -4938, -5694?\nAnswer: -6502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -1 + -1 + sqrt(243) + -3*(sqrt(243) + 2).\nAnswer: -18*sqrt(3) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1195524.9327 rounded to the nearest 1000?\nAnswer: 1196000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e when two letters picked without replacement from srrscrsrrresssmrresm?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 7125*a**2 - 13*a - 685. Let v(l) = 28499*l**2 - 55*l - 2738. Let p(i) = -3*v(i) + 13*w(i). Find the second derivative of p(d) wrt d.\nAnswer: 14256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 135194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17355609 = 3*v + 3*t, -5*t = -v - 4*t + 5785197. What is v rounded to the nearest one hundred thousand?\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in 2, -8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:24 AM and 12:24 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:23 PM and 11:18 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-16)\/1 - 140\/(-7). Let c(d) be the third derivative of -d**4\/3 + 5*d**3\/6 + 6*d**2. Calculate c(i).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**1*o**(-3))**(14\/3)\/((o\/(o\/(o**(4\/7)*o))*o*o**(4\/3)*o)\/(o**(-1\/6)*o*(o**(-1\/2)*o)\/o)) assuming o is positive.\nAnswer: o**(-292\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -1, 14, 6, -3 in descending order.\nAnswer: 14, 6, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(3) + -1 - sqrt(3) - sqrt(162)\/sqrt(6)) + 0)**2.\nAnswer: 12*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + w = -4*t - 259, 0 = w - 1. What is the hundreds digit of 4 - t\/(-18) - 524\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/(-54) - 305\/(-45).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s**2\/4 + 631*s\/4 - 99561\/2 = 0. Calculate s.\nAnswer: -862, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (-14)\/4*(15*3462\/(-29400) + 84\/48)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) be the second derivative of x**7\/3360 + x**6\/1440 - x**5\/480 - x**4\/96 - x**3\/3 + 8*x. Let l(w) be the second derivative of i(w). Factor l(m).\nAnswer: (m - 1)*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**2\/4 - 5*f\/2 + 6.\nAnswer: -(f - 2)*(f + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4*f*x**2 + 67*f + 103*x**3 + 8 wrt x?\nAnswer: -8*f*x + 309*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the third derivative of -y**6\/720 - y**5\/24 - y**4\/3 - 11*y**3\/9 - 99*y**2. Factor v(a).\nAnswer: -(a + 2)**2*(a + 11)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 435411 + 4?\nAnswer: 435415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -1159*a + 2*r - 38 = -1154*a, 5*r - 8 = -2*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -6*s**2 + 2*s + 4.\nAnswer: -2*(s - 1)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 109895 divided by -5.\nAnswer: -21979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3*(-8 + 7) - (4 + -9). Solve 3*o = -2*c - 16, o - 2*c = -3*o + u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 8, 30, -3, -37, 13, -4, -2 in ascending order.\nAnswer: -37, -4, -3, -2, 8, 13, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = 18 - 15. Let f(b) = 424*b - 406*b - 2*b**p + 6*b**2 - 10 + b**3. Let x be f(8). Solve -k + x = 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (42\/9)\/(8\/12). Suppose 0 = -j*s + 6*s + 5. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = n**2 - 5*n + 1. Let x be 10 - (1 + -5)*(13 + -14). What is a(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 114 = -53*w + 51*w, -w + 47 = 2*z. What is the highest common factor of z and 10310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t + 6. Suppose -5*u - 5*p + 0 = -5, -4*p = -20. Let w be s(u). Which is smaller: w or 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 6*k - 2. Let r be (4 - 7)*26\/(-6). Suppose -l - 2 = -b - 1, l + r = 5*b. Calculate the remainder when 19 is divided by m(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -60.3 + 60. Let u = -0.07 - -0.01. Which is the biggest value? (a) u (b) 4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*v + 12 = 3*r - 9*v + 3, -3*r - 5*v - 39 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 43*o - 3. Let g(s) = -12*s + 1. Determine 9*g(i) + 2*n(i).\nAnswer: -22*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 - 2 - (2 + 3 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-28)\/(-49))\/(-3 + (0 - 10\/(-2))). Which is the smallest value? (a) 4 (b) -0.1 (c) 5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 3898.031t in nanograms?\nAnswer: 3898031000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:57 AM and 1:47 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 68243.7g in tonnes?\nAnswer: 0.0682437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 2 + 3)*(4*z**2 - 5*z**2 + 0*z**2) + 136*z**2 + 132*z**2 - 276*z**2 + 2*z.\nAnswer: -6*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 318 minutes before 6:48 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 65\/76224 and -85\/47341456.\nAnswer: 568097472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 113192161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = i - 4*s + 4, -3*i + 4*i = 5*s - 4. Suppose -3*h + 20 - 14 = -3*c, h - 5*c - 22 = 0. Sort -5, 0, i, h in decreasing order.\nAnswer: 0, h, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 110 and 2464?\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the third derivative of y**4\/6 - 20289*y**2. Let x(u) = 28*u - 7. Let i(z) = -9*z + 2. Let b(j) = 7*i(j) + 2*x(j). Calculate o(b(t)).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 12352 divided by 32?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(2\/5)\/r)**(-49)*(r\/(r**(-4)*r))\/r**(-1) assuming r is positive.\nAnswer: r**(172\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 1 u, and 1 j when three letters picked without replacement from {j: 2, o: 1, q: 1, g: 4, u: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be (4\/(-10))\/(2\/(-10)). Let f be i\/(-5) + (-1285)\/(-25). Suppose s = 4*s - f. What is the highest common factor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2716, 2925, 3306, 3943, 4920?\nAnswer: 6321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -5*p**2 + 0*p**2 - 6*p**2. Let m(t) = -t**2 - t - 1. Let g(z) = -6*z**2 - 7*z - 7. Let c(d) = -2*g(d) + 14*m(d). Calculate c(h(o)).\nAnswer: -242*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j be -2 - (-3 + 0)\/(-3). Let l = j - -4. Let o(a) = 4*a**2 + 2*a - 1. Let r be o(l). Solve 0 = r*m + 26 - 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -6*i - 6. What is the closest to 0.1 in -6\/5, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -7696609, -15393223, -23089837, -30786451, -38483065, -46179679?\n\"Answer: -7696614*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -166\/35 or 0?\nAnswer: -166\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = -3*f - 0*h + 30, -5*f + h + 33 = 0. Let k be (0\/(-1))\/(12\/f). Suppose 4*m - 9 + 1 = k. Calculate the remainder when 4 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j**3 + 8*j**2 + 3. Let k be p(8). Suppose 4*x - 59 - 17 = 0. Let h be (-4)\/(-14) + x\/7. Calculate the highest common divisor of h and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1866 = -5*d - 2*b, d - 246 = -3*b + 122. Let j = 646 - d. Is j a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(104)\/sqrt(4))\/sqrt(2) - (sqrt(325) + -5 + -2).\nAnswer: -4*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 16815*w**2 + 139*w - 68688516?\nAnswer: 33630*w + 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by -19576\nAnswer: -3\/19576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*r + 0*r - r)*(-6 + 6 + 9*r**2) + 0*r + 0*r + 3*r**3 + 0*r**3 - 2*r**3 + 3*r**3.\nAnswer: -77*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 - 4) + (104 - 109).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 8*z**2 + 8*z + 21. Let x be g(-6). Let b = -183 + x. Suppose 4*l = 7*l - b. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16 (base 12) in base 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -32 = 5*x + 5*o + 8, -90 = 3*x - 2*o - 71 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 23 + -3. Let r = 9 + -5. Let a = 33 + r. What is the remainder when a is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3555 rounded to the nearest one hundred?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -24 - -35. Let p(y) = -33*y + 1859. Let u be p(54). What is the highest common divisor of u and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -35 - -48 - (11 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lo when two letters picked without replacement from okkolkk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -255 + -37. Let g = d - -123. Let x = -86 - g. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the first derivative of -2*n**2 + 26*n + 5. Let l be b(5). Suppose -22 = -5*a + 3*m, 5*m = -3*a + l - 20. Solve a = -3*k - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 435 and 312939.\nAnswer: 1564695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-118)\/(-16) - 3\/(-8)*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 2*h = 9, 5*t - 3*h = -0*t - 84. Let m = t + 15. What are the prime factors of 7 - ((3 - 6) + m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 3*h**2 + 27*h + 24. Let w(n) = 10*n**2 + 86*n + 72. Calculate 16*q(k) - 5*w(k).\nAnswer: -2*k**2 + 2*k + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fcci when four letters picked without replacement from ivcvffcccfijfff.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor m**3\/2 - 159404*m**2 - 637623*m\/2 + 478215.\nAnswer: (m - 318810)*(m - 1)*(m + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 504 divide 27369740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add together -4 and -193.61766411.\nAnswer: -197.61766411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = 11104 - 11370. Is q > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2.315 + -10.495. Let b = w + 12.9. What is the nearest to b in -0.5, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 155 and 362638?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4 or 162833\/5?\nAnswer: 162833\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-4)*w**(2\/7)\/w*((w\/((w\/(w\/(w**(-2)*w*w)))\/w*w))\/w)**(-27) assuming w is positive.\nAnswer: w**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p + 4*u + 1 = 12, 0 = -4*p - 5*u + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5269 + 3791. Is u <= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 1, -1, -5, -11, -19, -29?\n\"Answer: -z**2 + z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 383972582 to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 176\/(-374)*-17*87\/(-24)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, -6, 1.6, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4180 - -437.\nAnswer: -3743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*h + 216 = 2*h. Suppose -3 = -2*k + h. Solve 3*m + 11 - 3 = -y, k = -5*m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 19 - 0 - (13 - -12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -342522331*-2.\nAnswer: 685044662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 218080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = 47653\/3596 - 3\/1798. What is the common denominator of 28\/59 and i?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ifaez. Give prob of sequence zf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2973*-6.\nAnswer: -1.7838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 62725 (base 9) to base 10.\nAnswer: 41414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 188480584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.19 - 0.01. Let m = -0.1 - 0.2. Which is the biggest value? (a) m (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3154480?\nAnswer: 2, 5, 7, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 30 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = m**2 - m. Let b(t) = 5*t**2 + 7*t - 1. Let x(y) = b(y) + 5*s(y). Calculate x(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2761200 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 86838809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00077172 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62*p - 3 = 65*p. Let c be ((-10)\/44)\/(8\/48). Which is greater: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 392135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = u - 2*u + 10, 0 = 2*f + 5*u - 23. Suppose 0 = 9*p - 887 - 112. Let z = p - 66. What is the greatest common factor of f and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -77*a - 160*a = -21*a + 2376 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8484775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -c**3 + 23*c**2 + 53*c - 75 = 0 for c.\nAnswer: -3, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -142322234 (base 7) in base 10?\nAnswer: -9350303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let -2*l**4 + 150*l**2 - 140*l - 288 = 0. What is l?\nAnswer: -9, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -50 + 20 + 7 + 20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -79181768 or -79181775?\nAnswer: -79181775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 6 (base 15) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -2*n - 7. Let m be j(-6). Let y be m*(-3)\/(-9)*6. Let z(l) = 2*l**2 + 3*l - 5. Let q be z(2). Solve q*r + y = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 29.14 - -0.26. Let d = 29 - t. Sort -4, d, 3\/2, -0.3.\nAnswer: -4, d, -0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4065 - 16359\/4. Find the common denominator of j and -145\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (108\/48*4\/3)\/((-15)\/85)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((sqrt(76) + sqrt(76)*2)*2)\/(sqrt(44)\/(sqrt(11) + sqrt(33)\/sqrt(3) + sqrt(11)))*-4.\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -251203 rounded to the nearest one thousand?\nAnswer: -251000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 55210761 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**3 + 4*r**2 - 89*r + 329. What is l(-13)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -259.090901 rounded to two dps?\nAnswer: -259.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 52243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -11830, -23652, -35462, -47254, -59022, -70760?\n\"Answer: t**3 - 11829*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 31 - 51 = 0, 5*f = -5*i + 7260. Calculate the remainder when f is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bxj. Give prob of sequence jb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 1947*g**2 + 4*g**3 - 1947*g**2 - 71*g**3 + 7.\nAnswer: -67*g**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-7*21)\/(-3) + 2 is divided by 4\/(-136) + (-66057)\/(-3298)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 30 - 20. Suppose -k + 2*z + a = -2, 0 = -3*k + z + 31. Suppose -3*l + k = 1. Solve 5*u + 10 = -2*m, -4*u - m - l = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*z - 4*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -14\/3 and -50\/171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out 98 - 15420400.\nAnswer: -15420302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -2, 1.8, 1\/5, 64?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-6)\/7 - 2184\/(-147). Calculate the highest common factor of y and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 407 + -84. Let n = l + -124. Let q = n + -134. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 334215.2mm?\nAnswer: 0.3342152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-y**2 + 3*y**2 + 0*y**2)*(1 + 3 - 3) + 3*y**2 + 7*y**2 - 3*y**2 + (3 - 1 + 0)*(-5*y**2 - y**2 - 13*y**2) to r*y + p*y**2 + a and give p.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3610)\/18050*10\/22.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7235 + 14629. List the prime factors of g.\nAnswer: 2, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p + 6 = -5*s, -19 = 4*s + 5*p - 29 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -7*b**3 - 15*b**2 + b + 1. Let o(w) = 3*w**3 + 7*w**2 - w - 1. Let u = -16 + 11. Let q(j) = u*o(j) - 2*k(j). Calculate q(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 289 minutes after 8:56 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s - 3*n = 4 - 1, -4*s - n - 1 = 0. Suppose 4*o - 5*o + 66 = s. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -279 in 387, -2\/19, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from pfednnfdfndnff.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mhmfmjfmmmofmmhmvmj. What is prob of sequence mmf?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-2)\/(-3))\/(32\/6 + -6). What is the closest to 1\/4 in f, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hhe when three letters picked without replacement from {e: 1, h: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express 2*q - 149 + 67 + 46 - 284 in the form n*q + a and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 60 - 50. Suppose w*z = 6*z + 232. Suppose 4*n - z = -62. Is n at most 2\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 16601 and 46?\nAnswer: 763646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s be 54\/9 - 0*2\/4. Solve -5*t = -3*t + s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 2*d**3 + 2*d**2 - 2*d + 1. Let x = 10 - 6. Suppose 5*r + 5*t = 25, -r - x*t = -2*r - 15. Let l be s(r). Solve -2 - 10 = l*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7667226.\nAnswer: 2, 3, 7, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 9, m: 3}. What is prob of picking 3 m and 1 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -2*q**2 - 2*q. Let f be a(-2). Let t = 9 + f. Solve 1 = -3*b - t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 24*g**2 - 4157*g - 4161*g - 2 + 8318*g. Let d(l) = 23*l**2 - 3. What is 4*d(m) - 6*z(m)?\nAnswer: -52*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k - 5. Let d be c(5). Suppose 5*h - 3*j - 2*j - 35 = 0, -4 = -4*h - 2*j. Solve -h*n = -d*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -6*(3\/(-9) - 0). Suppose -l*g - 55 = -7*g. Let b(j) = 9*j - 2. Is b(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.956879 days in minutes?\nAnswer: 1377.90576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 8701, 17431, 26149, 34855, 43549?\n\"Answer: -6*j**2 + 8748*j - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -66*l = 29*l - 339 + 54. Let g(v) be the second derivative of -v**4\/12 + v**3 - 2*v**2 - v. Let u be g(3). Is l > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*g + 13*g + 191 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -16 (b) 4\/3 (c) -0.1 (d) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 342 a factor of 155004660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -73169.6 and -1114226?\nAnswer: 1041056.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 137 times 649.7386\nAnswer: 89014.1882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21329 is divided by 6883?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -65091 or -585829\/9?\nAnswer: -585829\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 - -2121111001202?\nAnswer: 2121111001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 35\/97 - -5257\/485. What is the common denominator of z and -3*(-52)\/9*1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -2301*t - 34514. Determine h(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(28)\/(sqrt(12)\/sqrt(3)))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 8*a**2\/3 + 674*a\/3 + 56.\nAnswer: 2*(a + 84)*(4*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 5*d = 3*i + 6, 4*d = -2*i - 12. Let r(u) = u**2 + 4*u + 5. Let h be r(i). Solve 0 = -4*v - 7 - h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 53 + -96. Let b = -42 - v. Let s = 0.15 - -0.25. What is the fourth smallest value in -1, b, -1\/7, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.0289 and -3.\nAnswer: 0.0867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4*(-9)\/48)\/((-9)\/(-8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 67 minutes before 7:14 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l = -4*i - 4, -5*i - 5*l = -6*i - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(17) - (sqrt(68)\/sqrt(4) + -2)) + sqrt(17) - 1*1*sqrt(17) - (((sqrt(119) + 1*sqrt(119))\/sqrt(7))**2 + (sqrt(153)*-1)\/sqrt(9) + 0).\nAnswer: -66 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -r - 13 = -10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-28)\/42*138\/(-4). Let u = 23 - o. Solve -3*z + 3*s = z - 4, u = -3*s + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r + 4*r - 3*r)*(-3*r**2 + 3*r**2 + r**2) + 112*r**2 - 112*r**2 + 81*r**3.\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a - 31 = z, 2*a - 30 = 15815*z - 15813*z for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*u + 64 = y, 2440*y + 5*u + 23 = 2442*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 2446\/1919?\nAnswer: 2446\/1919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**3)**7)**(-47)*((h*h**(-2\/7)\/h)\/h**(2\/21))**(28\/9) assuming h is positive.\nAnswer: h**(-26681\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*d + 483 + 792. Suppose 0*r - 25 = -5*r, -2*y + d = 3*r. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that 3*d**4 - 48378*d**3 + 182566407*d**2 + 100541578500*d + 12957369187500 = 0.\nAnswer: -250, 8313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 4, 10 in descending order.\nAnswer: 10, 7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 30*n**2 - 12*n + 11. Let f be d(1). Solve -f + 5 = 6*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 849872 is divided by 5535.\nAnswer: 3017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -3 > 0.006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the third derivative of -y**6\/720 - y**5\/40 - y**4\/8 - 8*y**2. Let i(t) be the second derivative of f(t). Let p be (1 + 9)\/(1 + -3). What is i(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -449\/4842 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 692653 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 139\/1122 and -56\/2057?\nAnswer: 12342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Product of -420.14 and -0.1.\nAnswer: 42.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2283\/(-24) - -1)\/(39 - 36). Let h = d - -63\/2. Factor 1\/4*b**3 + 0 + 0*b**2 - 1\/8*b**5 + 0*b**4 - h*b.\nAnswer: -b*(b - 1)**2*(b + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -15633\/14 + 1118. What is the common denominator of -33\/4 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(-1)*((-15)\/10)\/(189\/441)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pgpygpgpzpygpp. What is prob of picking 1 z and 3 p?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 6*j + 65. Let u(t) = t**2 + 14*t - 21. Let f be u(-15). Let s = f - j. Solve -2*z + 2*i = i - 9, 3*z - s = -5*i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -33 + 63. Suppose 0*p - 3*p = -i. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -284? (a) 4 (b) 0.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 24*y**4 + 24*y**4 + y - y**3 - 67*y**4 + 39*y**4 - 2*y**2 + 2 to n*y**3 + f*y + j*y**2 + z*y**4 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zq when two letters picked without replacement from {b: 1, q: 2, g: 1, j: 1, o: 1, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = -210186 + 210185.999905951. Round u to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_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: List the prime factors of 2478228.\nAnswer: 2, 3, 206519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/((y\/((y\/y**(-3))\/y*y))\/y))\/(y*y*y**6*y))\/((y\/((y**3*y)\/y))\/y*y\/y**(-4)) assuming y is positive.\nAnswer: y**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 229 is divided by 192?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -l - 5, 2*l - 7*l - 24 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 20985 (base 11) in base 15?\nAnswer: 905e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 + -1.2. Let h be 12 + (-16)\/(-4) - 1. Let j be ((-10)\/h)\/(2\/(-3)). Which is the third biggest value? (a) j (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 247 = -3*v, 59*p - 56*p - 15 = 0. Suppose -2*c + 370 = -0*c. What is the greatest common divisor of v and c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 906204, 906216, 906228, 906240?\nAnswer: 906252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 1344102 (base 7) to base 10.\nAnswer: 179097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9413 + -9408.157. What is j rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = -17*y + 11496. Suppose h - 953 = l, -4*l + y = -0*h + h. What are the prime factors of (5 - 3)*h\/12?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -e (base 16) to base 14\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3443\/53090 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) be the third derivative of 8*k**5\/15 - 3*k**4\/8 + 28*k**3\/3 - 2*k**2 - 3*k - 297. Let v = 15 - 8. Is u(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3 + -30055?\nAnswer: -30102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 3, m: 1}. Give prob of picking 1 m and 1 e.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 0.3 * 698\nAnswer: 209.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -5235108 by 1745036.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by 1087?\nAnswer: 5\/1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-2)\/3)\/(58200\/(-5292) + 11). Let h = 566 + j. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence so when two letters picked without replacement from {r: 7, s: 2, m: 1, o: 2, p: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 11 + (-16 - -12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + 18 = 4*v - r, 2*v = 5*r + 18. Suppose 0 = k + 4, -v*k + 483 + 51 = 5*f. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l + 5 + 10. Let u = 3 - l. What is the third derivative of d**6 + u*d**6 + 3*d**2 - d**2 wrt d?\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the first derivative of 35\/2*v**2 + 1\/20*v**5 + 0*v + 1\/2*v**3 + 43 - 1\/6*v**4. Let t(f) be the second derivative of z(f). Calculate t(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**3 + 2*x**2 + 4*x - 3. Let n be t(3). Suppose f = -n*f + 6. Find the third derivative of 2*r**6 + r**2 + r**f - r**6 wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the second derivative of -l**5\/20 - l**4\/2 - 5*l**3\/6 + 3*l**2\/2 - 37*l. Give t(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(224)*4)\/(-3*sqrt(800)).\nAnswer: -4*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 1 d, and 1 h when three letters picked without replacement from pqphphqrdpzzdrqdrrqd?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 50.6522nm to centimeters.\nAnswer: 0.00000506522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*w - 20*w + 0 + 0 to the form p + r*w and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 766894 is divided by 25428?\nAnswer: 4054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/2, -6, 1\/9, 8, 2 in increasing order.\nAnswer: -6, -1\/2, 1\/9, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-2 + -2 - -10) + 4 + 33 + -7\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pyp when three letters picked without replacement from pppppyypippppypipppp?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 9481 and 192869.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4 - -315a?\nAnswer: 315e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20593251.\nAnswer: 3, 7, 108959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -t**5 + 185306*t**4*u + 3*t**2 - 7*t*u - 9965*t - 2*u - 2 wrt t.\nAnswer: -20*t**3 + 2223672*t**2*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = -0*z + 15. Is z\/5 - 7\/((-35)\/6422) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 1116 divided by -93\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 0.2 times -0.88\nAnswer: -0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 1021445 (base 12) to base 13\nAnswer: 8210b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 16439861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*q**2 + 2*q**2 - 3*q**2)*(-2*q - 3*q + q)*(3 + 5 - 1) as a + t*q + o*q**2 + f*q**3 and give f.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 + 5 = -3*l, -5*i + l - 15 = 0. Let n = i - -7. Solve -z + n*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*u = -89 + 19. Let v be u\/15*6*1. Suppose -3*d = 3*w - 2*d - 13, -3*d = v*w - 24. Solve -w*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -7*o + 22*o - 65 + 77. Is 34 a factor of b(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 4 = -5*t. Suppose t*y - 1977 = -y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -2*v**2 + 15*v + 14. Give w(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -146292\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/5)\/(6\/32*6752\/(-633)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - (-5 - -4 - (4 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(1\/6)*f*f*f*f**5*f\/(f*f**(-2)*f)*f*f*f**(-4\/7)\/f*f)\/((f\/f**(-5))\/f**(4\/5))**(15\/2) assuming f is positive.\nAnswer: f**(-1193\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**14\/(n*n**(-25\/2)))\/((n*n**(-25))\/n)**43 assuming n is positive.\nAnswer: n**(2201\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 36, 59, 78, 99, 128, 171, 234, 323?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 267339639 to the power of 1\/3, to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/(-10))\/((-9)\/((-180)\/16))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.2 - 0.3. Let s(z) = -z**2 + 6*z + 6. Let l be s(7). What is the closest to 0 in l, m, -1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2\/(-3))\/(18\/(-27)). Let h be (6\/4)\/u*2. Suppose 0 = h*z - 12 - 60. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 3\/385 and 79\/1210?\nAnswer: 8470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -16 or 4\/383?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -465\/116 - -22\/29. Find the common denominator of 8\/23 and m.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 73*w**3 + 4*w**2 + w. Give g(2).\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g**2 + 16*g - 15. Let n be y(15). Solve -5*j - 5*q + 4*q - 3 = n, -1 = 3*j + q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -14.701, 4, -0.3, -3, -4\/5 in decreasing order.\nAnswer: 4, -0.3, -4\/5, -3, -14.701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -316, 71805, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 141, -467, 19, -4, 0 in descending order.\nAnswer: 141, 19, 5, 0, -4, -467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3, 1, 21, 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 378*w - 390*w - 181236. Let t be 1\/4 + 369626\/(-8). Let v = w - t. Round v to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3258042379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -52*a**2 + a + 93.\nAnswer: -104*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 14431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.8 (b) 2\/7 (c) 25\/7 (d) 26 (e) 0.5 (f) 5 (g) 0.07\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o**2\/9 - 44*o\/3 - 12272\/9 = 0. What is o?\nAnswer: -52, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -7, -2, -14, -30, -12\/5 in ascending order.\nAnswer: -30, -14, -7, -12\/5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.103 + -0.417. Let t = k + -0.48. Let n = -5.96 - 0.04. Put n, t, -2\/9 in decreasing order.\nAnswer: -2\/9, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2\/81 - 176\/567. Suppose 76*y = 78*y + 12. Let v be (-11)\/(-11) + y\/7. Which is the closest to -2\/11? (a) 1\/3 (b) m (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 + 1 - 1)*(4*q**2 - 2*q**2 + 0*q**2) + q**2 - 4 + 4 - 9*q - q**2 + 6*q + 6*q**2 to s*q + l + p*q**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 579280164 a multiple of 2193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/3, 2\/17, -9 in descending order.\nAnswer: 2\/3, 2\/17, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1 - 1.563582.\nAnswer: -1.463582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 5, k: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 108638911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 37813.67 kilometers in millimeters?\nAnswer: 37813670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3794, -30456, -102826, -243758, -476106, -822724, -1306466, -1950186?\nAnswer: -2776738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9 - -9. Let j = -9330 + 46651\/5. Sort j, -2, -1, v in ascending order.\nAnswer: -2, -1, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the first derivative of t**4\/4 + 2*t**3\/3 - 2*t**2 + 559. Suppose 0 = 2*k + 5 + 1. Let r be a(k). Solve -r*f = 4*b + 11, 4*f + 3 = -3*b - 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 7887015 by -3.\nAnswer: -2629005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*s - 6*s - 16 - 4*s + 16.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by 222671.\nAnswer: 4\/222671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 1406 + -15384964.65.\nAnswer: -15383558.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**2. Let c(b) = b + 1. Let k(f) = 10*f + 2. Let a(d) = -2*c(d) + k(d). Determine q(a(o)).\nAnswer: 64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.073 + 43.073. Let a = v + -42.903. What is a rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00700399 to five decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 11991, 23983, 35975, 47967, 59959?\n\"Answer: 11992*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 9\/10 and -39\/410?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -10 divided by -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 17130, 17144, 17160, 17178?\nAnswer: 17198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3721095448?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**3 - 8*a**2 + 7*a - 10. Let h be v(7). Let f be 0 + 5\/(h\/464). Let s = -528 + f. What is s rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.4 in -7, -2\/9, -1\/7, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**3 + 24354682*q**2 - 24354684*q.\nAnswer: 2*q*(q - 1)*(q + 12177342)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 15, -1, 23, 3 in ascending order.\nAnswer: -1, 3, 15, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 21005 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -295, -315, -361, -445, -579?\n\"Answer: -2*a**3 - a**2 - 3*a - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 64420450 + -19515.\nAnswer: 64400935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*q - 5*j + 19, 14 + 25 = -5*q + 4*j for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -9*l**3 - 71*l**2 + 22*l + 66. What is the smallest common multiple of 2 and p(-12)?\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the second derivative of -z**4\/12 - 25*z**3\/3 + 26*z. Factor k(n).\nAnswer: -n*(n + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7958 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1862) + sqrt(1862)*2)\/(sqrt(72)*2 + sqrt(72)) + 3 + 5*(-2*sqrt(1539) + sqrt(1539))**2.\nAnswer: 7*sqrt(19)\/6 + 7698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.3, 5, -1679?\nAnswer: -1679","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 549 minutes after 8:51 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 30743758 * -0.26.\nAnswer: -7993377.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 7269569017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 4, -44\/7 in decreasing order.\nAnswer: 5, 4, -44\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 20*v - 1. Let m(c) = -85*c + 12. Let o(r) = -5*l(r) - m(r). Give o(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -144*s**2 + 11*s + 11. Let i(c) = -29*c**2 + 2*c + 2. Suppose -94*l + 96*l = -44. Let g(n) = l*i(n) + 4*w(n). Let b(f) = 2*f. Give g(b(u)).\nAnswer: 248*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -10911*f - 99. Let s be ((-2)\/(0 - 2))\/(1\/(-9)). Let m be j(s). Round m to the nearest one thousand.\nAnswer: 98000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-25*n - 339 + 339)*(0*n - 3*n + 4*n).\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*o**2 + 4328*o - 2163*o - 2165*o.\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 2\/17, -0.2, -48, -56 in decreasing order.\nAnswer: 2\/17, -0.2, -1, -48, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/4, 2, 21?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 26629 (base 10) to base 9.\nAnswer: 40467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1\/7 (b) 5 (c) 201 (d) -8741\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 521 + -240. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4.003 + -4.303. What is the smallest value in 2, -46, 0, n?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -870, -864, -846, -810, -750, -660, -534?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -12*f**2 - 5 + f - 245*f**3 + 241*f**3 - 10*f. What is the hundreds digit of o(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 2*p**2. Let m = 7 - 4. Let c(z) = 3 - 6 + m - z. Calculate s(c(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (4688\/(-5860))\/((-14)\/(-2485))?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t**3 - 39*t**2 + 3. Let u be w(39). Let y(s) be the second derivative of -3*s**2 + 1\/3*s**4 + 2*s + 1\/20*s**5 - 4\/3*s**u + 0. What is y(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -93543*l**5 - 52*l - 87?\nAnswer: -1870860*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the first derivative of -1\/3*k**2 + 0*k**3 + 1\/3*k**4 + 0*k - 1\/9*k**6 + 12 + 0*k**5. Factor y(v).\nAnswer: -2*v*(v - 1)**2*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4.3 - 4.2. Let v(g) = g**3 - 5*g**2 - 6*g + 2. Let o be v(6). Let i be (o\/(-10))\/(0 - -1). Is i less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) be the first derivative of -149*j**3\/3 - 2*j - 1825. Let l(n) = 7*n**2. Calculate u(l(b)).\nAnswer: -7301*b**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20 - (-6 - (-26 + 6 - -12)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 16) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/1)\/(3\/(-5))*(-342144)\/304128?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 30743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 710?\nAnswer: -2\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -23 + 17 - (-3 - (4 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 276 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s = 4*i + 90, -40042*s - 116 = 5*i - 40040*s for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2618 or 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 318335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 713310 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10981.\nAnswer: 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2\/3 (c) -14284\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -258931.4 * 3.7\nAnswer: -958046.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:54 AM and 6:50 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aeae when four letters picked without replacement from zezezzaaajzezzeezz.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8268\/5 or -1654?\nAnswer: -8268\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 16*o**2 - 7*o - 5. Let u(n) = n**2 - n - 1. Determine i(f) - 6*u(f).\nAnswer: 10*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 53628535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k + 2*x + 18 = 0, 0 = -889*k + 889*k + 3*x - 15 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 709.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l = 4*q + 1 + 12, 4*q - l = 17 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -f*o**2 + 7*f*o - 320*f + 5*o**2 wrt o?\nAnswer: -2*f*o + 7*f + 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + -1 + (2 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10 - 8*z**2 - 7 - 30*z**3 - 3.\nAnswer: -30*z**3 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 2041850 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.026378959 to 4 decimal places.\nAnswer: 0.0264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-7)*f)\/f*f**(-10)*f*((f\/(f*f\/f**(4\/3))*f*f*f)\/f*f*f*f)\/(f*f**13) assuming f is positive.\nAnswer: f**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 + 23144?\nAnswer: 23151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8.4 - 8.35. Which is the second biggest value? (a) j (b) 2\/39 (c) 0 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/53517 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 19837217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.19 - 0.39. Let a be 0\/(-5 - (-2 + 2 - 3)). What is the closest to a in k, 1, -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -352 + -13?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 9661.881 days in hours?\nAnswer: 231885.144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -11 + 31 - (-7 + -48329)?\nAnswer: 2, 7, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*o**2 - 2*o**2 - 212 + 456 - 3*o**2 - 244.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 9*n**2 - 57*n + 20. Let r be o(6). Solve -3*m - 2*c - 19 = 2*m, -r*m - 3*c - 1 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 29*g + 30. Let z be r(-1). Let d(h) = 1298*h + 7. What is the thousands digit of d(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*m**3 - m**3 + 5*m**3 + 0*m**3 + 2*m**3 - 3*m**3 + (2*m**2 - m + m)*(2*m - 2*m - 2*m) to the form k*m + h + s*m**3 + v*m**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 + 7 - 71*x**3 - 4 - x**2 - 2 to g*x**3 + i + a*x**2 + n*x and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = c**3 + 9*c**2 - 3*c - 121. Determine w(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.576244401 rounded to five dps?\nAnswer: 0.57624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = 37*f - 32*f - 83, 0 = f + j - 22. Calculate the highest common divisor of f and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -4420, -17965, -40548, -72169, -112828, -162525?\n\"Answer: -4519*c**2 + 12*c + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 391 minutes before 11:03 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -370 - 26. Let g(w) = 2*w**2 - 4*w + 3. Let m be g(3). What is the highest common divisor of m and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.8*-3.3.\nAnswer: -2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -4*t - 2. Let n be v(7). Let c be 10\/(-35) + n\/(-7). What are the prime factors of (-8)\/(2\/c - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i = 30*j - 10*j - 11*j - 69, 4*j + 29 = 9*j - i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 = 3*t + 5*j, -2*t + 5*j = 3*t + 45. Let o(d) = -14*d - 5. Let i be o(t). Let q be 2*1\/(-2) - -16. Calculate the greatest common divisor of q and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 26.98 - -3.\nAnswer: 29.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 106435 is divided by 164.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -10*z + 1 + 2*z + 6*z - 10*z. Let q(h) = 3*h. Let f(m) = 2*n(m) + 9*q(m). Let p(b) = 6*b + 5. Give 5*f(r) - 2*p(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -77446*k**2 - 63347 wrt k.\nAnswer: -154892*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 37531910 and 260?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -102110 (base 3) to base 6.\nAnswer: -1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -2 bigger than 1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 4, e: 7}. What is prob of sequence pppp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -21.40547 + -2.2\nAnswer: -23.60547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 25\/8 and 31\/58.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.052 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o, 1 s, and 1 k when three letters picked without replacement from lkkokiks.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2518546661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) be the second derivative of t**5\/20 + t**4\/12 + t**3\/6 + 5*t**2\/2 + 5*t. Does 3 divide i(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence es when two letters picked without replacement from glwsglelsgeeggeesfe?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the third derivative of -b**6\/40 + 2*b**3\/3 - 2*b**2. What is the first derivative of t(v) wrt v?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2745, -3245, -3743, -4239, -4733, -5225, -5715?\nAnswer: -6203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17 + -13 + (17 - 17) - (0 - -35).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q - 5*m - 12 = -3*q, -5*q - 3*m = -20. Suppose 5*r - q*n - 1804 = -2*n, -r - 3*n + 371 = 0. List the prime factors of r.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*s**2 - 25*s**2 - 6*s**2)*(-3*s + 0*s + 0*s)*(-s - 5 + 5).\nAnswer: -81*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 4*q**3 + 86*q**2 - 130*q + 20. What is w(-23)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-10)\/(420\/(-54)) - (-4)\/(-14). Which is greater: t or 23\/15?\nAnswer: 23\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -71, -73, -85, -113, -163, -241?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 436 + 182. Let r be -2*(-3)\/(-15) - o\/(-495). Is r smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 7*g**2 + 2*g. Let h(u) = -u**2 - 1. Let b(z) = -2*z + 6. Let q(k) = -b(k) - 6*h(k). Give 6*q(c) - 5*w(c).\nAnswer: c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**2 + m. Let y(t) = 2*t**2 - 4*t + 2. Suppose -5*o + 42 - 112 = 0. Let j(a) = o*k(a) + 2*y(a). Determine z so that j(z) = 0.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (42\/(-4))\/(1488\/1984).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 95*o + 3. Suppose -3*a - 4*h = -29, 2*h = a + 4*a - 5. Is k(a) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the second derivative of 0*t**3 - 3*t + 0*t**2 + 0 - 1\/30*t**4. Solve g(l) = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 377181, 377188, 377195, 377202?\n\"Answer: 7*j + 377174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 909 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -0.01, -1\/4 in decreasing order.\nAnswer: 2, -0.01, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (k**2 + 0*k**2 + k**2)*(37 - 3 - 6)*(3 + 4 - 4) in the form f*k**2 + o*k + n and give f.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = -2*f + g, 2*g - 6 = 4*f. Suppose 0 = -b - c + 189 - 188, 0 = -b + 4*c + 16. What is the remainder when b is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4048530 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 14796256*h**5 - 5*h**4 + 463839186*h**2 wrt h?\nAnswer: 887775360*h**2 - 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1849? (a) -14 (b) -3 (c) 0.061 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-5*sqrt(171)*2)\/(sqrt(27)\/(sqrt(30)\/(sqrt(70)\/sqrt(7)))).\nAnswer: 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:21 AM and 4:45 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*v + 3*h - 6*h + 21, 0 = -2*v - 3*h + 9. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the first derivative of 5*b**6\/6 - 13*b**5 + 205*b**4\/4 - 235*b**3\/3 + 45*b**2 + 72. Factor n(o).\nAnswer: 5*o*(o - 9)*(o - 2)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28704 divided by -46.\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 65 + -61.48. Let u = -0.94 + 0.62. Let k = u + a. Round k to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, y: 6, n: 3, d: 4, x: 1, l: 1}. Give prob of sequence cn.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -z**2 - 12*z - 27. Let u be h(-6). Let d be 15\/(-30) + 0 + u\/2. Let j be 6\/(-15) + 34\/10. Solve -d*n = -17 - j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4965686 minutes to microseconds.\nAnswer: 29794116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(6\/13)*y**(-42)*y)**(-5\/13) assuming y is positive.\nAnswer: y**(2635\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 795 = -2*m, -5*m = -o - 838 - 1132. Let x = -4841\/12 + m. Find the common denominator of -4\/9 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f*f*f*f*f**(-1\/3))\/(f\/(f\/(f**(-1\/34)*f))*f))\/(f\/f**(2\/3))**(3\/32) assuming f is positive.\nAnswer: f**(4349\/1632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6.2 - -1.3. Let s = -7.342 + x. Round s to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**2 + s + 11. What is the tens digit of f(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 6, u: 1, o: 4}. What is prob of sequence ooo?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 29 - 31. Let z(g) = g**3 + 3*g**2 + 1. Let t be z(w). Suppose 4*n - 95975 = t*h, -50464 + 146469 = 4*n + h. Round n to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, u: 2, t: 1, m: 1, d: 1, x: 1}. Give prob of sequence vd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 8.788747 kilograms in micrograms?\nAnswer: 8788747000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + 2752 = 4*m, -3440 = -55*m + 50*m - w. Let x = -686 + m. Solve 6 = x*b - 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (103 - 104) + (18 - (-2 - (1 + -2))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**3 - w - 1. Let o(p) = -4*p**3 - 35 + 12*p**3 + 16 + 0*p + p**2 + 14 - 6*p. Give 6*l(i) - o(i).\nAnswer: -2*i**3 - i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {j: 1, d: 4, o: 4, f: 1, e: 3, m: 7}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000391757447 rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 6.59 (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) -1\/3 (b) 0.4 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 363012 divided by 4?\nAnswer: 90753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o + 5*o - 18. Let n(x) = x**3 + x**2 + 2. Let y be n(0). Suppose o*f - 33 = f + 4*l, -y*f + 12 = -l. Solve -6*v + f = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-seven fifths of a kilometer in meters?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 204, 205, 192, 159, 100, 9, -120?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 197239*h + 2349 = 197320*h for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1517361218?\nAnswer: 2, 758680609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -2, 3, 16, 43, 90, 163, 268, 411?\n\"Answer: b**3 - 2*b**2 + 4*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x**3\/4 + 3845*x**2\/4 - 6680*x + 9525 = 0 for x.\nAnswer: 2, 5, 762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25177.\nAnswer: 17, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 50190255 and 1420?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42 - 13 - y**2 + 2*y**2 - 29.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 13751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 5 - 3*u - 3 + 4*u. Let y be o(8). Is y\/45 - 2930\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -5, 2, -1\/2, 0.2434494?\nAnswer: 0.2434494","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -46393 divided by 65\nAnswer: -46393\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -111 (base 2) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 66 = 2*z, 7*o - 4*o - 37 = -z. Solve -z = -17*w + 37 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -f97 (base 16) in base 5?\nAnswer: -111431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3256101 kilograms in nanograms?\nAnswer: 325610100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 42742 and 32305.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -11*z + 416. Give a(9).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4536 + -4536.00007436. Round r to 6 dps.\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 520 and 1370.\nAnswer: 71240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = 130027793885 + -130027795317.00004618. Let v = x + 1432. Round v to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 4*x**2 + 2*x - 38. Let z = 333 - 340. Is 12 a factor of h(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 36715 - 36781. Let c be 550\/(-8) + 2\/(-8). Is m less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*w**2 + 3*w**2 - 3*w**2)*(12*w + 6 - 6).\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(0 + sqrt(1216) + -1)**2 - (sqrt(931) + 3*(0 + sqrt(931)) + 5).\nAnswer: -2439 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-2\/15)*(y**12*y)\/y)\/(y**(4\/11)*y\/(y**(-4\/13)*y)*y))**(-17) assuming y is positive.\nAnswer: y**(-371773\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (112\/(-40))\/(((-6)\/(-21))\/((-5)\/(-7)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-2)\/(-1) - -1) + 3. Let l(k) = k**3 - 5*k**2 - 6*k - 6. Let v be l(g). Let w(z) = z + 7. What is the units digit of w(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8985861 plus 411960?\nAnswer: 9397821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from {n: 4, s: 4, b: 2, l: 3, p: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(-4 + 1*sqrt(75)))**2 - ((sqrt(75) + (sqrt(75) - (sqrt(75) + 1)) + sqrt(75))**2*-3 + (sqrt(75) + 0)**2 + -3).\nAnswer: -700*sqrt(3) + 2287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v, -5*q - 2*v + 1200 = v. Let z(n) = -2*n - q + 119 + 118. Let t(x) = -1. Determine -6*t(p) + z(p).\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -66 = -323*i + 372*i + 130. Let a be (-1 - -1 - 2) + -59. Sort -5, a, i in decreasing order.\nAnswer: i, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3426.36 - -151.86. Round s to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -9\/735170 and -85\/104.\nAnswer: 38228840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.07*-3187.\nAnswer: 223.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -243.35 (b) -1\/13 (c) -3\/10 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10 + -6. Suppose 15 = 3*l, 3*s - p*l - l - 104 = 0. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:33 PM and 10:59 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = -393 + 836. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 137*z + 5880 = 105*z - 136*z for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:59 PM and 6:14 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 450483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1116388 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 60*f. Let v(u) = -u. Determine 45*v(d) + x(d).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 2 + 3 + 2 - (3 - (0 - -7))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -5, -1, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -4\/5, -268, 0.2?\nAnswer: -268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1494.20979 + -33?\nAnswer: 1461.20979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2407?\nAnswer: 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 62404579901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1879 is divided by 506.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the third derivative of -1\/315*d**7 + 1\/45*d**5 - 1\/72*d**4 - 1\/9*d**3 - 1\/1008*d**8 + 0*d + 1\/180*d**6 + 0 - 15*d**2. What is s in g(s) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -45663889339 + -1\nAnswer: -45663889340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.043 and 331.\nAnswer: 14.233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v**2 + 2*v - 35. What is i(0)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/(-24))\/(2397\/(-102))?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 97\/6091420 and 68\/11878269.\nAnswer: 237565380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/56 + (-1236)\/(-336). Let z(p) be the first derivative of 0*p + 9 - 5\/3*p**3 - c*p**4 - 3*p**5 - 5\/6*p**6 + 0*p**2. Suppose z(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -17 + 39. Solve 2*z = -3*u - 23, u + 3*z + c = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -85*u + 83*u + 26 = 0. Let a be (-783)\/(-12) + (-2)\/8. Calculate the highest common divisor of u and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 21634702 and 4958.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1531517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -140742527*d**4 - 22400065?\nAnswer: -562970108*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 39 divide (-11)\/(55\/36660)*(2 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -x - 5. Let g be a(-5). Solve z + z - 10 = g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2730 and 10972?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 4*f**2. Suppose 3*g - z - 2 = 0, 4*z - 22 = -g - 2*g. Let v(q) = -5*q**g - 107173*q + 107173*q. Give v(a(r)).\nAnswer: -80*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 9 * -122.\nAnswer: -1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 4925000 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2366?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42*f**3 + 40*f**3 - 4*f - 84*f**3 + 4*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*d + 4*d + 15 - 14*d + 15.\nAnswer: -d + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**3 + 9*k**2 - 19*k - 78. Suppose 2*n + n + 1683 = 0. Calculate the remainder when n\/(-27) - 6\/(-27) is divided by j(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = -4*j + 180, 7*t - 75 = -2*j + 2*t. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*l**2 + 531*l - 1050.\nAnswer: -3*(l - 175)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2, -4\/5, -4, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -431\/1022 + -1\/146. Let k = 0.4 + -0.3. Let l = 2\/49 + -53\/98. What is the nearest to k in -4, l, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(22)\/(sqrt(98)*1) - (sqrt(121)\/sqrt(99) + -5 + sqrt(176)).\nAnswer: -88*sqrt(11)\/21 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 6*w + 1. Calculate the remainder when 13 is divided by x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(13 + 4 - -2). Suppose 7 = 46*b - 53*b. Which is smaller: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*a + 8172 = -7828. What is the hundreds digit of 3 - (a\/(-5) + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 - -10. Solve -3*o = -o - m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 93674719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 545510.52 nanoseconds in hours?\nAnswer: 0.0000001515307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + -3 + ((3*sqrt(352))\/sqrt(11))**2*1.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1.55815 + -1.546. Round n to four decimal places.\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -858, -1716, -2574, -3432, -4290?\n\"Answer: -858*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -53 - -57. Let j be 5*(0 + 3)\/3. Suppose t + 31 = b - 5, -j*b - 3*t = -148. Calculate the greatest common factor of b and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 5*d = -3, -3*s + 5*d - 2*d = -3. What is the highest common factor of s and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 70952000 to the nearest 1000000.\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at most as big as 1749\/27815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be 88\/(-66)*(-6)\/4. What is the tens digit of 1\/f*-6 - -29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1188130*m**3 + 32292658*m**2.\nAnswer: -7128780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9305564 is divided by 186111.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*s + 11 - 23. Let z = 1\/101 - -163\/3939. What is the smallest value in z, s, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -15 + (-962)\/(-65) + (-46)\/(-5). Calculate the greatest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 740894\/33 - 23\/69?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/11, 3, 3\/5, -6, -18?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from culimimmmmcmmlpmc.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/a**(4\/7)*((a*a*a**(-1))\/a)\/a)**(-1))**41 assuming a is positive.\nAnswer: a**(164\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.37 and 32476?\nAnswer: 32475.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -18*h**3 + 3*h**2 + 7*h - 2. Let s(w) = 27*w**3 - 4*w**2 - 11*w + 3. Give 5*s(v) + 8*x(v).\nAnswer: -9*v**3 + 4*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 - 81\/30)\/(4419\/(-41244)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2, 3, 121?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 2*i - 3 = -1, -4*y + 12 = -i. Suppose 3*f + 13 = -2. Let h(l) = 2*l + 10. Let o be h(f). Solve o = -y*v + 3*v - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s**2 + 8*s - 10. Let q be o(2). Suppose 4*d - 3*d - q = -3*x, 0 = 2*x - d + 7. Suppose 0 = 2*r - r + 1. Do r and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 310 minutes before 10:19 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from {y: 1, i: 8, l: 9, q: 2}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 6958135093 to the power of 1\/3, to the nearest integer?\nAnswer: 1909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(88)*-2)\/sqrt(8) - (-3 + 0 + sqrt(11)))**2.\nAnswer: -18*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -d**3*f*x + 18*d**2*f**3*x + 2*d*f**3*x + 4*d*f**3 - 23*d*f*x wrt d?\nAnswer: -6*d*f*x + 36*f**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4023 - -23796. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1 + 0)*(2 + (-6)\/1). Is k\/28*-2 - 39245\/(-35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 8c - -3?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 41 a factor of 2620691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 41351856521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 + 14 = s. Suppose 532 + 0 = s*o. Calculate the greatest common divisor of 38 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in 1, -1, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 670, 716, 762, 808, 854?\n\"Answer: 46*r + 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**1*y)**(-8\/5)\/(y\/(y*(y\/y**3)\/y)*((y**(1\/7)*y)\/y)\/y*y))**(-37) assuming y is positive.\nAnswer: y**(8214\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 66\/13, 16, 2\/5, 1\/4 in increasing order.\nAnswer: 1\/4, 2\/5, 66\/13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = 459 + -461.13. What is y rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 14*j - 2893 - 2231. Does j = 368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 28*4\/16 + 3*-1*8\/6. Suppose -2\/9*n**z + 0*n - 4\/9*n**2 + 0 = 0. What is n?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = 4, b + 2*b - 28 = 5*a. Suppose 0 = m - b + 3. Suppose -m*p + 20 - 2 = 0. Solve p = -h - h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -526 (b) 39 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 6, -4, -148, 8, 4 in ascending order.\nAnswer: -148, -5, -4, 4, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 105 (base 9) to base 12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/7, -0.4, -2\/13, -5\/6, 1\/5 in increasing order.\nAnswer: -5\/6, -0.4, -2\/13, 1\/7, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 12 (b) 207 (c) 1\/2 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q be 40\/16*2 - (-1 + 6). Sort 18, q, 5 in increasing order.\nAnswer: q, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -12963, -12962, -12961, -12960?\nAnswer: -12959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 28*d - 32*d. Let g(j) = 6*j - 3. Let f be g(d). Solve 5*u - q + 15 = 0, -f*q - 14 = 2*u + 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 + 0. Let i = v + 1.5. Sort i, -0.1, -3\/5 in decreasing order.\nAnswer: i, -0.1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 79 = 55. Let g = 45 + -80. Let n = f + g. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 10 = -8. Calculate the lowest common multiple of (570\/(-60))\/((-1)\/(4 - (2 - 0))) and p.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7605792791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) be the second derivative of -h**8\/1680 - h**7\/168 - h**6\/90 + 2*h**3\/3 - 11*h. Let s(i) be the second derivative of q(i). Factor s(b).\nAnswer: -b**2*(b + 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = -21*f + 19*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 86429, 345700, 777811, 1382756, 2160529, 3111124?\nAnswer: 4234535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -2*k + 56342, -41*k - 84517 = -44*k + 2*p. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 e when three letters picked without replacement from ieiiieeiiiii?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -40, 10, -1, 2 in decreasing order.\nAnswer: 10, 4, 2, -1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.8 * 8709.\nAnswer: 15676.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(5) + 0 + sqrt(5))*4 - (-6*1*sqrt(5) + ((sqrt(10) - sqrt(20)\/sqrt(2))\/sqrt(2) + sqrt(5))**2 + sqrt(5)).\nAnswer: -19*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -184? (a) -1\/4 (b) -0.3 (c) 0 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.34 - -0.06. Let o = v - 2.5. What is o rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -676 + 677. What is the hundreds digit of o\/(13\/(-26))*(0 + -137)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 548564.\nAnswer: 2, 29, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -11*z + 12*z + 6 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, x: 1, p: 1, g: 2}. What is prob of sequence xp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 7*i + 7. Let p(v) = 1. Let u(t) = -6*p(t) + w(t). Let l be u(-1). List the prime factors of (l\/4)\/((-6)\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {f: 6, w: 1, u: 3, k: 2, i: 2}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -153 divided by 4003\nAnswer: -153\/4003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(39)\/(sqrt(18)\/(sqrt(6)*3)) + (5*(sqrt(104) - (sqrt(104)*-2 + sqrt(104) + sqrt(104) + sqrt(104))) - sqrt(104))\/sqrt(8))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 12*q - 28*q**3 - 27*q**3 - 13*q**3 + q**2 + 36*q**3 wrt q.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 427*d**3*z**4 + d**3*z**2 + 235*d**3 - d**2 wrt z.\nAnswer: 1708*d**3*z**3 + 2*d**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1023480 and 690?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*i**4 + 0*i**3 + 0*i**3)*(4677 + 5153 - 290) to the form n*i**3 + v*i**4 + a*i**2 + u*i + s and give v.\nAnswer: -28620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 247 - 322?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -15 + 12. Let f be ((-15)\/(-10))\/(i\/(-8)). Suppose 4*l + 3*s - 124 = 0, l = -s + f*s + 31. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2)\/(-7) - (-132)\/28. Let a = y + 0. Calculate the common denominator of a\/(2 + 80\/(-38)) and 85\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16994887963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2*(-2)\/18 - 0. Let j be 3\/30*6 - (-42)\/(-60). Which is smaller: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 14*f + 28*f**2 + 156301 - 7*f - 156301 as b*f + z + n*f**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = -4*r + 1040, -k = -5*r + 1207 + 113. What is the remainder when r is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 46805 by 5.\nAnswer: 9361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by 66569?\nAnswer: -5\/66569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1747320 rounded to the nearest 10000?\nAnswer: 1750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = -4*c, -2 = -11*z + 8*z - c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5*f**2*m**3*q + 15*f**2*m**2*q**2 - f*m**3 - f + m**2*q**2 + 3*m**2*q wrt f.\nAnswer: -10*m**3*q + 30*m**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -140 = -5*a + n, -3*n = -0*a - 2*a + 56. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -20 - -53. Let x = 33.00068 - p. What is x rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/d**1)**(-19)*d**4\/d*d**(-2\/5))\/((d**(-6)*d*d)\/d**(-6\/11))**(-41) assuming d is positive.\nAnswer: d**(-7647\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -12 (b) -2 (c) 0.4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2)\/(-2*(-4)\/(-52)). Suppose 2*o - 4*d = 158, 3*o + b*d = 15*d + 225. Calculate the remainder when o is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Let m be (1 + -1)*5\/10. Suppose 0 = -m*n + n + 3. Let p be (0 - n)*4\/(-6). Let s(d) = -2*d**2 - 4*d - 2. Give s(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 43154923 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:50 AM and 2:50 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1 (b) -1\/9 (c) -1\/4 (d) 48 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 31993 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a - 2*p + 4, 0 = 5*p. Let i(x) be the first derivative of 1\/2*x**a - 1 + 0*x - 1\/3*x**3 + 0*x**2. What is the third derivative of i(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 4*x - 6 = 0. Suppose x*l - 3 = 19. Let w = -1 + 4. What is the smallest common multiple of w and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1591 - 265 = -193*w - 203 + 1049 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that 3*g**5 - 513*g**4 - 33006*g**3 - 31974*g**2 + 33003*g + 32487 = 0.\nAnswer: -49, -1, 1, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7\/61? (a) 0 (b) 0.2 (c) 3 (d) -7\/3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tth when three letters picked without replacement from nfttthnjnnwwftnjn?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -25.9 - -24. Let z = -430 - -427. What is the closest to -1 in z, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 - 3\/7*z - 3\/7*z**2 = 0 for z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the third derivative of u**5\/20 - u**4\/4 + u**3\/3 + u**2. Let g(y) = -2*y**2 + 5*y - 2. Give -4*c(s) - 5*g(s).\nAnswer: -2*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -67\/46376 and 55\/105859544.\nAnswer: 1164454984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 282647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = 12 + -13.8. Let z = p - -2. Let o = z - 0.6. Which is the third smallest value? (a) o (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:06 PM and 5:42 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 13325675 to the power of 1\/2, to the nearest integer?\nAnswer: 3650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 9034409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 4*k**2 + 2*k - 1. Let y be i(1). Suppose 4*q + y = 37. Solve -5*d - q - 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d**2 - 10*d - 60. What is b(19)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let -2*d**4\/25 - 19106*d**3\/25 + 38218*d**2\/25 - 3822*d\/5 = 0. Calculate d.\nAnswer: -9555, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12710574, 12710553, 12710510, 12710439, 12710334?\nAnswer: 12710189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.2 - 3.8. Let v = -8.6 + 7. Let m = v + 1.5. What is the third biggest value in -1\/4, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*b*o**2*v**3 + 3447960*b*o**2 + 44628*b*o*v**2 + 7*b*o + b*v**3 wrt o.\nAnswer: 4*b*v**3 + 6895920*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4)\/(-6) - 12008\/(-2400). Let z be (1 + 45)*2\/(-16). Let u = i + z. Is -1\/4 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**7)**(-1\/32)*d**(-7\/4)*d\/(d\/((((d\/d**(-14\/3))\/d)\/d)\/d)) assuming d is positive.\nAnswer: d**(67\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11001010001011001110 - 10011?\nAnswer: 11001010001010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -83059 or -85062?\nAnswer: -83059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 1 = 1. Let s be 30\/(-108)*3 + (-21)\/(-2) - 7. Factor s*n**3 - 28\/3*n + 2 + 14\/3*n**m.\nAnswer: 2*(n - 1)*(n + 3)*(4*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c - 47 = -72 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 7 (b) 2\/11 (c) 0.11 (d) 0.5 (e) 0.14 (f) -477\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -464*c + 1660*c + 12634 = -68716 - 4762 for c.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 3, d: 6, o: 4}. What is prob of picking 1 o, 2 r, and 1 d?\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-15)\/(-4)*568\/(-213)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be (8\/24)\/((-2)\/852). Let y = v + 354. What are the prime factors of y?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 33652 and 1222.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10100100001100 + 10110?\nAnswer: 10100100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -5*c - c. Let t be (-2)\/c*-1*-2. What is the first derivative of 70*w**t - 35*w**2 - 15 + 25*w**3 - 35*w**2 wrt w?\nAnswer: 75*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(187)*-1 - sqrt(187)) + sqrt(187)*2*5)\/(sqrt(22)\/(-2*sqrt(2)) + 2*sqrt(891)).\nAnswer: 8*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + (-8 - 29) + 8 - 1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.55157, -35, -3 in descending order.\nAnswer: 0.55157, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(2\/9))**14\/(p**(2\/9))**(5\/8) assuming p is positive.\nAnswer: p**(107\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(2 + -2*sqrt(76) + -1 + sqrt(76) + 3)*4.\nAnswer: -32*sqrt(19) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 44277.35 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**2. Let s(m) = 12*m**2 + 8*m - 14. Let c(t) = -4*t**2 - 3*t + 5. Let j(p) = 11*c(p) + 4*s(p). Determine 6*d(a) + j(a).\nAnswer: -2*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -501 - 1?\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - x + 0 - 4*x + 5*x - 2*x + (-2*x + 4*x - 4*x)*(-2 - 3 + 3) + 0*x + 3*x - 5*x + x - 3 + 3)*(-47 - 51 + 26).\nAnswer: -72*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*u - 4*c + 80, 4*c = -2*u + 9*c + 98. Suppose u*h - 45*h = -9. Put 1, -4, h in descending order.\nAnswer: h, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -166 divided by 47.\nAnswer: -166\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 2*b**2 - 8*b + 9. Let p be z(4). Suppose 12*d = p*d + 90. Calculate the highest common factor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/v**(2\/7)*v)**(-12\/5)*(v*(v\/v**(-3))\/v*v)**(-22) assuming v is positive.\nAnswer: v**(-3994\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 380*l*o - 7*l*v - l + 10*o*v**2 + 92*o*v + 79*o - 1 wrt v?\nAnswer: -7*l + 20*o*v + 92*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (12*u + 1 - 20*u + 5)*(2 + 3 - 6) to n*u + p and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 341 (base 10) to base 9\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = k**3 - 5*k**2 - k - 5. Let v(w) = -2*w**3 + w**2 + w + 2. Let s(p) = l(p) + v(p). Let d(h) = -h**3 + h**2. What is 4*d(i) + s(i)?\nAnswer: -5*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that 6*l**5\/7 + 730*l**4\/7 - 125852*l**3\/7 + 36952*l**2\/7 + 834192*l\/7 + 502272\/7 = 0.\nAnswer: -218, -2, -2\/3, 3, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of 44731 and -1.\nAnswer: -44731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3*(-4)\/6*(-39)\/6. Suppose t = r - 34. Calculate the remainder when r is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = 34*p - 38*p, -3*p - 36 = -6*o. Let h(z) = -3*z**3 - 2*z**2 + 12*z + 2. Let q(w) = -13*w**3 - 9*w**2 + 49*w + 8. Calculate o*h(f) - 2*q(f).\nAnswer: -f**3 + 10*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = 868.7 + -868. Which is the biggest value? (a) 5 (b) l (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 325070 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -4*f**2 + f - 2. Let l be k(-2). Let x = -4911.4 - -4911. What is the closest to x in 2, l, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = 6 + 2. Suppose -y - 66 = -q*h, 4*h = -y + 38 + 32. Calculate the greatest common factor of h and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41099?\nAnswer: 73, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 147*k + 1653 = 150*k. Suppose -4*f - h = -3505, 2*h - 1197 = -2*f + k. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y + 30 = 0, -3*y - 9 = 3*l - 4*y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*s + 105 = 1. Let i(h) = h**3 - 4*h**2 + 5*h - 2. Determine i(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -85*l + 190*l + 325*l = 7740 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 3.1 times -12041\nAnswer: -37327.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1398 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:46 AM and 11:26 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -0.043 (b) -0.12 (c) -2\/9 (d) 2\/3 (e) -3\/7 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*y + 2 + 10. Suppose 3*t + 9 = 0, -y*o + t + 331 = -2*o. Calculate the smallest common multiple of o and 6.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 42, 81, 118, 153, 186?\n\"Answer: -o**2 + 42*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/(-36) + (-58)\/(-261).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 92868*l. Let b(y) = -17*y**2. Calculate b(h(w)).\nAnswer: -146615912208*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from {a: 1, j: 3, e: 4, f: 1, t: 9}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -174697720 to the nearest one million.\nAnswer: -175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -59 + 56. Let b(f) = 2*f**2 + 3*f + 2. Let t be b(-2). Sort 2, z, t.\nAnswer: z, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(35)\/(sqrt(5)*-1) + sqrt(7) + 0 + sqrt(14)\/sqrt(2))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((1363\/(-47))\/(-1798))\/(12\/186).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 329 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 4 + -5 + 101*4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 17*r**2 + 16*r**2 + 35 - 3*r**3 + 6*r**3 - 30 to t*r**2 + b + o*r**3 + g*r and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q + 5*y + 5 - 27 = 0, q + 5 = 4*y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*k + 80*k - 9*k = 1751 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7 + -6.7. Let x = 0.67 + -0.7. Put x, -4, v in decreasing order.\nAnswer: v, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from kkkdfkfkokfdokkdo.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -40264666 divided by 2?\nAnswer: -20132333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/(-8) + (-16)\/(-64). Solve w = 3*s - 2*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:55 AM and 9:29 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eljee.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = -207 - -212. Let l(h) = -h**3 - 4*h**2 - 3*h + 3. Let v be l(-3). Sort q, v, -3.\nAnswer: -3, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + i = -22, 10*i + 8 = 6*i. Suppose 6*r - 85 = r + b*l, 76 = 5*r + 4*l. Solve 12 = p + r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3\/5*h**2 + 1476*h + 907740.\nAnswer: 3*(h + 1230)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2248913*d**5 + 1191409*d**2 wrt d.\nAnswer: 134934780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -196*a**4 - 3*a + 713 wrt a.\nAnswer: -784*a**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 53 bigger than 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 9*w - 2. Let r be l(-4). Let z = r - -99. Suppose z - 5 = 5*a - 2*m, -4*m = -a + 4. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w such that -2*w**4\/15 - 1276*w**3\/15 - 3238*w**2\/3 + 2500*w = 0.\nAnswer: -625, -15, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4)\/14 - 484\/(-28). Let f(u) = -17 + u + d. What is the lowest common multiple of f(4) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((2\/162)\/((-1551)\/18612))\/2\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 34554 divided by -8?\nAnswer: -17277\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1526 and 1 + 82416\/18 - (-11)\/(-297)*45.\nAnswer: 4578","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 540*u**4 + 2*u**3 + 3*u + 2*u**2 + 546*u**4 + 19 + 0*u**3 - 1094*u**4 in the form y*u**3 + j + s*u**2 + v*u**4 + f*u and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 3 = 3. Suppose -5*a = 3*k - 7, k + 4*a - 3 = 2*a. Let j be (-16 - -13) + (4 - k). Solve -s = 3*b - j*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (732\/(-610))\/(42\/(-175))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 6\/(-4) + 27\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:09 AM and 8:50 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 2*b**2 + 7*b + 5. Let j be n(-4). Let g(o) = 5*o - 9. Let r(i) be the third derivative of i**4\/12 - 2*i**3\/3 + 16*i**2. Calculate j*r(m) - 4*g(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g**2 - 12*g + 14. Let w be h(11). Let n = 1 - -3. Let z(u) = 1 + n*u**2 - u**3 - 3 + 6 - u. Give z(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -9\/18860254 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 142*m**3 - 62*m**3 + 6067*m - 6067*m - 68*m**3.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from bbcfwc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = -42877 - -3859079\/90. Calculate the common denominator of m and -143\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 41 and 418651.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 37624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 2, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6644055 and 297495.\nAnswer: 19932165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -18*o + 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -54074, -107365, -160646, -213911, -267154?\nAnswer: -320369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2613 + -2611. Solve -9 = -3*o - 2*q, -2*o + q = -3*o + m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2364 - 1026. Suppose 5*f - 1093 = q + 2252, -p = -2*f - q. Is f a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 6001 + 1?\nAnswer: 6002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 38763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let -31453932*u**3\/5 + 31395648*u**2\/5 + 58257*u\/5 + 27\/5 = 0. What is u?\nAnswer: -3\/3238, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = 67 - 57. Suppose d = -i + 4*x + 45, 3*i - 121 = -4*x. Calculate the remainder when i is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 397716 and 428582?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*t + 68 + 12. Calculate the remainder when 32 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j**3 - 5*j**2 - 4*j + 7. Let z be (2 - 7 - -3) + 4. Suppose -z*l = 3*l - 25. Let x be d(l). Round x to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (15\/(-21))\/((-1)\/70*5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = -n - 222. Let z = 78 + n. Factor -20*b**z - 18*b**4 - 90*b**3 - 101*b**2 - 5*b**5 + b**2 - 40*b + 3*b**4.\nAnswer: -5*b*(b + 1)*(b + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -0.3, 0, 5\/7, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 49 = -3*y, -8*y + 4*y = 5*x + 77. Let k(l) = -2*l + 22. Let z be k(y). Suppose -2*a - 10*a = -z. Let q(p) = 2*p - 5. Calculate q(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 600 and 408000?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 2 - 4)*(4 - n - 4)*(-10*n**2 + 4*n**3 + 10*n**2) + 1 - 3*n**4 - 1 to c*n**2 + r + h*n**3 + s*n**4 + y*n and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = -696 + 696. Let m = 2 - -1. Suppose g = t + 5, 1 = q + m*t + 16. Solve q*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 259*c**5 - 526*c**3 - 2*c**2 - 1081898*c wrt c.\nAnswer: 15540*c**2 - 3156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 6*u**2 - 2*u + 3. Let z(r) = -3*r + 9. Calculate the remainder when l(-5) is divided by z(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - h + 1002310 = -329690, 0 = -h. What is x rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(143) + 5*-2*sqrt(143) + sqrt(143) + (sqrt(143) - sqrt(143)*1*-5 - sqrt(143)))\/((sqrt(1584) - sqrt(1584)*-3)*3).\nAnswer: -4 - sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 767237 + -355?\nAnswer: 766662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 23 + -50?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:56 PM and 12:51 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 390, -1\/3, 2, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4634 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 149688 and 123816.\nAnswer: 10029096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**11)**10 assuming s is positive.\nAnswer: s**110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 10043582 to the power of 1\/2, to the nearest integer?\nAnswer: 3169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 1273844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**3 - 10*z**2 - 9*z + 3. Let i be v(-9). Suppose -3*n + 5*n - i*a = 0, 5*n + 2*a = 19. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0 + -1. Let s = i - -9. Let v = 10 - 7. What is the lowest common multiple of v and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 7\/4 of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.48401658 + -1.484. What is a rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3b - 1324?\nAnswer: -12c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9*i**4*x**2 + 736*i**4*x + i**2*x**2 + 393*i**2 wrt i?\nAnswer: 216*i*x**2 + 17664*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that 2*v**4\/9 - 61004*v**3\/9 + 155204278*v**2\/3 - 6509614832*v\/9 + 22773194528\/9 = 0.\nAnswer: 7, 15244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k = 3*t + 6 - 30, t - 28 = 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -213477 by -6.\nAnswer: 71159\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2131632 divided by 1048.\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (t**2 - 2*t**2 + 3*t**2)*(-3104*t + 3104*t + 111*t**2) + (4 - 1 - 4)*(-19*t**4 - 67*t**4 + 126*t**4).\nAnswer: 182*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 53654\/(-6255) + (-4)\/18 - (-99)\/11.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 2*j**2 + 12*j - 8. Let k be r(-6). Let d = 3 - 7. Let t be k\/28 - d\/14. Solve t = 2*c - 4 + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 34155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 205*v**3 + 4*v + 4*v - 8*v.\nAnswer: 205*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*d - 4*d - 7*d + 23*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -23 + 11301?\nAnswer: 11223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 9}. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/4 - (-102)\/12. Let c be (12 + -4)*(4\/2 - 1). Let a = c - k. Put 1, 3\/5, a in ascending order.\nAnswer: a, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 403329683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/4, -2\/3, 6, -1\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 855301174.\nAnswer: 2, 7, 13, 53, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -316*y + 15 = -331*y. Suppose 11*h - 25 = 6*h. Which is the nearest to -1? (a) h (b) y (c) -0.2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o - o + 64 = 0. Suppose i - 5*i = -o. What is the highest common divisor of i and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -2*s**2 - s + 2. Suppose 0 = 12*j + 10 - 34. Let t be i(j). Let p be ((-2)\/8)\/(t\/16)*10. Solve 0 = 3*o - p*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 15*i**3 + 20*i**2 + 151*i + 254. Give z(-3).\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 61\/2 of a decade in years?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*w**4 + 36*w**3 + 100*w**2 + 108*w + 40.\nAnswer: 4*(w + 1)**2*(w + 2)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vgvgggggggvvv. What is prob of sequence vvgv?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i**2 - 6*i + 6. Let o be h(5). Let n = o + 8. Suppose n*m = 4*m + 3*k - 5, 3*k = -m + 17. Solve 2*z - 12 = 5*x - m, -2*z - 2*x = 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 280662\/150009 - (2 + 4)\/3\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 181.92 - 178. Let z = -0.08 - f. Let i = 0.3 - 0.5. Which is the smallest value? (a) i (b) 2\/15 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 - 1. Let d(c) = 4*c - c + w*c - 2*c. Let v(l) = 2*l**2. Determine v(d(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 406*b**2 - 201*b**2 + 8 + b - 37 - 56 - 208*b**2 in the form s*b + q*b**2 + l and give l.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*r + 1388 - 6745 = 0. Suppose 0 = 6*i + 31 - r. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 103 + -108. What is the closest to 0 in -0.1, m, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j - 4*p = 24, -40095*j = -40100*j - 109*p - 84 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand 24 - 811*z - 94 + 36 + 31 + (1 + 2 - 4)*(2*z + 2*z - 3*z).\nAnswer: -812*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -2*r**3 + 31*r**2 + 1414*r - 22374. What is d(16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z - 1. Let g(n) = -4*n + 6. Let x(a) = g(a) + 2*t(a). Let q(b) = 11*b - 7. Let w(l) = -4*q(l) - 7*x(l). Let i(y) = -1 + 1 + y. Give w(i(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 3) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 87 - 44. Let g = n - 257\/6. Let t = -1.3 + -2.7. Put g, -5, t in increasing order.\nAnswer: -5, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - -1 - (-17 + 17) - 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -177 + 25*b**3 + 177 + (2*b - 2*b - 3*b)*(2*b**2 - 1 + 1) + 3*b**3 - 2*b**3 + 0*b**3.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.158 + 0.042. What is the nearest to a in -0.5, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -24.5154952 rounded to 2 dps?\nAnswer: -24.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the third derivative of b**8\/168 - b**7\/105 - 11*b**6\/60 + 29*b**5\/30 - 13*b**4\/6 + 8*b**3\/3 - 37*b**2. Factor d(x).\nAnswer: 2*(x - 2)*(x - 1)**3*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2115*k**2 - 787*k**2 + 1052*k**2.\nAnswer: 2380*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be -4*(-4)\/(-8)*-1. Let a be 3800*(2 - 0\/5). Suppose -i*n + a = -n. Round n to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40 minutes before 9:41 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 6577.321ns in microseconds?\nAnswer: 6.577321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**3 + 6*w**2 + 5*w + 10. Let p be y(7). Let l be 3\/(-12) + 19\/p. Is (-4)\/(-20) - 219\/l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2659 or 13289\/5?\nAnswer: 2659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 12846159 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0 - -1. Let q be (-13)\/13 + k + 3. Let m(z) = 3*z + 3. Give m(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (14\/18)\/((-5)\/(-15))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 2, v: 1, p: 2, l: 1, f: 1, g: 1}. Give prob of sequence egfl.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 + 0 + 1)*(-1 + 2 + 1) - 2 - 1 + 1 - 4 + 1 + 0 - 2 + 1 + 2 + 1 + 0 + 1)*(-2 - z - 3*z + 2*z).\nAnswer: 12*z + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 2, y: 3}. Give prob of picking 2 a and 1 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6\/(-2) + 448\/8. Let t = q - 211\/4. What is the closest to t in 1\/3, 0.1, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 16250 and 104?\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 153 = -5*p, -7*p + 3*p = 12. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/(-2) + -3 + (-57)\/6. Is 54 a factor of (-1)\/(-4) + (-2589)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 30, -5, 5, -16, -4, 7, 4.\nAnswer: -16, -5, -4, 4, 5, 7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (903\/16254)\/(-1*(2\/1)\/6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 2*g + 214 = g, j - 2*g = 68. Let n = j + -64. Let x(t) = 8*t - 5 + 2 - 3*t**2 + 2*t**2 + 0. What is x(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1\/69072 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5 - -11. Suppose 5*d = -16 + w. Let u(y) = 7251*y**2 + 2*y. Let x be u(d). What is x rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 65 in 2, 4\/7, 1.201?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 214*m - 43406. Give l(207).\nAnswer: 892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3\/5 (b) 10 (c) -8\/43 (d) 2 (e) -3\/4 (f) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -5\/4 (b) -0.13 (c) 2\/3 (d) 7\/8 (e) 11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1100.9431 and -932.0228?\nAnswer: 168.9203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 5517 (base 8) to base 10\nAnswer: 2895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-27)\/(-3) - 6) + 7. Let j(m) = 11*m + m**3 - 851*m**2 + q + 861*m**2 + 3. What is j(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -13 (base 5) to base 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 79191 is divided by 143?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 94245*i - 13. Calculate o(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8691 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 38629 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the second derivative of d**3\/3 - d**2\/2 - 51*d + 2. Let j(y) = y. Let c be j(2). Let o = c - -2. Calculate h(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8810 is divided by 679?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -338702, -338703, -338704, -338705?\nAnswer: -338706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1928869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n**2 + 4*n - 7. Let t be k(10). Let o = t + 149. Suppose -w + o = -0*w - 4*a, 2*w + 4*a - 164 = 0. What is the remainder when w is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5082085326 to the nearest integer?\nAnswer: 71289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = -10 + 13. Differentiate -x - 2 + k**4 - 4*k**4 wrt k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -658730.8 rounded to the nearest one thousand?\nAnswer: -659000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the third derivative of 4\/3*k**3 + 1\/12*k**4 - 271*k**2 + 0 + 0*k. Determine i(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 522*c - 44983. What is z(86)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) 4\/7 (b) -0.1 (c) 2\/7 (d) -14 (e) -5.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1088) + 5*-1*sqrt(1088) + sqrt(1088))**2*2.\nAnswer: 19584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-216)\/(-16))\/9)\/(15\/6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sle. Give prob of picking 1 l and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the first derivative of 5*i**3\/3 + 90*i**2 - 185*i - 248. Find v such that c(v) = 0.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 6) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = l + 6. Let y be m(-1). Let v be -2 + y*3\/((-45)\/(-6)). Suppose v = 3*o - 16 - 17. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*s + 2*o - 14 + 2, -3*o = -2*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 36632 + -36630. Solve p*z + 18 = -4*v, -3*v + 7*v = 2*z - 22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -15\/14 + 89\/70. Let g = 191 + -274.5. Let x = g - -83. Which is the third smallest value? (a) 0.3 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 373 - 2243\/6. Calculate the common denominator of r and (((-36)\/(-32))\/(-3))\/((-5)\/(-95)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -f**3\/10 - 7*f**2\/10 + f\/10 + 7\/10 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 10101111001000 (base 2) in base 14?\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 14*b. Let t(u) be the third derivative of -u**7\/2520 - u**4\/4 + 38*u**2. Let h(n) be the second derivative of t(n). Determine h(y(r)).\nAnswer: -196*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4 - -8. Let d = -1 - -21. Suppose 0 = -5*m + 3*l + 16 + 20, 2*l - d = -t*m. Solve -3*o = 4*k, o = m*o - 2*k + 26 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-391468)\/(-41943)*(0 + 18\/(-4))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -2*w**3 + 38*w**2 + 10*w + 599. Calculate h(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -9, 0.21, 2\/15?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -8*u + 6*u - 4 - 1. Let y(l) = -l - 2. Suppose 2*w = -4, 18 = -5*a + 3*w - 2*w. Let c(f) = a*z(f) + 10*y(f). Let k(s) = -s**2. Give c(k(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 727 is divided by (-20)\/(-90) + 4088\/72.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 9, x: 5}. What is prob of sequence gggx?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 16, 0.3, -0.01693?\nAnswer: -0.01693","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 140806194 to the power of 1\/2, to the nearest integer?\nAnswer: 11866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-11737)\/277816 - 4\/(-8)*(-24)\/(-492)\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6032821 is divided by 1508197.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -21311945 in -1\/3, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -868, -628, 30, 1310, 3416?\n\"Answer: 34*l**3 + 5*l**2 - 13*l - 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in -1, 0.026, 1, 3?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -c**2 - 4*c + 660. Let q be o(0). Suppose 0 = 5*h - 5*g - 660, 5*h - q = -8*g + 5*g. Calculate the greatest common divisor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2202 + 9*z + 2204 + 39*z to q + f*z and give f.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40487126 is divided by 207?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57440 = 3*v + 4*x, 0 = 2*x - 0 + 8. Let q = 268243\/14 - v. Calculate the common denominator of q and 2 + 4 + (-138)\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -19*y**6 + 2*y**5 - 22*y**4 - 2*y**2 + 54 wrt y.\nAnswer: -2280*y**3 + 120*y**2 - 528*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*y - 382 = -2191. Which is greater: y or -202?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20022 is divided by 2501.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 2*q + 0*q = 12358, -2*g - 3*q + 4928 = 0. Is 130 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is c6bd1 + -2?\nAnswer: c6bcd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n be (10\/(-4))\/(1\/(-2)). Suppose 11 = n*j - 34. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4*a**3 - 90*a**2 - 364.\nAnswer: 12*a**2 - 180*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the third derivative of r**4\/3 - 7*r**3\/3 - r**2. Is o(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 2, b: 10, r: 4, h: 2, z: 1}. What is prob of sequence rzhh?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 928629?\nAnswer: 3, 13, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 38*q**2 + q - 261. Does 14 divide v(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the first derivative of -24*m**3 - 166*m - 220. Differentiate q(g) with respect to g.\nAnswer: -144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -221258 (base 13) in base 10?\nAnswer: -802316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ccrrcnrnc. Give prob of sequence rrn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) 305 (b) -1.2 (c) 0.01 (d) 1 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4916 + 4894.17. Let g = h - -22. Round g to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -24*v**2 + 68*v + 68. Let z(y) be the first derivative of -y**3\/3 + 3*y**2\/2 + 3*y - 15. What is -6*d(m) + 136*z(m)?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*r - 187 - 53. Solve 4*u + 0*u - r = 0, 3*t + 2 = -2*u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -202, -4374, 0 in descending order.\nAnswer: 0, -202, -4374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 508385 is divided by 254173.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7760*-0.04.\nAnswer: -310.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/5, -1, 2\/3, 21, 11\/46, -0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 108*z**2 - 8*z + 6. Let g be ((-2)\/10*(-15 - 0))\/(-3). Let a(v) = v**2 + v + 2. Let i(h) = g*d(h) - 8*a(h). What is the derivative of i(w) wrt w?\nAnswer: -232*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = o**3 + 14*o**2 + 16*o + 8. Calculate d(-13).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 7*(21\/(-49))\/(18\/78)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 195.6588126 rounded to 0 decimal places?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = -277.53 + 277. Let m = f + 0.529917. What is m rounded to six dps?\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + 0 + 3 + 7 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 281 times 0.1\nAnswer: 28.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) 5 (c) -3 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n = 11*v + 12, -v + 15 = -4*n - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 30\/7 of a week in days?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4*(-1 + 89)*1*4. Let r(c) = -11*c**2 - c. Let d be r(-2). What is the tens digit of m\/(-33)*d\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17, -40, -63, -86, -109, -132?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1601078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 6.119841cm in kilometers?\nAnswer: 0.00006119841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.044449 + 196.616551. Let h = o + -196. What is h rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -2*p**3 - 5*p**2 + 2*p - 8. Let o be i(-4). Calculate the highest common divisor of o and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -74 + 8 + -13 + 8 + (-4 - 17 - -11).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:44 AM and 6:54 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5 and 8465.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 129*g - 192*g + 441 = 0. Solve -3*c - 44 = -2*d - 57, -c = 2*d - g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((((sqrt(42) - ((sqrt(252)*-1)\/sqrt(6) - sqrt(42))) + 3*sqrt(672))\/(-4*sqrt(72)\/sqrt(3)))**2 + -5).\nAnswer: -1255\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = s - 2*y - 87, 4*y = 3*s - 128 - 139. Suppose -25 + s = 4*m. Calculate the smallest common multiple of m and 9.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - (-2 + 0 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.95 + 0.05. Suppose 13*w - 6*w = 0. Which is the smallest value? (a) k (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-10)\/8*(-1328)\/2490)\/((-50)\/(-12)).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1927 or 1916?\nAnswer: 1916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -1202120121 (base 3) to base 8.\nAnswer: -103574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1400\/(-392)*7*(-1)\/(-6)*2.\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 0*i**2 + 10*i + i - i**2 - i**2 - 7. Let a be p(4). Suppose -d = -a*b, 5*d - 14 = 3*b + 8. Solve d*x + j - 7 = 0, -3*x + 16 + 2 = -4*j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -32*m - 3. Let s(n) = -1537*n - 145. What is 145*f(d) - 3*s(d)?\nAnswer: -29*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 312911 is divided by 369?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 844 (base 12) to base 10\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5965813153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**3 - h**2 + 2*h + 3. Suppose 13 = -4*g - 15. Let d be g\/3 + (-1)\/(-3). List the prime factors of l(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 444\/45 - (-6)\/(-15). Let t = -39\/5 + j. Which is the smallest value? (a) t (b) -0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**4\/3 + 49306*f**3\/3 + 304402256*f**2\/3 + 2123573984*f.\nAnswer: 2*f*(f + 21)*(f + 12316)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = p**3 + 19*p**2 - 45*p - 63. Let c be n(-21). Let i(h) = -4*h**2 + 5*h**2 + c*h**2 - 2*h**2 - h**2. Let q(v) = v**2. Calculate q(i(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/5*(-6)\/(-12)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1120212011200 (base 3) to base 16\nAnswer: -cdf3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 154080 divided by -3?\nAnswer: -51360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is (2 - (4 - 4)) + 327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 667*s - 662*s - 25 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 97*q + 1115. What is the thousands digit of t(48)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nnnnnnzz. What is prob of sequence nzz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 64262 (base 8) in base 2?\nAnswer: 110100010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vhdpbbqvbpvbqbb. What is prob of picking 1 b and 1 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8.7*20056.3.\nAnswer: -174489.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 161 - 167 - ((26 - 2) + 0 + -4).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:00 AM and 8:46 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is e2 + 1?\nAnswer: e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, -97636.54, 4 in ascending order.\nAnswer: -97636.54, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.6 in -1, -2, 0.05, 20, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4, 2139, 3, 2\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2208703 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -16 + 24. Suppose 5*j = 4*n - 0 - 13, -5*n + y = 2*j. Solve 0 = n*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in 5883\/26, 0.3, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -103 (base 5) in base 15?\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -2*t**2. Let n(d) = 542*d - 13. Let r(v) = -271*v + 6. Let a(w) = -6*n(w) - 13*r(w). Calculate a(x(f)).\nAnswer: -542*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4 and 1118.\nAnswer: -4472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, b: 3, r: 2, w: 1}. Give prob of picking 1 r and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*b = -30 + 30 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 88069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-26 - -27) + 10 - (-36 - -7).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -18 (base 16) in base 9?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - r - 13, -4*j = 3*r - 35 + 14. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7181 = 47*x + 6993. Let j = -0.2 + -0.3. What is the fourth biggest value in j, x, 1\/13, 1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let w = 55391737\/612 + -1548534\/17. Let s = -2329\/4 - w. What is the common denominator of (84\/(-16))\/21 + (-157)\/(-72) and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4d (base 14) to base 13.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2d + -3285?\nAnswer: -32b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 20063039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 5799080 a multiple of 596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-37 - -45 - -2) + -2 + (1 - 2). Sort q, 2, -191.\nAnswer: -191, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -4*l - 3. Let g be q(-2). Suppose -5*k + 47 = 12. Let s = 7 - k. Solve -2*o + g*u = -11, 5*o = -2*u - 16 - s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 0*g + 2*g + 18 = 0, -3*g - 6 = -n. Let c be ((-222)\/(-8) - 2) + n\/(-12). What is the greatest common factor of c and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*u - 6*u + 2*u)*(3 + 9*u - 2 - 16*u) as a*u + w + j*u**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 + -1)*-1*2. Let i(y) = -y**3 + y**2 + 2*y - 3. Let k be i(w). Let f(b) = -10*b. Does 10 divide f(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 150 a factor of 3304500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2122 - 2122. Let c be (-10)\/3 + (-66)\/99. Put c, 10, b in decreasing order.\nAnswer: 10, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1294192 is divided by 188?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -3\/10 (b) 2 (c) -2\/25 (d) 5 (e) 0.1 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.1 + -2.9. Let n = f - -0.9. Which is the third smallest value? (a) n (b) 4 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 3027938 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -29\/530 + -1945013\/1590. Let w = -1234 - f. Calculate the common denominator of w and 34\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 19*n + 247. Let o be d(-13). Sort -10, 3, o, -1 in increasing order.\nAnswer: -10, -1, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -r**4 - r**4 + 0*r**4 + (0*r**3 + r**3 + r**3)*(-r + r - r) + r**4 - r**4 - 2*r**4 + 4*r**3 + 0*r**3 - 15 + 12 + 2*r**4.\nAnswer: -4*r**4 + 4*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y**4 + 0*y**4 + y**4)*(62 - 39*y - 62).\nAnswer: 39*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 11? (a) -0.5 (b) -2\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -15651 (base 7) in base 9?\nAnswer: -6080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ieiihnnxxnx. What is prob of picking 3 i and 1 x?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, k: 1, t: 1, b: 1, w: 1}. Give prob of picking 1 w and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 380 + -798075.\nAnswer: -797695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1*(50\/5075*29)\/(-20)?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -244440223 (base 6) to base 15\nAnswer: -62d2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 189010 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 3232 (base 6) to base 11\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(600)*-1)\/(2*sqrt(1728)).\nAnswer: -5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 945767256 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply -7053629 and -1.\nAnswer: 7053629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8 - -13. Let n = -8 + h. Sort 5, n, -1, 3.\nAnswer: n, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -29 and 2133943.\nAnswer: 2133914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 29538, 29537, 29536?\nAnswer: 29535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 1)*(y - y + y) + 0*y - 5*y + 3*y + 11.\nAnswer: -3*y + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = 3, 3*o + 11 = 4*t + 158. Let y = 710 + -705. What is the highest common factor of o and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1341085, 1341086, 1341087, 1341088, 1341089, 1341090?\nAnswer: 1341091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 61469.66l in millilitres?\nAnswer: 61469660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 2052 + 283761756\nAnswer: 283763808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3140 or -3016?\nAnswer: -3016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -19070496 divided by -3\nAnswer: 6356832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -z**2 + 22*z - 259. Determine q(17).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -125\/14028 and -89\/3507.\nAnswer: 14028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1137108242.\nAnswer: 2, 568554121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = -382.144 + -759845.856. Let v = p - -760196.9761. Let m = v - -31. Round m to three dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 52578? (a) 0.06 (b) 1 (c) -0.3 (d) 52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iaixmaeaieeeaee. Give prob of sequence xe.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u = 3*i + 33, 210 = -48*u + 40996*i - 40991*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-648)\/24*((-160)\/45)\/8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 381*s = -526*s + 784*s - 3198 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of a**4*n + 37609002*a**3*n + 12147*a**2 + 74*a*n - 13*n wrt a.\nAnswer: 24*a*n + 225654012*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.1156 and -4711702.555.\nAnswer: -4711702.6706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 1107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-399)\/228 - (-10)\/4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 2*d = -1. Suppose -n - 4 = -d. Calculate the common denominator of -2 + (0 - (2 + n)) and 22\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1 + -16?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -h**3 + 8*h**2 - 9*h + 9. Let q be r(7). Let y be q + 3 - (-1 - 1). Which is smaller: 3\/11 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.2 - -1.2. Let t be (-38)\/(-16) - (25 + -23). Let l be (-2)\/(-6) + 3\/(-9). What is the nearest to w in l, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 2, v: 2, l: 2, q: 2}. Give prob of sequence alq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -39*q + 88*q + 78*q + 23*q**2 wrt q.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n**3 + 45*n**2 + 133*n + 241. What is x(-40)?\nAnswer: 2921","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -330.00379 + 330. What is k rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d - 3*d + 6 = -5*d, 5*w + 55 = 439*d - 434*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let 5*w**4 - 5315*w**3 - 5350*w**2 + 31920*w = 0. What is w?\nAnswer: -3, 0, 2, 1064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -v - 2. Let u be (0 - (-3)\/(-3))*7. Let d be -1 - (0 - 1 - -12). Let l = u - d. Calculate b(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -164112 (base 16) to base 12\nAnswer: -5a4016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44 = 4*y - 4. What is the least common multiple of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32 - 7*v - 39 + 0*v + 6*v + 2*v.\nAnswer: v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 18531 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 85 - 17 = 0. Solve -2*s + 57 = b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 8325\/81 + -2*1. Let t = d + -101. Which is the third smallest value? (a) t (b) 1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.18523 and -0.2.\nAnswer: -0.38523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 0.0548 times -0.10777\nAnswer: -0.005905796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 6*r - 4. Let v(i) = 5*i - 3. Let c(n) = 3*f(n) - 4*v(n). Let g = 0 - -4. Let q(h) = -4*h + g*h - 3*h. Give c(q(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.11 in -101, -1, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 65032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h**2 - 9*h + 1. Give q(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 919276.8t?\nAnswer: 919276800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 101275110 to the power of 1\/2, to the nearest integer?\nAnswer: 10064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - 8 - (8 + -15)) + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23808 divided by -5952.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 14165\/88 - 1435\/8. Let u = -23\/11 + p. Find the common denominator of 35\/18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-273)\/75 + ((-84)\/7 - -15) and -64\/175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 180005 by 7.\nAnswer: 25715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = 12 - 0. Let k be 9\/v + 1\/(-2). Let g = -0.09 + 0.19. Which is the third biggest value? (a) k (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2119*k**3*s**2 - k**3 + 289*k**2 wrt s.\nAnswer: -4238*k**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*d + d + 5*j + 29, 2*d + 17 = -5*j. Suppose -4*x + 59 = 5*g, d*g - 37 = -5*x + 3. Solve -g = 3*q + 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 14933851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = l**3 - 11*l**2 + 27*l + 7. Let x be m(4). Let u(w) = 2*w**2 - 2*w - 7. Let k be u(x). Let h(t) = -t**2 + 2*t + 4. Calculate h(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -v - 19331 + 2800, -4*v - 8262 = -2*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -b + 2. Let w(y) = 788*y + 23. Let o(v) = 2*j(v) - w(v). Is o(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 399 minutes after 2:33 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 249720 rounded to the nearest 1000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h**3 + 11*h**2 + 24*h + 33. Determine x(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**4 - z**2 + 1. Let f(o) = 6*o**4 - o**3 + o**2 + 10*o - 3. Let n(l) = -f(l) - g(l). What is the second derivative of n(c) wrt c?\nAnswer: -84*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*m**5 + 2636*m**4 - 1195680*m**3 + 202068224*m**2 - 7012702208*m.\nAnswer: -2*m*(m - 424)**3*(m - 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -904\/11 or -81?\nAnswer: -904\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 22\/(-14)*(-5)\/10*7?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -p**2 + 118*p - 2640. Let d be g(88). Solve 13*y + 12 - 116 = d for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 292*t**2 - 2 + 2 - 441535*t + 446127*t wrt t?\nAnswer: 584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + f = 6*h - 253, -5*h + 316 = -f. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 11869 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -7*l**2 + 6*l - 6. Determine x(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 3 and -17749.\nAnswer: -53247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 97*j + 126*j + 28*j - 26*j. Let w(r) = 2*r**2. Calculate o(w(x)).\nAnswer: 450*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*n - 24*n - 130 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -60*j + 191*j = 393 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44 - 9*g**2 - 44.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q\/(q\/((((q\/q**(-4))\/q)\/q*q)\/q)))\/q**0)\/(q**(-6)\/(q*q**(1\/3)*q*q)) assuming q is positive.\nAnswer: q**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 349928294594905\/20316 + -17224271235. Let b = u + -9\/1693. Calculate the common denominator of b and ((-15)\/40)\/(84\/(-208)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (1*sqrt(252) + -5)**2 + -5 + (sqrt(700) + 0 + sqrt(700) - sqrt(700)).\nAnswer: -50*sqrt(7) + 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-1\/10)\/z**(-3\/7))**4 assuming z is positive.\nAnswer: z**(46\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-6)\/(-30) - 9\/(-5). Let f be l\/9 - 341\/198. Which is the closest to -5? (a) 1 (b) 1\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 52, -2, 1 in increasing order.\nAnswer: -2, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 265\/(-53)*4\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (7\/205)\/(146566\/(-52345))\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.6 - -0.5. Let d = 0.7 - -0.3. Which is smaller: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 take away -3.49?\nAnswer: 2.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/342)\/(172\/774)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 334262 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v**6)**9*v**6*v**(-9) assuming v is positive.\nAnswer: v**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7\/(1400\/1125)*2\/9.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 26, 36, 42, 44, 42, 36, 26?\n\"Answer: -2*d**2 + 16*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 1, -4, -1, 29, 5 in ascending order.\nAnswer: -5, -4, -1, 1, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = s - 4*q - 15, -q + 86 = -s + 92 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9760865, 9760863, 9760861?\nAnswer: 9760859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n*n**(-2\/9)\/n*n)**(-31))**6)**(10\/11) assuming n is positive.\nAnswer: n**(-4340\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that -23*h**2\/6 + 12347*h\/2 - 64280\/3 = 0.\nAnswer: 80\/23, 1607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k**2 + 409932*k = 0.\nAnswer: -102483, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12 and 24042?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8 - -21. Let y = 940 - 905. Calculate the remainder when y is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 827004 divided by -137834?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/(y**(7\/3)*y*y)*y*y**(-2\/7))**(-3\/4) assuming y is positive.\nAnswer: y**(55\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5599664165\/1049314 - -2\/524657. Let p = o - -58679\/11. Calculate the common denominator of -5\/22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fcffpfcklpccgff. What is prob of picking 1 l and 1 g?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -3261112220 to the nearest 1000000.\nAnswer: -3261000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j be (42\/(-8))\/(-7)*14\/(-24). Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 561 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -680*0.01.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7858, 7858, 7868, 7894, 7942, 8018?\nAnswer: 8128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 767 and 413.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the first derivative of -3*q**2 + 27\/4*q**4 + 0*q + 0*q**3 - 60. What is the second derivative of z(v) wrt v?\nAnswer: 162*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 25\/15 + -31 + 1891\/93.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = 4*j, -92*v + 88*v - 5*j - 8 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let 4*b**3\/7 - 4404*b**2\/7 - 2524*b - 13260\/7 = 0. Calculate b.\nAnswer: -3, -1, 1105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3\/(-2)*(-11 - -19). Sort q, -1, -85 in descending order.\nAnswer: -1, q, -85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/84 and -109\/40.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from agayyaayyyaaya.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**3 + 4*j**2 - 3*j + 4. Let k be n(3). Let f(z) = 7 + 1225*z**2 - z - 595*z**2 - 595*z**2. Is f(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 241232047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 306 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 32249 is divided by 481?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -107 - -606. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (-5*((sqrt(153) - 2*sqrt(153)*4) + sqrt(153)))\/(sqrt(576)*1*-6 + sqrt(576)).\nAnswer: -3*sqrt(17)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**3 + 3780*t**2 - 1759296*t - 25376512.\nAnswer: -2*(t - 952)**2*(t + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (-5*sqrt(1980) - sqrt(55))\/(-3*sqrt(500) - sqrt(500)).\nAnswer: 2 + 31*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 11397 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o - m = 4*m - 20, -o = -78*m + 29*m + 196 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 2 = 5*a, -a = d + 2*a - 8. Calculate the remainder when 27 is divided by (-361)\/(-38) - d\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -a**4 + 222984601*a**3 - a**2 + 343446503 wrt a.\nAnswer: -24*a + 1337907606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8 - -12. Suppose 4 = -s*f + 72. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w**2 + 2*w - 8. Determine j(7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(420)\/(3*sqrt(12)) + sqrt(35) + -2*sqrt(35)*-3)\/((sqrt(10) - (sqrt(10) - -2*sqrt(1210)))\/(sqrt(2) + sqrt(288)*2 - sqrt(2))).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z + 9, -u = u + 4*z + 16598506. Let c = u + 149430271\/18. Let n = c + -2431. What is the common denominator of n and -69\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*w + 6*g - g + 81, -5*w + 290 = 5*g. Let x = w - -8. List the prime factors of x.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*n**3 - 2*n**3 + n**3)*(1 - 2*n + 0*n - 6) to the form b*n + s*n**3 + l*n**4 + w + y*n**2 and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -603, -4521, -15147, -35835, -69939, -120813, -191811?\nAnswer: -286287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = m**3. Let d(k) = -2*k**3 - 3*k**2 + 3*k + 2. Let p(h) = -d(h) - q(h). Let s be p(-4). What is the units digit of ((-2)\/4)\/(1\/s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 513 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -21*q**5*s + 2*q**5 + 390*q*s wrt q.\nAnswer: -420*q**3*s + 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be 8\/3 + -3 - 0. Let s be 2\/(-4)*-1 - 0. What is the third biggest value in 0.2, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*o + 2*o - 4*o - 2*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 471162 and 5643.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 13 - 7 + 0*m + 6*m + 13. Let t be h(-8). Let r = t - -143\/5. Which is the smallest value? (a) r (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -24 divided by 1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 28284 or 28276?\nAnswer: 28276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -447*a**4 - 1338*a**4 - 237 + 1801*a**2 + 237 wrt a.\nAnswer: -42840*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -13 (base 10) to base 2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 376 minutes before 5:56 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = -33\/5 + 149\/15. Let z = -4 + g. What is the closest to 3.6 in 1, -0.3, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f = 349 + -347. Suppose 1288 = b - 15*u + 11*u, -f*u - 5096 = -4*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-50)\/4*(-72)\/10. What is the highest common factor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-20)\/4)\/(-15)*18. Let y(o) be the first derivative of o**4\/4 - 5*o**3\/3 - 3*o**2 - 3*o + 2. Determine y(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -k - 4. Suppose -i + 192 = -3*l, -l = 3*l + 5*i + 275. Let s = l + 10. Let h = s - -53. Determine t(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 242.53 times 0.12\nAnswer: 29.1036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (17 + (-5180)\/308)*(-352)\/(-104) - 0\/1.\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 108*j**2 - 109*j**2 + 4 + 8*j**3 - 3 as m + r*j**3 + u*j + t*j**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*n + w + 2*w - 148, -4*n - 2*w = 128. Let y = 60 + n. What is the second derivative of -14*m + 5*m**2 - y + 26 wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 252685432 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5190046 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -4*u**3 - 4*u**2 - u - 6. Let h be z(-2). Solve -3*d = 3*d + h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1\/4859 - 9711\/34013. Sort -6, -1\/2, -4, -3\/2, x in ascending order.\nAnswer: -6, -4, -3\/2, -1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (28*95\/4788)\/(15\/(-2)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = 4*k + 8, 5*c + k + 2*k - 26 = 0. Suppose 3*w + w - 28 = -3*y, 4*w - c*y = 0. Calculate the remainder when 30 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -4*g + 25. Let o be ((20\/6)\/(2\/3))\/1. Let t be i(o). Suppose -10*p + 7*p + 543 = -4*b, -724 = -4*p - t*b. List the prime factors of p.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1.6 + -12.4. Let l = -14.5 - c. Let q = 9.2 + -9.6. Put q, 3, l in decreasing order.\nAnswer: 3, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 7, a: 4, z: 4}. Give prob of sequence zaa.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = -793\/12 - -66. Let f = -36.1 + 36. Sort k, f, -4 in decreasing order.\nAnswer: k, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -60948 = -450*d - 65448 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 6 smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 49, 173, 379, 667, 1037?\nAnswer: 1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.04, 0, -68\/19, 0.008.\nAnswer: -68\/19, 0, 0.008, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 9) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = s**2 - 3*s + 5. Suppose 20 = u + 4*u. What are the prime factors of g(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + q = 7. Suppose 0 = 5*x - 9*x + 8. Solve t + x = q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2683272569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:50 PM and 3:12 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 83971?\nAnswer: 131, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 13 = 2*u + 2*t, 0 = -u - t + 5. Suppose 171 = -u*f + 15*f. Solve 0 = f*n - 20*n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 97273 = 13*y - 95309. Calculate the least common multiple of 20 and y.\nAnswer: 148140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.2 and -16.85143807?\nAnswer: 16.65143807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 + 12. Suppose 913*v - 901*v = 0. Solve 2*p - 3*j - j = -d, 3*j = v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 135*j**3 - 28 + 28 + 405*j**3.\nAnswer: 540*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 25\/2 of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 0 + 3)*(-5*r**3 + 234*r**3 + 13*r**3) in the form k*r + x*r**3 + f + t*r**2 and give x.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 777215473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 37*x - 165 - 131. Which is smaller: x or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -174*g + 596*g = -141*g. Let k = 2 + -1. Let v be 2 + -2 - -5*k. Solve 2*l + 3*m + 13 = 0, g = 2*l - v*m + 2*m + 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11568 divided by -16.\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 308979*p**3 - 154490*p**3 - 154483*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-84)\/36*(-54)\/(-20) and -43\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:47 AM and 9:15 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -62\/5555745 and -67\/2754130.\nAnswer: 322233210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6 + 7 - 2 - 2 - 7*r - 143*r**4 wrt r.\nAnswer: -1716*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/10 of a meter in centimeters?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes after 10:51 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-42)\/10 - (-1)\/5. Suppose 0 = 4*q - 8, 6*z - 4*q = z - 23. Let g = z - n. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9906.152 litres to millilitres.\nAnswer: 9906152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 + 11 = -3*b. Suppose y + b = 0, -84*s + 89*s - 3638 = 2*y. Is 51 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 1147, 1156, 1167, 1180?\n\"Answer: t**2 + 6*t + 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 14 - 2 - (44 + -25)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + (-2 + -12 + (-21 + 85 - -14) - -11)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 0*g = 8. Let i = -1 - g. Which is the nearest to 0.2? (a) i (b) -1\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w**2 - 7380*w + 748572 = 0.\nAnswer: 106, 2354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Solve 22816*q - 22834*q = -36 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 371565489\/8 at least 46445685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 28076947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -18*p + 29*p - 248392 - 4685. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) -142 (b) -0.1 (c) 0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -1022, -1401, -1896, -2507, -3234?\n\"Answer: -58*k**2 - 205*k - 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2156 rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 2*p**3 + 11*p**2 - 10*p - 20. Let h be k(-6). Suppose 153 = h*x - 23. What is the least common multiple of x and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 30.3 - 31.9. Let g = 1.6102 + u. Round g to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 84116 is divided by 246?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 5*q + 24. Determine y(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from rrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -20820, -20834, -20862, -20904?\n\"Answer: -7*q**2 + 7*q - 20820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 1 (c) -2\/3 (d) -2 (e) -5 (f) -1110 (g) 37\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 39379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-8)\/54*330\/440. Let u = -0.4 - 0.1. Let r = -14 - -72\/5. Which is the second biggest value? (a) u (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 4 (b) -13 (c) -3 (d) 2\/17 (e) 1 (f) -97612 (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 31833\/11 - 2894. Which is the smallest value? (a) -3 (b) i (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 53\/230 and 59\/2055?\nAnswer: 94530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-47526)\/14*(-38)\/(-57). Let l = 2267 + y. Find the common denominator of -33\/7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -4, 2, -474 in descending order.\nAnswer: 2, -2, -4, -474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t**(-5))\/(t\/t**5)*t*t*t*(t\/(t**2\/t))\/t*t*t**6 assuming t is positive.\nAnswer: t**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2313, 9249, 20811, 36999, 57813?\nAnswer: 83253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 35? (a) -7 (b) -3 (c) 56 (d) -5 (e) 0.07 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 103 + (-6 - (7 + -12)) + -29?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -108 + 166. Let d = 1371175.99988 - 1371234. Let h = g + d. What is h rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 minus -0.1748?\nAnswer: 0.3748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 3, -732553 in increasing order.\nAnswer: -732553, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -17*t**2 - 2312374*t + 2312374*t. Let u(a) = -1052*a**2. Calculate u(r(i)).\nAnswer: -304028*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 67925 and 3170.\nAnswer: 43064450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes before 8:32 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1035 smaller than 1035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - 4 - 5) + (23 - (-16 + 56))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 455888 and 1280?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the first derivative of 10 + 0*l**3 + 0*l**2 + 0*l**4 - 13*l + 1\/5*l**5. Differentiate t(x) with respect to x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 1994349792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = 41 + -25. Calculate the highest common factor of 112 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p\/(p*p**(-1\/13)\/p*p)))\/(p*p*p*p*p*p*p*(p\/(p\/(p**(2\/7)\/p)*p*p))\/p*p)*(p\/p**(-10))\/p*p\/p**(2\/61) assuming p is positive.\nAnswer: p**(42213\/5551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 896 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w**2 + 3*w + 9. Give i(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -57\/4 and -15\/4527986?\nAnswer: 9055972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.572376 and -0.19?\nAnswer: -0.10875144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 15*j + 6. What is y(9)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 27 - (28 + -4 - 6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -51.7 - -116. Let t = f + -61. Let i = t - 3.2. Put -0.4, 1\/4, i in decreasing order.\nAnswer: 1\/4, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -1 + -1 - 22\/(-14). Let w = -1.98 - -2. Let t = -1.02 + w. Which is the closest to t? (a) -3 (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the second derivative of 0 + 15*r - 5\/6*r**3 - 1\/10*r**5 - 3\/2*r**2 - 1\/3*r**4. What is the tens digit of a(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 10*b - 3*b**2 + 14*b - 1 + 7*b + b**3 - 26*b. Let x be r(2). Let q(l) = -l**3 + 7*l**2 + 2*l + 3. Let m be q(7). Solve -m = -4*w - x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2642*k**3 + 568*k**3 - 338*k - 503*k - 2150*k**3 wrt k.\nAnswer: -25344*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 37555 and 11225320?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 27 = -p - 4*p, f - 9 = -2*p. Suppose -2*z - 2*z = p*c - 52, 0 = 5*c - 5*z - 70. What is the highest common factor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r - 15*c - 26*c - 29 + 33 - 66 = 0, -4*r + 3*c = 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1371 - 1329. Solve -r = -5*b - 67 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -5*d + 13. Suppose -5*g + 70 = -a, d*a = -g - 0*g - 7. Calculate the highest common divisor of 143 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/3*168\/(-14). Let n(h) = -4*h**3 - 13*h**2 + 2*h + 7. Let r be n(p). Suppose -r + 1232 = 5*o. List the prime factors of o.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -5*(-4)\/(60\/9). Suppose -5*m = 5*x - 4*x - 125, -f*x = 3*m - 75. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**2 - 4*t + 4. Let x be g(-5). What is the remainder when 25 is divided by x*(-1 - -3) + 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w + 1411331 = -2*m + 1411320, -5*m = -5*w - 25 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Subtract 199 from -38878.\nAnswer: -39077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 54*k**2 - 19*k - 85. What is d(-3)?\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -7*b*d**3*f - 2*b*d**3 - 22*d**3*f - 23*d**3 - 8*d**2 - 27*d + 278*f - 2 wrt f.\nAnswer: -7*b*d**3 - 22*d**3 + 278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 2\/15 of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 2*n**2 - 4*n - 1. Let m be l(3). Let r(b) = 12 - 7 - 5 + m*b**2. Let a(t) = 2*t. Give a(r(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.02153 - -0.0216712. What is k rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/(7\/1*(-132)\/(-1232))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -13*g**3 - 7*g - 7. Let f(w) = -4*w**3 - 7*w - 1 + 5*w - 1. Calculate -7*f(a) + 2*t(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be -2 - (53\/(-6) + 7). Is r at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 309 + -389. Let u = x - -80. What is the closest to 0 in -35, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s = -7*s - 5*k + 1082, 3*s + k - 1649 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the third derivative of -y**6\/72 + y**5\/15 - 2*y**4\/3 + 9*y**2. Let d(p) be the second derivative of u(p). What is the tens digit of d(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10022110220010001 - 10?\nAnswer: -10022110220010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -652 - -662. What is the third derivative of 42*r**3 - 20*r**2 + 77*r**3 - d*r**3 + 72*r**2 wrt r?\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*m**2 + 7*m**2 + 3*m**2 + (3*m - 3*m + m)*(-m + 4*m - m))*(14 + 8*m - 14).\nAnswer: 96*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 0*h + 4 = -3*h, -5*h + 10 = 5*m. Solve 4*g + 6 = 2*k + m, 0 = 3*k - g - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 42? (a) -18 (b) 2\/13 (c) 4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4 - -6. Let b = 17.3 - 18. Let s be ((-12)\/(-28))\/(((-36)\/42)\/6). Sort b, s, l in decreasing order.\nAnswer: l, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1443224231 (base 5) in base 3?\nAnswer: -21022021120021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -11*u**2 + 95*u + 847. Give p(14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 10*r**3 - 4*r**2 - 3*r + 4. Let d(o) = -4*o + 1. Let u be d(-1). Is l(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -102.4 - -0.4. Let n = s + 101.982. Let o = 0.282 - n. What is the nearest to -0.05 in o, -0.2, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 34.2 + -34. Which is the closest to -1? (a) -4 (b) n (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.09 times -14.59\nAnswer: -1.3131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -4*f + 59. What is x(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 400, -10, -2, -24.\nAnswer: -24, -10, -2, 400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11091487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 212 and 30581?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is b + 130?\nAnswer: 13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -2*j**3 - 20*j**2 - 5*j - 3. Let q(v) = v + 1. Determine -5*q(k) - w(k).\nAnswer: 2*k**3 + 20*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2762\/8 - (-1)\/(-4). Suppose 2*v - i = -v. Suppose -5*p + k + v = 0, -2*p + 44 + 14 = 2*k. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 175*h + 88*h + 7756 = -14*h for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be -27 - -51 - (-146)\/(-6). Let k = 0.5 + -6.7. Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/x**(4\/17))\/x**(1\/2)*x**(-2\/5)\/x*x*x**(-5\/3) assuming x is positive.\nAnswer: x**(-919\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -27 = 4*n + b, -669*n - 2*b = -663*n + 44 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -25831 or 1421?\nAnswer: 1421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be 5 - (-1)\/2*6. Let o be d*((-28)\/16)\/1. Let n = -5 - o. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 112, 195, 280, 367, 456, 547?\n\"Answer: b**2 + 80*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w\/(w*w\/w**19)*w*w*w**(-1\/13)*w)\/(w**(2\/29)\/(w\/(w*w*w**(-1\/10)))) assuming w is positive.\nAnswer: w**(78997\/3770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -70303*h + 70543*h - 4800 = 0 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-209)\/(-9 + 4562987\/507000). Round a to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 7*x**2. Let m(t) = 2377*t**2 + 46*t. What is m(k(n))?\nAnswer: 116473*n**4 + 322*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) be the first derivative of n**2\/2 + 9*n + 1. Determine k(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-20)\/(-16))\/((-40)\/192*(-4)\/10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -59850 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*f + 5*f - 5265. Suppose 0 = 4*o - y - f, -3*o + 44 = -5*y - 399. What are the prime factors of o?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the first derivative of 1132*b**4 + 2093*b**2\/2 - 7798. What is the second derivative of p(t) wrt t?\nAnswer: 27168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -22*t**2 + 3. Let m = -354 - -349. Let d(n) = 42*n**2 - n - 5. Let v(k) = m*f(k) - 3*d(k). Let b(p) = -2*p**2. What is b(v(y))?\nAnswer: -512*y**4 + 192*y**3 - 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (28\/35)\/((-2)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8956 - -4253. What are the prime factors of v?\nAnswer: 3, 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*1*sqrt(68)*2)\/(sqrt(256) + sqrt(256) + sqrt(256)*-1*-3 + sqrt(256)).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12 and 804.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 2*w**2 + 5. Let l(d) be the third derivative of -d**5\/12 - 11*d**3\/6 + 10*d**2. Give -9*i(s) - 4*l(s).\nAnswer: 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor q**3\/5 - 8272*q**2\/5 + 11559*q + 99180.\nAnswer: (q - 8265)*(q - 12)*(q + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (-12)\/(-5 - -1) - 6\/4\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 222949?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000072631 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the third derivative of 113*n**7\/105 - 145*n**4\/24 + 15*n**2. Find the second derivative of w(q) wrt q.\nAnswer: 2712*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*c**4*h*y**2 - 32587013*c**3*h - 252*c**2*h*y**2 + 2*c**2*h*y + 3*c*h*y**2 - 2366*c wrt c?\nAnswer: 48*c*h*y**2 - 195522078*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -10*c**2 + 8*c - 4. Let m(u) = -u**2 + u - 1. Give -l(h) + 12*m(h).\nAnswer: -2*h**2 + 4*h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lll. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-8*l**2 + 2*l - 2*l)*(2*l**2 - 3*l**2 - 5*l**2) to n*l**3 + h + b*l**4 + m*l**2 + x*l and give b.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u + 3*y = 15, -12*y + 25 = 5*u - 7*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wpzzwwzwzzzbzpzwwwpp. Give prob of sequence wz.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s + 5. Let n be h(-5). Suppose n = 6*j - 4*j - 32. Calculate the remainder when j is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of (27940 - -14) + 182\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4779 and 373293.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the first derivative of 3*w**5\/5 - 9*w**4\/4 + 3*w**3 - 3*w**2\/2 - 1. Factor o(j).\nAnswer: 3*j*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 5, h: 1, w: 2, i: 1, q: 3, g: 1}. Give prob of sequence hg.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*w**2 - w**2 - 12*w**2 - 6*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3050)\/1830)\/((-2)\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1176324, -1176423, -1176522, -1176621, -1176720?\n\"Answer: -99*d - 1176225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:47 AM and 4:28 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 58\/(-8932)*(-6)\/3*132\/72.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the first derivative of -1\/8*x**2 - 1\/32*x**4 + 0*x + 81 - 1\/8*x**3. Suppose m(j) = 0. What is j?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**3 + 21*n**2 - n + 24. Let g be a(21). Suppose -2*d + 3*b = 2*d + g, -2*b = 4*d + 18. Let k be (57\/42)\/((-2)\/4). Which is bigger: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 165 minutes before 3:40 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 86265118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (-96*q - 33*q - 188*q)*(1 - 2 - 1)*(-2 + 0 - 1 + (-5 + 1 + 2)*(1 - 3 + 1)) as y*q + f and give y.\nAnswer: -634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2796736 divided by 43699?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 1347 (base 11) to base 8\nAnswer: 3321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2513 and -0.29?\nAnswer: -728.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 216743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6 + -5. Suppose u + 4 - 14 = -3*o, -o = -4*u + 14. Suppose 2*w = u*m + 26, -w + 2*m - m + 8 = 0. Solve 3*z - j - h = 0, -w*z - 3*j = -0*z - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 6, 3\/8, -4, 23, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 3\/8 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 5*v**3 + v**2 - 2*v + 1. Let s be w(1). Solve -s + 13 = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20853?\nAnswer: 3, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3115786.\nAnswer: 2, 73, 21341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 12872\/135809 + 274322198404\/74830759. Let c = p - 3666. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:36 PM and 11:10 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be (21490\/(-24) - 15\/60)*-3. Let t = -1895 + y. Is 36 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-z**2 + 101*z**3 + 0*z**2 - 61*z**3)*(-2*z - z - 27 + 19).\nAnswer: -120*z**4 - 317*z**3 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11 - -5. Calculate the least common multiple of o and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 39 or 434\/11?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange z - 5 + 98*z**2 - 80*z**2 + 3 to j*z + b*z**2 + h and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5\/694 + -5029\/347. Let m(t) = 4*t**2 + t - 1. Let p be m(-2). Let k = s + p. Which is the smallest value? (a) 3\/5 (b) k (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y*y*y**4)*y*y\/(y*y*y**(-3\/2)))\/((y\/y**0)\/y)**(6\/5))\/((y**(-6)\/y*y)\/((y**(-6)\/y)\/y)*y*y**(-7\/5)\/y*y*y*y*y*y\/y**(-2\/9)*y*y) assuming y is positive.\nAnswer: y**(-1019\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -15 + 62. What are the prime factors of o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 12*((-10)\/(-15) + -1). Let d be ((-2)\/(-8))\/(6\/24). Sort q, d, 0 in descending order.\nAnswer: d, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 787475*h + 787228*h - 1574707*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1986 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 26682 and 18?\nAnswer: 80046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-318)\/212)\/((175\/(-200))\/(-7)*1\/(-11)).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 23 and 0.075822?\nAnswer: 22.924178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1520 and 1140?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -335, -339, -341, -341?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(3\/5)*f*f)**(-5)\/(f\/f**5*f**(3\/2)) assuming f is positive.\nAnswer: f**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from {s: 6, u: 4, g: 3, i: 4, r: 2, t: 1}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*g**2 + 3*g**2 + 3*g**2 - 9*g**2 + 6*g.\nAnswer: 2*g*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 148 divide 22526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -2*u - 4, -4*i - 3 = -i. Let b = 15 - u. Suppose 0 = 9*w - 207 - 360. Calculate the remainder when w is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*k - 2869 - 20 = 0. Is k a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiiiiiffiiifiiffif. Give prob of sequence ffi.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*y**5 + 58*y**4 + 170*y**3 + 212*y**2 + 111*y + 18 = 0. What is y?\nAnswer: -3, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*u = -55*u + 4775. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(297))\/sqrt(11) - sqrt(3267)*-1)\/(sqrt(1089)*2 - sqrt(9) - (sqrt(81)*2)\/sqrt(9)).\nAnswer: 12*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) be the first derivative of p**6\/12 + 3*p**5\/10 + p**4\/4 - p**3\/3 - 3*p**2\/4 - p\/2 - 14. Factor f(j).\nAnswer: (j - 1)*(j + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 56132752 divided by -14033188\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -947, -2015, -3205, -4517?\nAnswer: -5951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 17915\/88 + -1617\/8. Factor t*x + 32\/11 + 2\/11*x**2.\nAnswer: 2*(x + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 178cb64 - 4?\nAnswer: 178cb60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 362*s - 16. Let l(v) = -3*v**2 - 10*v. Give l(d(t)).\nAnswer: -393132*t**2 + 31132*t - 608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 33679542773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 61898.\nAnswer: 2, 30949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*b + 30 = -4*b + 5*d, 0 = 5*b + 2*d - 30. Solve 0 = b*z - 19 - 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(700)*2 + -2)*-4 + -5*(3 + -2 + (1 + sqrt(175))**2).\nAnswer: -875 - 130*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:20 AM and 2:03 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -3*a - 15. Let m be (105\/25)\/(-7)*10. Let c be f(m). Let b be (-3)\/(-6) - 23\/(-2). Solve p = 4*o - b, 9 = c*o + p + p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1460\/(-60) + -36 + 1\/(6\/(-4)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -5*h - 55, 3*k - 4*h + 109 - 39 = 0. Let j be (4\/(-8))\/(k\/71204). Let p = -1182 + j. Find the common denominator of -77\/15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -2*t + 6, -4*y - 4*t + 18 = -2*t. Suppose v = -0*z + 2*z + 1, 3*z + y*v - 16 = 0. Suppose -d - z*d = 5*d. Solve 0 = -2*f - d*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 28 + -27.5. What is the third smallest value in x, -2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1505 and 473?\nAnswer: 16555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 6 times -8.6328\nAnswer: -51.7968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 126549376 + 34*g - 126549376 - 2*g**2. Let a(x) = 6*x - 2. Determine a(c(h)).\nAnswer: -12*h**2 + 204*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -984993934 by -4757.\nAnswer: 207062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -17*c**3 + 33*c**2 + 129*c - 32. Let z(l) = -6*l**3 + 12*l**2 + 43*l - 11. Calculate 4*y(t) - 11*z(t).\nAnswer: -2*t**3 + 43*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -v + g + 10 = 0, 3*v + 194 - 196 = -g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from {v: 1, o: 1, h: 1, s: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3 - (16\/4 + -5). Suppose -31 = -2*j + 3*x, -4*j - j - h*x + 20 = 0. Suppose 0 = -j*s + 1 + 207. Calculate the highest common divisor of 39 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = 2*s - 6*b + 5, -4*s = 3*b - 35. Suppose 0 = s*q - 6 - 9. Suppose -3 = -3*o + 4*r - 3*r, 2 = 4*o - 2*r. Solve o*p - 15 = -q*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -3582 divided by -2\nAnswer: 1791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -k - 9. Let x be b(-13). Find the third derivative of 4*q**x + 62*q**3 - 13*q**2 - 62*q**3 wrt q.\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/(150\/15)*22.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 133 + -131. Solve 22 = -5*m + f, -7*f + a*f = -5*m - 30 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -3408 divided by -1\nAnswer: 3408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -85930 not equal to -85844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 118401752 divided by 2114317\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5907794.\nAnswer: 2, 31, 95287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -92.96 (b) -3\/5 (c) -1\/2 (d) 2\/21 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -17*l**3 + 16*l**2. Let g(y) = 6*y**3 - 5*y**2. Determine 8*g(x) + 3*h(x).\nAnswer: -3*x**3 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2324491?\nAnswer: 13, 178807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ihmimmihmimmhii. What is prob of picking 3 h?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -38097*n + 1561873. Give q(41).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k - 6*k + h + 73, 0 = -k + 5*h + 5. Let x = 96 + 159. Suppose -20*u + k*u + x = 0. What are the prime factors of u?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b**3 - b + 66. Suppose -4*r + 8 = -5*c, -5*c + 5*r + 5 = 15. What are the prime factors of v(c)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -5*d**3 - 142*d**2 - 52*d + 122. What is u(-28)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1632347 + -11487447. What is v rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) -0.3 (b) -11\/30 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 11 - (-36 - (-28 + -7)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -26250, -26249, -26248, -26247?\nAnswer: -26246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 4*m - 5 = 0. Suppose 0 = -m*h + 1 + 19. Solve 0 = v - h*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1649 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 u(m) = m**3 + 3*m**2 - 6*m - 4. Let i be u(-4). Suppose -2*x = -3*g + 15, 4*g + 2*x - 2 = i. Solve -g + 19 = 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-4)\/(-12) + (-1)\/3)\/(-2). Let u be -9 - (-2 + j + 0). Let k = -38 + 38. Sort u, -1\/4, k.\nAnswer: u, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -204700 by 2225.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 169*o - 2*o**2 + o**2 - 177*o - 1 + 0. Suppose -4*w = -4*y - 8 - 28, 5*w - 38 = 4*y. Calculate u(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 8*i + 2*c + 6, 2*i - 12 - 2 = 3*c - 19 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44501 = -246*m + 157169. What is the remainder when 1856 is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1*((-5)\/(-2) + -2)*-2. Let p = -3466 + 17336\/5. Sort l, p, 3\/4 in increasing order.\nAnswer: 3\/4, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 0 - (-4 - (8 - 11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.5, 4, 0.1, -97?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*c**4*n - 2*c**4 - 1583*c**3*n - 7*c**2*n + 210*c*n wrt c?\nAnswer: 48*c*n - 48*c - 9498*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1896 and 495172.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.03 in 5, 2, 25277?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(245) - ((sqrt(245) + (1 + sqrt(245) - sqrt(245)) - sqrt(245)) + 4)) + ((-5*(-1 + sqrt(245)))**2 - sqrt(245)).\nAnswer: -350*sqrt(5) + 6145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 0 - 41045044?\nAnswer: -41045044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -6653 (base 9) to base 6.\nAnswer: -34420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12 + (1 + 9 - (22 + -14)) + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = v**2 - 5*v - 6. Let j be s(6). Suppose 0 = -3*i - 24*i + 108. Suppose -w = -4*x - 2, -4*x + 4*w - 4 - i = 0. Solve x = 4*b - 16 - j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 13635, 0.1, -3, -65.\nAnswer: -65, -3, 0.1, 13635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 40 + 44 = 0. Let v(b) = b - 37. Calculate the smallest common multiple of p and v(55).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -359457, -0.3, 4 in increasing order.\nAnswer: -359457, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -4\/37067257?\nAnswer: -4\/37067257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 86 = 5*c + 4*n, -4*n + 6 = -10. Solve -3*w + 15 = h, 5*w + 3*h - c = 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 not equal to -5500\/9813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 489, 2066, 4755, 8550, 13445, 19434, 26511, 34670?\n\"Answer: -m**3 + 562*m**2 - 102*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 158, -2, -3, 1, 0 in decreasing order.\nAnswer: 158, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that w**2 + 22*w - 104 = 0.\nAnswer: -26, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 690 minutes before 6:56 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2525.11nm in centimeters?\nAnswer: 0.000252511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -54235 - -151?\nAnswer: -54044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -13679 - -13679.52135. Let w = -0.52 + v. What is w rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k + 6462. Let m(p) = -3*p**2. What is f(m(x))?\nAnswer: -3*x**2 + 6462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 60.33644 millilitres?\nAnswer: 0.06033644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f - 5*y + 8 = 0, 11*f - 8 = 7*f + 2*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 906689 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 473109 and 273?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4 (b) 39 (c) 1 (d) 2 (e) -1 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 137 = 232. Suppose -5*q + 7 = -h. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -86.84 + 0.84. What is the second biggest value in 2, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26228.\nAnswer: 2, 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i, 1 p, and 1 g when three letters picked without replacement from {p: 2, i: 2, g: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the second derivative of -i**7\/42 - 29*i**4\/12 - 677*i**3\/3 - 46*i - 5. What is the second derivative of p(t) wrt t?\nAnswer: -20*t**3 - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: -1 (base 5) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.4610097 - 300.5020903. Let a = s + 301. What is a rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 2*r - q - 0, 5*r - 2*q - 25 = 0. Suppose -b - 2*l - 10 = 0, -b + r*b = -4*l - 20. Let y(u) = -u**2 + 2*u + 6 + 1 - u**3 - u. Determine y(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4.9 - 5. Let h = -26.25 + 25.01. Which is greater: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -8*g**3 + 17*g**2 + 10*g + 21. Let v be l(12). Let w = 2100924\/187 + v. Calculate the common denominator of w and -4\/11.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -63\/13363580 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 251 is divided by 81?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**2 - 15*m - 46. Let d be g(-10). Which is the closest to -1\/4? (a) 3\/5 (b) d (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.1, -1, 79.29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -168 + 24 = 4*o + 4*l, 0 = 5*o + l + 184. Let k = 45 + o. Let q(y) = 16*y + 9. What is the hundreds digit of q(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -114 + 141. What is the highest common divisor of o and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -83026020 rounded to the nearest 100000?\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 285808 and 11968.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 949730 less than 949707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -3724 divided by -532\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -22 - (-7 + (2 - (-17 + 6)) + -11)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 2*a - 4 = 0. Let u be a\/26 + (-264)\/195. Which is greater: u or -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(3\/7)*k**(-4)*k*k**(1\/2)*k*k*k**2*(k\/(((k**(-1\/2)\/k)\/k)\/k))**45\/(k*k**(-8)*k**7) assuming k is positive.\nAnswer: k**(1431\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.1 (b) -1\/29 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1796 take away 3?\nAnswer: -3.1796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 55*g + 374*g + 444*g + (-3*g + 4*g - 2*g)*(0 + 4 - 2) in the form u + c*g and give c.\nAnswer: 871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 2*z**3 - 2*z**2 + 149*z - 299. Let p be d(2). Let x(u) = u + 8. Let b be x(-6). Solve p*y = b*y + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34*h + 38*h + 0*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 4*s + s - 4*s - 3*s - 3. Let a be p(-3). Solve 2*u = -5 + a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 24 = -2*p, -3*h = -p - 12 - 3. Calculate the least common multiple of (h\/5)\/((-10)\/(-25)) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*w**2\/7 - 1385068*w\/7 + 12465774\/7.\nAnswer: -2*(w - 9)*(w + 692543)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 1 w, and 1 y when three letters picked without replacement from cwmcrxwy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/4*((-1 - 2) + 3). Solve 3 = 3*y - o*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -6, 6\/13, 2, -4, 3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 61\/10 and 710\/(-255)*3\/(-16).\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1498)\/9630 + (-3)\/(-54).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*y + 202*q - 399*q + 202*q - 142, -q = 3*y - 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -303823.0685 - 103.6.\nAnswer: -303926.6685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -97, -223, -431, -721?\nAnswer: -1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 + -3.4. Let s = h - 17.6. Let m = s - -21. Is 1 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one fifteenth of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 10 + (0 - (-3 - -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r**(-3\/11))\/(r*(r*r\/(r**16\/r)*r)\/r))**(7\/6) assuming r is positive.\nAnswer: r**(490\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 148?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -a - a. Let w be a\/(-2) - 52\/(-8). Suppose 21180*n = 21201*n - 42. Solve -3*p - n*p - 4*y = -w, -3*p + 3 = y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 96*c*l**3*o**3 - 3*c*l**3*o - 2*c*l**2*o**2 + 2*c*l*o**3 + 2*c*o**3 + 2*l**3 - 164*l**2*o + 2*l*o**3 wrt l.\nAnswer: 576*c*o**3 - 18*c*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 14 + 5 + 11*x + 12 - 106 + 34. Give p(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the second derivative of -t + 0*t**2 + 0*t**3 + 1\/4*t**4 + 0. Let d(c) = 2*c**2. Determine d(b(l)).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 10*h**3 - 5*h**2 - 3. Suppose 3*g + 10 = -2*g. Let z(i) = -5*i**3 + 2*i**2 + 2. Let o(c) = g*n(c) - 5*z(c). Differentiate o(t) with respect to t.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = 2*m - 7*m. Let f(y) = -2*y - 6. Let s(x) = 2*x + 5. Let k(w) = 2*f(w) + 3*s(w). What is k(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1916 is divided by 129.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 80489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 58302?\nAnswer: 2, 3, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -2*(-1)\/14*15211\/492 and 51\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*a - 7*a**2 + 7 - 7 as t*a + i + v*a**2 and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 8, -2, 33, 6, 1, -13 in increasing order.\nAnswer: -13, -2, 1, 6, 8, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = -31 - -39. Let y be 6\/(-15)*10\/o*-10. Suppose y*h - 876 + 291 = 0. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 916304.535 to the nearest 100.\nAnswer: 916300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2551 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -784 - -780. Let p = -3.1 + -0.9. Let c = 4.02 + p. Sort 0, -3\/2, c, n in increasing order.\nAnswer: n, -3\/2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 1, 557\/4 in descending order.\nAnswer: 557\/4, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.0969 - -3.5931. Is 2\/5 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 15.7 - 16. Which is the third smallest value? (a) -0.4 (b) -2\/23 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 21, 42, 61, 78, 93?\n\"Answer: -y**2 + 24*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -2917713, -2917712, -2917711, -2917710, -2917709?\n\"Answer: b - 2917714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r + 15. Let d be t(11). Suppose 12 = -2*n - d*p, 5*p - 2*p + 14 = -4*n. Sort -1\/2, 0.4, n in descending order.\nAnswer: 0.4, -1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - (2 + 4 + -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 14*t - 3. Let m(j) = 5*j - 1. Determine 3*d(q) - 8*m(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -52.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the first derivative of 4*v**3\/3 - 2*v**2 + 6*v - 823. Let o = 2 - 7. Let y(h) = -3*h**2 + 4*h - 5. What is o*r(n) - 6*y(n)?\nAnswer: -2*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 32 and 84376?\nAnswer: 337504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1.3, 0, 243?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 4) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 55.2 - 54.7. Let g be (4*3\/2)\/(-41). Let y = g + 89\/328. What is the second biggest value in s, y, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 0.4 (b) 0.8 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-14)\/(-4)*9\/(-21). Suppose -2*v - 3*v + 5 = -5*n, -3*v - 2*n = 7. Let r be ((-3)\/2 - -2)*5. Which is the nearest to v? (a) r (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 6085686500 to the nearest one million.\nAnswer: 6086000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**3 + 9*m**2 - 224*m + 623. What is b(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-2)\/z)\/z**1)\/(z*z**0*z*z*z)**(-5\/8) assuming z is positive.\nAnswer: z**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 + 5. Find y such that 33*y**3 + 4*y**v - y - 13*y**3 + 8 - 12*y**4 - 19*y = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -3, 0, -6, -12, 6091 in descending order.\nAnswer: 6091, 0, -3, -4, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -1\/7 (b) -2.64 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6*r + 35132 - 35210 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 4*a - 502 = 0, 3106 - 1122 = 4*l - 4*a. What is the highest common divisor of l and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 3*d + 6. What are the prime factors of d\/(-4) + (-1218)\/(-4)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (f + 4*f - 3*f)*(-f - 3*f + 6*f - 2*f + 0*f + 0*f - 2*f - 2 + 2 + (f - 1 + 1)*(-3 + 2 + 2) - 2*f - 1 + 1 + 2*f + 2 - 2).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 361319, 722565, 1083811, 1445057, 1806303?\n\"Answer: 361246*k + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 32402 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -99462766 or -99462763?\nAnswer: -99462766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27 + 22*s**3 - 24*s**3 + 13 + 14.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -45*b - 181519 + 575912 + 150827. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 24 = -3*r + 4*t, 0 = r - 2*t - 12. Solve -p + 2*i = -4*p - 4, 4*p + r*i + 12 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the third derivative of 3*y**8\/560 - y**6\/720 - y**4\/12 + 6*y**2. Let h(o) be the second derivative of s(o). Is 28 a factor of h(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.241 in -11, 5, -3166?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 15619023, 15619013, 15618997, 15618975, 15618947, 15618913?\nAnswer: 15618873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 95*l - 97*l = 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the second derivative of 1\/2*d**2 - 5*d - 1\/2*d**3 + 0. Calculate b(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*f - 2*n - 0*n + 8, 5*f = 2*n + 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + ((sqrt(91) - sqrt(91)*3*4)\/(sqrt(49)\/sqrt(63)))**2.\nAnswer: 14161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -102*q - 1210. Determine j(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = 5*n + 3. Let i be 0 + -59998 - n\/(-4)*-4. Round i to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 68*p**3 - p**2 + 3*p + 3. Let a be o(3). Let d be 12\/(-26)*39\/(-9). Suppose -a = -x - d*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/5? (a) 2 (b) 5 (c) -1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4627, -4624, -4617, -4606, -4591, -4572, -4549?\nAnswer: -4522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 417818940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z*z\/(z**9\/z))\/(z*z**(-1\/3))*(z*z**(-1))**20 assuming z is positive.\nAnswer: z**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*j**4*u*w + 2*j**3*u*w + 58*j**3*u*z - 2*j**2*u*z + j*u*w*z - 2*j*u*w - 4*j*w*z - 2*z wrt j?\nAnswer: 48*j*u*w + 12*u*w + 348*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}