diff --git "a/data/dm_maths/full_data_1/206_11255.jsonl" "b/data/dm_maths/full_data_1/206_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/206_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Differentiate -2*b**2*c**3 + b**2 - 25745*b*c**4 + 16*b - 144 wrt c.\nAnswer: -6*b**2*c**2 - 102980*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1194207 divided by 398069.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 579 or 41085\/71?\nAnswer: 41085\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 - 3*q**4 + 3*q**4)*(2*q - 2*q + q) + (0 + q**2 + 0)*(5*q**3 - 3*q**3 - 4*q**3) + (-296 + 296 - 43*q)*(0*q**3 + q**4 + 0*q**3).\nAnswer: -46*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -340\/3 + 112. Let y = -1\/5 - -7\/10. Which is smaller: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/sqrt(2))**2 + sqrt(2736)*1.\nAnswer: 12*sqrt(19) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(704) - -2*sqrt(22)\/sqrt(2))**2.\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = h - 25 - 25, -94 = -4*v + h. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 12:28 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.4472+-0.5\nAnswer: -0.9472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -791, -1967, -3625, -5765, -8387, -11491?\nAnswer: -15077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**5\/20 + 267*a**4 + 570312*a**3 - 3613*a**2. Suppose v(w) = 0. Calculate w.\nAnswer: -1068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -539*g**4*i + 17*g*i + 2*g + 3 wrt g.\nAnswer: -6468*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/3))**(-49)*o**(-1\/6)*o*o*o\/(o*((o*(o\/o**7*o)\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(-113\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31632485 is divided by 675.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**0)**41 assuming a is positive.\nAnswer: a**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*v + 10 = -116*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 84*b**2 - 2*b - 5. Is a(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -5*q + 21538*w - 21540*w - 8, 66 = -q - 3*w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/5))**(2\/91) assuming a is positive.\nAnswer: a**(-8\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 8*o**2 - 8*o + 1. Let t be w(-7). Suppose 0 = -3*k + 1 + t. Differentiate -3 - k*m**4 - m**4 - 6 - m**4 with respect to m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 6:10 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a + 12. Let m be a\/(1 + (-14)\/20). List the prime factors of (1\/(-1))\/(1\/m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 + -10608609?\nAnswer: -10608708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -518002, -518000, -517998?\nAnswer: -517996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1106 + -94. List the prime factors of s.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 14*w = 0. Let z(u) = w + 126*u + 0 - 124*u. Let x(t) = -13*t**2 + 1. Calculate x(z(f)).\nAnswer: -52*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zizzzizzzzzzzzzzii. What is prob of sequence ziz?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(-43)\/z)*z*z*z**(2\/3)*(z\/((z*z\/(z*z**(-17)*z)*z)\/z))\/z**(3\/22) assuming z is positive.\nAnswer: z**(2081\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(4 + sqrt(700))**2.\nAnswer: -2867 - 320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3370675 and 0.0636.\nAnswer: -3370674.9364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + (-104)\/39)*-6. Calculate the highest common factor of m and 713.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -38*g + 6 + 1 + 2. Let f be w(-9). Let p = f - 208. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/37 (b) 3 (c) -0.01 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/18*(-3)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**2 - 4*q - 1. Let n(f) = -16*f**2 + 12*f + 3. Let s(j) = -3*n(j) - 8*x(j). Is s(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30249904.57 to the nearest 100000.\nAnswer: 30200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-14) - 52\/(-14). Suppose 4 = z*m - 0*m. Let x be 2 - -35*m - -2. Calculate the greatest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(235*c**2 - 425*c**2 - 1024*c**2)*(5*c - c - c).\nAnswer: 3642*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3774\/(-66) - (-2)\/11)*-1. What is the smallest common multiple of (-5)\/(-6) - (3 - j\/18) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-1 - (-10)\/5). Solve f*a = 2*a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -33*u**3 - 2*u**2 - 4. Let c = 16723 - 16727. Let z(s) = 67*s**3 + 4*s**2 + 9. Give c*z(p) - 9*t(p).\nAnswer: 29*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6479426018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -12*g**5\/7 - 29024*g**4\/7 - 17530476*g**3\/7 + 3347896*g**2 + 5837040*g\/7 - 11712800\/7 = 0.\nAnswer: -1210, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14513 (base 8) to base 7\nAnswer: 24610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150386 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -879 (base 13) to base 10.\nAnswer: -1452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9574385 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 51. Let y = k + 27.9. Let f = 2.6 + y. What is the smallest value in f, 2\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0, 4, 2\/5, -0.2.\nAnswer: -0.2, 0, 2\/5, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14*n. Let p(i) be the second derivative of -1\/2*i**3 + 0 + 0*i**2 - 55*i. Calculate s(p(h)).\nAnswer: -42*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w. Let g(v) = 5*v**3 - 6*v**2 - v. Let x be g(1). What is r(x)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((15\/20)\/3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.2, -0.1, -2, -4\/7, 7\/8, -2\/3 in ascending order.\nAnswer: -2, -2\/3, -4\/7, -0.1, 7\/8, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*v - 606 = 0, 2*n + 4*v - 610 = 3*v. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 3 + 47. Suppose -12 = -h*f - 17. Let j be 1 + 0 + (-6)\/14. Which is the nearest to -1? (a) -1\/3 (b) j (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9582*c*g**4 + c*g**2 + c*g + 6*c - 174*g**2 - 2*g wrt g.\nAnswer: -229968*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, e: 5}. Give prob of picking 3 e.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, -8, 1 in increasing order.\nAnswer: -10, -8, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -112410344 (base 6) to base 15\nAnswer: -2b2d6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/(72\/(-6)) + -1)\/(0 + -3). Let b = -0.79 - -0.19. Put s, 4, b, -2 in ascending order.\nAnswer: -2, s, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -69. Calculate the remainder when 275 is divided by x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 26*k**2 + 24*k - 12. Let v be o(-2). Solve 0 = 17*x - v*x - 54 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 y when four letters picked without replacement from yeyeeeeeeyeeeeyeeeee.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5. Let f(n) = -4*n + 17. Let v(h) = -f(h) - 2*r(h). Give v(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*j**5 + 10*j**3*r**3 + 25*j**2*r + 2*j + 5*r**3 wrt j.\nAnswer: 360*j**2 + 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, m: 2}. What is prob of sequence www?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -0.9. Let h = o - -1.099999759. Round h to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161347764 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 65, 232, 515, 914, 1429?\n\"Answer: 58*h**2 - 7*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68531 + 117820. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + 2. Let u(h) = -h + 125. Let l be u(-18). Suppose 2*q = l - 135. Solve y = q*d - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.17, 0.4, -1429193?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 2:43 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 2. Let u(v) = v - 3. Let g be u(7). Let k(r) = -5 - 7 + 4 - 4*r - 1. Let d(b) = g*k(b) + 18*z(b). Let y(j) = 2*j**2. Calculate d(y(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 5) to base 10\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 37 = -v, 539554*v - 5*k + 135 = 539551*v for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 2*p**2 - 1. What is the remainder when 30 is divided by y(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/8 and -33\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 167, 1051, 3243, 7331, 13903?\n\"Answer: 98*g**3 + 66*g**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.58268 rounded to 1 decimal place?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + (-26)\/(52\/18). Which is the nearest to -4? (a) 3 (b) n (c) -8 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19290198.\nAnswer: 2, 3, 53, 60661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*d - 3. Suppose d*i = 328 + 616. Find the common denominator of -8\/9 and ((-5)\/20)\/(10\/i).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5 + 20, 15 = 5*r - x. Let v be (r\/3)\/(10\/390). Let y = v + -9. Solve -h + 13 = 3*p, -3*p - 5*h = -0*p - y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5590227 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 538\/12 - (156\/(-42) - -4). Let r = q - 106481\/2436. Calculate the common denominator of 67\/16 and r.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**3)**27 assuming f is positive.\nAnswer: f**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -2.1. Let b = -2.1 + l. Let h = 236 - 241. Sort b, 0.5, h in ascending order.\nAnswer: h, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-10)*(-24)\/180?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q*q**(-46)))*q\/(q**(-3)\/q)*(q**(-28))**31 assuming q is positive.\nAnswer: q**(-908)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6441296?\nAnswer: 2, 402581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 5, -5.308?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.2. Let r = g + 0. What is the nearest to r in -5, -2\/7, 1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*s + 4*l, 0 = -l + 1 + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v + 15*v + 11*v + 27*v + 16*v - 95*v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524 times -20.1905?\nAnswer: -30770.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 43 + 17. Let a(i) = 2*i**2 + 4*i. Calculate the least common multiple of a(-3) and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111\/392 + -1\/392. Let u = -17 - -10. Which is the closest to u? (a) -0.5 (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 26 = 128. What is the greatest common factor of 14 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 3*p**2 - 3*p**2)*(-5 + 3 + 0) - 164*p**2 + 164*p**2 - 40*p**3 + (-p - 4*p + 3*p)*(-2*p**2 - 1 + 1).\nAnswer: -34*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/3))\/(s*s\/((s**2\/s)\/s)) assuming s is positive.\nAnswer: s**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212 - -228. What is the greatest common factor of y and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmvddddddv. What is prob of picking 2 v and 1 m?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 6396?\nAnswer: 6393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12049024 and 1552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s - 15. Let d(y) = -7*y + 33. Let i be d(4). Suppose 9*c = -4*j + i*c - 36, 0 = -4*c - 12. What is f(j)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.54 - 0.54. Let p = 0.3 - r. What is the second smallest value in p, -0.2, -6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -2 + 33\/2*x**2 - 2*x. Is v(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -149 - -89. Let w = 28 + o. Let h be (w\/(-24))\/(1\/3). Solve -h = 4*u - 6*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-9)\/36*(-2)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(3\/3)*1)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 101331113 (base 4) to base 5\nAnswer: 4323214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 2*d + 15. Give i(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 4*i - 12. Let m(q) = q - 1. Let d(v) = 2*v - 8. Let w be d(7). Let t be m(w). Sort 2, t, i in decreasing order.\nAnswer: t, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23012138 - -23012137.0360581. Let w = -0.964 - f. What is w rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2353.358 nanograms in kilograms?\nAnswer: 0.000000002353358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2490 and 28\/29465.\nAnswer: 176790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 518, 723, 660, 341, -222, -1017?\n\"Answer: 2*t**3 - 146*t**2 + 629*t + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 267\/11 - (2 - (-38)\/(-22)). Suppose -r + 4*r - 24 = -5*k, -4*r + 32 = 2*k. Calculate the highest common divisor of f and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 2. What is the remainder when n is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-7) - 19\/(-7). Let y be ((-35)\/21)\/((-1)\/l). Suppose 0 = y*i + 2*m - 135, 3*i = -0*i - 5*m + 100. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a1 (base 15) to base 5.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 28, 5\/2 in decreasing order.\nAnswer: 28, 11, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 - 16*m**2 - m + 29. Let b be t(-9). What is the common denominator of ((-495)\/b - -4)\/((-8)\/(-10)) and 111\/28?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 2*j + 2*j)*(3 - j - 3) - 2*j**2 - 2*j + 2*j + 15*j**2 + 155*j - 155*j as y + x*j**2 + v*j and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87430657?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**3 + 2*s**2 + 5*s + 6. Let p be -5 + 10 + (-2)\/1. Let a(h) = 4*h**3 + h**2 + 5*h + 7. Let q(m) = p*l(m) - 2*a(m). Calculate q(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -211, 6\/17, -1, -0.3, 2 in descending order.\nAnswer: 2, 6\/17, -1\/4, -0.3, -1, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 8850948?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 413 and 5310.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(1300) + sqrt(52))\/sqrt(2))\/(sqrt(2) - sqrt(10)\/(sqrt(80) + sqrt(5) - sqrt(5))) + -1)**2.\nAnswer: -96*sqrt(13) + 868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**4\/12 - m**3 - 19*m**2\/2 - 29*m + 71. Determine f(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(-5 - 2 + 2)*(3*s + 1 - 1).\nAnswer: 45*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 23*n**2 + 267*n + 530. Calculate l(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-3\/2)\/m))\/((m**(1\/2)*m)\/m))\/(m*m*m**(-5\/2)*m*(m**(-1\/5)*m)\/m)*((m*m*m**(-1\/3))**(-40\/7))**1 assuming m is positive.\nAnswer: m**(-1433\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 1. Let q be p(-12). Let v = -3 - q. Suppose 0 = -c + 12 - v. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 385 = 2*t - 5*t, 265 = 2*t - n. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 3*b**2 - b + 1. Let i be p(2). Let u = 3 + i. What is the remainder when 2*u + (0 - 1) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7407 divided by 10?\nAnswer: 7407\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 7:24 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -123401023?\nAnswer: 123401032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*s = 20, 5*q - s - 7 = -2. Suppose 5*r = -g + 22, q*g + g + 10 = 3*r. Calculate the highest common factor of g and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 148\/18 - (-2)\/(-9). Calculate the greatest common divisor of c and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/98)\/(-13*(-69)\/(-2093))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 g when four letters picked without replacement from {g: 2, o: 2, d: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3973319?\nAnswer: 7, 23, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -132, -491, -1262, -2601, -4664, -7607?\nAnswer: -11586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 9*h - 10. Let a be x(-12). Does 4 divide a\/1 + -4 - (-1 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 0. Let d be 52\/8 - 2\/4. Let r = -4 + d. Calculate the greatest common factor of x and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4278 and 690?\nAnswer: 21390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + u = 7, -24 = 1278*x - 1267*x - 7*u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 = 2*j. Find the second derivative of 0*s**4 + 4*s**4 - 3*s**4 - 3*s**j - 3*s wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 57 - 59 + 34311*l - 34325*l)*(l**3 + 3*l**2 - 3*l**2).\nAnswer: -14*l**4 - 110*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v - 2*v + 0*v)*(-4*v - 3272862 + 3269180 + v) to b*v + i + x*v**2 and give b.\nAnswer: 3682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 260779207 to the power of 1\/2, to the nearest integer?\nAnswer: 16149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m + 24. Let i be g(-8). Let u = 1.13 + -0.23. Which is the smallest value? (a) -0.4 (b) i (c) -0.2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12371780 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-15))\/(4\/40). Solve x = 4*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2460 + 5525 + 9526 = -1347*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 913164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3439568 to the nearest integer?\nAnswer: 1855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0094889564 and 18.69?\nAnswer: 18.6805110436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 0*t**2 + 3*t**2)*(-4*t**3 - 3 + 34*t - 36*t + 2).\nAnswer: -12*t**5 - 6*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/2*988\/(-133). Let p = s + 37. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v**3 + v + 9*v - 23*v**3 wrt v.\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f + 18. Determine h(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37.521 or 0.1?\nAnswer: -37.521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/937?\nAnswer: 4\/937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -144 (base 6) to base 5\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - k + 3*k)*(-2*k**3 - 2*k**3 + 3*k**3) + 0*k + 0*k + k**4 + k**4 + k**4 - 5*k**4.\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 515 divide 23833990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 2*y - 4*g, 40*y = 43*y + 67*g - 536 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + j - 13 = -j, 4*a - 19 = -j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 12.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -105621, -105611, -105587, -105543, -105473, -105371?\n\"Answer: r**3 + r**2 - 105623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(112)*-1.\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 14. Let c be h(12). Let m be (-15)\/(-6) + 21\/c. Let v be 78\/4*4\/6. Is m at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*s**3\/3 + 1562864*s**2\/3 + 390707*s + 73257.\nAnswer: (s + 24419)*(8*s + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12100 (base 5) in base 13?\nAnswer: -543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/279 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16.4 or 52.6?\nAnswer: -16.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*((0 + sqrt(4608) + 0)*-3*1*-1)**2 + 3.\nAnswer: -41470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 23671 (b) -3 (c) -5\/3 (d) -2\/11 (e) 3\/4 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -14, 0.002, 4, 44?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, -9, -18, -31, -48, -69?\n\"Answer: -2*x**2 + x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-44)*33\/(-12)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 c when four letters picked without replacement from {f: 5, c: 15}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecllfleelllllleeellf. What is prob of sequence eelf?\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 4:24 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 6 = 0, -4*y + 1038*o + 32 = 1019*o - 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-120)\/70)\/(2\/(-42)). Suppose -14*s - 220 = -y*s. Solve -s*x + 2*x = 40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336 and 1406328.\nAnswer: 2812656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njpqnmmt. Give prob of picking 1 n and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-271 + 311)\/((-2)\/6 + 1). Let o(c) = 60*c**2. Let h be o(3). Calculate the highest common factor of h and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -183*z**2 + 183*z**2 + 353*z**3 + (-5 + 3 + 4)*(-z**3 + z**3 + 2*z**3) in the form b*z + k*z**2 + l*z**3 + y and give l.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.39*-0.03.\nAnswer: 0.0417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59268 + -37701. List the prime factors of o.\nAnswer: 3, 7, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4837, 5082, 5387, 5782, 6297, 6962, 7807, 8862?\nAnswer: 10157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 - 11*p + 1. Determine d(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 24. Calculate the remainder when 113 is divided by j(15).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6383 is divided by 245?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 258084102 to the power of 1\/3, to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 5. Let j be r(-7). Suppose 0*g - 8 = -j*g. Suppose g*v = -v + 15. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 14*t - 3. Let g be a(10). Suppose 4*f + g = 437. Let v = f + -40. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150702911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 47 + 97 = 0. Let q be (h + 16)*(1\/(-2) + 1). Put q, 1, -57 in ascending order.\nAnswer: -57, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.029*-1.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 333455204*v**3 - 7022285*v + 11?\nAnswer: 2000731224*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202220210112 - 0?\nAnswer: -202220210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/212? (a) 3\/7 (b) -37 (c) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04112 rounded to four decimal places?\nAnswer: 0.0411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/4020?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*k**2 + 13*k**3 - 17*k**2 + 61*k**3 + 2*k**3 + 1 wrt k.\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44839225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1 - (-32 + 62 - 30).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 6:45 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2 and -74\/1646277?\nAnswer: 3292554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 40 = 4*i, 6*o - o + 2*i = 30. Suppose -4*l + 200 = 4*y, -5*l + 0*y + 250 = -o*y. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 9*z**2 - 20*z - 60. What is q(-10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -114226877.3 and 16175.\nAnswer: -114210702.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**4\/12 + 29*y**3\/6 + 12*y**2. Let h be s(-7). Let w be h*(3 - 20\/12). What is the greatest common divisor of 8 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k**2 - 2*k**2 + 0*k**2)*(-k + 0*k + 3*k)*(0 - 5 + 4).\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/9 - (-7)\/21. List the prime factors of 25 + -4*d\/4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23557*r**2*t*z**3 - 2*r**2*t - 45*r**2*z**2 + r*z**2 + r + 5*t*z**2 wrt z?\nAnswer: 141342*r**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.4 (c) -14 (d) -3 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q + 6*q + 41*q)*(q**2 - 4*q**2 + 2*q**2 + (-4*q + 4*q - 2*q)*(-2 + 2 - q) - 2*q**2 + 5*q**2 - q**2).\nAnswer: 117*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2, -4, 45650, -3.\nAnswer: -4, -3, -2, 13, 45650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121184*a**3*i**3 - 1502*a**3 - 2*a**2*i**4 - 40*a**2*i**2 - 2*a*i**2 wrt i?\nAnswer: -727104*a**3 - 48*a**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0231*1.2.\nAnswer: 0.02772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, m: 14}. What is prob of sequence xm?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020815 to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**4\/24 - p**3 + p**2. Suppose 0 = 8*j - 3*j - 30. Let o be k(j). Solve 2 = -o*d + d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 621*-689.43.\nAnswer: -428136.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*k + 2116, 3540 = 5*k - 24*a + 19*a. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/683353 or 0?\nAnswer: 1\/683353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/10*4\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34087290.3 to the nearest 100000.\nAnswer: -34100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5985902 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/33 and 2\/36*7889\/5957.\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 247*m + 91. What is the tens digit of y(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -755688 or -0.02?\nAnswer: -755688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 819, 1625, 2421, 3201, 3959, 4689, 5385, 6041?\n\"Answer: -n**3 + n**2 + 810*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1248 = 4*f - 8*f + m, 2*m = 3*f + 936. Is ((-3098)\/(-6))\/((80\/f)\/(-10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/20*((-4)\/2 - (-504)\/(-108)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in -6\/7, -0.1, -0.5, 2\/3, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5790?\nAnswer: 2, 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2127 (b) 2 (c) -3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 420579385 and 1?\nAnswer: 420579384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -7) + (1 - -2). Suppose 5*v - 30 = -h. Suppose v*f - 1092 = t + 3*t, -4*t = 4*f - 1084. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o - 6*o - 5*o**2 - o**2 + o**2 - 2*o**2 + (-120*o + 134 - 134)*((-2 + 2 + 2)*(-o + o - o) + 3 - 3 - o) in the form x + g*o + f*o**2 and give f.\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 3:35 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 a factor of 80994925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 5, q: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4, 5, 139 in increasing order.\nAnswer: -0.3, 4, 5, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.049+-0.047\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -121 - -121. Suppose k = -15*n + 16*n - 3. Solve -4*g - 2*d + 20 = 0, 0 = g + d + n*d - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.02, 0.2, -0.25, 27?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 305.140024918 + -305.14. Round h to six decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75654378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.86*-4089\nAnswer: -3516.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i + 4*z - 208095, 0 = 5*i - z - 1040307. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*o = 150*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 3.618, -0.2, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13541019.2410241 - 13541017. Let a = 38.2410279 - r. Let v = a - 36. Round v to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32.976 - 0.024. Let c = -37.25307447 - -4.25307401. Let y = c - v. What is y rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -37, 2\/11, 3\/4, -1\/6, 2\/15?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 6 + 4*t**3 + 11*t + 7\/2*t**2 + 1\/4*t**4. Is a(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 650*v**3 + 21133*v**2 + 38258568*v.\nAnswer: 3900*v + 42266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/26 and 79\/69896.\nAnswer: 908648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 - 88. Which is smaller: 2\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*u + 57*u - 3899. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.038515 + -678573589?\nAnswer: -678573589.038515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -125, -752, -2493, -5918, -11597, -20100, -31997, -47858?\n\"Answer: -95*t**3 + 13*t**2 - t - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*(-11 + 13). What is the greatest common divisor of t and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154*l**2 - 81*l**2 - 130*l + 107*l - 81*l**2 + 16*l**3 to the form w + x*l**3 + y*l + o*l**2 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 160851\nAnswer: -1\/53617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, k: 1, e: 3, y: 3, g: 1, m: 1}. What is prob of picking 1 g, 1 y, and 1 m?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 235532 (base 6) to base 12\nAnswer: bba8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3365353920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/109 (b) -3 (c) 0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*o + 482, 5*x = 6*x + o - 158. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 225*y**5 - 45330*y**4 + 1181551*y**3 - 1591702*y**2 - 1104416*y - 158688 = 0.\nAnswer: -4\/15, 2, 29, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36*u**2 + 88 + 124 + 3818*u + 161 - 3819*u wrt u.\nAnswer: 72*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -28. Let w = -196 + 202. Calculate the remainder when y is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 363*y**2 - 66*y. Let x(s) = -28*s**2 + 5*s. Let j(h) = 5*k(h) + 66*x(h). Let c(g) = -2*g**2 - 163*g + 163*g. Determine j(c(f)).\nAnswer: -132*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 10:58 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(1\/7))\/r*r*r**(-7))\/(((r*r*r**10)\/r)\/r*r*r**10*r))**21)**(-23) assuming r is positive.\nAnswer: r**13455","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/40)\/(-15*6\/75).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 39*m**3 + 7*m**2 + m - 13. Let y be h(-4). Let t = -1001 - y. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 99 + 6?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2195533 (base 10) in base 3?\nAnswer: -11010112201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/18*17\/(-85).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2562593814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*m + 20, -2*m + m + 44 = 5*j. What is the greatest common factor of 88 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*h - 19, -h - 2*h + 4*l + 13 = 0. Let c = 19 - h. Solve 0 = 3*r + 2*s - 4 - c, -2*s = -4*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3772, -3773, -3774, -3775, -3776, -3777?\nAnswer: -3778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000071251 to 6 dps.\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00045389 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f - 39*f - 7*t + 6*t - 5 = 0, 5*f - 2*t = 4*f + 2*t + 54 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.52167 litres?\nAnswer: 521.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 42081 divided by -13\nAnswer: -3237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u**2 + 6*u - 2. Let h(f) = -6*f**2 + 5*f - 2. Let m(r) = -4*h(r) + 3*s(r). Let o be m(2). Suppose -28 = -z - 22. Solve -z*a - o = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106 or 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**3\/3 + 5*t**2\/2 + t + 23. Let f(y) = 7*y**3 - 1. Let j be f(1). Let r be w(j). Sort -2, r, 1 in ascending order.\nAnswer: r, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 12. Calculate h(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 11 + 5 = 0. Suppose -3*s = -4*w - 27, 2*w - 7*w + 27 = 3*s. Calculate the remainder when s is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2\/11, 1, -0.074?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*y - 2 = 0, -5 = 4*s - 5*y - 2. Let k be 6\/15*(s - 188). Let l = k + 168. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b\/(b\/b**(-4\/7)))*b**(2\/5)\/b)**(-3\/25) assuming b is positive.\nAnswer: b**(108\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 - -1) - (-2 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9090)\/(-4)*4\/2. Let g be (-12)\/(-40)*(6 + -4 + 8). Suppose r = -g*i - 2*i - c, 4*i - 9132 = 2*r. What is r rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61695 and 6885?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 - 3*y - 6*y - 2*y**2 + 4*y. Let t be 1*3\/(0 + 1). Give d(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -4\/3, -0.2, -0.06, -3, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3, 2*x + 17 = 2*o + 5*x. Suppose o*a - 18 = -5*m, 0 = 2*a - 0*a - 2*m. Let l = 15 + -15. Solve -p - 8 = -a*t, -5*p + 3*t - 7 - 12 = l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -669 divided by 2\nAnswer: -669\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.99 + -3. Let v = h - -0.01. Is v not equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -49400\/5549?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 14 = -2*j + 2*w, 2237*j = 1121*j + 1122*j + 5*w - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6266 and 0.0367?\nAnswer: 229.9622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -5. Is l smaller than 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033971 (base 11) in base 10?\nAnswer: -1820644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**6\/60 + o**5\/10 - o**4\/6 + 2*o**2 + 29*o. Factor c(a).\nAnswer: -2*a*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**2 - 20740976*l + 26886755339536 = 0?\nAnswer: 2592622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from giyyyigiigyigyyiy.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37190, 148777, 334744, 595085, 929794, 1338865, 1822292, 2380069?\n\"Answer: -i**3 + 37196*i**2 + 6*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 3420 + -3419. What is the fifth smallest value in 0, 3.4, d, 0.09, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 130610*a + 4264743025.\nAnswer: (a - 65305)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:16 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**3 - 7*o**2 - 145*o + 463. Let h be g(3). Solve 0 = -24*m - h - 47 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62533.75 kilometers in nanometers?\nAnswer: 62533750000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*m = 85*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*l = 1583*l - 41644 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74837546 and 1148?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -17*x + 1. Let q(y) = -6*y**2 + 5*y + 5. Let p(g) = 3*g**2 - 2*g - 2. Let b(z) = -5*p(z) - 2*q(z). Calculate b(l(j)).\nAnswer: -867*j**2 + 102*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 12. Let a be m(12). Suppose 2*o - 2*j - 40 = a, -2*j = -3*o - 0*j + 64. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 601 - 381. List the prime factors of a.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 13) to base 11\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*g + 5*h, g - 3*h - 37 = -27. Suppose -3*f = 4*b - 193 - 1986, -2*b + 1084 = -g*f. Does 32 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412430 (base 5) to base 2.\nAnswer: 11010010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 + 49*s - 63. Let k be c(21). Calculate the greatest common factor of k and 861.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*t + 1309*t - 8845 = -8463 + 89213 for t.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3 or 0?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**2*v**3 + 30*g**2*v**2 + g*v**3 - 7*g*v + 2*g wrt g.\nAnswer: -8*v**3 + 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7*2\/(-12)*(-21)\/(735\/40)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 4*q - 3. Let z(o) = -o**3 + 26*o**2 - 32*o - 46. Let d be z(24). Let j = d + -345. Let u(s) = 2*s**2 - 9*s - 7. Give j*f(k) + 3*u(k).\nAnswer: -k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 616 and 66.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11404, -22850, -34304, -45766, -57236?\nAnswer: -68714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-6 - -9) + (9 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 51, 55131.\nAnswer: 5, 51, 55131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*r - 171*r + 6 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-13)\/(-26))\/(11\/11)*-31?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -57, -103, -179, -285, -421?\n\"Answer: -15*l**2 - l - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01796 rounded to four dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*z. Suppose z*l = l - 56. Suppose j - 4*c - 29 + 5 = 0, -3*j + 16 = 2*c. Calculate the greatest common factor of j and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87804722 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from jmlllljjlljlljljm?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72823 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90.997 - -20648.\nAnswer: 20738.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z + 73 + 143. Calculate the remainder when (-41*(z\/3)\/4)\/2 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 10. Let j(f) = f**2 - 9*f - 9. Let c be j(o). Calculate the highest common divisor of 81 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 88 = -0*g - g, k - 22 = 2*g. Let f = -9 - -15. What is the lowest common multiple of k and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + -1 - (sqrt(7) - (sqrt(112) + 4)))*-3)**2.\nAnswer: 702*sqrt(7) + 10728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2727 and 8480133.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 323792 and 1510400?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epppppfpeppfppze. What is prob of sequence fp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-272)\/(-2040) - (54148\/(-15))\/1?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*b - b = -2968, 0 = 4*b + 8. Is (-3 - c) + (-6)\/(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32149 is divided by 69?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2607218068.\nAnswer: 2, 7, 13, 73, 107, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 5. Let b(r) = -6*r + 14. Suppose j - 3 - 12 = -5*g, -3*j = 3*g - 9. Let s(i) = g*b(i) - 8*m(i). Calculate s(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -57*z. Let i(d) be the first derivative of 5\/2*d**2 + 97 + 0*d. What is v(i(t))?\nAnswer: -285*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljajl. Give prob of picking 1 j and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**2 - 6 - 1 - 6 + 19*m + 5.\nAnswer: 7*m**2 + 19*m - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 643 by -14691.\nAnswer: -643\/14691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6788160*g**4 + 8726937 wrt g?\nAnswer: -27152640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 45*k**2 + 46*k + 134. Let x be u(-46). Solve x*l + 49 = -621 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -15*s**3 + 2*s**2 - 1. Determine g(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 739964315 + -739964320.65999399. Let r = x - -5.66. Round r to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-17 + (-66)\/(-6))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 295\/(-708)*-48*(-3)\/3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(-12))**31 assuming f is positive.\nAnswer: f**372","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -8*p**3 - 2*p**2 + 2. Let a(r) = 33*r**3 + 9*r**2 - 9. Let u(k) = 2*a(k) + 9*b(k). Let o(f) = 7*f**3. What is 5*o(n) + 6*u(n)?\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-3\/7)*x*x*x*x**23\/x assuming x is positive.\nAnswer: x**(179\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 19*o + 29. Calculate t(14).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -505\/13 or -38?\nAnswer: -505\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6331311 - 21?\nAnswer: 6331270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432819539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 1443*r**4\/2 - 2*r**3\/3 - 186*r**2 - 2*r + 14331. Find the third derivative of x(i) wrt i.\nAnswer: 17316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*u + 61160 - 15724 = 1124*u + 279*u for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -1286?\nAnswer: -1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -135 - -133.62. Let n = z - -1. Let v = n + 0.3704. Round v to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -33. Let n(a) = -a + 5. Let b be n(9). Let p be 12\/5*b\/16. What is the third smallest value in 0.3, q, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/44)\/((-2)\/22) + (-14)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/((-5700)\/(-1820)) + 6.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1463)\/(-14))\/11*69\/92*16\/(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/11 - 7049892*g**2 + 751727357875224*g\/11 - 1503454405555216\/11.\nAnswer: 2*(g - 19387202)**2*(g - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -4 (c) 2\/3 (d) 0.04 (e) 16.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09181 + 0.11181. What is the fifth smallest value in k, -4\/7, -13, 0, -4\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 + -35)\/(4\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-20 + 17 + 16 - -12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-178365)\/(-2820))\/((-161)\/(-112))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 + (-396)\/(-432). Put 3, 0.3, k, 0.09 in descending order.\nAnswer: 3, k, 0.3, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -5*n - 6, -48604*c + 48607*c + 3*n + 6 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/(-24) - (-1)\/(3894\/12236). Let n = d - 96\/59. What is the common denominator of n and 7\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**2 + 13\/6*p**3 - 18*p + 0. Let n(f) = -f + 1. Determine j(r) + 2*n(r).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -313200200 (base 4) to base 8\nAnswer: -674040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 203141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + 3 - (-338 + 396).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/3)\/(-3) - -9. Suppose 6 = 2*f + 2. Let s = 5 + f. Which is greater: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -347 - -344. Put 15, -1, b in ascending order.\nAnswer: b, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 2*i**2 - 6*i - 1. Let n be m(-5). Is (n\/(-4))\/((-3)\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**2 + 2522280*o - 5044580 = 0.\nAnswer: -504458, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 2*a + a. Let f(c) = 3*c - 3. Let s(r) = r + 1. Let p(w) = f(w) + 3*s(w). Calculate o(p(l)).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 3524?\nAnswer: 3524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21956, -21910, -21820, -21674, -21460?\nAnswer: -21166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*g**2 + 1 + (2 + 2 + 1)*(4*g**2 + 5*g**2 - 7*g**2) + 2*g**2 - 3*g**2 + 0*g**2 to the form y*g + d + m*g**2 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1061 is divided by 266?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -1148137*y. Let x(q) = 4*q. What is x(l(t))?\nAnswer: -4592548*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6990529 is divided by 63?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16112785 to the power of 1\/2, to the nearest integer?\nAnswer: 4014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3248430*j + 3248270*j - 24320 for j.\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 192860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(2016) - sqrt(2016)*1) + sqrt(2016))\/sqrt(8) + (sqrt(28) - (sqrt(308)*1 - sqrt(308))\/sqrt(11)).\nAnswer: 4 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 5*w + 4, -n + 179 = 4*w + 190 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -45225 (base 7) in base 16?\nAnswer: -2cac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/6)\/(99\/(-12)). What is the smallest value in h, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -19. List the prime factors of y + -3 + 1\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + -4*(sqrt(68) - (sqrt(68) + 0))**2*1*-1) + -5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 950 and 770?\nAnswer: 73150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1146.474825 to zero decimal places.\nAnswer: -1146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a factor of 110461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/15 - (-68)\/(-1190)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 83*t**7\/42 - 137*t**4\/12 + 133*t. Find the third derivative of n(y) wrt y.\nAnswer: 4980*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15890 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: Solve 0 = 3764*q - 3760*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4906, 9819, 14728, 19627, 24510, 29371, 34204?\nAnswer: 39003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uux when three letters picked without replacement from xxxxuxxuxxxxxxxxxxux.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/(-2) - 2\/(-4). Suppose -6*p - 12 = -2*p. Let m = p - w. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -710*a - 75. What are the prime factors of b(-14)?\nAnswer: 5, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 34089136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 3*o + 3*o - 1895 + 938 + 957.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 12)*(-6)\/(-30)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23586323, -23586319, -23586315?\n\"Answer: 4*i - 23586327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -132 + 152. Let d(o) = 3*o - 52. Let j be d(c). Solve j*g + 10 = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46145*p**3 + 44032*p wrt p?\nAnswer: 276870*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 4*j + 1. Let h(g) = -7*g - 6. Let o be h(-4). Suppose 0*i + o = 4*i + 2*b, -b = 3*i - 14. Let x be ((-8)\/12)\/((-1)\/i). Calculate v(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2 - (-13 - (10 - (15 - -13)))) + -33\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -5*n - 2*u, n + u - 15 = -u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1137 - 10?\nAnswer: -1147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 2:39 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143 (base 14) to base 6.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -3*y + 21*f, -32*y + 11*y + 2*f = -1042 for y.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5615855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (11 + (4 - 32))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.2 + 1.2. Let o = 715.8 + -716. Which is the nearest to -1\/3? (a) -1\/3 (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.47 + -0.5. Let f = -0.43 - h. Which is the biggest value? (a) 1 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - w + 2)*(-4 + 0 + 2 + (0 + 1 - 3)*(2 - 1 + 1) - 3 + 2 - 1 - 3 - 2 + 6 + 0 + 0 - 2 + 2 - 3 + 0 + (4 - 3 + 1 + (2 - 3 + 2)*(-1 - 1 + 3))*(2 + 6 - 3)).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 take away 589.061577?\nAnswer: -589.271577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 9\/5 (b) -3468 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1. Let i be (v + (-21)\/(-9))*(-3)\/(-22). Which is the closest to -1\/5? (a) -0.4 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5280 and 28320.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 - 4*c + 10. Let d be q(3). Let v(a) = -a**2 + 30*a - 12. Is v(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -294 and -20.\nAnswer: 5880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-2)*(-6)\/36. Let g = 8.5 - 8. Which is the second biggest value? (a) v (b) -1\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 12 = -a, 0 = 4*a - 4*u + 30 + 38. Suppose -135 = -2*d - 3*d. Let f = a + d. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + sqrt(200)*3 + sqrt(200))\/(-3*sqrt(360) - sqrt(10)))**2 + (sqrt(35) - -1*sqrt(2835))\/(sqrt(7) - -1*3*sqrt(7)).\nAnswer: 500\/361 + 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1903533?\nAnswer: 3, 634511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 563.6 (b) -86 (c) 3.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*g*q**5 - 2*g*q**4 - 7*g*q + 2*q**3 - 446*q**2 wrt q?\nAnswer: 1200*g*q**2 - 48*g*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-90))\/((-1)\/(-3*1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65.74131*-0.24.\nAnswer: -15.7779144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -22*z**3 + 4*z - 1. Let g be a(-3). Calculate the highest common factor of g and 332.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11251 and 0.2692.\nAnswer: 3028.7692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 877 - 876. Let c be (1*10)\/(-2)*-1. Put i, -5, c in descending order.\nAnswer: c, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) - (-88)\/12. Let x = v - 3. Suppose -5*g + 23 = x*p, -g = -2*p + 3*g - 8. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + -44a3?\nAnswer: -44a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 132*b*d*l + b*l*x - b*l - 4*b*x - 34*d wrt l.\nAnswer: 132*b*d + b*x - b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -204029*m**5 - m - 3940.\nAnswer: -4080580*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4500395 and 96575.\nAnswer: 22501975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (11 - (0 - -9) - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000032642 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnyy when four letters picked without replacement from {n: 2, y: 6, e: 4, m: 3, h: 1}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*u**4 - 166*u**4 + 22*u**4 + (-44*u + 44*u + 19*u**3)*(u - 1 + 1) to w + f*u + x*u**4 + l*u**2 + r*u**3 and give x.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 r when four letters picked without replacement from {z: 8, r: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25278, -61356, -97434, -133512, -169590?\n\"Answer: -36078*x + 10800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3\/5 + 102*x**2\/5 + 198*x\/5 + 98\/5 = 0. Calculate x.\nAnswer: -49, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**6\/40 + a**5\/15 + 14*a**2. Let l(i) = 2*i**3 - 3*i**2. What is 4*l(b) + 3*q(b)?\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8914*a**4 + 3*a**3 + 18*a**2 - 104*a - 3. Let t(j) = j**3 - 3*j**2 - 3*j - 1. Let r(u) = 3*t(u) - x(u). What is the third derivative of r(v) wrt v?\nAnswer: 213936*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2. Let s(w) = -4*w + 68. Calculate y(s(u)).\nAnswer: -32*u**2 + 1088*u - 9248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-9*s**2 + s**2 + 3*s**2) + 0*s - s**2 + 0*s**2 - 2*s.\nAnswer: -6*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96189929 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -299\/6 (b) -0.5 (c) 0.87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 1099 + 1099.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -1\/90*t**5 + 0 + 4*t + 1\/54*t**4 + 2\/27*t**3 + 0*t**2. Suppose n(u) = 0. What is u?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 - 119 = -4*o. Let h be (-5)\/14*-2 + o\/203. Solve -3*p = -l + 2, 0 = 4*p - l - 0*l + h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023739 rounded to 5 dps?\nAnswer: -0.00237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 642454027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 0 + -4 + 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9)\/(0 + 1\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q + 2. Suppose 0 = -2*a - 2*u + u - 10, a - 5*u = -5. Let h(m) = -4*m - 1. Calculate a*c(b) - 12*h(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 8 = -5*x, 4*x + 9*f - 6*f = -11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1825537.\nAnswer: 7, 260791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -22*u + 16. Let c(w) = 14*w - 15. Let a(q) = 3*c(q) + 2*r(q). Calculate a(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 11:54 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 50 = -2*i, 2*s + s + 12 = 0. Suppose -6*m = -m - i. Solve 4*d - 5*d = m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, w: 7, m: 3}. What is prob of sequence wm?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 + 27 = 2*o. Let g = o + 104. Solve g*l + 11 = -1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1067 - 1066.9. What is the closest to h in 1\/8, 5\/6, 5\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -181*l**2. Let o(n) be the second derivative of n**4\/12 - 152*n. Give o(y(r)).\nAnswer: 32761*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 - 10760\nAnswer: -10759.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Suppose o - 8 = z*k, o = -2*o. Sort -4\/3, -2, k in ascending order.\nAnswer: k, -2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14888 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12344 (base 7) in base 11?\nAnswer: 24aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -1 + (-1)\/1. Let w(o) = -o**2 - o. Let z be w(l). Suppose -5*c = 3*q - 32, 2*c - 5 - 3 = z. What is the greatest common divisor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-4*-2 + (sqrt(13)*-1 + sqrt(13))*4.\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**8\/20160 - z**7\/720 + z**6\/720 - z**5\/30 + z**2. Let p(r) be the third derivative of y(r). What is p(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1023 = -r. Let n = r - 153. What is the remainder when n is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 12:00 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121.524 + -0.524. Let o = -126 + u. Let j = 7 - 5. What is the closest to j in 1, -2, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y + y - 5*y + y + 8 + y**2. Let i be p(6). Solve -i*z - 1 + 5 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.9 - 21. Let n = y + 0.1. Let m = -5\/9 - -1\/18. Which is smaller: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.907 + 0.007. Let s = k - -6.5. Which is smaller: s or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -45*z**3 - 4*z**2 - 5*z + 8. Let r(f) = 22*f**3 + 2*f**2 + 2*f - 4. Give -5*r(n) - 2*s(n).\nAnswer: -20*n**3 - 2*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108209?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i. Let u(k) = 3*k. Let p(h) = -3*u(h) + 2*w(h). Let j(q) = -13*q. Give j(p(t)).\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77083444 and 16?\nAnswer: 308333776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-6)\/3*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*b - 5*m, -6*b - 35 = -11*b + m. Solve 3*i + 8 = -b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w - 14*w**2 + 4*w**2 + 1690*w + 12*w**2 - 4.\nAnswer: 2*w**2 + 1698*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -330.91 - -332.91. Let k = -3.4 + 2.1. Sort t, k, -1 in ascending order.\nAnswer: k, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5293.\nAnswer: 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(-2\/7)*g))**13*g**2\/g**(-2) assuming g is positive.\nAnswer: g**(145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10691 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31420 is divided by 58.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67299*p = 67283*p - 144 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383 - t + 1251 - 1793 + 6*t + 159.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1696475 - 98\nAnswer: 1696377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 1327 + 3212 - 1886 + 5*j**2.\nAnswer: 4*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 332996 or 3059?\nAnswer: 332996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 15 - 26)*(137 + 8 + 50)*(-4 + b + 4).\nAnswer: -7020*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 649 and 885?\nAnswer: 9735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from {t: 3, y: 8, c: 7, b: 2}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 66000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 211\/748 + -6\/187. Suppose 0 = -6*h + 4*h - 12. Which is the closest to 0? (a) -1\/5 (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*s = 33, 4*h + 5654 - 5641 = 3*s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 1:42 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 5*m - 1. Let s be w(-6). Suppose y + g = 86, y - s*g - 98 = -2*g. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-496)\/(-120) - (-73)\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 1112120210101112?\nAnswer: -1112120210101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 95*h**3 + 3*h**2 + 8*h + 8. Let i(o) = -o**3 - 2*o - 1. Let b(l) = 4*i(l) + w(l). Find the third derivative of b(s) wrt s.\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c + 1. Suppose -v + 0*v - 1 = 0. Let r be o(v). What is the greatest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.91 - 9. Let f = -0.0899945 - z. What is f rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1307480, -2614936, -3922400, -5229872, -6537352, -7844840, -9152336?\nAnswer: -10459840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9125\/26 + -351. Let v = -49\/78 + g. Let z be (-93)\/360 + 1\/8. What is the biggest value in v, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5330241?\nAnswer: 3, 7, 19, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 7. Let q(b) = b - 6. Let v = -3 - -4. Suppose 4*m - 5*o = 31, -m - o - 35 = -5*m. Let i be (-5*v)\/((-9)\/m). What is i*s(c) + 6*q(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(-3623*x - 63*x - 13*x - 194*x - 1265*x).\nAnswer: -5158*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6456*x**2 + 6444*x**2 - 12892*x**2. Let w(s) = s. Let a(j) = -18*j. Let d(k) = a(k) + 9*w(k). Calculate d(q(f)).\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2734313227 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 45. Let i = 30 + -12. What is the highest common divisor of i and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*s**4 - 1983*s**3 + 16*s**2 + s - 11387656.\nAnswer: 12*s**3 - 5949*s**2 + 32*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24719 + -16792. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 219016 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**2 + 11411. Let k(j) be the first derivative of -5\/2*j**2 + 0*j + 1. Give p(k(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*p - 60*p + 2*t - 520 = 0, -p - t + 132 = 0. What is the highest common divisor of p and 120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/18 and -23\/2151.\nAnswer: 4302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67859 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 s when three letters picked without replacement from {s: 4, i: 2, v: 5}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5*w - 83, 0*y - 2*y + 4*w + 110 = 0. Let l = -46 + y. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/45811794 or -1?\nAnswer: 1\/45811794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 13 (b) -2\/19 (c) -0.4 (d) 0 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/80 + y**4\/96 - y**3\/6 + 21*y**2 - 3*y - 6. Let x(f) be the first derivative of d(f). Factor x(b).\nAnswer: (b - 1)*(3*b + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from -2.823.\nAnswer: 5.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/113 and -47\/339?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282389.\nAnswer: 282389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 3*x - 24 = 0, 3*j - 4*x = -3*x - 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 11*n**2 + 14*n + 25. Let i be o(-12). Calculate the remainder when 16\/(176\/979) + (-4)\/i is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 168*s + 22. Let y(n) = 61*n + 8. Let x(v) = 4*w(v) - 11*y(v). Let q(d) = -9*d - 2 + 2. Determine q(x(m)).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + 1. Let w be x(-1). Suppose 2*l + 0*l + 11 = 5*t, -w*t + l = -7. Let u be (-5)\/60*t*1. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -333 and 712087.\nAnswer: -237124971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 96*a**2 - 480*a + 684. Let u(h) = 2*h**3 - 95*h**2 + 481*h - 687. Let p(o) = -6*u(o) - 5*v(o). Solve p(d) = 0.\nAnswer: 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -357 times 0.099?\nAnswer: -35.343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*-1*(-10)\/(-35). Let c(a) = 0*a**2 - a**t - 3 + 4 - 2*a**2. What is c(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, -31, -67, -127, -217?\n\"Answer: -r**3 - 3*r**2 - 2*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + h + 914 = -h, 0 = -2*l + 4*h + 460. Let v = l - 85. List the prime factors of v.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12236 + 12236 - 22*w.\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 - 2*d**3 - 3*d**2 - d**3 + 4*d**2 + 25*d as p*d**2 + x*d**3 + y*d + c and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 14*q**2 - 34*q - 199. Let v be z(30). Is 13181 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 30 = -h, -i + 27 + 74 = 4*h. Let s = 27 - h. Let n(u) = -2*u + 1. Let j be n(-2). Calculate the highest common factor of j and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 50711 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -5*l**3\/2 + 3*l - 48. Let k = -1 - 0. Calculate u(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 4821430944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 74297.93 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 44656612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -5*l + 81. Suppose 5*r = 59 + 1. Calculate the remainder when r is divided by 12\/6*l\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (77 - 154 + 73 + 2*g)*(-17 + 6*g + 17) as n*g**2 + t*g + c and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1957211211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/7, -14, 4, -2\/7, 3, -3\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208, -278, 12, 890, 2584?\nAnswer: 5322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from xexue?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 7*f**2 - 6*f - 14. Let r = -1 + -3. Let k be d(r). Calculate the greatest common factor of k and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 674119886 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.5 (c) 144.61 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d. Let h(i) = -15*i**2 - 1. What is j(h(y))?\nAnswer: 105*y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millisecond in microseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9343*z**2 + 5. Let t be a(-2). Suppose 7*f + 2*f - t = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + (-2)\/(-4))*38\/19. Suppose 20 = 2*j + 4*k, 0*j + j + k = 9. Suppose j*y - 9 = 5*y. What is the greatest common factor of x and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/17, -0.5, -21, 5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 882325295?\nAnswer: 5, 103, 167, 10259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-22)\/4)\/(2\/(-36)). Let o = -181 + i. Let t = o - -120. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -344 - -344.3. Put 72, q, -0.2 in ascending order.\nAnswer: -0.2, q, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 20. Suppose 18 = 4*x - t. Solve -x*q + 8 = -7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(300\/(-36))*(-5)\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19115456 * -4.\nAnswer: 76461824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*q**4 - 23 + 222*q**3 - 126*q**3 - q**4 - 130*q**3 wrt q.\nAnswer: 8*q**3 - 102*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81 and 48?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 20001 = 150*r + 22*r for r.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -20, 11, 9 in decreasing order.\nAnswer: 11, 9, 5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 1. Let w be v(1). Suppose 3*o = 12, w*o + 2*o + 4 = 2*y. 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 common denominator of (-4927728)\/(-12280320) - 4\/10 and 7\/2460?\nAnswer: 19680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308495 divided by -5?\nAnswer: -61699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 3, -25, 0, 0.5, 4703?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.22 (c) 0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -11339*h - 1. Let b(s) = -4*s. Determine b(a(c)).\nAnswer: 45356*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633737151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 157328*h**2 + 27*h + 7913314 with respect to h.\nAnswer: 314656*h + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 291706 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4070)\/(-11) - (2 - 7). Let o = -241 + f. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*n - 21 + 6, 4*n + i = 20. Let a(s) = s - 2. What are the prime factors of a(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, x: 10}. Give prob of sequence uuxx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13707*h = -13730*h + 598. Solve h*k = 43*k + 119 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**2)\/r)\/(r**(-5)*r)*(r**(1\/12)*r)\/r*r**(2\/5) assuming r is positive.\nAnswer: r**(149\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 702, 716, 730, 744, 758, 772?\n\"Answer: 14*y + 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-40))\/(3*(-7)\/28).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7318715 and -5.\nAnswer: -3.6593575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 4*p + 4. Let h be w(-4). Let z be 5 - h - 14\/(-2). Solve -3*n + 25 = -z*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37 and 9.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 160, 316, 472, 628?\n\"Answer: 156*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -195269?\nAnswer: -195264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*p, p = -4*a + 6*p + 1. Let c = 0 - -11. What is the remainder when c is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -11. Let l be (o\/(-6))\/(2\/3). Let q(t) = 8*t**2 - t - 1. Let c(v) = -v**2 - v. Let r(f) = -c(f) + q(f). Calculate r(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1319*x**2 - 1287*x**2 + 85*x**2.\nAnswer: -2521*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 9:05 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -346 - -582. What are the prime factors of x?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422972179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z + 19 = 0. Let l = z + 32. What are the prime factors of l?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/8 - 63*i**2\/4 + 405*i\/2 - 729.\nAnswer: 3*(i - 18)**2*(i - 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17073*t**2 - 34176*t**2 + 17113*t**2.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 97142, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 2, -13, -5, 4125, -3 in ascending order.\nAnswer: -13, -5, -3, -1, 2, 3, 4125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**4\/12 - 14*t**2. Let w(d) = d - 4. Let z be w(6). Let u(i) = 2*i**z - 4*i + 4*i. What is u(v(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 475 - -1?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**6\/24 - 25*t**5\/6 - 3095*t**4\/24 - 475*t**3 + 7363*t**2. Factor n(l).\nAnswer: -5*(l + 1)*(l + 19)*(l + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.74 - -0.26. What is the smallest value in q, -0.04, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/13))**(15\/4) assuming w is positive.\nAnswer: w**(-45\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y - 1. Let j(b) = 37*b - 5. Let m(t) = 2*j(t) - 9*r(t). Let p(w) = w**3 - 4*w**2 + 2*w - 6. Let v be p(4). Calculate m(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*g - 26803 = -1042*g - 79078 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 16. Suppose 3*t = -5*s + 4*s - 6, 5*t = -s - 6. Calculate the remainder when ((-1)\/(3\/s))\/(1\/16) is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from ynnnonyyyn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z = 17548. Let m = 21387 - z. What is m rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**4 - 38*g**3*n - 3*g**2*n + 884*n wrt g.\nAnswer: 12*g**3 - 114*g**2*n - 6*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.1565 - 0.4735. Let c = q + 32. Let g = c + -0.3699957. Round g to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a. Let i(h) = -7*h**2 - 6*h + 4. Let o(p) = 8*p**2 + 7*p - 4. Let t(q) = -7*i(q) - 6*o(q). Let u(c) be the first derivative of t(c). Give u(m(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 11 + 6. Suppose 3*m = 5*t - 52, y*m = 2*t + t - 28. Solve 0 = -4*p + 2*l + 24, -4*p + t = -l - 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 7*a - 1191 = 0. Suppose 8*s - 11*s = -a. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-8)*(-5)\/(150\/48). Which is the nearest to 2? (a) f (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15055, -30070, -45085, -60100?\nAnswer: -75115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 0*a - 3\/8*a**3 + 0 - 231\/4*a**2 = 0.\nAnswer: -154, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.2 and -2103.8.\nAnswer: -2102.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 114.14 to 0 dps.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(52) - 5*(sqrt(156)\/sqrt(3))**2) + 1 - ((-1 + 0 + sqrt(1872))**2 + 5)) + -2.\nAnswer: -26*sqrt(13) + 2135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1.3. Let h = 0.2 - j. Let g = 3 - 3. What is the closest to g in -4\/5, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-596152)\/20 - (-8)\/(-20). Let f = n - -894293\/30. Calculate the common denominator of f and -16\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 679144.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 275075783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 2322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0*x + 3*x)*(-2 + 2 + 9) + (2 - 2 - 2*x + (-1 + 1 - 2*x)*(-2 + 0 + 4) + (-4 + 4 + 2*x)*(-5 - 12 + 0))*(-3 - 1 - 5).\nAnswer: 405*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + x - 27*x - 656 = 0 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.1, -0.1, 0.114?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9223 and 34486.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000 (base 2) to base 9.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 6 - (-70 + 20) - 98\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - 3 - -140 - (-6)\/2. Let d = -709\/5 + u. Calculate the common denominator of d and -71\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.58 + 0.78. Let l = -1.314 - -0.074. Let g = l + -1.76. What is the third biggest value in -8, -3\/4, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20*12\/24*3\/(-3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**3\/8 + 278260*k**2 + 2226079*k\/8 = 0?\nAnswer: -2226079, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121284*j**2 - 600*j + 600*j + 121288*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4207030343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 27*b**2 + 5*b - 63. Let l be y(27). Suppose 6*g = l + 168. What is the lowest common multiple of g and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ayykyyikkyttykkkka.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-25)\/(-40))\/5)\/((-264)\/(-192))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 10*y + 0 + 2 + 0 - 5. Is f(6) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39359 divided by 437\nAnswer: -39359\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*u - 22, 3*u + 24 = 7*u - 4*l. Let b be (4 - 0)*1618\/u. Let f = -1159 + b. What is f rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 + 422*r - 86 - 61*r + 43 - 13*r + (-r - r - r)*(-4 + 3 - 3) as z + k*r and give k.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from divvnqvvinvxvv. What is prob of picking 1 v and 1 i?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {x: 1, f: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5379361423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*j. Let h = -30300\/73 - -6976378\/16863. Let m = 16\/11 + h. What is the third smallest value in -2, j, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**5\/10 - 19*u**4\/12 + u**3\/2 - u**2\/2 + 3*u. Let d(n) = -n**3 - 6*n**2 + n. Let b(l) = 7*d(l) - 2*h(l). Factor b(j).\nAnswer: -(j + 1)**2*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7744\/(-33)*18\/(-4). Suppose -q - 2*d + 247 = 0, -5*q = -2*d - 239 - s. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -157762*w**2 - 42*w + 172. Let y be v(35). Let c = y + 291959748. What is c rounded to the nearest one million?\nAnswer: 99000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8424 divided by -54?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/9 - 25\/(-15)) + 3. Suppose -2*y = -w - 4. Solve -15 = y*s + s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 2 + 1 - 902*y + 4 - 8 in the form n + q*y and give q.\nAnswer: -902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2*(-2 + 4). Let b(k) = -3*k**2 + k + 3. Let s(j) = -7*j**2 + j + 7. Let g(u) = 5*b(u) - 2*s(u). Let x be g(z). Solve 0*a + 6 = -x*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/28)\/((-3)\/21).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 3*g. Let a = -8 + 10. Suppose -16 = a*f - 3*f. Solve -x = 4*c - g*x + 5, 2*c + 4*x = -f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-247)*19\/38?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-1\/49)\/(t**(1\/4))**(-4\/3) assuming t is positive.\nAnswer: t**(52\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105790 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 4*p**2 + p. Let t be v(-4). Let o = -4 - t. Suppose -3*z - 4*d = -63, -4*d = -o*z - z + 5. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2930741 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39545611?\nAnswer: 7, 67, 84319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8 - 235\/20) + 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 32215848 divided by 24\nAnswer: 1342327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 876149814 to the power of 1\/3, to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 9*s**2 - 8*s**2 - 2*s. Let f be n(-1). Let i(d) = -d**3 - 13*d**2 + 15*d + 21. Let r be i(f). Calculate the highest common divisor of r and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 0*q**2 - q**2)*(0 - 1 + 3) + 7*q - 80*q**2 + q + 2*q - 6*q.\nAnswer: -86*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 639172714 to the power of 1\/3, to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2408 - 2148. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**3 - 22*u**2 + 3*u - 3. Let f(q) = -29*q**3 + 10*q**2 - 2*q + 2 + 92*q**3 - 28*q**3 - 34*q**3. Let p(w) = 2*d(w) + 5*f(w). Give p(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2431197669 to the nearest integer?\nAnswer: 49307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rssssxsxassxxxxsrxs. Give prob of picking 1 r, 1 a, and 2 s.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 224 - 145 = 43*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1089)\/(-396) + (-106)\/56)*(-14)\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -39\/2, -1\/3, 4, 0, -4, 6, -1.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 15 = -5*x + 40, -5 = 4*n - x. List the prime factors of -1*((n - 2) + -12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*b**3\/3 + 35927746*b**2\/3 + 40337596135984*b\/3 + 10084396788512\/3.\nAnswer: 2*(b + 2245484)**2*(4*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507863 to the power of 1\/2, to the nearest integer?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 120 = 18*s - 33*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 252 = -3*p. Is 12 a factor of p\/(-9) - (-2 - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 125410?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4*u + 2 = 0, -2621*u = i - 2630*u - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 - 157*q**2 + 1760*q + 762300.\nAnswer: -(q - 63)*(q + 110)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.48 + -87.18. Let y = -73 - t. What is the nearest to 0.2 in -2\/19, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*o + 3*o + 195 = 0, -3*k + 160 = -2*o. Suppose 17*i = 7*i + k. Solve -6*u = 3*w - 2*u + 19, i*w = 4*u + 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6643951*r + 3321975*r + 3321979*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 19. What is the remainder when t is divided by (-6)\/(-4)*(-30)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t - 69. Let a be y(13). Solve 2*h = -h - a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = 12*l - 42. Let c(x) be the third derivative of 0 - 1\/24*x**4 + 0*x**3 - 2*x**l + 0*x. Let g(j) = 5*j**2. Determine g(c(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.803 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 75.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25067, -26142, -27257, -28412, -29607, -30842?\nAnswer: -32117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - -33 - (9 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vez when three letters picked without replacement from {j: 3, e: 4, v: 1, c: 1, z: 5}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -101233 (base 7) to base 14\nAnswer: -641a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73*c - 148*c - 47*c - 192*c - 539 wrt c.\nAnswer: -460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 23. Let h be f(-18). Let y(t) = -6*t**2 + 2*t - 5. Let d(a) = -2 + 2*a**2 + 3 + a**2 - 2*a**2. Suppose p + 1 - 2 = 0. Determine h*d(o) + p*y(o).\nAnswer: -o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 553342373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + w - 2. Let z(o) = -12*o**2 - 6*o + 14. What is -5*m(i) - z(i)?\nAnswer: 7*i**2 + i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 9 (b) -4 (c) 3407.01 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 22140 - 22140 - 886*n**2 as t*n + u + c*n**2 and give c.\nAnswer: -886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2689*o**3 - 2234*o**3 - 3784*o**3.\nAnswer: -8707*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7259, -7164, -7069, -6974?\n\"Answer: 95*j - 7354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7502*x**5 - 32*x**4 - 2*x**3 - 4*x**2 - 3427*x - 1 wrt x.\nAnswer: 450120*x**2 - 768*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.15. Let q = 0.45 - n. Let y = 751 + -8259\/11. What is the closest to -1 in 0.3, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - d = 3, -d + 1 = -2*u + 3. Suppose w - 2*w + 2 = 0. Let c be ((-20)\/w)\/(u\/2). Calculate the highest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 4*y**2 + 3*y + 2. Let z be 3\/(((-9)\/(-2))\/3). Let j = z + 1. What is the units digit of b(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215081980 times -2\nAnswer: -430163960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {k: 2, d: 1, b: 1, g: 2, e: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 7*p**6\/10 - 2*p**5\/5 + 17*p**4\/6 - p - 107. What is the third derivative of u(z) wrt z?\nAnswer: 504*z - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -96 (b) 2\/15 (c) 0 (d) -3 (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.89 + 3.11. Put 3, -0.4, -11, q in descending order.\nAnswer: q, 3, -0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 108? (a) 2\/9 (b) 37 (c) 70\/37 (d) -0.5 (e) 5 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4882 = 168*p + 88*p + 1554. Let u = 5 - 4. Sort p, -3, -4, u.\nAnswer: -4, -3, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -240369.004056 - -240373. Let p = 3.866 - c. Let r = -0.13 - p. What is r rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847)*3 + (sqrt(21)\/sqrt(3) + 3)**2 - -6*(sqrt(154)\/(sqrt(11)*2))\/sqrt(2).\nAnswer: 16 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**4)**(1\/16)\/(j*j**(2\/45)*j**(-12)))**(-18) assuming j is positive.\nAnswer: j**(-4079\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 - 42*i + 13. Let z(b) = 42*b - 1629. Let k be z(39). Determine h(k).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63290.03 nanometers to kilometers.\nAnswer: 0.00000006329003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccsp when four letters picked without replacement from cssspscscpcsicpscpp.\nAnswer: 175\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5427018893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 30 = 35 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -834.14 and -102.\nAnswer: -936.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110000 - 10021?\nAnswer: -1120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.061870894 and 15?\nAnswer: 14.938129106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**2 + 119505*k - 12603150 = 0 for k.\nAnswer: -24006, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1, -4, -0.2, 2\/15, 165 in descending order.\nAnswer: 165, 2\/15, -0.2, -0.3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*k - 732 + 60 = 0, 4*k - 4 = 0. Suppose 0 = -9*w + 24 + 201. What is the greatest common divisor of c and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*c + 8, 10 = 5*q - 0*c - 5*c. Suppose -5*k + 4*k + 15 = 0. Solve q = -5*s - 4*u - k, -3*u + 2*u = 4*s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g + 6*g - g**2 - 3 - 2*g. Let t be x(8). Factor 0*k**2 + 0*k + 1\/4*k**t + 0 - 1\/4*k**3 + 0*k**4.\nAnswer: k**3*(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*o**3 + 2244*o - 12*o**3 - 4155*o + 1914*o - o**2 + o**2.\nAnswer: 98*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uummumvumu. Give prob of sequence uuu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 7 - 1. What is the greatest common factor of 8 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 755816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108 - 31 + 35)*(-5 + 2 + 0 + 2*q).\nAnswer: 224*q - 336","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -258 - -155. Let w = d + 96. Is 7 a factor of (-42)\/(-1) - (0 + w - -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -14*g - 22. Let y(z) = -6*z. What is the lowest common multiple of v(-2) and y(-8)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + (93 - 18 - -30)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 16, 26, 48, 88, 152, 246?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8945223113?\nAnswer: 8945223113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 - a. Let q(b) = -b + 7. Let o be q(10). Let d(l) = -18*l**2 + 2*l - 1. Let h(u) = o*m(u) - d(u). Calculate h(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (2 - 3)) + 48. Let m be (1 + q)\/(-2) + 3. Let n be 58\/7 + 6\/m. Calculate the highest common factor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 26613 = 15345. Let d be 1\/(-10) + 0 - r\/(-2220). Suppose -7 = 4*a - 3. Sort 1\/3, a, d in increasing order.\nAnswer: a, 1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 4. Let d be v(-4). Let o = d + 15. Calculate the least common multiple of o and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - y + 56 - 27 - 13, 32 = 4*g + 4*y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1794 and 637.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 778 + 780 - 1558 - 31*t**2 + 3*t. Let o(s) = 1022*s**2 - 98*s. What is 98*i(z) + 3*o(z)?\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 19209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**3 + 108*a**2 + 85*a - 52. Let h be v(21). What is the highest common factor of 64 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 322482 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 3*o**3 + o + 2*o**3)*(-2*o - 12 + 12)*(-30*o - 8*o + 18*o).\nAnswer: -40*o**5 - 120*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2.04. Let z = 1685 - 1680. Which is the closest to -1? (a) 3\/2 (b) z (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 221196 - 221191. Suppose -4*b + 36 = -5*s, 3*b + 5*s + 8 = -0*b. Solve 4*a + 2*j = -20, -b*a + z*j = -a - 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10614 and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooaoaaooooocooooaoao. What is prob of sequence ooaa?\nAnswer: 91\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*g - 112 = -4, 0 = 5*g + 15. Let q be (-18)\/h - 92\/(-16). Suppose 1 = 2*p - z, -2*z = q*p - z + 1. Is -2 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212 + -221?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 12:45 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18357176 or -18357177?\nAnswer: -18357177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 31286*i + 31287*i = 0, i + 4 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 15 = 2*a. Suppose -18*v + 15 = -a*v. Suppose -v*f = -63 + 8. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g - 545. Let o(d) = d + 96. Let j(s) = -6*b(s) - 34*o(s). Let i(z) = 2*z + 5. Determine -5*i(p) + 4*j(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*c = 39, -7*p + 3*p = 5*c - 33. Find the first derivative of 4 - 5*z**3 + 10*z**3 - p*z**3 wrt z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1324455 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 575.\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -17 + 0 + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offoofffoooo. Give prob of sequence fo.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9932957 is divided by 9932870?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -235\/4 - -59. Let y = -40 + 37.9. Let l = y - -2. Which is greater: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 100, -24, -232, -524, -900, -1360?\n\"Answer: -42*i**2 + 2*i + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 3*j**2 + 3*j**2. Let i(l) = 3*l**2. What is i(y(c))?\nAnswer: 75*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 9:43 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 + -13 - 3*-3 and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3594.670111 to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -j - 20, 0 = -5*c - 0*j - 3*j. Suppose 0 = -r - 4*m + 70, 178 = c*r + m + 3*m. Is 27 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.06 (b) -337 (c) 1.4 (d) 0.5 (e) 0.3 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 251316*f**2 - 284*f - 16?\nAnswer: 502632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-4 - (7 + -5 + -20))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -433*i**8\/336 + 203*i**5\/30 + i**4\/24 + 1194*i**2. What is the third derivative of g(o) wrt o?\nAnswer: -25980*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -82*x - 4. Let u be l(-1). Suppose u - 230 = -8*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*u**3 - 2 + 6 - 4 - u wrt u?\nAnswer: 174*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/1 - (5 + (-19)\/(-2)*-12). What is the greatest common factor of l and 1184?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -487 - -484. Let j(g) = -3. Let p(l) = -5*l + 120. Determine b*p(a) - 120*j(a).\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from {c: 5, m: 4, f: 2, i: 2}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -3*s - 0*f + 1, 4*s - 2*f = -22 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 - 34. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -672*v + 277*v - 1034*v - 500*v.\nAnswer: -1929*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - 4 + 91*r**2.\nAnswer: 91*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.6 and -13589390488.\nAnswer: -13589390488.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 3*g**2 + 2*g - 2. Let i be r(1). Suppose 2*p = b + 2, -b - i = -0*p - 4*p. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (392\/35)\/8*(582\/(-84) + 7)*-62.\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/435*-18)\/(-2*(-2)\/(-10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*x + 15. Let o(l) = 2*l + 7. What is o(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 5)*(264*k - 398*k + 507*k).\nAnswer: 1492*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22553853\/200 - 112769. Calculate the common denominator of v and 139\/70 - (7 - (-238)\/(-35)).\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0\/m**(-2))\/(m**(1\/2)*m)**(31\/2))\/((m**(2\/3)\/m*m\/(m\/(m\/(m**(-7)\/m))))\/(m**(-2\/13)*(m**(-1\/9)\/m)\/m)) assuming m is positive.\nAnswer: m**(-15061\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-350))\/(136\/(-14))*1*6\/(-2)\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 6. Suppose -39 = -3*t + x*d, 0 = -3*t + 4*d + 24 + 20. Let o = 6 + -2. What is the highest common divisor of t and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2*(0 + -2). Let d(a) = -a**3 + 4*a**2 + 7*a - 13. Let w be d(-7). Find the common denominator of w\/(-10) + g + 18\/15 and 137\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4490 + 4489.6306. Let w = m - -0.2503. Round w to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.6 + -178.\nAnswer: -166.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3)\/(-9*(-24)\/162)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24.2373 * 1.87.\nAnswer: 45.323751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (3564\/42 + -6)*(-945)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 130237*i = -3*w - 130234*i - 9, -36 = 2*w + 24*i for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5\/5 + 42*k**4 + 1341*k**3\/5 + 1134*k**2\/5 = 0. What is k?\nAnswer: -63, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5602*t - 1870*t + 24*t**2 - 1872*t - 1860*t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*b + 70*b - 21 = 131*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 4 + 0 + 2. What is the second derivative of 9*j**2 - 9*j**2 + f*j - 6*j**2 wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -591676 - 1312.427456.\nAnswer: -592988.427456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 55*r**3 - 2*r**2 + 2*r - 1. Let a be w(1). Does 6 divide (a\/4)\/((-21)\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 22. Suppose -a*w - 3*w = -98. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 345 + -562. Let r = -187 - g. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 - -94. Suppose 2*j - 20*j + 324 = q. Calculate the lowest common multiple of j and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 30*i**3 - 1. Let j be b(1). Let g = j - 19. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 20*i**2 - 17*i + 227. Let u(p) = -194*p. Calculate u(h(k)).\nAnswer: -3880*k**2 + 3298*k - 44038","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*-4*(sqrt(11) + sqrt(11) + -2 - sqrt(11)) + sqrt(33)\/(sqrt(300) + (sqrt(300) - sqrt(300)*-1)).\nAnswer: -479*sqrt(11)\/30 + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23921 + -12429. Does 68 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-518)\/(-6))\/(8\/72). Suppose 393*z + p = 400*z. Calculate the highest common factor of z and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 32 - 14 - 2 = -5*r - 1 - 9, r - 9*k = 16 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2. Let o(f) = f + 60. Calculate k(o(t)).\nAnswer: 3*t**2 + 360*t + 10800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1 = -o - 0*o, 5 = 5*o + 2*g. Suppose -2*w + 31 + o = 0. What is the highest common factor of 40 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 1\/2 (b) 1\/6 (c) 3 (d) -7017\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 + 119. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - 270?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000046458954 rounded to seven decimal places?\nAnswer: -0.0000465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -17*a**2 + 6*a. Let b(r) = -7*r. What is p(b(q))?\nAnswer: -833*q**2 - 42*q","meta":{"dup_signals":{},"source":"polynomials__compose_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 remainder when 3539109 is divided by 707757?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -560541.145 rounded to the nearest one thousand?\nAnswer: -561000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -91*h**4 - 6*h + 19. Let p(z) = -23*z**4 + 7*z - 10572 + 10553 + 116*z**4. Let s(y) = -6*p(y) - 7*q(y). What is the first derivative of s(n) wrt n?\nAnswer: 316*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 9:31 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 5*j + 36. Let b be k(0). Suppose 3 = r - 2*r. Let f be r - 0 - -57 - 0. Calculate the greatest common factor of b and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.2 (b) -12 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 281*s**2 - 142*s - 27. Determine z(-140).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2847)\/15 + (-12)\/(-15). Let f = u + 57. Let o = -79 - f. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10855, 10818, 10761, 10690, 10611?\nAnswer: 10530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/582062 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11*w**2 + 2*w + 1. Let y(n) = n**3 - 23*n**2 - 5*n - 2. Calculate 5*o(x) + 2*y(x).\nAnswer: 2*x**3 + 9*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 0, -0.428, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + 3*l - 1. Let o be c(2). Let g(j) = -j - 2 + 2 + 1. Determine g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -72, 1, -2, 25\/29, -5\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bdbc3 (base 14) in base 9?\nAnswer: 1781482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -277097?\nAnswer: 277096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -122381, -244750, -367117, -489482?\n\"Answer: k**2 - 122372*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, t: 2}. What is prob of sequence tqq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3*k + 2 + 4, -5*k - 10 = -d. Suppose -5*l + 2*w = -82, -3*l + d*w + 58 = w. Calculate the greatest common factor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243609169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.179, 0.08, 0.4, 4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/21 and (-110)\/(-468) + 6\/(-27).\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slnffnn. What is prob of sequence lnf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1809 = -p + 2*p, 4*p + 7308 = -2*g. Let q be ((-1041)\/4)\/(3\/(-72)). Let a = p + q. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**4\/6 + h**3\/2 - 5*h**2\/2 - 1626*h. Let f(r) = -3*r**2 + 2*r - 6. Determine 3*f(m) - 4*w(m).\nAnswer: -m**2 - 6*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqq when three letters picked without replacement from quqvpae?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(153) - (sqrt(153) + (sqrt(153) + -2)*-4)))*-4)**2.\nAnswer: -1920*sqrt(17) + 39568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 343*z**3 + 7*z + 3307.\nAnswer: 1029*z**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 - -52. What is the hundreds digit of o*1 + 272 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 2*s + 1. Let v be q(-4). Let f = 13 + v. Let o(w) = w**2 - 8*w + 9. Let n be o(7). Solve 0 = -p - 4*t - 23, -n*p + 2*t - 26 = f*t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11126*k - 9*k**3 + 11126*k.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8492 and 31757?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 13, j: 3, a: 1}. What is prob of sequence jj?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-12) - (2 + 333\/(-54)). Suppose -2*k = 2*o - h, 4*o + k - 18 = 2*k. Solve x = z + o, 2*z = -4*x - 0 + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 4*s - 2. Let f be o(-3). Sort 2, f, -5, 5 in descending order.\nAnswer: 5, 2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28235, 54067, 79901, 105737, 131575, 157415, 183257?\nAnswer: 209101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5510145 + -4?\nAnswer: 5510141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(7\/4) - -6. Let p be 5*6\/10 + 1. Let g be (10\/p + -3)*-4. Solve c*a - 3*a - g = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 13725 - 59561 = 0. Suppose z = 3*t - 17191, 4*t = 6*z - 3*z + p. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 62*w - 1538. Give g(31).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 146784 and 8448?\nAnswer: 1174272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 336 + -332. Suppose l - 3*t - 71 + 25 = 0, -b*l + 139 = 3*t. Calculate the remainder when 117 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34492304.7 to the nearest ten thousand.\nAnswer: 34490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5150668 to the power of 1\/2, to the nearest integer?\nAnswer: 2270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t + 46 = 4*v, 0 = v + 2*t - 16. Solve -4\/3*g**2 + 16\/3*g - 8\/3*g**3 + v = 0 for g.\nAnswer: -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acwcaoacawczlww. What is prob of picking 1 a, 2 w, and 1 l?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -6*v - 1\/6*v**4 + 0*v**6 - 2 + 0*v**5 + 5\/21*v**7 + 1\/2*v**2 + 7\/6*v**3. Find the second derivative of b(m) wrt m.\nAnswer: 200*m**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*m + 31, 4*m = -8*l + 3*l + 30. Suppose 2*z - 5*d = 11, -4*z + 6*z - m = -d. What is the second biggest value in 0.1, -7, z, -1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 309 - 207. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -329337 divided by -2967?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m = 170 - 140 + 412 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2071967 = -5*q, -7*q + 10*q + 2589968 = 5*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-45) + (-263270)\/25. Round q to the nearest one hundred.\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-160*k + 139*k - 1 + 6)*(0 - 1 + 0)*(-2*k - 3*k + k)*(-2*k - k + 2*k) to m*k**2 + d + r*k + i*k**3 and give i.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 + 4*f**3 + f**3 + 9*f**3.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 5*p**2 + p + 15. Let f be t(-8). Let d = f - -180. Let n = -0.2 + 0.1. Which is the closest to -0.5? (a) n (b) -0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 7*z - 3*z + 4, -z = -4*y + 13. Suppose 13 = 5*u + z. Let j(g) = -g - 1 - 4*g + 9*g + g**u. Give j(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8679, 8406, 8137, 7872, 7611, 7354, 7101?\nAnswer: 6852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**3 - 2*f**2 + 8*f - 50. Let q be i(6). Calculate the remainder when 1\/(-4) - q\/8 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/3 + 56*l\/3 + 392\/3.\nAnswer: 2*(l + 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 57.23 and 7.\nAnswer: 64.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkt when three letters picked without replacement from {a: 1, r: 2, t: 1, x: 2, j: 5, k: 5}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1814*a - 34 - 789*a + 665*a + 34 in the form w*a + r and give w.\nAnswer: -1938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -5, -3784\/8761?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 - 2*x**5 - x**2 + (0 + 0 - 2*x**2)*(-185*x**3 + 2229*x - 2229*x) + 3 + x**5 - 3.\nAnswer: 369*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 46162622 to the power of 1\/2, to the nearest integer?\nAnswer: 6794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3. Let f(y) = y**2 + 2. Let j(k) = -3*f(k) - 2*r(k). Let c(w) be the first derivative of -w**3\/3 - 4. Calculate c(j(d)).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/(-4) + -5 - (-225)\/6. Let w(a) = -a**3 + 19 + a + 0*a - n + 18. Let g(k) = 7*k**3 - 4*k + 6. Let d be (-1 + 11\/5)*5. Give d*w(r) + g(r).\nAnswer: r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-4)\/(f**(-3\/5))**32 assuming f is positive.\nAnswer: f**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 6. Let d(h) be the first derivative of h**2\/2 - 11*h + 1116. Suppose -2*q + 6 = -2. What is q*d(w) + 7*x(w)?\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (6 + -3 + 0 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 173 - 195)*(7*v - 4*v**2 - 7*v)*(v**2 + 5*v**2 - 3*v**2).\nAnswer: 3864*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/298746 and -44\/29.\nAnswer: 8663634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-1) + 2 - -5. Suppose -243 = k - x*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-102)\/10 - 65\/(6500\/120)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3015*x + 43064 - 23442 = 146252 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 4*r - 14. Suppose 22*x - r*x = 28. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 5*j + 22. Let k be b(-7). Let y = k - 14. What is the least common multiple of 3\/(0 + (-3)\/(-2)) and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*x + 58 = -x, -62 = -2*f + 5*x. Let m be 14\/f*9\/2. Let i be 2\/4*(1 - 1). Solve -4*p - 17 = -m*w - 9*p, i = 5*w + 2*p - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 661\/4 - 166. Let m(r) = -r**2 + 42*r + 293. Let z be m(-6). Which is the closest to x? (a) -2\/3 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d93 - -249d?\nAnswer: 150a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 62756*d.\nAnswer: 4*d*(d - 15689)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 + 1 - 1 + (2*y + 0 + 0)*(0 + 0 + y))*(-74 + 100 - 73) to q*y + x + i*y**2 and give i.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4697572 millennia in months?\nAnswer: 5637.0864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**0)**(12\/13)\/((x\/((x*x*x**3*x)\/x))\/x**(-7)) assuming x is positive.\nAnswer: x**(-27\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - -21 - -18 - -16 - 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89\/4 + 22. Suppose 2*w = 2*r + 4, -2*w = r + r - 8. Is r equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0*z)**20\/(z**(8\/3)\/(z*z\/(z\/(z**(-2\/15)\/z*z)))) assuming z is positive.\nAnswer: z**(91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 239*x**2 - 3*x - 21. Let c(j) = -239*j**2 + 4*j + 27. Give -3*c(v) - 4*l(v).\nAnswer: -239*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**3 - 46782*o**2 + 182893140*o - 4001038536 = 0 for o.\nAnswer: 22, 7786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1384902?\nAnswer: 2, 3, 47, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 142162?\nAnswer: -142161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 7 = -1. Let m be q\/(-9) + 2\/6. Determine v, given that -6*v**2 + m + 8*v**3 + 4*v + 1 - 8*v**2 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1530 is divided by 63.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.76 + 6.76. Suppose -5*y + 9 = 2*p - 5, 2 = 2*y + 2*p. Let c be 2\/(-3) + y\/2. Put 5, c, t in descending order.\nAnswer: 5, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 3*r + 5*r)*(0 - 6 - 3 + (-4 + 1 - 2)*(71 - 168 - 119)).\nAnswer: -2142*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*(-9)\/(-60).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7224675965.\nAnswer: 5, 13, 59, 1883879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 18*q - q**2 + 7 - 52*q + 17*q + 17*q. Suppose h - 3 = 21. Let z(p) = 15 + 8 - h. Determine m(v) + 6*z(v).\nAnswer: -v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-11 - -31) + -3 + (10 - 14) + 18.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = 417 - 505 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 199249 * 0.2236.\nAnswer: 44552.0764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1\/32, 0, 1, 42.\nAnswer: -1\/32, 0, 2\/7, 1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {t: 2, x: 2, h: 3, l: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*t + 69 = 0. Suppose -4*i = -o + 56, 3*i - 2*o + 57 = -5*o. Calculate the remainder when t is divided by 128\/20 + 6\/i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -29. Suppose s = -v + 5*d + 205, 169 = v - d + 5*d. Let o = -131 + v. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 236366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47840 - -6529?\nAnswer: -41311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 559558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 8. Let w be ((-2)\/n)\/(((-6)\/8)\/3). Suppose 16*k - 18*k = -w. What is the least common multiple of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 137264853 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25\/23, -0.1, -3, -84, 2?\nAnswer: -25\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -14*d + 9. Let z(b) = 5*b - 3. Let f(j) = -4*h(j) - 11*z(j). Calculate f(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**4\/5 - 68*b**2\/5 - 144*b\/5 - 16 = 0. What is b?\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 9:38 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 49, -331, -947, -1799, -2887, -4211?\n\"Answer: -118*g**2 - 26*g + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2778978861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -88 - 8. Suppose -p = -3*k - k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 882300\/940950 - ((-16)\/(-18) + 0).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14971400 to the nearest one hundred thousand.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 3. Let h be z(-6). Suppose -40 - 8 = -h*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 7*i**2 - 7*i + 7. Let t(r) = -r + 11. Suppose 5*c = 2*l - 5, -3*c + 22 + 6 = 5*l. Let p be t(l). Determine w(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u + 27*u = 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**5 - 24*o**4 + 52*o**3 - 48*o**2 + 16*o = 0. Calculate o.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - -3 - (0 + 1). Suppose 9 = 2*j + a, 4*a + a = 4*j - 11. Suppose -15 = t*w, 4*u - j*w = w + 77. What is the lowest common multiple of 11 and u?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/3198 and -71\/39?\nAnswer: 3198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2561, -2566, -2571, -2576, -2581?\nAnswer: -2586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltt when three letters picked without replacement from tltltllllll.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l - 4. Let j(k) = 2*k - 3. Let b(a) = 2*a + 1. Let c(z) = -4*b(z) + j(z). What is 3*c(y) - 5*t(y)?\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2*l - 21 + 35 = 0, -5*i - 8*l - 9 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 10*n**2 + 746*n - 768. Calculate a(-76).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 22. Let j = a - -8.08. Let q = -0.08000024 + j. What is q rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.242 - 37772122018\nAnswer: -37772122017.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1582409 is divided by 400?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + h)*(-h**4 + 5*h**4 + 0*h**4).\nAnswer: -4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58563 is divided by 14605.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m - 3. Let k be r(-1). What is the units digit of 2\/(k\/(28 + -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5178*i + 42421. Calculate t(-9).\nAnswer: -4181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 28*f**2 + 26*f - 25. Let z be g(-27). Solve -10 = -z*l - 0*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + (-5 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142.66 - 144. Let q = 1.34000071 + d. What is q rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - u - 7 = 0, 2*t - 11 = -0*u + u. Suppose -42*b + 23*b + 20*b - 1 = 0. What is the smallest common multiple of t and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -766932790 divided by -2818.\nAnswer: 272155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-5\/6)\/s*s)*s**(21\/4))**(3\/37) assuming s is positive.\nAnswer: s**(85\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 15, 6, -1 in increasing order.\nAnswer: -5, -4, -1, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = q - 10, 542200*t = q + 542201*t - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddxxxx. What is prob of picking 2 d and 2 x?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*((-32)\/21 + (-34)\/238). Suppose 3*s + 4*i + 31 = -0*s, -2*i + 2 = -2*s. Let b = s + h. What is the nearest to 1 in -1\/3, -1\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*(-2798)\/(-69950)\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 + -4112422?\nAnswer: -4112400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 3*s + 16, 2*s - 2*o + 0 = -8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/6341735 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 22829*r**2 + 3*r + 1. Let y be x(-1). Is y\/91 + (-4)\/(-26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 1 - 40\/(-12). What is the closest to 1 in -0.2, -1\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j - 70 = 0. Let b be (-11 + 49)\/((-2)\/(-1)). What is the remainder when j is divided by 1\/(-1 - -2)*b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -750351100 to the nearest one hundred thousand.\nAnswer: -750400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 5.5, 4, 1\/3, -2\/681, 1?\nAnswer: -2\/681","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - -199. Suppose d = 4*l - 0*l. Suppose 0 = 2*v - 16. What is the greatest common divisor of v and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5723 at most as big as 25368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -350*n - 19845 + 181*n - 403*n - 58*n - 5*n**2.\nAnswer: -5*(n + 63)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*s + 26 = 5*l, -l + s = -6. Suppose -a - 2*t + t + 2 = 0, 4 = l*a - 5*t. Which is greater: 2\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 + 166. Let k = -293 + h. Solve 32 = 3*y + 5*z, 0 = 6*y - 4*y + k*z - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9140533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -38. Let z(w) = -4*w**3 + 3*w**2 + 1. Let d(i) = -7*i**3 + 5*i**2 - i + 1. Determine y*z(a) - 3*d(a).\nAnswer: a**3 + 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.7 + 2.699898. What is k rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 32182 = -11450. Suppose 2*h = 2*m + n, -20*h = -16*h - 5*m - 14539. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 468891.6 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-102)\/10)\/(-3) + 501\/(-167). What is the nearest to -1\/3 in d, -12\/5, -38?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 8*y + 17. Let c be (-20 + 1260\/54)*(-3)\/2. What is z(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*3\/(-6) - -1. Let m be u - -3 - (18 - 14). Is -4\/55 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 579085 (b) 1.3 (c) 2\/17 (d) 4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 - 1.97. Let m = v + -1. What is the nearest to -0.3 in 5, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 0 + sqrt(108) + -4)**2 + 5.\nAnswer: -96*sqrt(3) + 453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71114.6 + -63215. What is m rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.2. Let c = -53.8 + 54.111. Let h = c - 0.111. What is the nearest to t in h, -2, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4783 (base 16) to base 5\nAnswer: -1041212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8500272 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 5*i + 15 = 0, 16 = 5*w + 2*i + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8978 by 4489.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by (-28)\/24 + 1 - (-885)\/18.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2. Let d(i) = -3*i**2 - i**2 - 3*i**2 - 6 - i**2. Let g(m) = 7*m**2 + 5. Let y(c) = -5*d(c) - 6*g(c). What is y(o(r))?\nAnswer: -50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -220599*b + 220613. Determine z(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -d - 833121. Let l = 23254 + d. Let g = l - -279039. What is g rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 59. Let c(d) = -11*d + 58. Let f be c(5). Suppose -5*m - 2*b - 44 = -f*m, -b + 108 = -4*m. Let u be g(m). Sort 3, u, 5 in descending order.\nAnswer: 5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/20 - (-1 + (-25)\/(-10)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 56\/420*(-2)\/82*-10. Do 1 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2208522 is divided by 113?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/32)\/(20\/(-72)*51\/(-170))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(448) + 5 + sqrt(448))**2.\nAnswer: -128*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3.6 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, x: 2, b: 7, l: 2}. Give prob of sequence xttt.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Suppose q + r - 199 = m, -q + 820 = 3*q - 4*r. What is the common denominator of 39\/22 and q\/(-8)*3\/6?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) + sqrt(99) + sqrt(99)*1)*-5 - ((sqrt(99)*1 + sqrt(99) - sqrt(99)) + sqrt(99))*3)\/(sqrt(27)\/(sqrt(21)\/(sqrt(7)*-2)))*4)**2.\nAnswer: 19404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1539600 to the nearest 10000.\nAnswer: -1540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 13403?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5 + y**3 - 9 + 10 + 3*y + 5*y**2. Let g be (-1 + 2 - 0)*-4. Let z be p(g). Is 1\/7 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(4)\/sqrt(2)) + sqrt(2448) + -1 + -1 + (0 + sqrt(153) - sqrt(153)).\nAnswer: -2 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 424, 1150, 3118, 6946, 13252, 22654?\n\"Answer: 103*b**3 + 3*b**2 - 4*b + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-60)\/(-84)*-34*(-24)\/28560\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1430181410 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 38. Let n be (24\/21)\/(2\/u). Suppose n*g + 0*g = 7604. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(133)\/sqrt(63) - sqrt(152)\/sqrt(200)).\nAnswer: 4*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 283.916 != -0.0481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-14 + 41\/2). What is the second smallest value in 1\/4, 62, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-84) + (-1001)\/78.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 1 (c) -3\/5 (d) -391170\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4006 and -1084?\nAnswer: 5090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-14))\/((m\/(m*m**(2\/25)*m*m*m))\/m))\/(m\/(m**2\/m))**(1\/2) assuming m is positive.\nAnswer: m**(-223\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -0.6. Let t = 2 - -1. Let z = -30 - -31. What is the closest to 1 in z, b, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10687, 2, -1, 13, 5 in descending order.\nAnswer: 13, 5, 2, -1, -10687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 52*p**2 - 49*p + 795. Calculate the remainder when k(-53) is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**3 + 216*r**2 + 2*r - 90. Give a(-54).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196 by 622.\nAnswer: 98\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 5 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292513 divided by 1?\nAnswer: 1292513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -1323*t**5\/20 + 11*t**4\/3 + t**3\/3 - 27*t**2\/2 - t + 4300. Find the third derivative of r(l) wrt l.\nAnswer: -7938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 7*g - q + 5, 4*q + 20 = 0. Let o = -2 - g. Let w = -1 - -1.1. What is the nearest to o in -0.2, 1\/11, w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 16, 23*m = 25*m - 4*k - 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4398339455 to five decimal places.\nAnswer: 0.43983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -428*u**2 - 230?\nAnswer: -856*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -201 + 87. What is the units digit of 4\/(-6) - 1672\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**5\/120 + c**3\/2 + 3*c**2. Let h(r) be the first derivative of x(r). Let u(v) = -2*v**2. Give u(h(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -0.2 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*l + 30*l - 198. What is the third biggest value in l, -2\/17, -1\/10?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 8:50 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11633341 (base 7) to base 14\nAnswer: -1d4b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9698 + 455802\/47. Let r = 2 - 3. Is b != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3770 (b) 0.1 (c) -100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*i - 327*i**6 + i**2 - 279*i**6 + 231*i + 90*i - 2 + 86*i**6 - 4*i**5 wrt i?\nAnswer: -62400*i**3 - 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (954\/(-1060)*50\/6)\/70\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z + 7*z. Put 5, -7, z in decreasing order.\nAnswer: 5, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 147761*s\/2 + 18470.\nAnswer: (s + 36940)*(4*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11*q - 7. Give j(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 771975 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -29.27 (b) -5 (c) -1129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 5\/79, 166 in increasing order.\nAnswer: 5\/79, 91, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 z when three letters picked without replacement from {f: 4, z: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b287 (base 12) in base 15?\nAnswer: 26704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*b - 1904 - 646. Suppose -4*x - 2*y - b = -202, 2*y = 2*x - 4. Let u(w) = -w**2 + 7*w + 2. Give u(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) + (-354)\/(-10). Let t = -25 + c. Let m(q) = 6*q**2 - 10*q. Let f(y) = y + 2*y - 6*y - 2*y**2 + 4*y**2. Calculate t*f(a) - 3*m(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -11*n. Let g(q) = 5*q**2 + 6*q - 4. Calculate z(g(s)).\nAnswer: -55*s**2 - 66*s + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14097 + 2?\nAnswer: -14095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137755.\nAnswer: 5, 27551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 6. Let j(n) = -n + 3. Let x(t) = 7*j(t) - 3*m(t). Let w be x(3). Suppose 3*z - 27 - 21 = w. Calculate the remainder when 46 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**15\/(o*o**(-20\/3)*o))**(2\/81) assuming o is positive.\nAnswer: o**(118\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 557066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 11:37 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -2d?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/60 and 97\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 7:59 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**5\/120 - i**4\/24 - i**3\/12 + i**2 + 2*i. Let l(q) be the first derivative of n(q). Suppose l(w) = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2\/12 + 289*g\/4 - 5971\/6 = 0.\nAnswer: 14, 853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1573103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 + 1230?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/28)\/((-85)\/(-119)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9121.041um?\nAnswer: 0.9121041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 544, 1075, 1606, 2137, 2668, 3199?\n\"Answer: 531*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 644\/(-224) - (7\/8)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 825345 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: What is the tens digit of 474*(-3)\/(-36)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 19. Suppose 5*d = i + 7. Suppose -6 = -d*r + 2. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218506 to the power of 1\/2, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494784.\nAnswer: 2, 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - 437 + 1112 - 301 + 4*w**2.\nAnswer: -w**3 + 4*w**2 + 374","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**6\/120 + z**4\/8 - z**3\/6 + z**2. Let k be (-14)\/4*2 + (-12)\/(-3). What is the tens digit of d(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*g - 2 - 8*g + 7*g as s*g + u and give s.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -2*s**7\/21 - 7*s**6\/15 - s**5\/5 + 11*s**4\/6 + 4*s**3\/3 - 4*s**2 + 66*s. Determine t so that r(t) = 0.\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5100\/(-13770))\/((-12)\/(-1296))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 857, 2881, 6073, 10439, 15985, 22717, 30641?\n\"Answer: f**3 + 578*f**2 + 283*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/8)\/((-63)\/42)*2. Which is the nearest to f? (a) -5 (b) -2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 101911800 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqqiqiqienv. Give prob of picking 1 v, 1 i, and 1 n.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 10. Suppose 5*o - y - 20 = z, 4*o - 30 = z. Let p(j) = j**3 - 8*j**2 + 7*j - 4. Let f be p(o). Sort 2, 6, f in ascending order.\nAnswer: f, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-17 - 1) + 23 + -20 + -5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, g: 4}. Give prob of sequence vv.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -373926*g**3 + 373921*g**3 + 320 + 3*g**2 + 7*g**2 + 200*g.\nAnswer: -5*(g - 8)*(g + 2)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -19*i**7\/210 - 2*i**5\/3 + 29*i**2. What is the third derivative of z(p) wrt p?\nAnswer: -456*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -5)*(-25)\/20*6. Let t(r) = -2*r**3 - 30*r**2 - 2*r - 29. Let m be t(d). Solve 2*q + 3*j - 7 + m = 0, 4*j - 3 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1879.9008 and 60500.\nAnswer: 62379.9008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3527365 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55259600 and 715?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -22*z**3 - 3*z**2 - 3*z. Let s(k) = -22*k**3 - 4*k**2 - 4*k. Suppose 0 = 8*g + 111 - 87. Give g*s(p) + 4*b(p).\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(23*m + 3343 + 2*m - 28*m + 5*m).\nAnswer: -2*m - 3343","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 111462 - 111462.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59979173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007538006 rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20230603*v - 9245740?\nAnswer: -20230603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, u: 5, c: 3}. What is prob of sequence caau?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 323 + -313. Suppose -x - 13 = -11. Put a, x, -4 in descending order.\nAnswer: a, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 14 = 57*o - 54*o, o = -4*m + 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -15*i**2 - 96*i - 132. Determine z(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 287.\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqktzcctztkqtsk. What is prob of sequence zzt?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 181764.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 + 51*j\/5 + 52\/5.\nAnswer: -(j - 52)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306231?\nAnswer: 3, 102077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 10 = -2*v, 0 = -2*m - v - 3*v + 30. Suppose -6*y + m*y + 4 = 0, 376 = 4*i - 2*y. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 + 2*r**4 - r**4 + (-3 - r**2 + 3)*(r**2 + 0*r**2 - 3*r**2) + (-14 + 14 - 61*r)*(3*r**3 - 3*r**3 - 2*r**3) - 14*r + 7*r**4 + 14*r.\nAnswer: 133*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 687*j**3*w**2 - 3*j**3*w - 5*j**2*w**5 - 633*j**2 - 4*j*w wrt w?\nAnswer: 1374*j**3 - 100*j**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73 - 2*d**3 - d - 2*d**4 + 161 - 93 to the form k*d**3 + w*d**4 + i*d**2 + g*d + u and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65.9718 + -66. Let f = -33304 + 33303.972069. Let h = l - f. Round h to 5 dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 5:58 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/5)\/t**(-3\/7))**(1\/10))**(-2\/47) assuming t is positive.\nAnswer: t**(6\/8225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26915 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6776 + 3622. Let h = -103867\/10 + y. Find the common denominator of h and -21\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1412 divided by -154.\nAnswer: 706\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350922 is divided by 38988?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -9. Suppose 0 = o*a - 2, -3*j + 34 = a. Suppose -3 = -5*y + 57. Which is smaller: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2732)\/(-91) + 19478\/(-886249).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(98)*3 - (1 + sqrt(98) + 5 + sqrt(98))) + -2 + -5 + sqrt(98)*2 + -5 + sqrt(98))**2.\nAnswer: -896*sqrt(2) + 1824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.248 + 0.052. Let f = 0.299 - u. Round f to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l = -5*w - 142, -w - 40 = 5*l. What is the tens digit of 3\/(-2 + w\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67338.0431 to the nearest ten.\nAnswer: 67340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0844175ml to litres.\nAnswer: 0.0000844175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 689 * 8.94\nAnswer: 6159.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11378300, 11378307, 11378314, 11378321, 11378328?\nAnswer: 11378335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 216\/7*g + 2\/7*g**3 - 432\/7 - 36\/7*g**2 = 0. What is g?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -7. Suppose 4*i + h = 2*x, -11 = i + x - 4*x. Let u be ((-18)\/15 + i)\/1. What is the biggest value in -1\/10, u, -0.3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 14 = -2*c, c = 2644*x - 2649*x + 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21 or 0.069?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y + 2. Let u(r) = r**3 + 7*r**2 + 6*r - 1. Let p be u(-6). Let q = -5 - p. What are the prime factors of t(q)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3795218 divided by 1\nAnswer: -3795218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184048 is divided by 1235?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j. Let x(c) = -13*c + 2 + 5*c + 7 - 10. Suppose 11*q = -0*q + 154. What is q*r(u) - 2*x(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 32 = 2*k - 8, 2749*z - 5487*z - 4*k = -2749*z - k - 49 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 61802050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**3 - g. Let r(b) = -17*b**2 + 3. Let i = -757 - -750. Let s(f) = -41*f**2 + 7. Let p(u) = i*r(u) + 3*s(u). Give d(p(t)).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -635 divided by -127\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 - 14*p**2 - 5*p + 3. Let k(u) = u**3 + 15*u**2 + 4*u - 4. Determine -4*j(z) - 5*k(z).\nAnswer: 3*z**3 - 19*z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3448610957?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2004*v = -3050 - 2962. Factor -3\/2*q**4 + 0 + 0*q**2 - 1\/2*q**5 - q**v + 0*q.\nAnswer: -q**3*(q + 1)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.2 (b) -5 (c) -0.1 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/14 + (-6538)\/(-49) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10787 + 10781. Let s = 0.112 - 7.212. Let k = s - -7. What is the closest to k in 2\/5, l, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21887 = 54*v + 22967 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -16. Let o(v) = 6*v**2 - 46*v - 64. Determine -o(c) + 4*q(c).\nAnswer: -6*c**2 + 46*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31203213 + -220120?\nAnswer: -32023333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k**(1\/2)*k)\/k))**(3\/22)*k**(6\/7)*k**(-8))**(-18) assuming k is positive.\nAnswer: k**(19611\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/(-18)*2\/24. Let x = -14.932 - 0.068. Let g = x + 12. What is the nearest to -2\/7 in g, 7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11667, 23210, 34723, 46206, 57659, 69082?\nAnswer: 80475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 6*t**2 + 3*t + 7. Let o be l(5). Let m = 49.7 - 50. What is the nearest to 0.2 in 5, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/2934 + -107099\/23472. Find the common denominator of r and -59\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eipsppoppiipsiip. Give prob of sequence ppes.\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -5\/2 (b) 0.01 (c) -361 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 8*z = 31, 0 = -4*z - 214 - 204 + 426 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 + -23. Suppose 6 = -f + t. Does 24 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 345*u**4 - 29*u**3 + 94869*u**2 wrt u.\nAnswer: 8280*u - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20017242 is divided by 3336205.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 4, -4, -471 in descending order.\nAnswer: 4, 1\/2, -4, -471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.06 - -3. Let x = 4.06 + t. What is the smallest value in 3, x, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.09687 seconds in microseconds?\nAnswer: 37096870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 680685 divided by 5.\nAnswer: 136137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:22 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*y = 2. Suppose 3*l - y*h = 2, 0*l - h + 10 = 4*l. Is (9 - (-1 - -2))\/l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 9*l**2 - l + 8. Let s be 3\/4 + 165\/20. Let h be t(s). Let c = 0.2 - 0. What is the biggest value in c, 2\/17, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.77, 19.2, 2?\nAnswer: 19.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 330 - 314. Let w be (1 + 5\/(-6))\/(h\/96). Let p(c) = c + 6. Let q be p(-4). Calculate the highest common factor of q and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 607 - 53667 = 28*w. Are -1895 and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 214\/6 + (-6)\/9. Suppose 2*m = -3*m - l. Let a(w) = -6*w + 4*w + 2*w**3 + w**3 + 4. Let y(t) = 10*t**3 + t**2 - 7*t + 13. Calculate m*a(b) + 2*y(b).\nAnswer: -b**3 + 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.1, 451, -3 in ascending order.\nAnswer: -3, 0.1, 5, 451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11198 is divided by 3732.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*x**2\/5 + 504*x\/5 - 44\/5.\nAnswer: (x + 22)*(23*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/(-33)*62733\/1901.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11)*f*f)\/((f\/(f\/f**12))\/f) assuming f is positive.\nAnswer: f**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-14)*((-3)\/351)\/((-20)\/30)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3833, 1 in descending order.\nAnswer: 3833, 11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 177*w**2 + 7547*w - 7725.\nAnswer: (w - 1)*(w + 75)*(w + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552*f + 539*f = 26 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n\/n**(-4)*n)\/n*n)\/(n\/((n*n**(-1))\/n*n))*(n*n*n\/n**(-1)*n*n*n*n*n*n)**(-1\/2))**(-5\/9) assuming n is positive.\nAnswer: n**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4\/7, -614.2, 0.3, -3 in increasing order.\nAnswer: -614.2, -3, -1, -4\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12782198 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 6:31 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - (-3 - -8))\/1. What is the third smallest value in w, -1\/5, -2\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + v + 34327, 2*v = -5*x + 4*v + 34329. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -1302?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39740 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 54*i - 69*i + 14*i - 51 = 0, 24*r - 3*i = -2*i + 135 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2720*q + 165*q + 2484*q + 1044*q to the form m*q + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -188, -760, -1714, -3050, -4768, -6868?\n\"Answer: -191*m**2 + m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-4) - (-2 + 10). Let a(m) = m**3 + 5*m**2 - 2*m - 12. Let t be a(r). Calculate the remainder when (t - (-48)\/9)*12 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 98\/12 - (-1)\/(-6). Suppose -g*n + 75 = -3*n. Calculate the remainder when n is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.552 and -0.058.\nAnswer: -0.032016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 51 = 5*c. Suppose -3*o + c = 5*r, 5*o - 5*r - 6 = -1. Suppose b - 2*w - o = -w, 5*b - w - 19 = 0. Solve -b = l + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((-1)\/(4 + -3)). Suppose 0*q - f*q = -144. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 597.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, i: 2, s: 1, h: 1, m: 4, q: 2}. What is prob of sequence msq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -16. Let c be 5\/15 + (-106)\/2. Let p = c + 52. Do p and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(12) - (sqrt(192) - sqrt(12)))\/sqrt(6).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**3 - 4*z**2 - 2*z - 5. What is the tens digit of h(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4050\/405 - ((-50)\/8)\/((0 - -7)\/28)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 70\/18 - 16\/4. Let b be -1 + (5 + -3)\/2. Sort b, 5, p in ascending order.\nAnswer: p, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -11*o - 1. Let t be x(-1). Let i = -8 + t. Suppose -q = 3*m + i + 1, 3*q - 4*m - 43 = 0. What is the common denominator of -70\/9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 4 = 3*p, 0 = -3*t + 5*p + 13184. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**3\/3 - 7*p**2\/2 - 8*p - 6. Let g be y(-5). Solve g*h = h - 1, -5*n - h - 21 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 452566576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + x - 124 = 0, -2*b + 41 = -5*x - 21. Let s = b - 46. Let r = s + 28. Calculate the remainder when 37 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((53 - -7) + -6)*1. Suppose -56*h + d = -394. Solve -b - h = -3*l - 4, -3 = 2*b - l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-5))\/((-3)\/(-15)))\/((-124)\/248).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 2*y + y - 203*f + 207*f, -y + 2*f = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(68) + sqrt(68)))\/(sqrt(144)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -11. Let v = n + 10. Let y(c) = -1 - 3 + v + 2 - c. Determine y(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 3*b = n - 3, 4*b - 4*n - 12 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2798, 3727, 5294, 7517, 10414, 14003, 18302, 23329?\nAnswer: 29102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/6136 and -47\/38350.\nAnswer: 153400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 0, 1641?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1400929 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = -4. Which is the closest to 2\/5? (a) -0.35 (b) v (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 - -112. Suppose -36 = x*g - 18. Let p be (-1)\/(-5) - (132\/20 + g). Which is the third biggest value? (a) -4 (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-5)*110\/66*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6036*w = -5918*w + 2500 + 1276 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*m + 14*m = -155. Let c be (-2)\/m*135\/(-324). Sort c, 9, -2\/23 in decreasing order.\nAnswer: 9, c, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 121\/(-2))*327\/(204048\/416)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 978847106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1\/9, -12, 1\/184?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1586 divide 169679303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*n - 14704 = -8377*n + 40915 + 30241 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61185 * -12285.\nAnswer: -751657725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 14*r**2 - 56*r - 22. Let o(w) = 3*w**2 - 11*w - 4. Let k = 134 + -128. Let p(u) = k*q(u) - 33*o(u). What is the second derivative of p(i) wrt i?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, e: 7}. Give prob of sequence je.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 - 27*n**2 + 21*n - 158. Calculate the remainder when j(-17) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -106, -65, 8, 113, 250?\n\"Answer: 16*g**2 - 7*g - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -449, -646, -585, -260, 335, 1206?\n\"Answer: s**3 + 123*s**2 - 573*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*r - 31*r + 2*r + 1335 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 14*d**2 - 8*d - 14. Let i be s(14). Let y = -88 - i. What is the highest common divisor of y and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 34. Let t be 2*(r\/6 - 0). Let n = -7 - t. Sort 2, n, -4.\nAnswer: -4, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-7) - -3)\/((-1)\/105*-15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00180665109 rounded to 6 decimal places?\nAnswer: -0.001807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5*t - 43, 10 = -2*i + 4*t + 82. Suppose 0 = -3*y + 6. Suppose 0 = 3*o + 3*q - 66, 0*o - y*o + 4*q = -i. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -344 + -501?\nAnswer: -1245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(121)*1 - sqrt(121))\/sqrt(11)*-6)**2 + 4 + 5.\nAnswer: 9909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Which is the biggest value? (a) 1\/6 (b) -16\/5 (c) 0.4 (d) -262 (e) 7\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*o**3 + 17238*o**2 - 17237*o**2 + 107*o**3 + 256*o**3.\nAnswer: 282*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + i - 4633 = -4634, 4*i = -11*b - 19 + 1 - 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -532\/167 or -4?\nAnswer: -532\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 291818*f. Let w(r) = 4*r**2. Calculate k(w(q)).\nAnswer: 1167272*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5162931 (base 11) in base 3?\nAnswer: -122010212020110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (45\/12)\/((-33)\/44)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4070802.\nAnswer: 2, 3, 653, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 - 7*r**2 - 7*r - 23. Let b be z(-3). Let w(v) = v**2 + 13*v - 16. Give w(b).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 389592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6462 - 124128625753\nAnswer: -124128619291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -8. Let o = 49 - 50. What is the closest to r in o, -4\/3, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*j + z + 75, -3*z = -3*j + 57. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -6 + (-7 - (-25 - (-2 + 0)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u - 235. What is b(-47)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 5*w - 2 = 0, 0*q + 3*q = 4*w + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -15*z. Let h(f) = 20946*f**2 - 4*f. Give r(h(j)).\nAnswer: -314190*j**2 + 60*j","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 3203\/20 - 160. Let y(d) be the first derivative of 15\/16*d**4 - 4 + 3\/2*d**3 - 3\/2*d**2 - 6*d + r*d**5. Factor y(k).\nAnswer: 3*(k - 1)*(k + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**4 + 3*r**3 - r**3 + 2*r**2 - r - 6*r**3 in the form p*r**2 + y*r**4 + i*r**3 + o + z*r and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19091760.\nAnswer: 2, 3, 5, 79549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.026 and -55.688?\nAnswer: -1.447888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-two fifths of a gram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and -1764055.\nAnswer: 194046.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {l: 2, t: 6, r: 2, a: 3}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a century in months?\nAnswer: 7650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 4 = 9*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23452 divided by 26.\nAnswer: -902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9092861053?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81818 and 28160?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-61 - -16) - (-7 + (-4 - (2 - 19))).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19204 - -45853. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 13*o**2 + 351*o + 923. Give h(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4118077 + 7838377. What is s rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 4*g**2 - 5*g + 3. Let a be d(5). Suppose -14 - 4 = -a*x. Let b = x + 26. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10223037529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + 891*p + 2. Let w(c) = 12*c + 16*c + 25*c + 15*c - 67*c. Determine w(q(k)).\nAnswer: 2*k**2 + 891*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/((-2)\/(-2)). Suppose 0 = -3*n + 3, 2*y - 13*n + 25 = -8*n. Which is smaller: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 1813?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-30)*5*0. Suppose s = 4*t + 17*t - 5397. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*h + 65975 - 1781. Suppose -6*d + h = -1329. Is d a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -20*o + 29. Let k be 16 + -5 + (-3)\/1*1. Let j be n(k). Let g = -115 - j. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462712 less than 0.1?\nAnswer: -1462711.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(108)*6 + -5 - sqrt(108) - (1*(sqrt(108) + -3))**2).\nAnswer: -122 + 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + 2*-1*sqrt(108) + sqrt(108) + 5)**2.\nAnswer: -60*sqrt(3) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(190)*2*6 - (-5*(-1*sqrt(190) - sqrt(190)) - sqrt(190)))\/(5*(sqrt(1440)*-2 - sqrt(1440))).\nAnswer: -5 - sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.9 - 0.1. Let z = 62035\/7 - 8861. Which is the nearest to 1? (a) z (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30381156 to the nearest integer?\nAnswer: 5512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27947 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/(8\/1)*(-2)\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3688*n + 3656*n = -64. Factor 0*v**3 - 1\/7*v**4 + 3\/7 + 8\/7*v + 6\/7*v**n.\nAnswer: -(v - 3)*(v + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 13*l**4\/4 + 11*l**3\/3 + 1689*l**2 - 9043. What is the second derivative of z(v) wrt v?\nAnswer: 78*v + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5043*o + 4896. Determine z(-1).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*i - 45. Let q be (46\/(-138))\/((-3)\/648). What is the greatest common divisor of q and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/13))**(-19)\/(r**(9\/2))**(5\/8) assuming r is positive.\nAnswer: r**(-1193\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*(sqrt(343) + sqrt(343) + -1 + sqrt(343) + 5)*5 + -5)**2.\nAnswer: 617400*sqrt(7) + 11173225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 129*g**2 - 504*g - 150. Is u(133) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -13*p + 108. Let c be (35\/15 - 5)*9. What are the prime factors of h(c)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1080803641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**5 + 52*t**4 + 388*t**3 - 484*t**2 - 384*t + 432 = 0.\nAnswer: -6, -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - -20?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 4 + -5 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 125800 and 2250.\nAnswer: 5661000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 13*g**2 + 0 + 7 + 14 - g**3 - 11. What is j(13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 - 90. What is a in -6*a**3 - 24 - 13*a**2 - 10*a**o + 0*a**3 - 9*a**2 - 52*a + 2*a**3 = 0?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 5. Let r be p(3). Let n(t) = t**3 - 4*t**2 + 4*t - 2. Let i be n(3). Calculate the highest common factor of r and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 22. Let u = -10 - l. Which is smaller: 2\/7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3210, -3236, -3274, -3318, -3362, -3400, -3426?\n\"Answer: r**3 - 12*r**2 + 3*r - 3202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 5\/4, -3\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**3 + 10*i**2 - 26*i + 10. Determine p(5).\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 1 = -26. Determine n so that 0*n + 1\/3*n**2 + 1\/3*n**a + 0 + n**3 + n**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -1\/4 (c) 0.4 (d) 16.91 (e) -5\/273\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-68)\/(-20) - (-6)\/(-15). Let h(g) = -2*g - 2 + g + 2*g - g**2 + 3*g**2. Let t be h(2). Solve -i - n*i = -t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10)\/((-315)\/1350)*(-9)\/(27\/(-231))?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1626803, -1626800, -1626797, -1626794, -1626791, -1626788?\n\"Answer: 3*a - 1626806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 423517*p + 7200078.\nAnswer: -(p - 17)*(p + 423534)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3552\/65 or 54?\nAnswer: 3552\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/71 (b) -5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 395775 and 296775?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156 + -111. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.051\nAnswer: -0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 1504*y - 66518. Let m be p(-43). Suppose 81920\/11*d**2 + 2097152\/11 + 5120\/11*d**m + 655360\/11*d + 160\/11*d**4 + 2\/11*d**5 = 0. Calculate d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**9\/x)**(1\/4)\/(((x\/x**(4\/3)*x)\/x)\/(x*x**25)) assuming x is positive.\nAnswer: x**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515944808 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (319*s**2 + 139367 - 139367)*(-5 - 1 + 0) as t*s + g*s**2 + d and give g.\nAnswer: -1914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2114 by 4.\nAnswer: -1057\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 21*s - 225. Give h(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -38108, -158843, -360070, -641789, -1004000, -1446703?\n\"Answer: -40246*v**2 + 3*v + 2135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) -2\/55 (b) -0.5 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.2 rounded to zero decimal places?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-14))\/((-1480)\/(-518))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 262*n + 41 - 827. Let m = 6 - 1. Let u(o) = -o**2 + 9*o - 10. Let r be u(7). Sort m, n, r in increasing order.\nAnswer: n, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.607 - -0.107. What is the closest to x in -0.3, 2, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*l + 15 = 0, 24 = 4*d - 0*l - 4*l. Let i(r) = -d - 1 - 3 - r. Let b be i(0). Sort 3, b, -1.\nAnswer: b, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1020*k**3*w**2 + 5*k**2*w**2 - 20*k*w**2 + 7*w**2 wrt k?\nAnswer: -6120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2419 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: Four letters picked without replacement from xxxqmmxxxcxqx. What is prob of sequence mxmc?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -25094000 to the nearest one hundred thousand.\nAnswer: -25100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -66\/7 (b) 12 (c) 3\/7 (d) 2\/5 (e) -1.2 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**7\/450 + 4*j**6\/225 - 2*j**5\/75 + 13*j**4\/24 - 24*j**2. Let u(x) be the second derivative of o(x). What is r in u(r) = 0?\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w - 6. Let m be (w\/(-4))\/((-3)\/12). Suppose 7*o - 2*o = 25. Which is the third smallest value? (a) -3\/4 (b) o (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1298827014 divided by -3?\nAnswer: 432942338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6686 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - m + 24. Let f be d(0). Suppose 15 = r + 2*b, 3*b - b + f = 2*r. Suppose -8 = -3*n + r. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccvvv. Give prob of sequence vvv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 13*w**3 + 2*w**2 + 5*w - 8. Let u(r) = 12*r**3 + 2*r**2 + 4*r - 7. Let h(k) = 198*k + 1987. Let y be h(-10). Give y*u(s) - 6*q(s).\nAnswer: 6*s**3 + 2*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2)*q**(2\/13))\/(q**(-2)*q**(-1\/2)))\/(q*q**14\/q*q*q*q*q\/(q**(-2)*q*q)*q*q*q)**6 assuming q is positive.\nAnswer: q**(-1597\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1601766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 29 = -x, -9*m + 37 = -11*m - 5*x for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*q = -11, -q + 4 = -2*v - 3. Let k be (v\/6)\/((-3)\/30). Let x = -2 + k. Solve 4*u - b = 21, -x*u + 9*b + 20 = 4*b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 12:32 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -p + n - 3, -5*p + 44 = -n. Suppose 6235 - 2275 = p*s. Is s a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1549*x - 722*x + 322050 = -4823*x for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 9*g**2 + 16*g + 14. Let c(j) = -38*j - 7. Let r be c(0). Let k be o(r). Solve k = 5*m + v + v - 28, v - 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 299062 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/3360519 and -107\/16482.\nAnswer: 275562558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 + 2. Let c be i(2). Let y = -20 + c. Let q(f) = f**2 + 4*f - 12. What is the tens digit of q(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**8\/84 - 4*c**7\/105 + 2*c**5\/15 - c**4\/6 - 7*c**2. Suppose a(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 7*y**2 - 4*y - 1. Suppose 0 = -2*r + 4 - 2. Let u(k) = k**3 + k**2 - k + 1. Let o(i) = r*p(i) + 2*u(i). Suppose -5 + 11 = j. Determine o(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 106 - 83 = 0. Suppose 38 = -x + 9. Let f = x - l. What is the highest common divisor of 51 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -61522497?\nAnswer: 61522503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 12:55 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g + 46. Let w be r(-20). Suppose 4*l - 64 = 80. Let y = l + w. Solve -3*m + 5*u = -25, 3*m = -4*u + y + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3805472 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4af - b7d?\nAnswer: -6ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2)*-6 - (-1 - 1). Is -3\/32 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 3*f + 1. Let r be k(-2). Let t = 12305\/3 - 50249\/12. Let q = t - -86. What is the closest to -2 in q, r, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 67 + 27 = 0. Let l(b) = b**3 + 6*b**2 - 3*b + 6. Let f be l(-6). Calculate the remainder when 18 is divided by (15\/9)\/(n\/f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 0 + (11 - (-10)\/(-1)). Let n(j) = j - 1. Let v(a) = 2*a - 8. Give w*v(s) - 6*n(s).\nAnswer: -2*s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27, 71, 217, 525, 1055, 1867, 3021, 4577?\n\"Answer: 10*k**3 - 9*k**2 + k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01050300386 to 6 decimal places.\nAnswer: 0.010503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**2 - 4*b + 5. Let v(a) = -2*a**2 + 2*a - 2. Let d(u) = u**3 + 5*u**2 - 2*u + 3. Let h be d(-4). Suppose -4*i = 7 - h. Determine i*v(f) + 2*g(f).\nAnswer: -2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1183 + -568. Suppose -q + 0*q + 136 = 2*x, -3*x - m = -5*q. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -57*v + 62*v + 9, 2 = -4*l - 3*v. Solve j + 1 = -5*b, b - 5*b = -j - l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29600)\/(-17094) - 54\/33 - (-3104)\/42?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*k - 2*d**3 - 7*d**2*k + 46463*d**2 - 1974126*d*k - 9*d - 4*k + 1 wrt d?\nAnswer: 12*d*k - 12*d - 14*k + 92926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/15, -1, -0.5, -0.2, -49, 1\/15?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (2 - 0) + -8 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160 by 2.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8. Let j be (-7 + 16\/4 - -4)\/(-1). Let b = -12 + 20. Let u(w) = w - 1. Let p(k) = b*u(k) + j*n(k). Let o(g) = -g**2. Calculate o(p(l)).\nAnswer: -64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*sqrt(95)*2 + 4*4*sqrt(95))\/((sqrt(15) - (sqrt(15) - 1*sqrt(240)))\/(sqrt(3) + (-2*sqrt(12) - sqrt(12)))))**2.\nAnswer: 38475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -11*i + 131. Let q(g) = -17*g + 262. Let x(m) = 7*o(m) - 3*q(m). Let h be x(4). Solve 4*s - 1 = y + 3*s, -3*y + h = 3*s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18720 and 134160.\nAnswer: 804960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 1152?\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 408726598447 and -0.2.\nAnswer: 408726598446.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*1 + 1 - (2 + (sqrt(891) - (sqrt(891) - (-1 + sqrt(891) + sqrt(891))))))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*d = -46, -29 = -5*q + 2*d + 65. Suppose -q = -4*h + 26. Solve -h = 2*f + x, 5*f - 2*x + 0*x = -23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1708161 divided by -18771.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/15 + 196\/(-12). Let r be (-11)\/(-9) - (-2)\/(-9). Let j = r - y. What is the remainder when 35 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*q + 28 = -508*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4945566 to the power of 1\/2, to the nearest integer?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/504 and -75\/196.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 2)*(2*i - 3*i + 2*i) + 4*i - 7 + 7 to w*i + b and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 = -5*z, 1 = 2*z - 4*h + 3. Let t be z - (-1 + -1 + -3). Solve -2*w + t = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010011101 (base 2) in base 10?\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 33*v = 10*v - 278292. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**8\/11200 + p**7\/4200 - p**6\/1200 + p**5\/3 - 18*p**2. Let n(j) be the third derivative of k(j). Factor n(f).\nAnswer: 3*(f + 1)*(3*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 414664304 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 1. Let w(d) = 25*d**3 + 3*d**2 + 23. Let o(v) = -4*p(v) + w(v). Find the third derivative of o(m) wrt m.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -19. Suppose 4*f + q = 1. Let k = f - -4. Solve 0 = 2*v - k + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 + 8 + 9*l + 24*l + 23*l - 12*l as u*l + d and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/5, 0.1, -6\/7, -3, 13, 1\/959, -2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 6*z**2 - z + 5. Let r be j(6). Let x be (-1 - -2) + (3 - -1). Sort -5, r, x in descending order.\nAnswer: x, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**7\/140 - z**6\/16 - 3*z**5\/20 - 26*z**2 - z. Suppose k(d) = 0. What is d?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2095 divided by -294\nAnswer: -2095\/294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 3:37 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3 + 2 - 2 + a. Let c = 18 - -2. Calculate the smallest common multiple of c and u(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 26 = -3*b - 2*z, 2*b + 2*z = 18. List the prime factors of b + -5 - (5 - 163).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 13 - 62 = 0. Suppose -i*b + 690 = -44*b. Is b a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8 - 36 = 2*d, 3*d = 4*s - 58. Suppose 111 - 79 = -s*o. Let t be (-3)\/6*(1 - 1). Put t, o, 5 in decreasing order.\nAnswer: 5, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -718*a + 60 - 29 - 772*a + 28*a - 31 + (0 - 1 + 3)*(-2*a - 3 + 3) + a + 6 - 6 as j + v*a and give v.\nAnswer: -1465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 92.61898 years?\nAnswer: 1111.42776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1564837.\nAnswer: 1564837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 213\/(-77) + (29\/(-174) - (-5)\/66)\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 5)*(0*a - 2*a + 5*a)*(-4*a + 2*a + 3*a) - 9 - 12*a**2 + 9.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 938 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/176 equal to 0.012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 2, -31, -98, -211, -382, -623, -946?\nAnswer: -1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 75 = -9*g + 20*g + 5*s, 3*s = -13*g - 101 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -79 times 10\nAnswer: -790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + -1223?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -7, -2\/13, -10?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h - 3. Let t(g) = -7*g + 45. Let k be t(6). Let q(v) = -5*v - 4. Let c(w) = k*q(w) - 4*u(w). Let b(j) = 2*j**2 - 103. What is c(b(m))?\nAnswer: 2*m**2 - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (-38)\/(12768\/9394).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*j**3 + 3*j**2 - 28 - 14*j**3 - 29 with respect to j.\nAnswer: -6*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 12:15 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/8 and -49\/3688?\nAnswer: 3688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1136*r**5 + 4*r**3 + 8643*r wrt r?\nAnswer: 22720*r**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47902 + 356*z**2 + 47902 to i + o*z**2 + a*z and give o.\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1008 and 374472?\nAnswer: 748944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/1 + 10032\/2508?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 - 38*k - 58. Let h be j(-17). Suppose -27*g = -h*g - 34. Solve g*v - l = -4 - 7, l - 8 = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147572 and 632?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8663158 and 476.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofo when three letters picked without replacement from {f: 1, o: 2, p: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3276)\/12740)\/((-9)\/(-60))*(-2 + 3).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*q - 43*q = 19 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1613 - -1676. Calculate the lowest common multiple of 48\/(-72)*(-27)\/2 and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 906*a**3 - 456*a**3 - 8437 - 451*a**3.\nAnswer: -a**3 - 8437","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.64 and -1.6.\nAnswer: -15.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -19 (b) 1448 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 18*d**6\/5 - 5*d**4\/4 + d**3\/2 + 129*d. What is the third derivative of f(l) wrt l?\nAnswer: 2592*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15664 - 14476. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 12*m - 1. Let u be i(1). Let l = 9 + u. Solve 3*r - g = -4*g - 30, 0 = -5*r + g - l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 989 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6)*(4 + -1). Solve -j*n - 3 = 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, i: 2}. What is prob of sequence inn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v + 2*t = 16, -8 = 2*v - 4*t. Suppose 0 = -i - s, 2*i + 2 = -4*s - v. Is i less than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 9*q**2 - 25*q - 27. Let k be g(-11). Let i = -18 + 21. Let a(m) = -1 - 2 + 11*m**2 - 4*m**2 - 7*m - m**i. What is a(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/642798 and -103\/131856.\nAnswer: 5142384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 10, 2, 8, -0.1, 9994?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -503858 divided by -1319?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**5\/7 + 2*f**4\/7 - 1126*f**3\/7 - 4402*f**2\/7 + 1124*f\/7 + 4400\/7 = 0.\nAnswer: -22, -4, -1, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.74?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1138 - 1137.853. What is the second smallest value in -5\/3, 5, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 27. Let p(a) = 2*a - a**3 - 4*a**2 - 7 - 9*a + 2*a**3. Calculate the remainder when p(6) is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 51. Let o = -123 - -144. Calculate the remainder when u(o) is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2043 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/15 - 943\/5. Let h = -122 - a. Suppose 0 = 4*s - 57 - h. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 7 - 11\/4*c + 1\/4*c**2 = 0.\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 13*y**5\/60 - 5*y**3\/6 - 15*y**2\/2 + 58. Let v(q) be the second derivative of t(q). Let z(u) = 2*u**2. What is z(v(p))?\nAnswer: 338*p**4 - 260*p**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -901460 less than -1761?\nAnswer: 899699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -24. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 5*p - 2. Let l be b(3). Let y be (-11858)\/33*(1 - l). List the prime factors of ((y\/21)\/(-11))\/(4\/(-138)).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -2*y - 45 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*z + 3213 + z - 4*z - 6*z)*(3 - 2*z**2 - 3).\nAnswer: -4*z**3 - 6426*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456274376?\nAnswer: 2, 43, 59, 22481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from qqvvqqqqqqqqqvqqvv.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491368 take away -0.1?\nAnswer: 1491368.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(2982\/(-108) + 27) - (1 - -7). Factor 2\/11*f**3 - s*f**2 - 16\/11 - 20\/11*f.\nAnswer: 2*(f - 4)*(f + 1)*(f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.332 + 0.23. Let a = 0.61 + -0.582. Let j = a + g. What is j rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -312773*i. Is l(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 20*q**2 - 30*q + 20. Let d be x(-19). Suppose -d = -24*h - 85. Solve -h = t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127 - 114. Suppose 5*h - 64 = -u - u, 5*h = -3*u + 66. Is h <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) + (-165)\/2. Let y = d + 83. Which is greater: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 divided by -2?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t + 2*t**3 - 78 - t**3 + 81 as m + r*t**2 + o*t + p*t**3 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -0.018 (c) 0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = 7*v - 3*n - 5, 4*v + 3*n = -10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9134.4582 + -9209.52. Let z = -0.0618 - g. Which is the closest to 1? (a) z (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(((j**(-20)*j)\/j)\/j)*j*((j\/(j**(-3\/7)*j))\/j)\/j assuming j is positive.\nAnswer: j**(150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 211108 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -21*j - 54. Let r(x) = 3*x - 1. What is d(v) + 6*r(v)?\nAnswer: -3*v - 60","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-66)*1197\/(-798).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 7) + -4 - -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*u - 0*u + 8, 0 = -2*y + 2*u + 8. Let s be (3\/((-9)\/(-15)))\/1. Suppose -3*m + 37 = h + 2, -s*m + 62 = -2*h. Solve 4*o + y = m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 11587*h**2 - 248*h + 486. What are the prime factors of d(2)?\nAnswer: 2, 3, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3203914 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: Simplify 1*sqrt(605)*-6 + 5 + 5.\nAnswer: -66*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13152952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1110 = -72*d + 70*d. What are the prime factors of d?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*v + 875, -3*y - 11 - 154 = -v. What is the units digit of v\/24*(-6)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7400, 17, 4, 3, 0 in increasing order.\nAnswer: 0, 3, 4, 17, 7400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -890.23 + 520.36. Let o = z + 370. Which is bigger: o or -1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1120.75 weeks?\nAnswer: 677829600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 14456*s**2 + 44368*s**2 + 46 - 24.\nAnswer: 58824*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from gdhthd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 485*j - 9686. Let z be g(20). Let k be (-12)\/(1 + (-62)\/56). What is the highest common divisor of k and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/4772280 and 109\/795380.\nAnswer: 4772280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105498*i**6*w + 17*i**6 + 25*i**2*w + 66*i*w - 74*w + 1 wrt i?\nAnswer: -12659760*i**3*w + 2040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 814 and 60014?\nAnswer: 660154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15976 and -8?\nAnswer: 127808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2297428?\nAnswer: 2, 7, 82051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*(-4)\/30 - (-4460)\/25 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1156?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - 4*u - 2. Let h be p(-3). Suppose 4*i - h - 16 = 0. Calculate the remainder when 43 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.3*-0.1.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 33524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**5\/20 - v**4\/3 - v**3\/6 + v**2 - 5358*v. Let z be (1 + 2)*8\/3. Suppose 0 = -2*w + z. What is n(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 a, and 2 j when four letters picked without replacement from kkakakakkkkjkaaaj?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 79 - 7. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 661 - 234 = -r. Let p = -300 - r. Suppose -3*x - p = -4*x. What are the prime factors of x?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*4\/(-36) - 28\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {l: 1, n: 2, e: 6, a: 1, h: 4, y: 4}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 663a (base 14) in base 11?\nAnswer: 12324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-179458)\/(-10) - (8 - 216\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-32) + (-637)\/(-4). Let m = p - 96. Is m a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 1, e: 5, x: 2}. What is prob of picking 1 x and 1 e?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/7)\/(4\/42). Let i = o - -3. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - j = 46, j - 85 = 5*w - 23. Let c be (-1 - -8)\/(2\/(-4)). Let f = w - c. What is the smallest common multiple of 16 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 3*q - 2. Let p be l(4). Let d = p + 11. Suppose -d = -0*v - 5*v, -5*s + 51000003 = 3*v. What is s rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 35*c**2 - 1120*c - 2340.\nAnswer: 5*(c - 13)*(c + 2)*(c + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(3)*4))\/sqrt(5).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(5\/4)*c)\/(((c*c**(-4))\/c)\/c)*(c*c\/(c*c**(-4)))\/(c\/c**2) assuming c is positive.\nAnswer: c**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5\/11 + 4*l**4\/11 + 34*l**3\/11 + 4*l**2\/11 - 104*l\/11 - 80\/11 = 0. Calculate l.\nAnswer: -2, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**4\/8 + 619447*c**3\/4 - 2890775*c**2\/8 - 1238901*c\/4 = 0 for c.\nAnswer: -412967, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -402936, -805917, -1208906, -1611903?\n\"Answer: -4*n**2 - 402969*n + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w. Let d(i) = -35*i + 11. Let j(q) be the third derivative of 7*q**4\/24 - q**3\/3 - 3*q**2. Let p(b) = -2*d(b) - 11*j(b). Calculate p(f(u)).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 8:45 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + b - 4. Let f be s(2). Suppose 5*g - 3*g + 2*j = 96, -f = 2*j. Suppose 0 = -h + g - 46. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + (2 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1 (c) -12 (d) 0 (e) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -1 + 1 - -29. Suppose 3*s = 73 + t. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(72)*-2)\/(sqrt(8)\/sqrt(2)*5 - sqrt(4)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 4*t - 3*b, -2*b = -20656*t + 20666*t + 52 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-42))\/((-8)\/12). Let n = 1 + -2. Let h be (2\/3)\/(6 - 10). What is the nearest to n in y, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcmggcgggzmggm. What is prob of picking 1 z and 1 c?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (58384\/(-1107))\/(-89) - 2\/3\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, -5, 5, 9, 2.\nAnswer: -146, -5, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -383, -2816, -8389, -18350, -33947, -56428, -87041?\nAnswer: -127034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(12)\/sqrt(4))**2 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1620)*2 - sqrt(1620)) + sqrt(20) + sqrt(60)\/sqrt(3)*3)*-2)\/((1*((-2*sqrt(480) - sqrt(480)) + sqrt(480)))\/sqrt(12)).\nAnswer: 13*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 - 2*t**2 + 1 + 5*t**2 + (3 - 4 + 2)*(3*t**2 - t**2 + 0*t**2).\nAnswer: 3*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.3 - -12.2. Let p = 28 - w. Put -4, p, 2\/7, 0.4 in ascending order.\nAnswer: -4, 2\/7, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 15 (b) -83 (c) -2\/17 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 10*z**3 - 21*z**2\/2 - 21*z + 55. Let k(o) = 3*o**2 - 2*o - 2. Calculate 42*k(p) - 4*w(p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45588 divided by -5?\nAnswer: -45588\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-159)\/106*(-6)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.61906382 rounded to 0 dps?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 5*q**2 + q. Let d be x(5). Suppose 0 = z - r + 3 - 1, 2*z + 2 = 3*r. Put -1, d, z in descending order.\nAnswer: d, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13529785907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(1*(-3)\/(-6)). Suppose d*h = 3*h. Suppose -3 = -r - 1, -2*y - 5*r + 40 = h. What is the remainder when 57 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4095*z - 4054*z - 82 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -697*o - 45713 = 393*o + 1599*o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 48185, 48220, 48301, 48452, 48697?\n\"Answer: 4*k**3 - k**2 + 10*k + 48172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 7 = -71. Calculate the remainder when g is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422824 a multiple of 1199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -15)*37 - 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17328258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -5. Suppose 0 = 5*g - z + 1 + l, 3*z = -g + 4. Suppose -1834 = 3*k - 1825. Put k, g, -1 in decreasing order.\nAnswer: -1, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r**2 - 183*r - 198. Calculate o(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2386 - 29cd?\nAnswer: -4d75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 338 and 9606064.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 4:20 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61454 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21928772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.645 rounded to one dp?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1503 and 808280.\nAnswer: 7274520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**4\/4 + 7*a. Let f(j) = -7*j. Give f(s(r)).\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3113834 is divided by 239517?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300472294?\nAnswer: 2, 150236147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19364 - -19511. What is the remainder when c is divided by 2 - 1 - (-4 - 36)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*b - 860106, 520880 = 3*b + 15*p - 124282. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1088 and 952.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 378?\nAnswer: 2646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -129 * 86236\nAnswer: -11124444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 8:57 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Let c = -13\/10 + 4\/5. What is the closest to -1 in c, u, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/448 and -43\/336.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - s - 318. Suppose 4*j = 1903*l - 1900*l + 662, 2*j - 266 = -5*l. Is j at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 4*j + 4. Are j and 2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48.6 + 58. Let y = 9 - z. Let i = -1.5 - -1. Which is the smallest value? (a) i (b) 0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 9*z**2 + 6*z - 8. Calculate x(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 114\/39)\/(-175 - -174)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-43)\/2*154\/(-154)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1318 is divided by 376?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 12. Let u be l(-12). Suppose -4*j + 208 = -u*j + 3*m, 2*j - 82 = 4*m. Is 25 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -8*x**3\/3 + x**2\/2 - 73*x + 19. Let h(z) = 3*z**2 - z + 36. Let y(a) = 5*h(a) + 3*s(a). Differentiate y(p) wrt p.\nAnswer: -18*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35588 = 784*h - 1358*h for h.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + y - 2*y = -1, -2 = -2*k - 4*y. Suppose 5*i = 2*z + 6, 0 - 2 = i - 2*z. Calculate the smallest common multiple of k and 4 - i\/(1 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1032\/52 - (-6)\/39. Let 184*k**3 + l*k**2 + 45*k**5 + 55*k**5 - 32*k + 28*k**2 - 300*k**4 = 0. What is k?\nAnswer: -2\/5, 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 18*u - 20. Let g = 61 - 58. Suppose 44 = -3*i - 0*i - k, -2*i - g*k = 27. Is 20 a factor of q(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50999 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.1 - -19.1471. What is w rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -24. Suppose u = -4*g + 22, k*u + 5*g = 20 + 9. Suppose -3*s = -u*i - 7, -5*i = -4*s - 6*i + 24. Put s, -2, 3 in ascending order.\nAnswer: -2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21072898.\nAnswer: 2, 7, 11, 193, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/23 less than -190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -216516 + -1?\nAnswer: -216520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 + a82?\nAnswer: a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.1, -2\/3, 1, 3, -5584 in increasing order.\nAnswer: -5584, -2\/3, -0.1, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*l - 3 = -300*l - a, -2*l + 5*a = -17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*d - 96 = 429*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3. Suppose a*p - 9 = -3*p. Find the second derivative of p*x**5 + x - 2*x**5 + x wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**3\/3 - 9*m**2\/2 + 10*m. Let g be v(-7). Suppose -g*c - 5*j = -60, 0 = 2*c - 2*j + 5 - 21. Solve -o - c = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = j + 3*l, -5*j + l + 4 = 12. Let i be 12\/78 - ((-50)\/(-182))\/j. Which is the second biggest value? (a) 1 (b) -3 (c) 5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 46 - 17 - -29?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z**2 + 11*z - 11. Let y(r) = -6*r**2 + 9*r - 9. Determine -5*h(b) + 6*y(b).\nAnswer: -b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6209099418?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -24763*d - 866703. Determine g(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -1207210?\nAnswer: 1207210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 + -5018995\nAnswer: -5018995.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5335 + 5335.1. Which is the nearest to n? (a) -4 (b) -7\/6 (c) 1 (d) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**5\/5 - 13*t - 2. Differentiate x(f) wrt f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -61*b**3\/6 + 5*b**2\/2 - 52*b - 5. Let m(p) = 4*p**2. What is g(m(f))?\nAnswer: -244*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*x = -34, -4*f = -0*f - 5*x - 23. Let m be 58\/204 + f\/(-918)*9. Suppose 0 - m*a**2 + 5\/6*a = 0. What is a?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((15 - 16) + -1 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m*m*m**(-6)*m*m*m)))\/(m\/(m**2\/m)))**(-41)*(m**(-1\/3)*m)\/(m*((m**(-2\/11)*m)\/m*m*m)\/m)*m*m**(-4\/3)*m\/(m**(3\/5)*m*m)*m assuming m is positive.\nAnswer: m**(-344\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b**(-1))\/b*b*b*b)\/b*b*b*b)**(4\/5)\/((b**(-6)*b)\/(b\/(b\/(b**(1\/4)\/b)*b))) assuming b is positive.\nAnswer: b**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4403, -14402, -29999, -51194, -77987, -110378?\n\"Answer: -2799*r**2 - 1602*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9898072 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-3 - -2) - -8 - -40.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 4*w = 12. Suppose -x = -w*y - 9, 2*x - 7 = -3*y - 0*y. Is 6 a factor of 0 - (1 + (y - 13))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -22, -1.6, 10.7, 21 in decreasing order.\nAnswer: 21, 10.7, -2\/7, -1.6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -29, -59, -111, -191?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21760 is divided by 330.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 723402 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 363, -3075, -3 in decreasing order.\nAnswer: 363, -3, -3075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**2 - 3*n + 3. Let m be i(-3). Let o be ((-114)\/8)\/(3*1\/(-16)). Let f = o - m. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 82*p - 6 - 2*p**2 - 16 - 58.\nAnswer: -2*(p - 40)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -6132485.\nAnswer: 613248.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37808 by -136.\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -12*v**2 + 19*v - 176. Let l(j) = 4*j**2 - 7*j + 59. Give -3*b(f) - 8*l(f).\nAnswer: 4*f**2 - f + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 - -130. Let a = q - 82.9914. Round a to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yejveeyyev. Give prob of sequence veye.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28816587, 57633193, 86449801, 115266411, 144083023?\n\"Answer: k**2 + 28816603*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 11*v**2 - 2*v + 1. Let d(r) = -31*r**2 + 540*r - 3. Calculate -d(p) - 3*i(p).\nAnswer: -2*p**2 - 534*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5785 and 455.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 1920*a**4 + 3*a**3 + a**2 + 7*a - 711. What is the third derivative of t(z) wrt z?\nAnswer: 46080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 289 - 87. List the prime factors of z.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/11 - ((-69)\/27 + 3).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.095 + -0.09499881. Round a to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21619403 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t**2. Let m(k) be the third derivative of 7*k**5\/120 + 8*k**3 - 44*k**2. Let s(r) be the first derivative of m(r). Determine s(g(y)).\nAnswer: -49*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h**(-3\/5))*h*h**(-14) assuming h is positive.\nAnswer: h**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7*d**2 - 77*d + 1. Suppose -5*f + 5 = 3*q + 43, 2*f + 2 = 0. Determine y(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 1005.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.156 + 0.656. Let o = -4.7 + 5. Let h = -0.13 - 0.07. What is the nearest to -3 in k, h, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2650*t**2 - 172289*t + 2544. Determine s(65).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -v - o, -o + 20 = -v + 4*o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -535.048 and -5?\nAnswer: 530.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 6:43 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 34984 to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**5 + 4*c**5 + 0*c - c + (c**4 - 2*c**4 + 2*c**4)*(-2*c + c - c) + 0*c**3 + 0*c**3 - c**5.\nAnswer: -2*c**5 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-12))\/((-1)\/(-2)). Suppose -2*p = -x*q - p - 50, 3*p = 6. Let t = -5 - q. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6690*r + 3394*r - 7638*r - 435*r + 17.\nAnswer: -11369*r + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**5\/5 + 8*x**4 + 88*x**3\/3 - 6*x + 186. Factor y(u).\nAnswer: 4*u*(u + 2)*(u + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3502461 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: Put 2, 5, 11, -87 in decreasing order.\nAnswer: 11, 5, 2, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 2 + 899*50\/4350.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1199 or -1202?\nAnswer: -1202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -21. Calculate the common denominator of 169\/(-12) + z\/(-3) and 4\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40.1 != 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/298 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4233 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 + c**4 + c - 2*c**2 + c**4 - 3 - c**4 - 3*c**4 to the form q + i*c**3 + u*c**4 + v*c**2 + k*c and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*y - 262*c**2 + 463895*c - 15780268*y**3 with respect to y.\nAnswer: c**2 - 47340804*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/5*(11\/22 + (-19)\/42).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 4 + (16 - (-3 - (8 + 24))).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 1:39 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 608\/208 - (-4)\/52. Suppose -m = z*i - 22, -9 - 11 = 5*i. Which is smaller: m or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -100, -129, -180, -259, -372?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 83766.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + (sqrt(72)*1 - sqrt(72)))\/sqrt(3) - (sqrt(600)*-1 - sqrt(600)))\/(-2*sqrt(588) - (-2*sqrt(72)\/sqrt(6) - sqrt(12))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 23. Let y = 26647.3 + -26647. What is the smallest value in y, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 48*k - 2912. Let i be g(62). Solve 203 - 11 = -i*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 0*j**5 + 0*j**3 + 0*j**2 - 43*j + 1\/12*j**4 - 1\/30*j**6 + 0. Factor c(g).\nAnswer: -g**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1600? (a) -4 (b) 8 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuu. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92865 - 2*b**2 + 371469 - 92871 - 92864 - 92869.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*m**4*y - 60086*m**4 + m**3 + 1437*m**2*y + 99*y wrt m?\nAnswer: 120*m*y - 1442064*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 183, 325, 451, 555, 631, 673?\n\"Answer: -k**3 - 2*k**2 + 155*k + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 789 or 791?\nAnswer: 791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let x(u) = 5*u. Let n(s) = 11*a(s) + 2*x(s). Let m(b) = -6*b - 1. Let d(v) = -m(v) + 2*n(v). Suppose -f + 5 = -6*f. What is d(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4 - 9 = 0. Let x = -0.02 + -0.38. What is the third smallest value in x, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**4 + 121388*h**3 + 918690472*h**2 - 34162554240*h - 35081123328 = 0.\nAnswer: -15192, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*-2*(5824\/84)\/8?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s**2 + 138*s + 1562. Give v(-13).\nAnswer: 1289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1079\/105 - -62\/15. Calculate the common denominator of ((-2)\/11)\/((-4)\/(-8)) and x.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3400416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163 + 158. Let r(q) = 559*q**2 - 18*q - 18. Is r(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 52078?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.1 less than -0.1054?\nAnswer: 9.9946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2020, 7, -25, -5 in ascending order.\nAnswer: -25, -5, 7, 2020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/5)\/(((-4)\/(-10))\/(-2)). Let f(c) = -4*c + v*c + 4*c - 2*c. Let p = -2 + 1. What is f(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-355)\/(-6) + 129536\/33792\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/7)\/(12\/917) + -1 and (-6)\/(-6) - 42\/40.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - -0.1. Which is the closest to -0.2? (a) 3 (b) p (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -755 + 753. Which is smaller: b or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -258756 divided by -64689?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 149.628804 to 2 decimal places.\nAnswer: 149.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -5\/35341?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o - 1. Let u = -385 - -385. Suppose 8*n + 6*n - 70 = u. Let k(z) = 4*z + 1. Give n*a(r) + 6*k(r).\nAnswer: 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 - i**4 + i**4 + (-i + i + i**3)*(-2 - i + 2) + 2*i - 2*i + 3*i**4 + (3 + 0 + 0)*(-4*i + 4*i - i**4) - 4*i**4 + 6*i**4 - i**4.\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18\/103 + 574\/927. Let t = 12 + -16. Let a = t + 19. Sort 2, q, a in decreasing order.\nAnswer: a, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + -2 + -3 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 5*m + 4. Let a be f(-4). Let y(b) = a*b**2 - b**2 - b + 6*b**2. Let v be y(1). Solve 0 = -4*t - v*p - 4, 5*t + p + 0*p = -21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -329\/12 + 83\/3. Let d = -12 + 8. Let x be (-3)\/12 - 3\/d. Which is the smallest value? (a) x (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s + c - 88 = 0, -s = 2*c + 100. Let a = 96 + s. Calculate the remainder when a is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1410314 - -7167215711\/5082. Calculate the common denominator of -59\/4235 and a.\nAnswer: 25410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u - 6. Let p(g) = -5*g - 5. Let z(o) = -6*b(o) + 5*p(o). Let s be z(5). Suppose s = a - 4. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2126628034.\nAnswer: 2, 1063314017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -1) + -10 + 19 + -11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a**3 + 475*a**2 + 90*a + 866. Determine g(-79).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*((-19)\/(-20) + -1))\/(138\/(-230))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 527091136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -676 at most as big as -674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*n - 2, -2*h - 5*n = 3*h - 20. Suppose -2*l + 21 = h*l - w, -3*w = 5*l - 5. Solve 1 - l = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 167 + 36. Calculate the highest common factor of 145 and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*f + 1760 = 4*f, 4*l + 5*f - 1437 = 0. List the prime factors of l.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -4*j**5\/5 - 17*j**4\/2 + j**2 + 6*j - 42. Find the second derivative of a(r) wrt r.\nAnswer: -48*r**2 - 204*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/135 + -223\/135. Sort y, 0.2, -1\/2.\nAnswer: y, -1\/2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -4, -292.\nAnswer: -292, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33.24 - -30. Let j = s - -3.2834. Round j to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5 = 93. Calculate the greatest common divisor of 88 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 79*v. Let w(t) = -83*t - 5. Let l(i) = -n(i) - w(i). Give l(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**5\/13 + 136*z**4\/13 - 762*z**3\/13 + 1116*z**2\/13.\nAnswer: -2*z**2*(z - 62)*(z - 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (22 - -7836)*8\/16.\nAnswer: 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135755390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4))**2 + -1 + sqrt(3) + sqrt(300)*2.\nAnswer: 2 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -949900 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*m**3 - 38*m + 40*m + m**3)*(-m**2 + 4*m - 4*m - 3*m + 3*m + m**2 + (0*m + 0*m + 2*m)*(-2 + 2 - 2*m)).\nAnswer: 40*m**5 - 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1951 = 6*n - 10*n + 5*z, -n + 496 = -4*z. Suppose 3*d - 1633 = w, 3*d + 3*w - 1157 - n = 0. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29099.31105 to the nearest one hundred.\nAnswer: -29100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/9 - (-8)\/36. Let o(k) = k + k + t*k. Let a(i) be the third derivative of i**5\/60 - i**2. Determine o(a(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3520)\/1232)\/(63\/(-49)).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 84 = -4*r. Suppose 4*j + r = 4*d, -5*j + 6 - 99 = -d. Let s = j - -12. Let o(l) = -l + 8. Determine o(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + -2*sqrt(13))*2)**2*3 - (-1 + sqrt(1573) + 4 + sqrt(1573))**2.\nAnswer: -6145 - 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 488, 885, 1284, 1685?\nAnswer: 2088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/6573 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u - 2*u**2 + (-4*u + 2*u + u)*(1 - 1 + 2*u))*(-3*u + 9 - 9).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -493412 or -10361630\/21?\nAnswer: -10361630\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3767011, 7534020, 11301029, 15068038, 18835047, 22602056?\nAnswer: 26369065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -40. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 2.2\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 13*y**2 - 3434*y + 6828. What is b(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 21, 2, -45, -126, -247, -414, -633?\nAnswer: -910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -52740, -52729, -52716, -52701, -52684, -52665, -52644?\n\"Answer: l**2 + 8*l - 52749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p + 15. Suppose -i + 2*z + 5 = 0, -2*i + 4 = 4*z - 2*z. Find the second derivative of -u**3 + 3*u - p*u**3 + 6*u**3 + 0*u**i wrt u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81d (base 15) in base 11?\nAnswer: -1412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1868, 3736, 5604, 7472, 9340?\n\"Answer: 1868*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 91*s**2\/8 - 45*s\/2 - 1\/2.\nAnswer: (s - 2)*(91*s + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -52086.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f + 0 = -45 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 8, 0.278 in decreasing order.\nAnswer: 8, 0.5, 0.278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156 by -2.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.41 + -1.41. Let p = 5 - 7. Which is the closest to p? (a) 4 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18281011*y**2 - 4*y + 691846?\nAnswer: 36562022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 950 and 950.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.45034, 2, -6, 1.02.\nAnswer: -6, 0.45034, 1.02, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78954305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 2)*(r - 5*r + r) + (11 - 25 + 11)*(4*r - r + 2*r) + 11*r - r - 5*r as v*r + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (690*z - 690*z + 2066*z**2)*(-3 + 3 - 2*z).\nAnswer: -4132*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 + 13 - 1*-5 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4849.1 + -5127. Let v = a - -273.973. Round v to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 179 * -538.\nAnswer: -96302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) - 67\/(-2). Let o = -89 + z. What is the units digit of o\/(-21)*6\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 740*v - 6 = -743*v, -v + 10 = -l + 2*v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (-14 - -41 - 12 - 16).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-9))\/(2\/(-6)). Let u(z) = -z + 0*z + 3*z. Let b be u(t). Solve b*n - 2 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.5, -0.4, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/8 and 37\/316.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7145 + -8993.2855. Let o = m + 8993.93331. Let t = 0.068 + o. What is t rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*12\/64)\/(-4*399\/(-2432))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49104 and 261206.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.31 - 2.3. What is c rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 8*z - 83, 3*w = -3*z - 156 + 186 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 144*j*q**3 + 54*q**3 wrt j?\nAnswer: 144*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 439896342 and -0.3.\nAnswer: 439896341.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-60)\/(-7))\/(-2))\/(537\/(-1253))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 11. Let l be 23\/t + (-6)\/21. What is the third derivative of -1 + 23*p**3 - p**2 - 25*p**l + 1 wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 72. Let x = -54 - m. What is the second smallest value in -1, x, 1, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7502 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206986 divided by 7961.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 273 - 269. Suppose -18*s = i*s - 4686. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4777, -9541, -14305?\n\"Answer: -4764*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0844800848 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h**2 - 4*h - 4. Let q(v) = 7*v**2 + 5*v + 5. Let m(l) = 5*c(l) + 4*q(l). Let a(b) = b**2 - 3*b - 103 + 103 + 0*b**2. What is a(m(n))?\nAnswer: 4*n**4 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from {a: 3, u: 4, n: 1, q: 2, w: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**4\/3 - 2035*y**3 - 90430*y**2\/3 + 8140*y + 120600 = 0.\nAnswer: -1206, -15, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**8\/112 + 9*r**7\/70 + 7*r**6\/20 - 14*r**5\/5 - 12*r**4 + 64*r**3 + 3*r**2. Factor c(x).\nAnswer: 3*(x - 2)*(x - 1)*(x + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 90.2547 kilograms?\nAnswer: 90254700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i**4 + 591*i**3 - 6126*i**2 + 3216*i + 2304 = 0 for i.\nAnswer: -48, -2\/5, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (10 - 10) - (-6 - 15)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8276 - -4?\nAnswer: 4.8276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 12:52 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2212 + -241110?\nAnswer: -243322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 211 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*o + 17466 = -127*o + 3*o for o.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + r + 9 = 0, -17*r + 20*r + 27 = -4*w - 0*r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (348\/(-14))\/((-21*2\/14)\/(21\/2)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = 2*x, -29*b = x - 33*b + 8. Suppose 0 + x*k + 1\/2*k**4 - k**3 + 1\/2*k**2 = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 less than 4.4907?\nAnswer: 4.3707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 - 0.81. Let y = -0.5 - v. Sort y, 0.3, -0.3 in descending order.\nAnswer: 0.3, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12511127*d*s**3 + 11*d*s**2 - 2*d*s - d + 14*s**2 - 15*s + 129 wrt s?\nAnswer: -75066762*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 483697866?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + d + 11. Let a(l) = -2*l**2 + 5*l + 15. Let t(k) = k**2 - 2*k - 8. Let b(q) = -2*a(q) - 5*t(q). Let p(y) = 6*b(y) - 4*w(y). Factor p(s).\nAnswer: -2*(s - 2)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 + 10*o**2 - 7*o. Let n = 11 - 6. Let l(b) = -2*b**3 + 7*b**2 - 5*b. Give n*q(u) - 7*l(u).\nAnswer: -u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059475 a multiple of 925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, c: 2, z: 4, j: 2}. What is prob of picking 1 j, 1 t, and 1 z?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.0517 + -0.0283. Let r = t + 18. Let d = r - -3.08. Which is the biggest value? (a) -2 (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcoz when four letters picked without replacement from jcziokicooozkk?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 9 = 4*u - 12, 3*y + 5*u - 17 = 0. Let p be (-2 + 2 - -2) + y. Differentiate -b**2 + 0*b**2 - p - b**2 wrt b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1378 + -1?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k + 12. Suppose 0 = o + 3, 3*z - 7*o = -12*o + 81. Let p be 8\/(-1 + -3) + z. Suppose -5*w + 20 = -p. Give t(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.3 + -15.7. Let v = 27.5 + -20. Let z = v + p. What is z rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7839.305229 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -237, -238, -247, -270, -313, -382?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -31. Suppose 2*i - 24 + 16 = q. Solve -o = i - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/19, -0.13, 1\/10, 2, 0.7?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 - 54. Suppose 210 = l*s - 29*s. What is the highest common factor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4362, -105, 5 in increasing order.\nAnswer: -105, 5, 4362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + r + 7. Put 4, r, 1 in ascending order.\nAnswer: 1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 12 - (18 + -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b - 50*b = -156 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*t = -259*t + 530. Calculate the remainder when t is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 + 7*s**2. Let h(g) = g**3 - 3*g**2. Suppose 0 = 2*x + 6 + 14. Let v(p) = x*h(p) - 4*w(p). Factor v(k).\nAnswer: -2*k**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 + 351098956269.\nAnswer: 351098956268.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9438, -417, 1\/9 in decreasing order.\nAnswer: 9438, 1\/9, -417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 27*b**3 + 26 - 2*b**3 - b**2 - 27 to the form g*b + r*b**2 + q*b**3 + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 6. Suppose 0 = -2*h - 6, 0 = 5*p + 2*h + 32 - 26. Suppose -4*s = -3*g - p*g + 26, 0 = g - 4*s - 22. Solve g*l = -b*l + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**3 + 2*g**2 - 7. Let v be b(3). Suppose 108 = 2*y - v. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 10*z - 8. Is q(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14176663\/13608 - -7292\/7. What is the common denominator of j and 35\/216?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -6*d + d. Suppose 7709 - 1499 = 23*s. Let v = -263 + s. Calculate the highest common factor of v and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8*n*n**(-3\/8)*n)**15 assuming n is positive.\nAnswer: n**(1155\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(4900) - (3*sqrt(4900) - sqrt(4900))*-2 - sqrt(4900))\/((sqrt(1008) + sqrt(1008)*-3)*2).\nAnswer: -5 - 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -645\/533 or -1?\nAnswer: -645\/533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -17*r + 2. Let p be m(0). Which is the closest to 0.7? (a) -1 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 15 = -9*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -159.956?\nAnswer: 63.9824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19302, -17966, -16630, -15294, -13958, -12622?\n\"Answer: 1336*y - 20638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + v + 40 = 0, 0 = -34*f + 30*f - 2*v - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from {r: 2, t: 7, n: 8, g: 1}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -3 + 0*q + 1\/2*q**2. Determine a(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 2:45 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 + 803*((-15)\/(-3) + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603958 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3358.6 rounded to the nearest ten?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - 33?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/105 - -68\/105. Let f = 49 - 44. Which is the nearest to 0? (a) f (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 31*d + 4240 = 0. Is (d\/5 - 3)*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (-8)\/(8 + -4). Suppose -5*l + 252 = -v*l. Let n be -2 + 21\/12 + l\/16. Solve -t - 11 = -6*t - u, -5*u - n = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -9*r. Let o(h) = 85*h + 13*h + 73*h - 17*h. What is -35*a(s) - 2*o(s)?\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 12. Give t(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -229*l + 232*l - 258. What is the remainder when 43\/l - 5\/(-4)*6 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 9*r + 28 - 117 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81381 is divided by 27119?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 112032333?\nAnswer: -112033002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 20552.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**2 - 1293520*x + 104574624400 = 0. Calculate x.\nAnswer: 161690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5454 - -1156?\nAnswer: -4287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6397, -12867, -19333, -25795?\n\"Answer: 2*o**2 - 6476*o + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(243) - sqrt(243)) - (1 + 4*sqrt(243)))**2.\nAnswer: 54*sqrt(3) + 2188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -5 - 2 - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 253 = 2*q, -4*u + 351 = 3*q - 2*u. What is the remainder when q is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*q - 32 - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 125 + -125. Suppose a - 1 = 5*w + 5*a, 2 = 2*w + a. Let k be j*(21\/6 - w). Solve 2*o + 2*p = -6, o - 4*o - 5*p - 13 = k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 20\/27 (b) 2\/177 (c) 1\/11 (d) 1\/2 (e) 0.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2667, 2777, 2969, 3249, 3623, 4097, 4677, 5369?\n\"Answer: m**3 + 35*m**2 - 2*m + 2633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuu. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 669918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4.56087 or 18.75?\nAnswer: 18.75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, 0.5, 10, 249.09?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 + 0.25. Let t = k + -0.48. Let g = t - -0.12. Which is the smallest value? (a) 1\/4 (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48.7+-3960\nAnswer: -4008.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2556126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, v: 2, o: 1}. Give prob of picking 2 v, 1 q, and 1 o.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19 - (-2 + 6 + -5) and (-149)\/(-20) + 1\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g**3 + 68*g**2 + 19*g + 1. Determine p(-11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 4) + 1*123. Suppose -y = -3*t + 73, 0 = 5*t + 4*y + 6 - s. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231123 is divided by 1606?\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 + (0 - -2)\/(8\/20). Let s(k) = -k**3 - 2*k**2 - k - 1. Give s(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*z - 14*z + 42049*z**2 + 1 - 42128*z**2 to the form k + s*z**2 + v*z and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 (base 9) in base 11?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.08 (b) 4 (c) 1\/7 (d) -0.006 (e) -39.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 175, -5, -568 in ascending order.\nAnswer: -568, -5, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1119\/38 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1193 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2. Let t(l) = -1. Let p(f) = 7*t(f) - 4*u(f). Let d(g) = 4*g + 10. Let x(y) = d(y) - 3*p(y). Determine x(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-15)*((-400725)\/(-274))\/117\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 0)\/(0 + 1). Let p be 2\/4*(-44)\/w. What is the greatest common factor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00037134 rounded to 5 decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 16860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 3332?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3094 and 637.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -45028*j + 810504. What is k(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 490896815?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2885*g + 50272 = 6027*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-6))\/(38\/20691). Suppose -2*v - 3*i = -0*i - f, -5*v + 1849 = -i. What are the prime factors of v?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69064 and 27548?\nAnswer: 4903544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1230 - 1233. Which is the third biggest value? (a) q (b) -0.11 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 3*m + 375 = 352, k = 2*m - 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -10 - (-1 - (-3 - 18)) - 3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(7\/11)\/j*j\/(j*j\/j**(1\/10)))**(-1\/10) assuming j is positive.\nAnswer: j**(139\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 59*w**2 - 57*w + 59. What is u(-58)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112 - 12?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 6)*(2*o + o - o) - 89*o - 1411*o - 374*o to n*o + w and give n.\nAnswer: -1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 328 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -39529750 + -1.94\nAnswer: -39529751.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1457 and 0.2192?\nAnswer: 319.3744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**4 + 16*f + 18*f + 6 - 3 + 2*f**4 + 58*f**5 wrt f?\nAnswer: 1160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -90171 or -90173?\nAnswer: -90171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, w: 2, v: 2, l: 5}. Give prob of sequence ww.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*o - 9290 = 2*o - 2450. Calculate the greatest common factor of o and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/8900 and 25\/45 - (-20309)\/(-414)?\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1337*z**5 + 2780*z**2 + z wrt z?\nAnswer: 80220*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*w**2\/3 + 4521447*w\/2 - 616561\/6.\nAnswer: (w + 616561)*(22*w - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g + 9. Let i be d(-6). Let j = -19 - -22. Which is the biggest value? (a) i (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddnsxdfndd. Give prob of sequence xsdn.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a meter in centimeters?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138 and 1130.\nAnswer: 77970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 12. What is the smallest common multiple of m and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58794 divided by -9799?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -11 (c) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1430, 5740, 12930, 23000, 35950?\nAnswer: 51780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -7 + 7. Suppose c*p + 83 = p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 7 + 117*t + 336*t + 2 to the form n*t + b and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3912811 is divided by 65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3 (b) 0.2 (c) 3\/5 (d) 3\/4 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/8*4\/3 - -10. Suppose 3*v + q = 0, 3*x = 2*v + 2*v + 19. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 + -53. Let o be m*4\/6*-3. Suppose -2*s + o*q + 18 = 0, 2*s = -2*s + 5*q + 35. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -14797.612\nAnswer: -7398.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 354815 - -144.\nAnswer: 354959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + 3*m - 5*m - 2 + 5*m + 2 + (-3*m + 4*m - 3*m)*(3 - 3 - 4).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 27 + 32 + 14)*(-3*g - 4*g + 5*g)*(21 + 11 - 7).\nAnswer: -1600*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4811507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 4 - (44 + -8 - 151 - 0).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 0*d + 31*d**2 + 11*d**2 + 0*d.\nAnswer: 42*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 29*m + 6. Let g be o(0). Suppose -g*l + 46 = -50. Let n(q) = 2*q**2 + 2*q. Calculate the least common multiple of n(3) and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 4*w**2 - 4*w**2)*(0 + 2 - 5 + (1 + 1 - 1)*(-2 - 2 + 5) - 1 + 2 - 2 + 4 - 2 + 0 - 1 + 1 - 2).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1*h)**(2\/23))**(-2)*(h**(-4)*h**(1\/9)\/h)**24 assuming h is positive.\nAnswer: h**(-8120\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -11*i**2 - 3. Let m(t) = 32*t**2 + 9. Let s(l) = -l**3 + l**2 + 16*l + 26. Let p be s(5). Give p*m(w) + 17*h(w).\nAnswer: 5*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -t + 4*v, -5*t + 14 = -2*t - v. Calculate the least common multiple of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**4\/3 + 1811*w**3\/3 + 5443*w**2\/3 - 1811*w\/3 - 1814 = 0?\nAnswer: -3, -1, 1, 1814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107838, -215685, -323548, -431433, -539346, -647293, -755280?\nAnswer: -863313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(275)*2 + 2*sqrt(1100) - (-1*(sqrt(396) - (sqrt(396) + -1))*-4)**2.\nAnswer: -20 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 46, 10, -50, -140, -266, -434?\nAnswer: -650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 - -6556?\nAnswer: 6523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (10 + -14)) + 6 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*f**2 + 8 - 8.\nAnswer: -86*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1731 = 273*c - 270*c - 5*x, 0 = 2*c + x - 1154. Calculate the remainder when c is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8830 + -8825. Let l(i) = -i**3 - i**2 + 2*i. Let j be l(-2). Solve 0 = w - j*w + h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7117633900 to the nearest 1000000.\nAnswer: -7118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1007 + 22?\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1400 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 43. Solve z = -m + 6*m - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5236 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6*o - 30. What is the remainder when o is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0.4, -2\/7, -545\/4, 0.026?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-297)\/9)\/(45\/75*45\/(-9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + 19 + -16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4234 and 145?\nAnswer: 21170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 8 + (2 + -1 - -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 9:31 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 - -45?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/36 - (1 - (-33)\/(-16)). Is b < 2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**4 + x**3 + x**2 + x. Let r(v) = 6*v**4 - 3*v**3 + 50*v**2 - 3*v. Let o(c) = 3*n(c) + r(c). What is the third derivative of o(i) wrt i?\nAnswer: 216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + s + 1. Suppose 7*d = 5*k + 2*d - 30, 2 = d. Suppose k*l - 39 - 9 = 0. Let n(a) = -4*a**2 - 5*a - 10. Calculate l*r(o) + n(o).\nAnswer: 2*o**2 + o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -15205420?\nAnswer: -15205421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5)\/(d*d\/(d\/(d\/((d*(d\/(d\/(d\/(d*d**(3\/20)))*d))\/d)\/d*d)))))\/((d\/((d*d*d\/(d\/(d\/(d**(-3\/2)*d))))\/d*d))\/(d**(-1\/2)\/d)) assuming d is positive.\nAnswer: d**(-51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 + 4*a**2 + 3. Let x(n) = -3*n**3 + 4*n**2 + 4. Determine 4*r(f) - 3*x(f).\nAnswer: f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i + 3*n = 20*i + 32, -3*i + 5*n - 32 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 divided by -3?\nAnswer: -181\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 121052 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -779879 (base 10) to base 3\nAnswer: -1110121210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-8)*g*g**(16\/3)*(g*g**(-41))\/(g\/g**(-13)) assuming g is positive.\nAnswer: g**(-116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 2\/2*0. Let x(z) = -3 + 3 + z - 3 + 2. Let q(w) = -4*w + 1 + 2*w - 2*w**2 + 1. Give g*q(a) - 2*x(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -32\/5, -4, 3\/2, -15553?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2 - 10. Let d be (-994)\/(-35) - l\/10. What is the tens digit of d\/(-10)*(-3 + -42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 6. Let m be z(-5). Let v be m - ((-5 - -3) + 1). Differentiate 3 + 2*o + v*o - 5*o wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1377*z + 42691. Calculate o(-31).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 261 + -258. Suppose b - 333 = k, 640 = g*b + k - 343. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -322435574.098362 + 322436291. Let w = p + -1125.902009. Let u = 409 + w. What is u rounded to 5 dps?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/((-60)\/(-93)))\/((-3)\/12). What is the tens digit of (k + 1)*(28 - 26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - y + y)*(2*y - y + 0*y)*(4*y - 3*y - 6*y).\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 + 0*i**2 + 3 - 21*i - 3*i**3 + 3*i**2 - 2 as z*i + o*i**3 + j + b*i**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j = 25. Suppose -101 = -j*s + 2*d, 5*s + 4*d + d - 115 = 0. Calculate the remainder when 61 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 31 = 6, 4*d + 5*q = 39. Suppose 3*s = -0*s - 3*f, -3*s = 2*f. Solve 5*m + 26 = k, k - 3*m = -s*k + d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117596 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*n + 2062*n + 1186*n + 791*n to p + z*n and give z.\nAnswer: 4145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 2*h + 4*h - 12 = 0, 0 = 3*s + 3*h + 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/2 + 8169*c - 16344.\nAnswer: 3*(c - 2)*(c + 5448)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -272, -849, -1812, -3161, -4896, -7017, -9524?\n\"Answer: -193*y**2 + 2*y - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/275, 1\/2, -0.4, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -53675818750 rounded to the nearest one million?\nAnswer: -53676000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.33047us in minutes?\nAnswer: 0.0000000221745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from {y: 1, o: 1, a: 1, g: 1, m: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21135*i + 42262*i - 21134*i + 2 + 5.\nAnswer: -7*i + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87 (base 12) to base 8.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l**2 + 5. Let x(h) = 2*h. What is x(f(k))?\nAnswer: -10*k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 125.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) -31\/4 (c) 5 (d) -396\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 955, 7454, 25051, 59296, 115739, 199930?\n\"Answer: 925*y**3 - y**2 + 27*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - h**2 - 4*h + 4*h. Let q(j) = 2*j**2 + 5*j + 1. Suppose 5*a + 2 = 6*a. Calculate a*q(v) + 5*g(v).\nAnswer: -v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvqvqttvv. Give prob of sequence vt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -96, -63, -30?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -326 + 231. Let f be 10\/(-6)*114\/b. Solve -5*z = 4*a - 4 - 1, a - f*z + 2 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11022 - 100000111220?\nAnswer: -100000100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + 27. Let b = s - 24. Let g(q) = 2*q**2 + 57*q + 287. Calculate the remainder when g(-24) is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10702174, 10702183, 10702192?\nAnswer: 10702201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - 4*d**2 + 4*d - 4. Let i be w(3). Let r = i + 148. What is the greatest common factor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*z - 9 - 152*z + 53*z - 704 + 48*z in the form a + k*z and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + k**2 + 3*k + 3. Let f be h(-1). What is the tens digit of -1 + (-4 - -60)\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqkk when four letters picked without replacement from {q: 10, k: 1, c: 5, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 360, 734, 1108, 1482, 1856?\nAnswer: 2230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 3. Give a(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -57c - -5cd?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x**2 + 464*x + 10. Calculate o(79).\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/21 and 31\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/6 - (-138)\/(-12). Let c(l) = -l**3 + 6*l**2 + 10*l + 15. Let g be c(x). Suppose 0 = 5*a + 3*i - 2450, 4*a = -i - i + g. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -411258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 times -1101?\nAnswer: -97989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 2*o**2 + 2*o**3)*(-2 + 0 + 3) + 15 + 32 - 251*o**3 - 47.\nAnswer: -249*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -141.3011+7\nAnswer: -134.3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 1\/(-1 - 0 - (-8)\/6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1309 and 17591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 8*g**2 + 2*g + 1. Determine u(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbbtkxxhbxhx. Give prob of picking 1 b, 1 k, and 1 x.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -103243, -103247, -103251, -103255?\n\"Answer: -4*m - 103239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 < -36\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 110. Let s = 151 + u. Is s\/2 - 21\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 + 204?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 6*m - 10. Let j = -20 - -29. What is the tens digit of s(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**3 + 350*p**2 + 1524*p - 1885. Let d(y) = -2*y**3 + 176*y**2 + 762*y - 942. Let s(t) = -10*d(t) + 4*r(t). Factor s(l).\nAnswer: 4*(l - 94)*(l - 1)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 1. Let s be i(2). Find the common denominator of 4\/10 + (-6)\/4 and -2*(729\/120)\/s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1330 divide 62503486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 894056587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -560, -916, -1262, -1592, -1900, -2180?\nAnswer: -2426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.50080656 rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (51 + 2520\/(-49))\/(3\/(65 - 2))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/36)\/(((-492)\/(-80))\/(-123)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 514047.4 centuries to millennia.\nAnswer: 51404.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = -l + 114 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4578.44 less than -100.15?\nAnswer: 4478.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 25 - 81 = -g. What is the remainder when 1115 is divided by g?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-162)\/(-44) - (-2)\/(-4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, w: 19}. Give prob of sequence uwww.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**4\/4 + 4*t**3\/3 + t**2 + 2. Let p be a(-3). Differentiate -p*y - 2 + 6 - 2*y with respect to y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 4*x = -7*x - 10, -f - x = 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054971.8ns in minutes?\nAnswer: 0.00003424953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, 1 m, and 1 a when four letters picked without replacement from {m: 2, i: 2, z: 1, t: 1, a: 2, c: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/2085 and -13\/3336?\nAnswer: 16680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**7\/2520 + w**6\/720 - w**4\/4 + w. Let k(n) be the third derivative of a(n). Find the second derivative of k(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37.999 + -0.001. Let r = 35.2 + d. Let m = r - 3.2. Put m, 2\/5, -0.5 in decreasing order.\nAnswer: 2\/5, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87.319 - -87. Round v to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 15*p = -1296. Let n = 118 + p. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**3\/7 - 36*r**2\/7 - 30*r - 400\/7 = 0.\nAnswer: -8, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 9. Let k be j(-11). Suppose 0 = 4*c - 0 - 4. Suppose -k + c = -n. Is -2 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in 4\/3, -1, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + (5*(4*(2 + sqrt(1216)) - sqrt(1216)))**2 - (-5*-2*(-1 + sqrt(1216))**2 + -2)).\nAnswer: 9760*sqrt(19) + 263024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 1 + 5. Let j = b - -5. Let p = j + 0. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 89170?\nAnswer: 89173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**6\/360 + g**5\/30 - g**4\/12 + 3*g. Let l(c) be the third derivative of o(c). Determine l(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18792.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -5696\/8001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407831 is divided by 80.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 131 - 159 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -2. Let f = 7\/53 + 57\/371. Are f and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 8 (b) 0.09 (c) 2 (d) 6\/7 (e) 739 (f) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10142330 (base 7) to base 16.\nAnswer: -cfb78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67289368*a*v**2 - 260239131*a wrt v?\nAnswer: 134578736*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2775)\/3330*2*1.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -572c (base 14) in base 12?\nAnswer: -8910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6 + 24)*(-4*q**4 + 4*q**4 - 7*q**4).\nAnswer: -98*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w - 2*w)*(2*w + w + w) - 558 + 558 - 121*w**2.\nAnswer: -117*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 11.7.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 3:35 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 18 = -4*z + 2*r, 0 = r + 5. Suppose -4*q + 3*q + 91002 = -z*x, 5*q = x + 455001. What is q rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2584)\/(-833))\/19)\/(((-12)\/(-4))\/21).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -7\/6*p**3 + 0*p - 1\/24*p**4 + 1\/120*p**6 + 0 + 1\/12*p**5 - p**2. Let n(c) = -c + 4. Let b be n(9). Calculate r(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 43072272?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -468, 21, -5, 470 in ascending order.\nAnswer: -468, -5, 21, 470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*u**2 + 511*u + 80*u**2 + 87*u**2.\nAnswer: -u**2 + 511*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230174 is divided by 279.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1513823.\nAnswer: -1\/1513823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k - 3 - 4 + 7 + 5 - k**2. List the prime factors of m(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 928 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, i: 11}. What is prob of sequence gii?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -60*g**2. Let i(z) = 596*z. Calculate l(i(p)).\nAnswer: -21312960*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 12, -5*j - 57 = -v - 0*v. Let b(c) = c**3 + c + 1. Let f(d) = 15*d**3 + 12*d + 12. Determine j*b(t) + f(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2502*-4358.\nAnswer: 10903716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 2, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, w: 2, m: 1, b: 1, e: 1, v: 1}. What is prob of sequence veb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/(-26))\/(5\/30)*2\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 17*y**2 + y + 4. Let o(m) = m**2 + m - 1. Let p(n) = -4*o(n) - w(n). Find the second derivative of p(c) wrt c.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 853*f**2 - 39*f + 345. Is j(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - a + 1. Let j be l(1). Let d(x) be the first derivative of 0*x**2 - 22 + 10\/3*x**3 + x. What is d(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 78 = -5*n, -5*g + 108 = -2*n + n. Let s be 4 + 7\/(g\/(-15)). Let u be 0 + (7 - 4) + s. Solve 3*y + u = 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 4)*(-45)\/3. Let d = -42 - n. Solve 2*z - 2 = -y, 0 = 5*y + 4*z - 1 + d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-508 + 25*u**2 + 508)*((-12 + 12 + 7*u)*(-3*u + 1 - 1) + 2*u**2 - 3*u**2 + 3*u**2 + (2*u**2 - 7*u**2 + u**2)*(-1 + 4 - 2)).\nAnswer: -575*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -7*m**4\/24 + 2*m**2. Let h(v) be the second derivative of v**4\/12 + 5*v. What is s(h(n))?\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26330?\nAnswer: 2, 5, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225037, -225018, -224999, -224980, -224961?\nAnswer: -224942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i + i + 5*i)*((-3 + 4 - 3)*(-19 - 1 + 5) + (2 + 1 - 5)*(4 - 3 + 1)) to the form m + x*i and give x.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(2\/23))\/r*r)\/(r\/r**(-5\/4))*(r**1\/r)**(-1\/4) assuming r is positive.\nAnswer: r**(-123\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + 44 + (-1 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69404 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58.22 + 1.22. Let c = i - -57.104. Let s = -0.103363 + c. Round s to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43374 times -0.4?\nAnswer: 17349.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from gmmmgmgm.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0 + 2\/315*t**5 + 32*t**2 + 0*t**3 - 1\/1260*t**6 + 0*t - 1\/63*t**4. Solve h(w) = 0 for w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*l + 38*l + 42*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 8\/(-2)*11\/22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*s - 130*s + 2875 = -308*s for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 5 in increasing order.\nAnswer: -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4. Suppose -3 = 5*r + 4*v - 6*v, r = 4*v - 15. Let s(o) = -2*o - 40. Let n(d) = r*s(d) - 10*i(d). Let q(k) = 3*k**2 - 9. Determine n(q(u)).\nAnswer: -6*u**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8.7, -2\/13, 47, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, l: 2, o: 7}. What is prob of sequence lq?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1009043, 2018088, 3027133?\n\"Answer: 1009045*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17787200 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 15) in base 2?\nAnswer: -110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6481.\nAnswer: 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/4)\/l)**(-11\/3))**(-45)\/((l**0\/l*l*l)**(-2\/3)*l**(-2\/3)\/l**5) assuming l is positive.\nAnswer: l**(571\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59110.\nAnswer: 2, 5, 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*b + 292*b + 1161*b + 1320*b - 145*b.\nAnswer: 2482*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2*x - 10778, 2*z + 39*x - 10781 = 40*x. Does 49 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**(-1\/5)\/h)\/h))\/h)**48*h**(2\/21)*h\/((h*h*h**(2\/9)*h)\/h) assuming h is positive.\nAnswer: h**(32909\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 6*n = 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.946 rounded to one dp?\nAnswer: -31.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 758691192?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b**2 + 24*b - 4. Calculate g(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b = -18*b + z - 37, 5*z = -b - 7. Suppose -13 = 5*o - b. Put o, -88, -5 in increasing order.\nAnswer: -88, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 396124066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**2 + 2*m - 8. Let j(x) = 7*x**2 - 3*x + 9. Let v(c) = 2*j(c) + 3*u(c). Find the first derivative of v(h) wrt h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + 33. Suppose -o = -4*v - n + 7, -4*n + 8 = 4*v. Let i = 114\/13 - 1000\/117. Which is the closest to -3? (a) 4\/7 (b) v (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11983\/6963 + 4\/633. Let q = -3998200820101\/147610167 + -44\/8682951. Let n = 27085 + q. What is the common denominator of z and n?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/7, -1262\/9, -0.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/56259 and -46\/3688983.\nAnswer: 25822881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 10875488.18 to the nearest one thousand.\nAnswer: 10875000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 918.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 20*i**2 - 23*i + 19. Give v(21).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154668 = 2511*s + 2670*s + 384039 + 112575 for s.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -142, -303, -612, -1117, -1866, -2907, -4288?\nAnswer: -6057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 912?\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -r - 1, r + 2*w = -5 + 1. Let u be r*-9*(-2)\/4. Let c = -4 - u. What is the remainder when c is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/2 - (-1)\/((-4)\/(-28)). Solve -i = a - 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.539 + -0.5386548. Round n to five decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 15. Let y = n - 7. Suppose -5*l - 13 = -2*l + y*p, -5*l + 5*p - 5 = 0. Which is the biggest value? (a) l (b) -5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5998 is divided by 866.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/2)*x\/x**(2\/5)*x\/(x**(-8)\/x)*x**(-9))\/((x**(2\/5))**(-42)*x*x**0\/x*x**(-8)\/x) assuming x is positive.\nAnswer: x**(289\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2008\/4495 or -1?\nAnswer: 2008\/4495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3*j + 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8073914 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5 - 2. Let r(u) = -122*u**2 - 1. Let i be r(c). Is i\/(-4) + 1\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 7:16 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 129222*m + 2067555. What is q(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/32283450 and -37\/1674?\nAnswer: 3002360850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v + 6904 = -6*v + 7058. Let x(b) = b**2 + b - 46. Give x(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 247.2384 + -247. Let c = k + -0.4203. Let t = c - -0.19. What is t rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from ccy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 24*h - 18. Let t be y(-13). Calculate the highest common factor of 24 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.50695 years to decades.\nAnswer: 4.450695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*r = 10 - 31, 4*m - 4*r - 24 = 0. Put -16, 4, m, 5 in ascending order.\nAnswer: -16, m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (1 + -4 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2351421 (base 7) to base 14\nAnswer: -7a9b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-9)\/336)\/((-1)\/44) and (-1)\/((60\/(-207))\/(-5)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 42*w - 413. Let p be z(-26). Solve -2*s = p*h + 4, 0 = -s - 2*h - h - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000422563 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 28 = 2*j, r - 5*j - 43 = -2*r. Suppose 3 = -3*x, -r*x + 3*x - 13 = -5*s. Let m(z) = -z**3 + 2*z - 2. Calculate m(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 87545179922*l**2\/5 - 5858132*l\/5 + 98\/5 = 0?\nAnswer: 7\/209219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*k - 132*k = 63 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -4243518 and -4243520 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 570\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 115421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 379489 to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 9*t**2 - 10*t + 2. Let y be i(-10). Let b be y\/(-8) - (-9)\/(-12). Sort 5, 3, b in increasing order.\nAnswer: b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -225\/8, 0.1, -27\/8 in decreasing order.\nAnswer: 1, 0.1, -27\/8, -225\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.12 + 1.12. Let i be 6\/(-3) + -2 - -1. Which is the closest to d? (a) 0 (b) i (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.08619331 to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -250 + 449. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -11. Suppose -i*o + o = -4. Suppose -o + 2 = -n. Which is greater: n or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11506\/7155 or 3?\nAnswer: 11506\/7155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p - 3*p - 4*p**2 + 11*p**2 + p wrt p?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 - -0.6. Let t = p + -1.8. Which is greater: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1245 = -22*k - 61*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 4. Let k(v) = v - 3. Let i(q) = -4*k(q) + 3*t(q). Let h(u) = -14*u**2. Determine h(i(m)).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4 = l, 0 = -4*n - 5*l + 37. Suppose -25 + 20 = -5*a. What is the derivative of -n - 5*p - p - p + a wrt p?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1546958.\nAnswer: 2, 7, 47, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21700 and 92.\nAnswer: 499100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhhjdjb. What is prob of sequence hj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, k: 1, y: 2, n: 2, b: 2, a: 5}. Give prob of sequence ynua.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 6157200?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = c + 2*p + 3, 0 = 2*p - 8. Suppose -c*b + 0*b = -10. Is 2\/b - (-26 - 3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -437\/5107617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 y when four letters picked without replacement from yyoyyoyooyoo.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/144 and -49\/20?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 - 1. Let n(s) = -11*s**2 - 3*s + 30. Determine n(o) + 6*u(o).\nAnswer: 13*o**2 - 3*o + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**2 + 5116*m - 30724. Calculate l(6).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23360627?\nAnswer: 4027, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/269 less than 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28008601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6033 - 6030. What is the biggest value in c, -1\/5, -3, 0.095, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 30, -0.3, 5.\nAnswer: -0.3, 5, 30, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*a, -46*r = -51*r - a + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyyyrrrrn. Give prob of picking 3 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*(4 + (sqrt(7) + 2 - sqrt(7))) + ((sqrt(896) - ((sqrt(896) + sqrt(896)*2 + sqrt(896) + sqrt(896) - sqrt(896)) + sqrt(896))) + sqrt(896))\/sqrt(2)).\nAnswer: -24*sqrt(7) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/(c**(-1)*c))\/c))**41*(c\/(c**2*c))**(-2\/65) assuming c is positive.\nAnswer: c**(2669\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*(q**(1\/14)\/q)\/q)*q)**(-13)\/((q\/(q*q**(-4)*q))\/(q\/(q*q*q\/(q**30*q)*q))))**(-1\/25) assuming q is positive.\nAnswer: q**(73\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 84 - 108 = 0. What is the common denominator of 11\/32 and 8\/16 - (-134)\/q?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 11*p + 2*u + 26, 2*p = 4*u + 28. Suppose -2*g - 4*m + 38 = 0, -70 = -3*g - p*m - 11. Solve b = -4*z + 18 - 3, 2*z = -5*b + g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35.3976 - -0.3736. Let n = d + 0.024. Let a = -34.9941 - n. What is a rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 10*g**2 + 11*g + 25. Let p be z(-9). Let a(s) = 114*s + 13. What is the hundreds digit of a(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4 - (-50)\/15)*(-4 - -5). Let u(y) be the second derivative of 0*y**2 + 4*y + g*y**3 + 5\/3*y**4 + 0. Find the second derivative of u(z) wrt z.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 317*i**2 - 5939*i - 30475. What is p(335)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a week in hours?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let v = 36 - 21. Let x = v - 12. Let c(y) = x*y - 7*y - 2*y. Determine c(w(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*h**4 + 14*h**3 + 11*h**2 - 25*h - 8885570 wrt h.\nAnswer: 108*h**3 + 42*h**2 + 22*h - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39920831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v - 5. Let d(k) = 2*k + 3. Let a = 4 - 8. Let j(q) = a*l(q) - 7*d(q). Let h be j(-2). What is the highest common factor of 33 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7*h**2 - 39*h - 6. Let b(v) = 20*v**2 + 116*v + 17. Calculate -6*b(r) - 17*f(r).\nAnswer: -r**2 - 33*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200515630 and 1316.\nAnswer: 401031260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y + 1. Is 1 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*z - 21 = -7, 6 = -3*z. Suppose 15 = -4*q - q - 3*b, 4*b = -o*q - 20. Let y = 9 - -7. Solve -5*t + 4 + y = q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1266?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1027, -2118, -3943, -6502, -9795?\nAnswer: -13822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 74741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -s - 0*s - 20, s - 4 = 0. Let v = -12 - w. Suppose v*c + 5*c = -2*x + 18, x - 15 = -4*c. Solve 3*r = -d - 17, -3*d - d = c*r + 28 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 + 5*n**2 - 5*n**2 - n**2. Let g(q) = q**2 + 122*q - 122*q. Calculate j(g(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5\/3 - 4948*l**4 + 36753682*l**3\/3 - 10143866832*l**2 + 60337881216*l + 70494004224 = 0. Calculate l.\nAnswer: -1, 7, 2472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvf when four letters picked without replacement from {f: 1, l: 6, v: 10}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 4*d**2 + 2*d. Suppose 65*j - 4 = 69*j. Let l(p) = -p**3 - p**2. Calculate j*n(k) + 5*l(k).\nAnswer: -6*k**3 - k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4, 109, 5.\nAnswer: -4, 5, 14, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -33. Solve -x - y*c - 30 = 0, 2*x = -0*x - 4*c - 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 770 and 110.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 611, -3, 1\/6, 2\/11, 449?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13132235 (base 6) in base 3?\nAnswer: -210221201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 771*u + 365*u - 349*u.\nAnswer: 787*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13766248081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p + 3*c + 34 = 0, 66 = -3*p + 3*c. Let u = p + 28. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61831 to the power of 1\/2, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2172367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - (-9 + -2)) + -1 + -3. Suppose -2*m = -i - 12, -6*i - 5*m + 19 = -3*i. Let l = i + 3. Sort l, o, -1, 3.\nAnswer: -1, l, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (26\/(-117) - (-8)\/(-45))*(-510)\/136. Suppose -3*m - 2*m - 50 = 0. What is the nearest to -2\/7 in -3, m, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1536 and 1728?\nAnswer: 13824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-56))\/(2\/(-14))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*j - 231 = 0, 0 = 4*q - 6*q + 3*j + 159. Let g = 0.4 - 0. Which is the closest to 0.1? (a) q (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 214 - 212. What is the smallest value in -5, -0.8, 1\/2, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -142938 >= -142938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/232 and 28\/6525.\nAnswer: 52200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2878536 to the power of 1\/2, to the nearest integer?\nAnswer: 1697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -65, -602, -2063, -4910, -9605?\n\"Answer: -77*i**3 + 2*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -z - 4*b, -2*b = 2*z + 3*b - 19. Let s be (-6)\/(-4) + (-6)\/z. Let t(k) = 170*k**2 + k - 2. Is 39 a factor of t(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17 - 6*v + 8*v + 5*v + 4*v wrt v.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -33, -54, -77, -102?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**8\/392 - 2*d**7\/147 - d**6\/70 + 4*d**5\/35 + 11*d**4\/84 - 2*d**3\/7 - 4*d**2 - 16*d. Suppose x(g) = 0. Calculate g.\nAnswer: -1, 1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 18. Let t(u) = -u**3 - 4*u**2 + 3*u - 7. Let g be t(w). Is 0 + 139\/3*g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (290242\/(-14))\/((-214)\/1498) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2.01. Let z = b + 0.41. Let w = 1\/68 + -71\/204. What is the closest to -1 in -0.5, z, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 35 = -5*y, 5*y + 25 = -0*y - 4*q. Let r = 13 + y. Suppose 0 = 3*a + c + 9 - 47, 2*c - 37 = -3*a. Calculate the remainder when a is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 23 = -19. Suppose 0 = -y*x + 31 + 29. Put -4, x, 0 in ascending order.\nAnswer: -4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -334751346.89 and 0.37?\nAnswer: 334751347.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 162677\/7 + (-4)\/7. Let d = f - 71637. Is (d\/(-21))\/((-8)\/(-3) + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*d + 7 - 3, 0 = -3*w - 4*d + 1. Let f(a) = 12*a - a**w - 23*a + 4*a + 10*a. Let z = 3 + -6. Determine f(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 * -0.06.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/52 and 87\/5902?\nAnswer: 11804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -74 + -125208?\nAnswer: -125281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50892 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 - 103 - (-88 - -42).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 13*h + 30 = 0. Solve -h*i = -7 - 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-230)\/(3\/(-5)*(-2)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unusu. What is prob of sequence sus?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*(sqrt(187) - 6*(sqrt(187)*-2 - sqrt(187))))\/(sqrt(1584) - -6*sqrt(1584)*-1))**2.\nAnswer: 6137\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13498897 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(75) - sqrt(75))**2 + sqrt(75) - (sqrt(75) - (sqrt(75) - ((sqrt(75) + 0 + sqrt(75) - sqrt(75)) + 5)**2)).\nAnswer: -84 - 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 183553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from gxggxggggggxxg?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/157 + -2192\/471. Let q = p + 5. Solve q*d**3 - 1\/3*d + 1\/3 - 1\/3*d**2 = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26699 greater than 26695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v. Let y(g) be the second derivative of 11*g**3\/2 - 28*g. Calculate o(y(h)).\nAnswer: -66*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004183 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5990282994678+5\nAnswer: -5990282994673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 5 (c) -1 (d) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**4 - u**4 + 0*u**4 + (-5*u + 4*u + 3*u)*(3*u + u - u)*(297*u**2 + 17257 - 17257).\nAnswer: 1785*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k - k - 4*k - 2 + 1 - 2*k**2 in the form y*k**2 + d*k + n and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 12*d + 3. Let r(c) = -13*c - 1. Let k(j) = h(j) + 2*r(j). Let o(i) = -15*i + 1. What is -6*k(x) + 7*o(x)?\nAnswer: -21*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 109839 divided by -2337?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 85836\/(-4976)*(4\/((-108)\/39) + 1)?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16601 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 8*g - 5*g. Let w(x) = -x - 6. Let z be w(-6). Suppose z*d + g = 2*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11666*-8.\nAnswer: 93328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.3, -6716, -111.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98 and 16?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2030 (base 11) to base 3\nAnswer: 10200211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 - -42. Let k = a - -27. Let q = 16.999969 + k. Round q to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 times -397919.8\nAnswer: 13927193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2410*z - 211 + 338 + 2146*z - 127)*(6 - 4 + 0).\nAnswer: 9112*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, -19, -0.5, 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -4 (c) -1 (d) -569 (e) 0.3 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*k - 2 + 10 = 0, -t - 16 = -4*k. Suppose t = 3*v + 5*v - 72. What is the remainder when 14 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 884104 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212 - -1122102012020?\nAnswer: 1122102020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -8*i - 1\/6*i**3 - 1\/12*i**4 + 0 + i**2. Suppose g(o) = 0. Calculate o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113\/18 - -52\/9. Let z = 34\/15 - 5\/3. Which is the closest to -2\/9? (a) 1\/6 (b) t (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (-16 - -17 - -5) - -6?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/500)\/(((-1224)\/21420)\/(1\/21))\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*(a*a\/(a**2\/a))\/a*a*a)\/a)**(4\/3)*a**(-20)*a**21)**(-8\/9) assuming a is positive.\nAnswer: a**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/21638 and 41\/136.\nAnswer: 1471384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w + 8. Suppose -13 = -x + 3*p, -2*p = 3*x + 3*p + w. What is s in s**5 + 10*s**2 + s**3 - 12*s**2 + 4*s**3 - x*s**4 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-12)*2\/(-4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y. Suppose -d - 10 = 4*d. Let q(z) = 6*z + 1. What is d*s(n) + q(n)?\nAnswer: 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 112221022011 (base 3) in base 9?\nAnswer: 487264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p. Let h(f) = 15*f**2 - 11*f. Calculate h(j(k)).\nAnswer: 135*k**2 + 33*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 12 = -2*o, s - 10849 + 10816 = -4*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5*(-69 + -1). Suppose 0 = 2*m + 2*q + z, 5*q - 1 = -m - 15. Let f = 20 + m. What is the greatest common divisor of 12 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 0.3. Let x = -2\/1041 - -4286\/63501. Let f = x - -208\/549. Which is the biggest value? (a) -1\/2 (b) g (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -4*q - 21. Suppose q = 8*c - 3*c. Suppose 0*n = -c*n + 25. What is the greatest common divisor of n and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 7\/(252\/1071352) + (114\/27 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000043596 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*h - 1 - 6 - 81*h + 15 in the form g*h + d and give g.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d + 21. What is the units digit of i(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 496*o**2 + 145*o - 16. What are the prime factors of i(5)?\nAnswer: 13109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -350*s**2 - 1472*s - 3. What is the first derivative of u(j) wrt j?\nAnswer: -700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -826 - -1385. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 19. Let b(z) = z**2 - 671*z + 4010. Let s be b(6). Give p(s).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10981.35 - -10228. Let n = -684 - h. Let z = -68 + n. What is z rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 6*i**2 + 7*i - 15. What are the prime factors of s(7)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6*z + 113 = -3*z, 4*x - 232 = -4*z. Suppose 64*p - x*p = 18. What is the least common multiple of 40 and p?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/378 and 53\/7174824?\nAnswer: 452013912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*i - 68*i + 167 + 267 + 145*i to the form j + l*i and give j.\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-30)\/(-14) - (-39 + 38)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 48\/(3 + 0) + -1. Suppose -10*i + 7*i = -z. Factor 0*t - 8\/7*t**4 - 6\/7*t**i + 4\/7*t**2 + 0 + 2\/7*t**3.\nAnswer: -2*t**2*(t + 1)**2*(3*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9 - 297\/36)\/(6\/16). Suppose 21*q**3 - 40*q**3 + 24*q**3 + 62*q - 90*q**u + 23*q = 0. What is q?\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 9*y**2 - 2*y - 34. Let n be q(-7). Let c be (-143)\/n*(-2)\/22. Let 2\/3*h - c*h**4 + 2\/3*h**2 + 1\/3*h**5 - 3\/2*h**3 + 0 = 0. What is h?\nAnswer: -2, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*t + 45 - 185 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(504) - sqrt(504))\/sqrt(8))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 1)*(-6*z**3 + z**3 - 4*z**3 + (1 - 6 + 3)*(-2 + 2*z**3 + 2)).\nAnswer: 52*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/((-6)\/(-45)*-3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x - 3 - 13*x + 5. Let v be u(1). Let a(c) = -243*c**2 + 4*c - 5. Let n be a(v). What is n rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4279*o = 4282*o + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.468 times 54646?\nAnswer: 25574.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*r + 40*r + 41*r + 83*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 40\/(-12))\/((-4)\/(-18))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -6. Let n = v - -6.2. What is the second smallest value in -4\/3, 1\/9, n?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c - 3*r + 60, 4*r + 56 = -4*c. Let x = 42 + c. What is the remainder when (-2 + x)\/(2\/2) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 461 - 243. Suppose -5*q - 17 + k = 2*x, -342 = -4*x + 2*q. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/25 of a tonne?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 54*f - 212. Let t be w(4). Let s(z) be the first derivative of -5\/2*z**2 - 15\/4*z**t + 10 + 0*z + z**5 + 5*z**3. Factor s(p).\nAnswer: 5*p*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -166199281 at most -166199278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1680)\/(-588) + 16\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 8, 5*i - 381 - 385 = -2*q - 780 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 5. Suppose -3*f = -d + 7. Let c = 7 + -7. What is the closest to c in f, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 0*t**2 + 1\/24*t**5 - 3 + 0*t + 0*t**4 + 4\/3*t**3. Let m(l) be the third derivative of h(l). Let g(p) = p. What is m(g(j))?\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233 = 101*b - 778 + 203 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 1:03 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -68 (b) -5\/3 (c) 0.227 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2976905580 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1096, -2200, -3300, -4390, -5464, -6516, -7540, -8530?\nAnswer: -9480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -119*j - 1346. Determine p(-11).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/4 and 33\/1594?\nAnswer: 3188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3) + (-244)\/(-6). Suppose y - 2 = 0, f = 5*f + 4*y + 92. Let b = k + f. Calculate the highest common divisor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 12*n**2 + 44*n + 19. What is m(5)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 598807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l + 104. Let z(v) = 10*v. What is u(z(h))?\nAnswer: 30*h + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - -2) + 0 - (-47)\/(-9). Which is the closest to 201? (a) -3 (b) d (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44552336?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxffxvxfffxvxff. What is prob of sequence ff?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -7)*(0 + 1). Suppose 14 = m*h - 4*t, -3*h + 7*h - 40 = -4*t. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 8\/4)*1. Suppose -x*d + 6*c - 7102 = 4*c, 2*d + 4*c = -4708. Is -2 - d\/4 - -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 7:35 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + h - h**3 + h + 0*h - 3*h to the form z*h**2 + q*h + w + y*h**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v + 6. Let o = 0 - v. Let a = -93.3 + 93. What is the second smallest value in 0.3, o, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**6\/21 + 2*a**5\/35 - a**4\/14 - 2*a**3\/21 + 11. Factor r(h).\nAnswer: 2*h**2*(h - 1)*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 193517994*z**2 + 316808957?\nAnswer: 387035988*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*g**4 + 106014*g*j**2 - 156*j**2 + 2*j + 105 with respect to g.\nAnswer: -52*g**3 + 106014*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q + o - 19, q + 4*o - 16 = 0. Suppose 32 - 8 = q*h. What is the remainder when h is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4300800003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8997 or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1296 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/289 - -313\/6936. Let f(u) be the third derivative of -2*u**2 + 1\/60*u**5 + 0*u + 0 + 0*u**3 + z*u**4. What is y in f(y) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2403480 divided by -27?\nAnswer: -801160\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -63*w**2\/5 - 762*w\/5 - 72\/5 = 0.\nAnswer: -12, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/(-21) - (-4)\/(-14). Let w = 0.5 - -4.5. Which is the third smallest value? (a) -3 (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-372)\/(-46) + (-254)\/2921. Solve 5*v + m - 2 = 2*h, -v - 6 = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*g - 595*g - 124*g - 657*g.\nAnswer: -1149*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 312.813 kilograms?\nAnswer: 312813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -104, 5, -26, -0.432, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f**2 - 2152*f + 24. Let h(x) = 17*x**2 - 6455*x + 66. Determine -4*h(o) + 11*r(o).\nAnswer: -2*o**2 + 2148*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 961 + 1091. Calculate the smallest common multiple of n and 570.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -8. Let q be (1 - -1)\/(m\/8). Suppose -40 = -g + o, -100 = q*g - 7*g - o. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 816\/7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 777387029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93705 is divided by 46852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2205*z - 775 = 2200*z. What is the remainder when z is divided by 87?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t - 6*t. Suppose t = m - 2*m. Is 1\/3 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2)*n)**(-1\/2)\/((n\/(n**2*n))\/n*((n*n**(4\/9)\/n*n)\/n)\/n)*(((n**(-5)*n)\/n)\/(n*n**(-4)\/n))**(3\/14) assuming n is positive.\nAnswer: n**(653\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7609 and -1.8.\nAnswer: -13696.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 188564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*k + 10*k + 9*k + 13*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from {k: 1, d: 1, e: 8, v: 8}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/5584 and 95\/158.\nAnswer: 441136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 253260 and 1005?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-3) + (-36)\/54. Let z = 1 - h. Suppose j - 21 = 24. What is the highest common divisor of j and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*r**2 + 1)*(1 - 1 + 2) - 3*r**2 + 6*r**2 - 2*r**2 - r + r + 4*r**2 + (4*r - 3*r - 3*r)*(2*r + 0*r - r).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17404 and 2?\nAnswer: 17404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2599 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8674*i + 1879*i - 11655*i.\nAnswer: -18450*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.093 minus 561.7663526?\nAnswer: -569.8593526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17412 and 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8676 = -309*h + 318*h. What are the prime factors of h?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1669.\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 5) in base 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3474, 6954, 10446, 13956, 17490, 21054, 24654?\n\"Answer: b**3 + 3473*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 - 521509*i + 8344080.\nAnswer: (i - 2086020)*(i - 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 141071 >= 140956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 65 = 0, -2*s - 2*z - 4 = s + 18 + 2 + 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000019702 to seven dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 10*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-92)\/368 - (-38)\/(-840)) + (-2)\/(-21). Which is the second smallest value? (a) g (b) -1\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 5065 = -4489 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 391484*x - 5871360.\nAnswer: -4*(x + 15)*(x + 97856)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 29. Let t be u(0). Let q = -697 - -2129\/3. Find the common denominator of q and (t\/6)\/((-10)\/(-18)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2187*w - 5832. Let c(u) = 2*u - 4. What is 1458*c(x) - n(x)?\nAnswer: 729*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44, 91, 136, 179, 220?\n\"Answer: -k**2 + 50*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 5*x + 3. Solve -l - 5 = -x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31866\/(-36))\/47 + (-10)\/(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55917, 447492, 1510345, 3580116, 6992445, 12082972?\nAnswer: 19187337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8b5238 (base 12) in base 5?\nAnswer: -1032241344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 2:45 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006827665 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -9*x**2 + 12 + 2*x**3 - x**3 - 2*x**3 - 13*x. Let i(t) = 97*t - 7. Let b be i(0). Let p be f(b). Solve -n - 3*g = n - 2, -p*g = -4*n + 26 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3)*-2*2 - -2*sqrt(121)\/(sqrt(22)\/sqrt(2)) - (sqrt(176) + 3*(sqrt(176) + sqrt(176)*1 + sqrt(176)) + -1)*2)**2.\nAnswer: -328*sqrt(11) + 73968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1815846 and 762.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105 - -67.1. Let z = y - -6.9. What is the nearest to 0 in z, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -5, -152, -338, 0?\nAnswer: -338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 342573*k**2 - 3*k + 18350 wrt k.\nAnswer: 685146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2314 and 4.\nAnswer: 4628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**3 - 2*p**3 + 2*p**3)*(3 - 4 + 0 + 4 - 5 + 0 - 4 - 1 + 3 + (0 - 1 - 1)*(3 - 3 + 1) + 1 - 3 + 1 + 5 - 1 - 2).\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 23*s - 126. Calculate d(25).\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3. Let l(g) = g - 31. Let p be l(33). Let f(k) = -5*k**3. Determine p*f(y) + 11*a(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 55*y + 1592. Let s be j(0). What is the highest common divisor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/6 and -36\/463?\nAnswer: 2778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/111192 and -15?\nAnswer: 111192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 11:02 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 179343?\nAnswer: 179342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -9324630122.849\nAnswer: 9324630118.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 1\/3, -2\/7, 34.6, -0.3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5916)\/(-22620)*130 + 202\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhphahhhhhhhthh. Give prob of sequence hh.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/72 and 139\/4588272.\nAnswer: 4588272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 2*d**2 + 1\/12*d**4 - 1\/3*d**3 + 0*d + 0. Is q(6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -216151 (base 8) to base 11.\nAnswer: -4a780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3 - 1 - 6*s**2 + 5*s - 1. Let f(u) = -3*u**2 + 2*u - 2. Let w(x) = 5*f(x) - 2*r(x). Let p(t) = -2*t - 5 + 5. Give p(w(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/(-87)*((-1)\/(-1))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 314 + (217 - 401) - (-1 + -1 + 16).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by ((-1566)\/189)\/((-6)\/63).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(10\/14) - 4. Let x(r) = y*r - 2*r - 6 + 5. What is the remainder when 3 is divided by x(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 4:08 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-49559984)\/(-120)*3 + (-6)\/(-15). What is a rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*v + 2952 = 96*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(21)\/(sqrt(3) - (sqrt(3)*-2 - sqrt(3) - sqrt(3))) + 4.\nAnswer: 6*sqrt(7)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 8 + 7. Suppose 52 = x*t - 5*z, 2*t + t + 3*z = 12. Suppose 126 = 4*m - 3*v + v, t = 3*v. What is the greatest common divisor of 165 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12231045 is divided by 1336?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14123757.3 minus -129539?\nAnswer: -13994218.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*g + 21*g + 69. Let y = g - -16. Suppose -2*f + 24 = -3*f + 5*v, 20 = 5*v. Which is smaller: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -171*i + 175*i + 62 + 63 to w + k*i and give w.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9*d + 6. Let y(k) = -27*k + 293. Let b be y(11). Let r(z) = 8*z + 5. Let w(v) = b*r(v) + 3*j(v). Give w(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190578 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101 by 87.\nAnswer: -101\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 l when four letters picked without replacement from llaojoljlloj.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 6*r**2 + 9*r - 14. Calculate b(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -231410344*i*p**2 + 645707*p**2 + 3*p - 1 with respect to i.\nAnswer: -231410344*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.87 + 0.44. Let t = 7.3 + -5. Let f = l - t. Sort 1\/2, -0.1, f.\nAnswer: -0.1, f, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - 0. Let u be 2 - (3\/q)\/(-1). Is 2 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*x, 3*c + 1424*x + 24 = 1420*x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.209 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 greater than 3792\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 385708, 771420, 1157134, 1542850, 1928568?\n\"Answer: k**2 + 385709*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(68)*4.\nAnswer: 1 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 468?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 16 = 3*y. Let o = y - 40. Is -31 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -137477 at least as big as -137373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-109 - 674 - 200 - 201)*(-2*d - 2 + 2) as v + h*d and give h.\nAnswer: 2368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/35)\/(3\/10*(-5)\/240)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427 + 460 = -11*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72 + 328. Let q = k - 257.87. Round q to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 77*w + 75*w + 182.\nAnswer: -2*w + 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5d5c (base 14) to base 4\nAnswer: -3333132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*y - 4*y. Let d be 5*(-2)\/(-5) - -1. Suppose d*i = 7*i + y. Is 0 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46246.66 to the nearest 100.\nAnswer: -46200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 (base 7) in base 9?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/21 (b) -2\/3 (c) -1 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4465 a factor of 183859770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*t = -53 - 100 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*i - 14, 0 = -5*z + i - 0*i - 6. Let x = z - -3. Let r be ((-19)\/(-95))\/(1\/10). Solve n - x = -r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -107*h + 102*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 v when three letters picked without replacement from {f: 2, u: 7, v: 9}?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-7)*(-70)\/(-3280))\/(1\/(-2))\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - (-2 - -3)\/(2\/6). Solve -b = -z + 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(35)\/sqrt(5)))\/sqrt(3).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 - 2)*(-327 - 113 - 340) + 1 - 1 + 2)*(-15 + 6*h + 15) as o*h + q and give o.\nAnswer: 4692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(2736))**2 - (sqrt(2736) + -1 + sqrt(2736) + (sqrt(2736) - (-1 + sqrt(2736)) - sqrt(2736))) - -1*((1*sqrt(2736) - sqrt(2736)) + 2)**2.\nAnswer: -60*sqrt(19) + 2744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3358214 centuries in decades?\nAnswer: 3.358214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-144)*(-4)\/33. Is -1 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 + 6*a - 11. Calculate v(6).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -541 divided by -23?\nAnswer: 541\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/3)\/((((c\/(c\/((c*c**4)\/c)))\/c)\/c)\/c) assuming c is positive.\nAnswer: c**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11320459*h - 189510.\nAnswer: 11320459","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*u + 6 - 21 + 8 + 11 to the form m*u + f and give m.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(3) + (sqrt(192) - (0 + sqrt(192))))**2 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 36*x - 96*x**4 - 8*x**5 - 27691*x**3 + 104*x**2 + 27707*x**3 - 44*x**5 - 8 = 0.\nAnswer: -1, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooxxxxoxo. What is prob of sequence xxo?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -10. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5405 is divided by 288?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -513779 and -513769 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**6\/45 + 127*h**5\/30 - h**4\/6 - 379*h**3\/9 + 254*h**2\/3 - h - 1180. Find f such that l(f) = 0.\nAnswer: -127, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -15. Let q = -7.7 - l. What is q rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p**(2\/11)*p)\/p)\/p*p)\/((p*p**0*p)\/p*p)*(p**(1\/4))**(4\/15) assuming p is positive.\nAnswer: p**(41\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 890\/(-55)) + (-44)\/242\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/392 and -97\/882.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 36. What is the highest common factor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**2 - 87628*f - 24130752 = 0. What is f?\nAnswer: -272, 22179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 1. Give p(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15547999?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433519939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23334 - 12343. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 275367240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w**2 + 6*w + 8. Let z(k) = 8*k**2 + 11*k + 7*k**2 + 15 + 0*k**2. Calculate -11*d(i) + 6*z(i).\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 9229.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 - 29*w - 10. Let i be y(-14). Suppose 5*s + 13 = -3*j, -1 = 3*j - i*j + s. Let o be 4\/14*1\/13. Do j and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84896 < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 3. Suppose 4 = 3*z - 8. Give k(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -1\/6*u**3 + 0*u**4 - 1\/40*u**6 - 2*u**2 + 0 + 0*u**5 + 0*u. Find the first derivative of c(q) wrt q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/63 in 1\/2, 5\/2, 2\/25, -0.21, 5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 7002*c**2 + 295936*c - 619872.\nAnswer: -(c - 7044)*(c - 2)*(c + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, o: 1, a: 3, d: 2, m: 4}. Give prob of sequence wamw.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a gram in milligrams?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -10*f**2 + f + 10. Let l(h) = h**2 - 1. Suppose 3*d = -5*r - 95, 5*r + 135 = 2*d + 3*d. Calculate r*l(n) - 2*b(n).\nAnswer: -2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (216 - 216 + k)*(1 - 2 + 2)*(9 - 4 - 7)*(0 + 1 - 3).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-29)\/348)\/((-21)\/24))\/(1\/(-6))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 12*m**2 + 140*m + 11. Let j(z) = -3*z**2 - 28*z - 2. What is -11*j(v) - 2*o(v)?\nAnswer: 9*v**2 + 28*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 - 119. Let w = -21 - c. Let r = 9 + 2. What is the remainder when w is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513464 is divided by 212?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3072000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1325*v**2 + 1327*v**2 + 3*v**4 + 3*v - 4*v**4 + 2 as u*v**4 + b*v**2 + n*v + w + l*v**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 + -127. Suppose 118*l = 119*l - f. Let m(s) = -3 - l*s + s - 1 - 2*s. What is m(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 18 - 23*p + 27 + 15*p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1408)\/(-308) - 9*(-10)\/210?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 3513*h = -3516*h - 4, -7*h = p - 54 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d**(-1\/3)*d)*d)\/d)**(-27)\/(d**(-2\/5))**(8\/3)*((d**(-2\/5)\/d)\/((d**(-2\/11)\/d*d)\/d*d))\/(d**(-9)\/d*d**(1\/4)\/d) assuming d is positive.\nAnswer: d**(-3353\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 134.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24037, 48075, 72113?\nAnswer: 96151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4 - -2)*(-7 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100100011011 (base 2) in base 15?\nAnswer: 31b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480*b + 497 = 1937. Suppose 5\/4*k**2 + 0 - k - 1\/4*k**b = 0. Calculate k.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 3537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017815387 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3281 = -276*i + 170*i + 141*i + 3*h, -267 = -3*i - 5*h for i.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 931.\nAnswer: 9310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + w = -19, w = -3*x + 12 - 3. Solve 1 + 13 = 3*y + 5*r, x*r = 5*y + 26 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwiwebkbwbww. What is prob of picking 1 i, 1 e, and 1 g?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 36*y + 25. Calculate q(-6).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 33, -1 in descending order.\nAnswer: 67, 33, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*w + 12, 0*w + 2 = -5*o - 4*w. Sort o, -5, -4.\nAnswer: -5, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f. Let g(j) be the first derivative of -13*j**3\/3 + 5. Calculate g(l(v)).\nAnswer: -208*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03000103 + 0.03. Round j to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/(r**(-1\/5)\/r)))\/r)\/((r**(-5)*r)\/r*r))\/((r*r\/r**(2\/5))\/r**(1\/10)))**(-33) assuming r is positive.\nAnswer: r**(-99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + j = 0, -4*j + 1 = s + 4. Let w(r) be the first derivative of -s - 1\/3*r**3 - 3\/2*r**2 + 5*r. What is w(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (sqrt(200) - (4 + 0 + sqrt(200)))) + -2 + sqrt(200) + 4*sqrt(200) + sqrt(200))**2.\nAnswer: 280*sqrt(2) + 9804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 162995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*x - 133 - 70 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.5 + -38. Let x = 12.9 + g. Let s = 0.09 - 0.05. Which is the third biggest value? (a) s (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 219 = 51. Calculate the remainder when ((-56)\/(-10))\/(2\/10) is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -513*r + 199*r + 5*r - 378*r in the form t + b*r and give b.\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 25*r + 161. Let n be ((-400)\/150 + 3\/1)*-21. What is y(n)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**3 - 2*r**2 - 11*r - 10. Let p be f(-1). What is the closest to 1\/2 in 6\/11, 0.5, p, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 - a. Let z be h(-1). Let d = z - 6. Suppose d = r, -o + 273 = 2*o - 3*r. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17, -79, -183, -329, -517, -747, -1019?\n\"Answer: -21*n**2 + n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -15 - 6*l - 6*l**2 + 15 + l**3. Let z(m) be the second derivative of m**5\/20 - 5*m**4\/12 - 5*m**3\/6 - 2*m. Let c = 142 + -148. Give c*z(g) + 5*t(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 192\/6*(5 - 5\/20). Let j(l) = l - 1. Let g be j(3). Suppose 0 = 2*i + 3*i + 20, m = g*k + 3*i. Is 24 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - -14479)*(-2)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) + (3\/4 - 1). What is the nearest to 10 in 1.8, o, 0.2, 2\/9?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -492, -1795, -3970, -7035, -11008, -15907, -21750?\nAnswer: -28555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6032097038?\nAnswer: 2, 11, 41, 163109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-44)*(-4624)\/11560?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.25359 and 0.08?\nAnswer: -0.0202872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*g**3*o**5 - 927*g**3*o**3 - 60215*g**3 + 3*g**2*o wrt o.\nAnswer: 920*g**3*o**3 - 5562*g**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3429\/15 - 9\/15. Suppose 12 - j = -4*f. Suppose -30 = 2*h - 4*h + 2*r, 29 = 2*h - r. What is the remainder when f is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s - 1. Let t(y) = y**3 - 5*y**2 + y - 8. Let z(l) = l**2 + 4*l + 5. Let b be z(-4). Let k be t(b). Give q(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**23*m*(m*m\/(m\/(m**40\/m)))\/m*(m**(3\/7))**(-6) assuming m is positive.\nAnswer: m**(423\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88629*b*i*l - 7*b + 626*i wrt l.\nAnswer: 88629*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 186 and -443471.9?\nAnswer: 443657.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29043 is divided by 2158?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t + 15*t - 2*j - 83 = -12*t, 28*t + 5*j - 143 = -48 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1938*o + 36. Let c(w) = -121*w + 2. Calculate -33*c(v) + 2*q(v).\nAnswer: 117*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2. Let x(o) be the first derivative of 1 - 10\/3*o**3 + 0*o**2 + 0*o. Determine x(u(a)).\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179488?\nAnswer: 2, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 2*g, -2*m + 3*m = -4*m - 3*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from atissqaiattiat.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 6*g**2 - 4*g + 6. Suppose c = 4*c + 15. Let f be m(c). Solve -4 - f = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-503*v**3 - 5173*v + 5173*v)*(-2*v - 2*v + 2*v).\nAnswer: 1006*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*u - 7 = -7 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83200*s**2 - 22865*s + 22865*s.\nAnswer: -83200*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 18*r**2 - 4*r - 38. Let s be z(-18). What is the highest common divisor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -26000 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a**2 + 4*a**2 + 9*a**2.\nAnswer: 26*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5\/4 - 191*j**4 + 187765*j**3\/4 - 8011981*j**2\/2 + 113298640*j - 210945800 = 0.\nAnswer: 2, 65, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2277*t**5 - 3*t**4 - 93*t**3 + 1126384*t**2?\nAnswer: 136620*t**2 - 72*t - 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -13) + 3 - (-5 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**5 - 365161*f**3 + 1121983*f**2.\nAnswer: -120*f**2 - 2190966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 73, 296, 669, 1192, 1865, 2688, 3661?\n\"Answer: 75*w**2 - 2*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 5. Suppose 9 = 5*p + 54. Let j be u(p). Suppose -2*a = -2*r, 2*a + 4 + 6 = j*r. Calculate the least common multiple of 2 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (1 - (5 + -8) - -4)) + -5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txx when three letters picked without replacement from {x: 7, t: 4, f: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 - -239.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-4)*168\/(-18). Suppose 0 = 6*t - t - 15. Suppose 3*a + 4*h = 28, 2*h - 1 = a + t. Solve -2*i = 2*m - 8, c = -0*m + 2*m + a*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 69 in decreasing order.\nAnswer: 69, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 320 + -19a?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9\/12*-2*-6 and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 35. Let b be f(-8). Let z = b - -81. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5771 - -5763. Which is the fourth biggest value? (a) s (b) -0.4 (c) 0.08 (d) 0.1 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -11*f**3 + 5*f**2 + 101*f + 10. Let g(u) = -11*u**3 + 6*u**2 + 104*u + 12. What is 5*g(b) - 6*r(b)?\nAnswer: 11*b**3 - 86*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -345, -783, -1389, -2157, -3081?\nAnswer: -4155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 752 - 483. Let d = -270.33 + n. Round d to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 + 446 = z. Solve -4*f - z = 2*i, 0*f + f + 1 = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/21)\/(((-8)\/15)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16991205 divided by 385\nAnswer: -44133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 3. Let k be 166\/6 - 6\/(-18). Suppose -4*j - 3*h = -k, -5*h = 4*j - 0*h - 28. Determine r(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-16)*(-705)\/1269*12\/5. Solve 1\/6*o**2 + 1\/6*o - f*o**4 + 0 - 1\/6*o**3 = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*y)*(1 + 3 - 1) - 5*y + 4*y + 3*y + (248 + 30 + 231)*(7*y - 3*y - 3*y) to the form v + w*y and give w.\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 - 9*p**2 - 2*p + 9. What is the lowest common multiple of 10 and z(5)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + (sqrt(275) + 1 - sqrt(275))**2)*5 - (0 + sqrt(275) + 0 - sqrt(275))) + -1*(-4*(sqrt(275) + 2))**2.\nAnswer: -4459 - 295*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30303 + 220031?\nAnswer: 311000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/(g\/(g**33\/g))))*g**(2\/43)\/g)**11 assuming g is positive.\nAnswer: g**(14685\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23751 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16712 and 20.\nAnswer: 83560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -48*w**5 + 11*w**3 - 10*w + 11. Let g(x) = 16*x**5 - 4*x**3 + 3*x - 4. Let r(b) = 11*g(b) + 4*l(b). Find the second derivative of r(v) wrt v.\nAnswer: -320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5016)\/(-304)*(-6)\/9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17547 - -17545. Put 1.2, -1\/4, o, 3.3 in descending order.\nAnswer: 3.3, 1.2, -1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 54*v - 505. Calculate the smallest common multiple of 245 and y(24).\nAnswer: 10535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 377*a**2*d*v - 38*a**2*d - 3*a**2*t*v + a**2 + 4*t*v - 11*t wrt v?\nAnswer: 377*a**2*d - 3*a**2*t + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 317 + 1265 = 0. Calculate the remainder when q is divided by 32\/10*55\/11.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehh. What is prob of picking 2 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4\/5 (b) -3 (c) 5.9 (d) 7.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239996 to the power of 1\/2, to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (4 - -1) + (17 - 25).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 - 5*z - 3. Let d be x(4). Let s = 36 - d. Suppose 5*y + 4*m = s, -7*y + 3*y + 7 = 5*m. Calculate the remainder when 6 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3047712 or -3047710?\nAnswer: -3047712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 10*d + 14. Determine l(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1700.674 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154924517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 3, 1, -2\/15, 1\/10?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 244\/6*1\/(-14) + (-84 + 66)\/(-6).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84882209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**3 + 0*j**2 + j**2 - 1804*j + 1801*j - 3 to f*j**2 + m*j + w*j**3 + g and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 10) to base 15\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 26 + 16. What is the remainder when r is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -479*-69\nAnswer: 33051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 20000212?\nAnswer: 20000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 14313035?\nAnswer: -14313033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5357 or -26786\/5?\nAnswer: -5357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23191769 or -23191768?\nAnswer: -23191768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49640 and 329887.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 276?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 408495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x + 3*x**2 - 11*x + 2 - 4*x**2. Determine s(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81.44 + -135.44. Let s = -57 + 115. Let m = t + s. Put -0.12, 0.1, m in increasing order.\nAnswer: -0.12, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22022221211211 + -2020?\nAnswer: 22022221202121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44365.1 or -3?\nAnswer: -44365.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 4. Suppose -5*c + 4*m + 36 = -0*m, 3*m + 12 = 0. Calculate the least common multiple of l(c) and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n = -32*n - 132 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -7\/2, -0.3, -46, -1\/2, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81806*j**3*l**3*m**3 + 24*j**3*l**2 + 9*j**2*l**3*m - 46*j**2*l**2*m**3 - 2001*m**3 wrt j.\nAnswer: 490836*l**3*m**3 + 144*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-1 + (-2)\/4). Is z\/(-6) - (-54)\/4 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**9\/252 + p**5\/20 - p**2 + 2*p. Let s(q) be the first derivative of b(q). What is the third derivative of s(n) wrt n?\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(18)*2 + -5 - sqrt(18)))**2.\nAnswer: -120*sqrt(2) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 10*j**2 + 54*j + 119. Determine y(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10034?\nAnswer: 2, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 6*u**2 + 3*u - 5. Let r be l(2). Suppose -r = -9*o + 19. Let q = 11 + -7. Solve q*a = s - 11 - 1, o*a = -4*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40.9 in -2\/7, 5, -3\/7, -2, 5\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c = -44*c - 6. Let m(x) be the first derivative of -6*x**2 + x + 6. What is m(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -558?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, u: 1, e: 5, k: 1, h: 1}. Give prob of sequence ueh.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 12) to base 16\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 343593624251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113 + 189 = -43*a + 1237 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/61267 and 65\/812.\nAnswer: 49748804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 249 + -1740\/7. Let m = -49 + 48. Which is the nearest to -1? (a) m (b) 2\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5780500 (base 9) to base 7.\nAnswer: -35356146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01211 + -54.26789. Round x to 0 dps.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/(-3) - 8\/6. Suppose -k*c - 8 = 4. Let z(u) = -u + 2. Let g be z(12). Sort 2, -2, g, c in decreasing order.\nAnswer: 2, -2, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 divided by 59?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/35*1)\/(7\/((-35)\/(-2)))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 503110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1440 and 145215?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 27 + 3 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 - 3*q**3 + 3*q**3 - 3*q**3 - 6*q**3 + 0*q**3 + 0*q**3 - q**3 + 2*q**3 + (2*q + q - q)*(2*q**2 - 2 + 2) - q**3 + q**3 + 2*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b0 (base 16) to base 14.\nAnswer: -c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -12 + 43)\/(-36 - -39)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 314 = 1362. Let w = -185 + h. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-2)*(-1 - 3). Let b(o) = -o - 1. List the prime factors of b(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o + 16*o + 2*q - 31, 2*o = -4*q + 22. Suppose -v - i = -0*i - 25, 3*v - o*i - 67 = 0. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/((-63)\/(-35)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/192 and 139\/1008180.\nAnswer: 16130880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -631125 divided by 935?\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence my when two letters picked without replacement from {t: 2, v: 2, k: 1, m: 2, o: 1, y: 5}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 738163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbbybbbbqzqvbqbbbby. Give prob of picking 1 q and 1 y.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -977?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 767916 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86.605 + 2.995. Put -0.1, -0.3, 0.5, c in decreasing order.\nAnswer: c, 0.5, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = h - 27, -3*d + 121318*h - 121317*h + 13 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1846 divided by -71\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from {y: 4, d: 14}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t = 18. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + 4. Calculate the smallest common multiple of l and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (27126\/8220)\/(1\/(-10))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**14*p**1\/p)**(5\/6))**(2\/23) assuming p is positive.\nAnswer: p**(70\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (399*j + 1207*j + 728*j)*(11*j**4 - 13*j**4 + 11*j**4).\nAnswer: 21006*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 0 (c) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 441 and 4998.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4699 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10*f + 1. Let z be q(1). Let j be 3\/(48\/39 - 1). Suppose 0 = 5*d + 2*r - z, -3*r + j = 4*d. Solve -t - 3 = -d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*p + 66*p - 28*p - 34*p**2 as f*p + a*p**2 + q and give a.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*v + 19*v - 4*v)*(1 + 1 - 1)*(0*v - v + 2*v) in the form r*v + g*v**2 + f and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -98 at most as big as -193\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1201020 - 5?\nAnswer: 1201011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-30)*(-10 + 121\/22). Let d*f**3 - 3\/5*f - 1\/5*f**2 + 2\/5 - 1\/5*f**4 = 0. Calculate f.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-2 - -4 - -5) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/880 and 91\/613800.\nAnswer: 1227600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 584845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*p - 2*l - 11, 5*p = l + 29. Solve 0 = -j - p*f + 2 + 23, -5*j + 15 = 3*f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*a + 288 = -93, -v + 204 = 3*a. What is the remainder when v is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 442*t**2. Let a(j) = -1575486*j. Determine c(a(g)).\nAnswer: 1097113012198632*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25371, 25708, 26045?\nAnswer: 26382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -32. Suppose -63*u + 66*u = x. Suppose -u*p = -0*p - 52. Calculate the remainder when 63 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 36*p**2. Let d(w) = -48*w. What is k(d(i))?\nAnswer: 82944*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.693969 rounded to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9105*t**3 - 13*t**2 - 2*t - 182?\nAnswer: 54630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x - 1. Let o(w) = w. Let p be 15\/((-15)\/(-3)) - (7 - (-2 - -11)). Suppose -f = 3*f - 4. Let d be (-2)\/(-1 + 0 - f). Give d*m(u) + p*o(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 - 585926*g\/3 - 85827319369\/3.\nAnswer: -(g + 292963)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*3\/(-12)*-2. Let q(a) = 3*a**2 + 14 + g*a - a - 4*a**2. What is the remainder when q(0) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((5 + -1*sqrt(425) + 2 + -4)*1 + 5).\nAnswer: -15*sqrt(17) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 297.2, -0.08, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 9*r**2 + 17*r + 17. What is z(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4713976, 9427958, 14141940, 18855922, 23569904?\n\"Answer: 4713982*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxx when three letters picked without replacement from gxggrgxlrrmmlrglgrlg?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5556534 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20994\/2 - 15\/105*56. Which is smaller: m or 10490?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.84 + 5.93. Which is the smallest value? (a) -0.1 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524183936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*c + 14. Calculate the least common multiple of 30\/4*8\/6 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022960 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*v + 28*v = 715*v - 8804 - 4771 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.2 and 205.\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7982*f = 8044*f - 1550 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154\/140*(-72)\/48*8\/6.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.018 and -0.8932252?\nAnswer: 0.8752252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 51, 112, 217, 366?\n\"Answer: 22*t**2 - 5*t + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 856291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Suppose -o = r*o - 12. Suppose -3*h + 46 = o. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -2620267094.72.\nAnswer: -2620267096.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 3. Let v(z) = -2*z**2 + 4 + z**2 + 9 + 8*z. Let m be (-183)\/(-2)*(-10)\/15. Let d = 59 + m. Determine d*v(c) - 9*r(c).\nAnswer: 2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + 6*y + 11. Let a be b(4). Suppose 0 = 2*s - 4*z - 50, -2*s = -a*z + 20 - 71. What is the remainder when 78 is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 46160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Let n be -6 + x + 2\/2. Let o(z) = -2*z**2 + z + 7. Let f(b) = 4 + 3*b - 10*b**2 - 2*b + 14*b**2 - 5*b**2. Calculate n*f(r) + 3*o(r).\nAnswer: -r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -20 + i**2 + 8\/15*i**6 + 0*i + 41\/3*i**3 + 0*i**5 + 0*i**4. What is the first derivative of j(k) wrt k?\nAnswer: 192*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*f - 47*f + 2*z + 16 = 0, 0 = 2*f - 4*z + 18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4435 - -1675. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(15\/2)*(m*m*m\/(m*m*m*(m**(-20)*m)\/m)*m)\/m)\/(m**(-15)*m*m\/m**18*m))**(-44) assuming m is positive.\nAnswer: m**(-2530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f*(f\/(f**(3\/8)*f))\/f)\/f)*f**(-3\/5)*f assuming f is positive.\nAnswer: f**(111\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r - 0. Suppose -r*v - 36 = -2*f, -4*f + 95 = -v + 14. Suppose f*w - 26*w = -10. Solve -w*t = 14 - 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 32 = -q. Find the common denominator of (-166)\/(-40) + (-7)\/q and 15\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 187*j**3 + 429*j**2 + 317*j + 70.\nAnswer: (j + 1)**2*(j + 35)*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 38, 51, 64, 77?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -175 + 400. Suppose 3*f + 57 - q = 0. Suppose 4*s = -4*x + 112, -f = -4*x - 3*s + 58. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*s - 249 = -o, -4*o + 553 = 5*s. Suppose -4*j + 3*p + 740 = 0, -5*j - 3*p + 766 = -o. Is j a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2 - k + 1. Let l be q(1). Let o = 1.776 - -0.224. What is the third biggest value in l, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 12002845.\nAnswer: 1\/2400569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207*l**2 + 2*l - 6.\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence loaa when four letters picked without replacement from {x: 1, a: 6, l: 1, o: 1}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 380092?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) -2\/51 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) + 386\/60. Let w = -17\/573 - 7661\/5730. Let l = w + t. Calculate the common denominator of l and 18\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1353*t = -46926 - 32901 for t.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65159703 + 186*j + 65159703.\nAnswer: 186*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*m - w, -5*m + 194*w - 191*w = 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3518, -2, -224, 5, 2 in ascending order.\nAnswer: -224, -2, 2, 3, 5, 3518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millisecond in microseconds?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*o - 7993 + 38032. List the prime factors of o.\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -11*b + 58. Give k(-11).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 11*h**2 - 5*h - 5. Let l be k(10). Let y = l + -44. Let t(r) = -3 + 4*r**3 + 3*r**2 - r**2 + y - 3*r**3. What is t(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -104887*j - 5244348. Give v(-50).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 3) + (-2 + 2 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/18 and 47\/11.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by 5?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1.5. Let o = 672648\/11 + -61150. Which is the third biggest value? (a) j (b) 1 (c) 0.5 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11 + (-16)\/(-6)*(-129)\/86. Solve -i = -20*v + 13*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -10111?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.042, 1, 5, -3 in ascending order.\nAnswer: -3, -0.042, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7583 - 7583.000001333. Round f to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 222755400*i + 6202496028645000.\nAnswer: 2*(i - 55688850)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-60)\/(-95825)) - (-9)\/12. Suppose 42*y = 7976 + b. What is the greatest common factor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*t = 0. Suppose 0 = -t*f - 2*f + 3*a + 15, 4 = 4*a. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(-16)*14\/(-3). Calculate the highest common divisor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 13*v**2 + 21*v + 40. What are the prime factors of t(-15)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 187 - -82420?\nAnswer: 82607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1539*t - 110854 - 36661 - 20236 for t.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7084 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.404187 - 0.404. What is b rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)*-1 + sqrt(576))\/(sqrt(800) - (1*sqrt(800) + sqrt(800))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 201*c**2 + 12*c - 26. List the prime factors of j(11).\nAnswer: 13, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 11 - (-550 - -497)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -15*b - 101. Calculate w(17).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12404*f**6 - 2*f**5 - 37*f**3 - 3941*f**2 + 10864?\nAnswer: 1488480*f**3 - 120*f**2 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -12. Let l(a) = 2*a. Give l(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from mhmhhmgmhm.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 53, 119, 211, 329?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppi when three letters picked without replacement from aayiinaaapaynaapp?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -2\/7 (c) 0.012 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 0, 0.1, 2\/7.\nAnswer: -1\/11, 0, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/3816 and -89\/10.\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -12*v - 2. Let h(q) = -25*q - 4. Let u(g) = 3*h(g) - 7*m(g). Is u(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 x when four letters picked without replacement from eeoeeeoeeeexeoee.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p - 1051 = -1074 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(-3*sqrt(7)) + (sqrt(108) + sqrt(108)*1)\/sqrt(3))\/((((sqrt(216) - sqrt(216)*1) + sqrt(216))\/sqrt(9))\/sqrt(450)).\nAnswer: 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2. Suppose i = 6*i + 3*k - 94, 6 = -3*k. Let m(v) = 20*v - 6*v**2 - i*v. What is m(o(b))?\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.099 - 1866347?\nAnswer: -1866321.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b + 21. Let n(m) = 20*m + 42. Let j(x) = 14*l(x) - 6*n(x). Calculate the smallest common multiple of j(0) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617243 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-42))\/((-4)\/6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -227.402957 rounded to 1 decimal place?\nAnswer: -227.4","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*o - 11, 0 = m - 2*m + 4*o - 6. Let q be -1 + -2 - m - (-7000022 + 21). What is q rounded to the nearest 100000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (71 - 72) + (-1901)\/(-2 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(121) - sqrt(121)*-6)*4 - sqrt(121))\/(sqrt(11) + -5*sqrt(55)\/sqrt(5)) + -1)**2.\nAnswer: -24105\/16 - 81*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -7*b**6\/600 - b**5\/60 + b**4\/60 + 4*b**2 + 4. Let o(y) be the second derivative of c(y). Solve o(a) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x. Suppose 5*l - 1 = 39. Let d = l - 5. Let t(a) = -d*a + a + 7*a. Determine i(t(q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/47214 and -71\/93267.\nAnswer: 11378574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -28*y + j, -64*y + 55*y + j = 2*j + 51 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 80410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 211.5178525 rounded to one decimal place?\nAnswer: 211.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -91382*p**3 + 75645*p**4 - 138013*p**3 + 7400*p**2 + 65*p - 125*p.\nAnswer: 5*p*(p - 3)*(123*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3, 1\/6, -1, 1.018?\nAnswer: 1.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -6*l + 8, -4*h - 3*l = -112. What is the remainder when h is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: a3f (base 16) to base 11\nAnswer: 1a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2519*g - 27787. Give z(11).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -353304 + -11502?\nAnswer: -405210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.1, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(((w\/(((w**(-4)\/w)\/w*w)\/w))\/w)\/w)\/w*w))\/w**(-6))**(-22) assuming w is positive.\nAnswer: w**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 27*h**2 + 56*h - 57. Determine w(-29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -754 (c) -0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 5901 (c) -2\/7 (d) -2\/11 (e) 2\/13 (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 120027400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-36)*3 + (6080\/14592)\/((-2)\/32)?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0.9. Let o = -23 - 2. Let p = o + 20. What is the biggest value in p, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/3 - 169*j**3\/3 + 8630*j**2\/3 - 135200*j\/3 - 48000.\nAnswer: (j - 90)*(j - 40)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1774423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1, 9, 23, 43, 69?\n\"Answer: 3*l**2 - l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2001 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1205910 >= -1205865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, t: 1, r: 1}. What is prob of picking 1 t and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + (-11)\/(-3))\/((-2)\/222). Suppose 0 = -d - r - 0*r + 9, -3*r + s = 5*d. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3404*a**4 - 5638*a**2 - 487*a**2 + 3895*a**4 - 986*a**4 wrt a?\nAnswer: 151512*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12134180 rounded to the nearest ten thousand?\nAnswer: 12130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 640051525 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let a(s) = -s**5 + 4*s**2 + 3*s. Let f(q) = a(q) - 3*j(q). What is the third derivative of f(g) wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*h = -192. What is the greatest common factor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.7 - -0.3. Let y(v) = -2*v**3 + 2*v**2 - v. Let n be y(1). Let z = n - 2. Which is the third biggest value? (a) -2 (b) p (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 11. Let f(r) = -r + 11. Let l(t) = -5*f(t) - 4*s(t). What is the units digit of l(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 696 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-5)*(-2)\/(-54).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - 4*o - 5*o - 2 + 6*o - o - 3*o + (-5*o + 2*o + 5*o)*(5 + 0 - 3) + (o - 4*o + 2*o)*(6 + 26 - 70).\nAnswer: 36*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -4\/4843423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -46940 rounded to the nearest 1000?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248358478.\nAnswer: 2, 281, 457, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/3 (b) -4 (c) -1\/3 (d) 1680 (e) -86\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (255*x**2 + 82 + 75 - 158)*(0*x + 4*x - 5*x) to the form q*x + n*x**3 + c + w*x**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 111011000111?\nAnswer: -111011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u\/(u*u\/(u*u\/(u\/(u*u**(-1\/8)\/u)))))\/u*u)\/u)\/u**(-2\/7))\/(u**(4\/5)\/u*u\/u**(-4\/7)*u) assuming u is positive.\nAnswer: u**(-619\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(25 - 0\/4). What is the greatest common divisor of 50 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - 11*g**3 + g**3)*(2*g + 2 - 2)*(9*g - 76*g - 6*g).\nAnswer: 1460*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 12:03 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15682 is divided by 1207.\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-7)\/(-2))\/(65328\/(-32672) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56935 + -16322. List the prime factors of u.\nAnswer: 17, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -58 + 58. Let z be f - (-5 + -89 + -5). Is 96 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10044314 - -145?\nAnswer: -10044125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157393.\nAnswer: 157393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1 - (20 + -30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (568\/(-1278))\/((-4)\/(-90))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -4. Let g be u\/(-2) + (-20)\/(-8). Solve 2*x**3 - x**2 - x - x**3 + x**4 + 0*x**g + 0*x = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t - r = -21, -5*r = -3*t + 35. Solve -4*x + 4*v = -16, -x + t*v = 2*x - 22 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -17*n - 2349. What is w(-154)?\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5928\/1092 - 2\/(10\/(-4) + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1616235.93us to days.\nAnswer: 0.000018706434375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -27. Let u(j) = j**2. Let o(y) = 4*y**2 + 7*y + 5. Let t(v) = -o(v) + 3*u(v). Let q be t(-6). What is the highest common factor of q and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(-6 - (-172)\/30)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 6*y**2 + 4*y - 6. Let q be v(-5). Let k(m) = -6*m - 1. Let p be k(q). Is p < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 0.5 (b) 0 (c) 0.18 (d) -455\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21874\/5 - -17253\/5. Let p = t - -932. Calculate the common denominator of 33\/4 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -3023?\nAnswer: -3023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 4*z**2 - z + 3. Give a(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-1 - 4) - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425623 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -19 (b) 4 (c) 1 (d) 0.04 (e) -1.2 (f) -1\/2 (g) 0.534\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73 and 161695.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1220, -4876, -10938, -19382, -30184, -43320, -58766?\nAnswer: -76498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Suppose -2*w + 39*s = 4*w + 40*s - 14, s = 2. Solve -2*d - f + 4 = 12, d - w*f - 6 = m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*sqrt(65)*-1 - 3*sqrt(65)*1)\/(1*sqrt(125)*-2).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010212 - 111?\nAnswer: 1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -77*b**2 - 4*b - 4. Let q(i) = -18*i**2 - i - 1. Let t(f) = -c(f) + 4*q(f). Let s(p) = 5*p + 5*p - 2*p. Determine s(t(y)).\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10))\/(2\/5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123121033 + -11?\nAnswer: -123121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/1229 - -142599\/8603. Let i = 608\/35 - a. Sort 1, -5, i in descending order.\nAnswer: 1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -95\/327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*x**3 - 2\/9*x**2 + 0 + 0*x.\nAnswer: -2*x**2*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 u when three letters picked without replacement from ttuuuuuuutuuuutuuut.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 27 = 23. What is the closest to v in 5, 0, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 16. Let k(i) = 3*i - 49. Suppose 131 = -162*l + 1913. Give l*t(h) - 4*k(h).\nAnswer: -h + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*a + 33*a - 107*a = -6138 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -41234 at most -164939\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*r + 0*r + 770 = 0, -3*y + 5*r = 449. Calculate the lowest common multiple of (-6)\/36 + y\/(-12) and -25*27\/(-90)*50\/125.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, q: 1, o: 1, l: 1, g: 1}. What is prob of sequence gl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 578295 and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -17589\nAnswer: 1231.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 5, -16, 1997, 3\/5, 52\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, q: 2, a: 6, y: 1, i: 1}. What is prob of sequence tqia?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 7*x - 72. Suppose -x*i - 32 = -260. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 6*s - 4. Let z be o(4). Suppose 0*v - q + 2 = 2*v, 16 = -z*q. Solve 3*l + v = 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1652680210?\nAnswer: 2, 5, 127, 1301323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - d + 6*d = -25, -5*t + 4*d = -24. Suppose 158*z - 496 = 34*z. Solve z*l + t = -2*m, -4*m + m = -6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0471 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 10*x**2 + 7*x**2 + 3*x**2 - 5*x**2.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 72427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gotveigv. What is prob of picking 1 i, 1 t, 1 v, and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20690903.\nAnswer: 20690903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 57585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*l**3 - 116*l**3 + 55*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 8:36 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15 and -139.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, s: 17}. Give prob of sequence ssh.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 742968 and 185742?\nAnswer: 742968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/294 and 0.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -56.7. Which is smaller: -0.07 or i?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**2 + 8. Is b(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p. Suppose 8*h - 7*h = -41. Let b = h + 54. Let q(t) = -b + 13 - 4*t. Determine q(r(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432 + r - 24*r + 401 - 833.\nAnswer: -23*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*((sqrt(2299) + -1 + sqrt(2299))*5*-4 + 1) + -2 + -5)**2.\nAnswer: -431200*sqrt(19) + 91969605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f - 6. Let k be l(-4). Suppose -2*h + k = h. Solve 0 = -2*w + h - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -11. Let d = -26 - -11. Let h = -16 - d. Is h > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.85 in 12.2, -2\/13, -20, -1\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*i - 3626 + 4068 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4 - b - 1 + 4. Calculate l(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53219560 and 334.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q + 17*q - 16*q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/220 in -1\/3, -2, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -389182 less than -8951203\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2780*c**5\/13 - 8278*c**4\/13 - 186*c**3\/13 + 11120*c**2\/13 + 248*c\/13 = 0.\nAnswer: -1, -31\/1390, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134 + -940\/7. Suppose -j - 2*j - 9 = 0, 0 = 4*b + 3*j - 3. Let m be b - (1 - (-2)\/1). Do m and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -542045787*g**4 + 788801468*g**2.\nAnswer: -13009098888*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 2045960*g**2 - 24550800*g.\nAnswer: -5*g*(g + 12)*(g + 409180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 13*c**3 + 80*c**2 + 2*c + 1. Let v(j) = 36*j**3 + 238*j**2 + 6*j + 3. Determine -11*n(o) + 4*v(o).\nAnswer: o**3 + 72*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-525)*620)\/((-12)\/42)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7*(4 + (-182)\/49). Calculate the common denominator of 7\/32*b*231\/(-462) and 67\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 5, w: 4, h: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*t + 3*t. Is 4 a factor of t*2\/7*-9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2317475 + -3966186. Let g be 93\/155 - 20743552\/(-5). Let w = g + q. Round w to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c + 1. Let y(r) = -r - 1. Let q(a) = t(a) + y(a). Let o(m) be the third derivative of -m**5\/12 + 4*m**2. Give q(o(i)).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = -110*u + 170*u. Calculate the remainder when 2382 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*w = 758*w - 22137 + 69 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*k**4 + 251052*f*k**2 - f*k - 804614*f with respect to k.\nAnswer: 8*f*k**3 + 502104*f*k - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -742*h**3 + 319*h**2 + 4. Let s(o) = -o**3 + o**2 - 1. Let w(d) = p(d) + 4*s(d). Find the third derivative of w(k) wrt k.\nAnswer: -4476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -0.8 (b) -11 (c) -1\/63 (d) -125 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v - 99 = -16*v + y, -4*v - y = 19. Suppose 2*z - 27 = 3*q, -z = -2*z + 3*q + 18. Sort v, -1, -3, z.\nAnswer: v, -3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 6*y**2 - 4*y. Suppose -2*g - 3*a + 5*a = 0, -9 = -2*g - a. Let x = g - 2. Suppose 3*k - x = -16. What is q(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 19*a**2 - 15*a - 1. What is the least common multiple of 9 and t(20)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 1. Let w be c(3). Let l be 60\/(-8)*w\/2. Suppose 3*k = -4*r + 291, -4*k - 10 = 2. What is the greatest common factor of l and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2115376*v**3 - 258*v**4 + 1340*v**2 - 2115376*v**3 wrt v?\nAnswer: -6192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 7693720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 154 + 145. Let f be (-5 + (0 - -4))\/b - -111. Calculate the highest common divisor of f and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**4 + 6*a**2 + 4. Let t(p) = -7*p**4 + 13*p**2 + 7. Let o(y) = 6*t(y) - 13*v(y). Differentiate o(w) wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 9*j**2 + 16*j - 22. Let l be h(-12). What is l rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 59*u**2 + 23*u - 2. Let d be z(-3). Let i(m) = 4*m + d - 225 - 227 - m**2. Give i(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**3*z - 2*r**3 - 4422*r**2*z + 3*r**2 + 107252*r*z + 7*r wrt r?\nAnswer: 12*r*z - 12*r - 8844*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + sqrt(468) + 1)*-2 + (1 + sqrt(468) + -1 - (sqrt(468) + 1 + 0)).\nAnswer: -60*sqrt(13) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 11, v: 9}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9849 - -9844. Put -14, z, 5, -2, -1 in decreasing order.\nAnswer: 5, -1, -2, z, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(648))\/(sqrt(900)*-2))**2.\nAnswer: 81\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w - 1300 = -1311 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 670?\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c - 10 = 14*c. Factor -7*k**c + 9 - 5*k - 2*k + 3*k**3 - 1 - 5.\nAnswer: (k - 3)*(k + 1)*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*c**4 - 3732494*c**3 + 3 + 3732493*c**3 + 3*c**2 - c + 2 in the form k*c + p*c**2 + u*c**4 + t*c**3 + w and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, u: 4, z: 2, k: 1}. Give prob of picking 2 u and 1 b.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220122211101 (base 3) to base 11.\nAnswer: 634a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**12*j*j**(2\/19))**34\/((j**1)**(-2\/31)\/((j*j\/(j**0\/j*j))\/((j\/j**(-5))\/j))) assuming j is positive.\nAnswer: j**(260717\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 594868 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**9*f**1)**(1\/46)\/((f\/((f\/(f*f*f\/(f*f**(-1\/8)\/f)*f*f))\/f))\/f*(f\/(f**(2\/3)*f))\/f*f)**47 assuming f is positive.\nAnswer: f**(-115751\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/8*(38 + -42). Let m(f) = 2*f**2 + 5. Determine m(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1025 + 2114. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*-634.595\nAnswer: -6.34595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18109533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 139*s + 43. Let x be t(-3). Let y = 667 + x. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62607 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 + 5*n + 1. Let t(s) = -3*s**2 + 6*s + 1. Let m(i) = -i**3 - 8*i**2 + 9*i + 4. Let j be m(-9). Determine j*z(l) - 3*t(l).\nAnswer: l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -98039*r**2 + 51308 wrt r.\nAnswer: -196078*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 12:49 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 2*y + 10 = 0, 5*j + y + 10 = 3*y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 28. What is the second smallest value in b, -5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*n + 4056 = -4835 + 19003 for n.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(-4*m**2 - m**2 + 4*m**2) + 0*m**2 - 3*m**2 + 2*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eighteen fifths of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6782098 tonnes in grams?\nAnswer: 678209.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*b + 2*c, -8*b + 7*b - 10 = 5*c. Let d(m) = m**3 - 6*m**2 + 7*m - 7. Give d(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6946 or 6945?\nAnswer: 6946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w\/w**(-2\/5))**1)**(-1\/3))**(-7))**(-15) assuming w is positive.\nAnswer: w**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**3 - 2*c**2 + 4*c + 4. Calculate k(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1*2)\/2)\/(255\/170)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*sqrt(720).\nAnswer: -12*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210014 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/(b*b*b**18)*b**(13\/4)*b assuming b is positive.\nAnswer: b**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 48*l**2 + 53*l - 286. Determine u(47).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -12*o - 79. Determine s(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 873*m**2 + 923*m**2 - 2666*m**2 + 869*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*v - 128 - 42*v + 230*v**2.\nAnswer: 230*v**2 - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*v = 32 - 35, 0 = 3*v + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 - -57. Suppose 6*o - o + 125444 = -4*d, -3*d = -h*o - 125472. Is (-2)\/(-18) + o\/(-162) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.31\nAnswer: 1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(5*(-10)\/50)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 374 and 646?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - k + 10 - 29.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1587.32 - 1783.9. Let x = q + 4.58. Let p = -191.9388 - x. What is p rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6}. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1288?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 5. Let r be j(5). Let h(v) = -3*v - 6. Let b be h(-6). Let n = b - r. What is the greatest common divisor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149177927629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*z, 26*z + 8 = u + 31*z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/5 + 2\/5. Suppose -d = 4*d - 155. Is 1\/((1\/i)\/d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 971 - 891. What are the prime factors of 6\/(-16) + 2\/(w\/65615)?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7960 and -3.\nAnswer: -7963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 v when four letters picked without replacement from pvvvvppv?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 218162 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/4523769 and -149\/7036974.\nAnswer: 63332766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -2.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.3 - -4. Let d be 2\/14 - (-23 - (-5124)\/196). What is the second smallest value in d, -5, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 8*o**2 - 2*o - 8. Let b = 14 - 22. Let w be a(b). Let s be (w\/(-100))\/((-2)\/(-10)). Put 4, 0.2, s in descending order.\nAnswer: 4, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 7:21 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in years?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/376 and -40\/3.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 - 3*f - 2. Let o(y) = 23*y**2 - 17*y - 11. Suppose 24 = -9*s + 13*s. Calculate s*o(i) - 34*d(i).\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 9:33 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stntntvskggtgv. Give prob of sequence sgng.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(42)\/sqrt(6))**2 - (-3*sqrt(7)*3)**2)*1*3.\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by 116\nAnswer: -37\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1814470 to the power of 1\/2, to the nearest integer?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*s + 1 - 72*s + 138*s.\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 789 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1832*v - 2350 = 1926*v for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 392295825?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (1315132\/(-142560))\/7. Let t be (-4)\/(-6) - (-4318)\/(-6480). Let i = d - t. What is the common denominator of -53\/18 and i?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.6 + -10. Let l = -0.1 + v. Let w = 0.3 - -0.2. Sort -0.1, w, l in descending order.\nAnswer: w, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 14*y - 4*t - 712 = 0, 2*y - 2*t = 1424. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 2\/7, 0.3, -32429?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 405178 and 8698.\nAnswer: 1762119122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -3*q - 39. Solve -8*n - 10 = -q*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2524, -2350, 4 in descending order.\nAnswer: 4, -2350, -2524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**2\/2 - 18*s - 12. List the prime factors of g(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9041, -8932, -8773, -8558, -8281, -7936, -7517?\nAnswer: -7018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-2 - (5 + -8)) + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 171083042098\/37929 - 7974222020467151\/118641912. Let j = -62701907 - g. Let b = -4\/391 - j. Find the common denominator of b and 47\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -349330\nAnswer: -1\/69866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12)\/(-5 - (-3 + -1))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 63, 66, 57, 30, -21, -102?\n\"Answer: -t**3 + 10*t + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 6. Suppose -5*p - 38 = i. Let b be p\/((-2)\/10 - (-18)\/(-10)). Solve 6*j - j - 37 = b*x, -3*x = 4*j - 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**(-1\/4)*b*b))*b**12)\/(((b\/b**(2\/3))\/b)\/b**(-1\/13)) assuming b is positive.\nAnswer: b**(2237\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(4\/13))\/b**(-17) assuming b is positive.\nAnswer: b**(238\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-602)\/(-21) - (-15)\/((-180)\/16).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1391423.\nAnswer: 11, 126493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 + 114 + 42*t.\nAnswer: 42*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 8 - 4 - 9*d + 2. Let p be w(8). Is 4 a factor of (-63)\/p + (-1)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*t**2 + 11*t**2 - 35*t**2 + 57*t**2 - 19 + 112*t**2 - 2*t wrt t.\nAnswer: 370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4989 is divided by 1655.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5442 and 13822?\nAnswer: 37609662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4 - 1. Let s be (33\/(-6) + d)*2\/(-21). Suppose -16 + 6 = 5*y. Which is the smallest value? (a) s (b) y (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0207*-1255.\nAnswer: -25.9785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 114, 131, 164, 219, 302?\n\"Answer: j**3 + 2*j**2 + 4*j + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*f + 67 = -3*u, 0 = 2*u - f + 35. Let q = u + 13. Let i = 11 - q. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -4602\nAnswer: -2\/2301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert a12 (base 11) to base 10.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 85996004.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 221\/(-884)*-4*3\/9\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142 - -149. Let n(v) = 2*v**3 + 9*v**2 - 4*v - 12. Is n(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 20*h**2 + h + 6 - 27 - 1 + 1. Let k(r) = 18*r**2 + r - 21. Let f(b) = 5*c(b) - 6*k(b). What is the second derivative of f(z) wrt z?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159 times -0.3\nAnswer: -47.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 + 21*f - 20. Let t(k) = k**2 + 7*k - 8. Determine 3*g(q) - 8*t(q).\nAnswer: q**2 + 7*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -337570.\nAnswer: 8\/168785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/3 - 3020*c\/3 - 47000.\nAnswer: -4*(c + 50)*(c + 705)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6636781?\nAnswer: 6636781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 12:20 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 577336784 to the power of 1\/3, to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4648.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -17. Let a(n) be the first derivative of -2 - 11\/2*n**4 - 3\/2*n**6 - 1\/2*n**m + 24\/5*n**5 + 8\/3*n**3 + 0*n. What is c in a(c) = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 + (-51 - (-36 - -10)) - (-6 + 1).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 13891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b. Let u(h) be the second derivative of -5*h**3\/6 - h. Determine u(f(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000151601 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 b when four letters picked without replacement from haabuaababhbaauaaauu.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 603 + -534. Is t less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27959201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4459 - 4439. Let t(j) = j**2 - 23*j + 51. Give t(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6001, 11952, 17883, 23794?\nAnswer: 29685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -27*r - 5. Is h(-3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 5*x**2 + 9*x - 2. Calculate the lowest common multiple of a(6) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-78 - -9) - (-18 + 33)) + 11?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -94*r + 2609. Give u(28).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*y**3*z**2 + 6*y**3*z - 124*y**3 + 7*z**3 wrt z?\nAnswer: 4*y**3*z + 6*y**3 + 21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1221 is divided by 135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 - 1. Let u = -209 - -207. Let p(c) = -8*c**2 - 9*c + 31. Let g(o) = -4*o**2 - 5*o + 17. Let z(y) = 11*g(y) - 6*p(y). Give u*z(q) - 5*l(q).\nAnswer: 2*q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2809 divide 63455310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 136212873701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 7:00 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 499 = -3*h + 1847, -2*h - n = -1573. What are the prime factors of h?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-4 - -4)\/((-2)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 37*t**2 + 38*t - 41. What is the lowest common multiple of 6 and p(36)?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 18*f + 67. Let s be m(-5). Suppose 4*n - 136 = -4. Factor p**3 - 2 + s*p**2 + n*p - 31*p - 3*p**3.\nAnswer: -2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 84967, 342200, 770927, 1371154, 2142887, 3086132, 4200895?\n\"Answer: x**3 + 85741*x**2 + 3*x - 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 736*a + 17 + 737*a + 2 - 1475*a.\nAnswer: -2*a + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -6*m + 4*p + 32, -2*m + 36 = -5*m + 5*m + 4*p for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12253354 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from zzg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**2 - 1. Let f(m) = 6*m**2 - m + 1. Let g = 10 + -6. Let x(h) = g*f(h) + 5*v(h). Determine x(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 24 = -q + 52 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**4 - 2*k**3 + 0*k**4 + 1 + 4*k - 3*k + 0*k**3 to z*k**3 + j*k**2 + w + t*k**4 + i*k and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164530 - 2.\nAnswer: -164532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**3 + 17*d**2 - 20*d - 17. Let z(t) = -5*t**3 + 26*t**2 - 30*t - 26. Let p(i) = -8*g(i) + 5*z(i). Does 21 divide p(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 676 and 468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v + 4. Let q(l) = -l**3 + 8*l**2 - 12*l + 4. Let p be q(6). Give a(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -143*j**4 - 4*j**3 - 8*j + 30. Let o(f) = 141*f**4 + 3*f**3 + 6*f - 29. Let t(d) = -4*o(d) - 3*y(d). Differentiate t(v) with respect to v.\nAnswer: -540*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 347154\nAnswer: 1\/347154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbttb. Give prob of picking 2 b.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**5\/12 + 13*m**4\/24 - 15*m**2. Find the second derivative of z(o) wrt o.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -10*j + 7*j. Let n be (-2 + j)\/((-4)\/12). Which is the closest to 2\/7? (a) n (b) 2\/7 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 - -42467?\nAnswer: 42486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (0 - 8 - -7) - (-4 + -3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l*o - 3*l + 23*o - 65 wrt o?\nAnswer: l + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x + 4*x. Let p(w) = w**3 + w**2 - w + 1. Let k(d) = 3*d**3 - d**2 - 1 + 6 + 5*d**2 - 4*d. Give x*k(n) + 4*p(n).\nAnswer: n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**2 - 3460976*p + 6921936 = 0.\nAnswer: 2, 865242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -2) + (0 - 7) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26a - -2?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -92 in 2, -106930, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -116 + 101. Let s be ((-5)\/d)\/((-265)\/30 - -1). Sort s, -2\/11, 0.1 in descending order.\nAnswer: 0.1, s, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Let m = r - 1. Let d = 14 + -10. Which is the second smallest value? (a) m (b) d (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000496909 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/5, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.18 - 17.19. Let j = s - -9.01. Let i = -9 - -4. Which is the closest to 0? (a) -2 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4410313 to the power of 1\/2, to the nearest integer?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - r. Suppose -4*i - 24 + 0 = r. Let p = 11 + i. Solve -1 = -2*h + 5*c, -5*h + 4*h = -p*c + 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, w: 2}. Give prob of picking 2 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-8) - (-1 + (-219)\/(-168)). Put 4, z, 3, 2\/19 in descending order.\nAnswer: 4, 3, 2\/19, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 1, f: 2, y: 3}. Give prob of sequence qy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/8*42 + -1 + 1. Suppose 1044 = -12*f + y*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-48)*1)\/((-3)\/6).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzzzqazqqaqqqaa. Give prob of picking 3 z.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 292\/3 + -98. Which is the third biggest value? (a) -0.5 (b) v (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**3 - 3*o**3 + 2*o**3)*(-38*o + 39*o + 42*o + 20*o).\nAnswer: 189*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -121000 (base 4) in base 16?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7)*7812\/837*(-27)\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i + q - 86, -4*i - 3*q + 113 = 0. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.1 - -22.7. Let q = -197\/112 + 19\/16. Let y = q + 1. What is the smallest value in y, g, 0.01?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -11*z - 474. Which is smaller: -159 or z?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1)\/y)**(-13) assuming y is positive.\nAnswer: y**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8452*u = -8447*u - 1040. Calculate the greatest common factor of 728 and u.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -386*h**3*n**5 + 7*h**3*n**3 + h**3 - 784*h**2*n - h*n + 3*n wrt n.\nAnswer: -7720*h**3*n**3 + 42*h**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24\/109 or 6098.2?\nAnswer: 6098.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (-30)\/(-6))*-2. Suppose 0 = h + y*j + 33000008, 0 = -2*j + 5*j + 6. What is h rounded to the nearest 1000000?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7795.74 + -7927. Round c to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-38)\/(-95) + 1392\/(-5). Let t = g + 615\/2. Find the common denominator of t and -25\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - (-4 - -9))\/(-2). Put -35, i, -5, 4 in decreasing order.\nAnswer: 4, i, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/4675 and -197\/145992600.\nAnswer: 1605918600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (206\/(-1854))\/((-1)\/9 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-25)\/1 + 2)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*p - 211 = -5353 - 510 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 5. Let d be i\/3 - 2\/3. Let t(n) = n**2 - 2*n - 2. Let l(h) = h**2 - 3*h - 2. Let s(k) = -k - 2. Let y be s(-5). Calculate d*l(p) + y*t(p).\nAnswer: p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101101011010011 (base 2) to base 11.\nAnswer: -118623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*g**3 - 42*g**3 + 87*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -7*m**5 - 117*m**4 + 307*m**3 + 41*m**2 - 300*m + 76 = 0.\nAnswer: -19, -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*j, -5*x + 0*j = 2*j. Suppose -v - 10 = -5*y, -3*v - y = -2 - x. Suppose v = -0*c - c. Solve 1 = -m - c*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one fifths of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.73394 - 8749.\nAnswer: -8742.26606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4*n - 20 = 0, 20 = p + 3*p + n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuee when four letters picked without replacement from euewcw.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -14*v**3 - 2324*v**2 - 9*v - 1624. What is m(-166)?\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 517019 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 375489 = -19*s - 8*s. Does 23 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1712, 5, 3?\nAnswer: 1712","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - c**2 + c. Let f be y(2). Let r be -8 + f - 2*(-18)\/21. Let l = 4 + -4.1. What is the closest to r in -0.4, l, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - q**2 - q**2 + (-2*q - q + 2*q)*((5 + 0 - 4)*(3*q - 4*q + 2*q) - q + q + q + 0*q - 4*q + 31*q + (0 + 1 - 2)*(-5*q - 28*q - 12*q)).\nAnswer: -73*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 3*j + 38*j - 592. Solve 0 = -5*g + 20, 13*i + g = j*i - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (-6 - 1)) + 3 + -4. Let x be 1\/(-2)*(1 - 1). Suppose x*k = -d*k + 2742. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oytoyt. Give prob of picking 2 y and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 450 = -8*d. What is the units digit of (d\/(-20))\/(-1 - 28\/(-32))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -4. Let u be 1\/2*(-6 + 4). Let w = -1 - -5. What is the third biggest value in w, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5850 and 307300?\nAnswer: 35954100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -115*j**2 - 13*j - 12. Let t(b) = 231*b**2 + 28*b + 26. Determine 13*s(o) + 6*t(o).\nAnswer: -109*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1073681547?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130340313 (base 5) to base 8.\nAnswer: 2334036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*m**3*u**2 - 14*m**2*u**3 - 2*m*u**3 + 45*m*u**2 wrt m.\nAnswer: -72*m*u**2 - 28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*b**2 - 966876*b - 294273.\nAnswer: 3*(b - 14013)*(23*b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 243935 times -4?\nAnswer: -975740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/27)\/((-15)\/270). What is the greatest common divisor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 8*g**2 + 3. Let s be m(8). Suppose s*l = -u + 40, 0 = -5*u - 9 + 29. Solve -l = 3*d + 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-10))\/(2\/(-10)). Let s(a) = 14*a**3 - 2*a**2 + 3*a - 2. Let q be s(w). Suppose 11*f - q = 8*f. What is the highest common factor of 90 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 2*c**2 - 4*c - 3. Let z be d(-2). Suppose 139 = z*j - 351. Is 28 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -160 - -162. Let w be (11254\/(-187) + p\/11)*11. What is w rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5) - (-10 - (988\/(-65) - -16))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 601*b**2*g - 17*b**2*v**3 + b**2 - 102*b*v + 5*g*v**3 - v**2 wrt g.\nAnswer: 601*b**2 + 5*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7544 and 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73735650 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 3\/2*i**2 - 12*i - 12. Differentiate c(v) with respect to v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161\/38, 0.4, -4631 in descending order.\nAnswer: 161\/38, 0.4, -4631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 13 - 7 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 1. Let d(r) = 7*r**2 + 5. Let v(k) = -d(k) + 5*m(k). Let o(a) be the third derivative of a**5\/60 + 13*a**2. Calculate v(o(b)).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 8:20 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -14*w + 10 + 7 + 40 + w + 13. Let o be v(5). Solve -20 = -m + o*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2880)*5 - sqrt(2880))**2 + (((sqrt(5) - (sqrt(5) + -1)) + 5 - sqrt(5)) + -6*(4 + sqrt(5)))**2.\nAnswer: 252*sqrt(5) + 46653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 394 = 3*y. Let k = 218 - y. Solve 3*u - 32 = 4*h, -5*h = u - 0*u + k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p + 17. Let j be z(3). Let x(k) = 3*k**2 + 2*k - 5. Let i(o) = 10*o**2 + 7*o - 15. Calculate j*i(h) - 7*x(h).\nAnswer: -h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1394 divided by 17\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = j - 4, 4*d + 0*j - 24 = 4*j. Let y = -0.04 + -5.96. Let q = -4 - y. Which is the smallest value? (a) d (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktzc when four letters picked without replacement from {t: 1, h: 1, z: 2, d: 2, k: 1, c: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75.5 - 77. What is the second smallest value in j, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4\/2 - 72471*h**3\/4 + 219142893*h**2\/4 - 1857156585*h\/4 - 983373075\/4 = 0.\nAnswer: -1\/2, 9, 6035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139772273?\nAnswer: 31, 37, 233, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4219 is divided by 601?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**5\/3 - 67*v**4\/3 + 73*v**3 + 367*v**2\/3 + 77*v\/3 = 0?\nAnswer: -1, -1\/4, 0, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7815297105 to the nearest integer?\nAnswer: 1984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*l + 5 - 3 = 0, -l - 11 = 4*a. Let i be -1000*(74 + (a - -1)). What is i rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -861473.26000335 + 861472.6. Let a = -0.66 - j. Round a to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3942 times 290?\nAnswer: -404.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2 + (-5 + 1 + 1)*(4 - 4 - 2))*(-j - 2*j + 0*j).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 11:07 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + (-3)\/2)*0. Let a(b) = 5*b**3 + b**2 - 7*b - 54. Let k(v) = -11*v**3 - 2*v**2 + 15*v + 109. Let y(o) = -13*a(o) - 6*k(o). Is 16 a factor of y(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 40 = -4*j - 0*v, -2*v = 10. Suppose 4*g + 3 = j*g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**5\/30 + i**4\/6 + i**2. Determine p, given that s(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -606854 + -4563146. Round m to the nearest 100000.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*n - 389*n + 154 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 2*z**2 + 2*z - 2. Suppose -16 + 1 = -5*s. Let u(m) = -m**2 + 6*m - 6. Let d be u(s). Calculate x(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5915545?\nAnswer: 5, 97, 12197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqlliqqiiqqqiqql. What is prob of picking 1 q, 1 i, and 1 l?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -420*j**2. Let g(v) = 3*v**2 - 12. Give g(i(n)).\nAnswer: 529200*n**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 193 + -80. Calculate the remainder when z is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78314 = 4*n - 5*d, 2*n - 39178 = 99*d - 100*d. List the prime factors of n.\nAnswer: 2, 7, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 - 5*s**3 + 25*s**2 - 15*s.\nAnswer: -5*s*(s - 1)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/23169 and -43\/8?\nAnswer: 185352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - 162. Let w = c + 336. Suppose 4*k = -0*k + w. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 79 + -43?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 238309 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3 + 65670*v**2\/7 + 4318548*v\/7 - 1239232\/7 = 0. Calculate v.\nAnswer: -4624, -67, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**6\/30 - 7*r**5\/60 - r**2\/2 - 4. Let l(b) be the second derivative of i(b). Find the third derivative of l(j) wrt j.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2 - p**2 - 2*p + 4*p - 5 + 6*p**2. Let d be b(7). Which is smaller: 178\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**6\/60 + r**5\/20 - r**4\/4 + r**3\/3 - 1057*r**2. Give y(3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/((sqrt(2) + sqrt(18))*-2).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 589883, 589847, 589787, 589703, 589595, 589463?\n\"Answer: -12*u**2 + 589895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 57387110 divided by 5\nAnswer: 11477422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 7:01 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4*l - 50 = 0, -74*i + 30 = -79*i + 2*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -g. Suppose -r - 2*r + 75 = g. Factor 65\/2*t**2 + 2 - 14*t - r*t**3.\nAnswer: -(2*t - 1)*(5*t - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 6. Let m(u) = -3 + 0*u + u - 2. Suppose -2*f + 10 = 2. Determine f*m(j) - 3*l(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5)*s)\/s)**(-6\/5)\/(s**(3\/7)\/s**(-11)) assuming s is positive.\nAnswer: s**(-2084\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2.8, -0.254, -1\/3, 4\/5?\nAnswer: -0.254","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 10*g + 24*g + 3*g + 8*g + 168*g in the form x*g + n and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4851*p - 9648*p + 4792*p - 2.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1637, -1636, -1635, -1634, -1633?\nAnswer: -1632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**3 + t**2 + 2*t - 1. Let b be i(3). Let u = -8074 + 7966. Let r = b - u. Solve r = -4*p + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 38. Let o(r) be the first derivative of 2 - 23*r + 21*r - 2*r**2 + 4*r**5 + 2*r**f. What is the derivative of o(z) wrt z?\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 1 = 7*d. Sort 5, d, 3 in increasing order.\nAnswer: d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.012 + 0.412. Suppose p - 4 = -8. Let c be ((-6)\/(-64))\/((-1)\/p). What is the third smallest value in c, q, -0.7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w + 2. Let h be q(-4). Let x = h - -21. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/(-5) + (-2)\/(-5). Suppose 0 = 8*j - v*j. Suppose 3*n - 33 - 57 = j. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcqqxqqcfcqxpxqcxqxq. What is prob of sequence qcf?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 3*t**2 + 30 + 105*t + 88 - 185 + 21.\nAnswer: -3*t**2 + 105*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from {u: 3, m: 1, i: 5, d: 1, s: 3}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 3 + 12\/(-16)*-4. Let o be 1\/((2\/5)\/2). Suppose 0 = -o*t + 20, b*t - 3 = 2*x + 1. Solve -x*s = -3*s + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38190 and 25460.\nAnswer: 76380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 10*u - 4*m - m = -5, 3*m = 2*m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25643 + 25648. Let y = -6.3 - -6. Let h = 2 - 3. Which is the nearest to h? (a) i (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 56?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 12:35 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 141509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487107 = -5*x + 2*g, -62*x + 6*g = -59*x - 292245. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k - 4 + 3*k - k + 13*k**2 + 6*k. Let h be t(-4). What is the common denominator of 2 - 1 - h\/16 and -101\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 7. Suppose 2*o - 2 - v = 0. Suppose 0 = -o*i - 2*i - 3*d + 108, -3*i - d + 76 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -732962104 by 2.\nAnswer: -366481052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2220 + -1212. Suppose 2*z + w = -3*x - 2065, -2*x = 2*z + 2052. Let u = x + -2979. Round u to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r - 8. Let i = 61 + -57. Let s(w) = 1 - i*w + 14*w - 9*w. Give 3*o(f) + 24*s(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -5, 1935787, 3, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2\/((-2)\/2*2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 20701*o + 165632. Calculate k(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9915 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -50777 times -1.4799\nAnswer: 75144.8823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o - 131*o + 1170 = 86*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -108 + 3*k**2 + 0*k**4 + 1\/2*k**5 - 43\/2*k**3 + 126*k = 0.\nAnswer: -6, -3, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from {q: 1, l: 2, o: 1, m: 2, n: 2, v: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96995 is divided by 1469?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 486\/1750 + (1\/3 - (-13)\/(-21)). Let q = -8 + 9. Which is greater: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d - 15. What is the units digit of w(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, e: 4}. What is prob of picking 4 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/2, -5, -0.2, 2\/3231, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41570.9 from -9.65.\nAnswer: 41561.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 8. Let w be s\/(-15) - (-1194)\/10. Suppose -w - 21 = -5*r. Calculate the remainder when r is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 28 = 2*v, -3*v - 2*h - 32 = -3*h. Let z = 2261\/166 + -10\/83. Calculate the common denominator of z and ((-604)\/30)\/((-8)\/v).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1444 and 1697061?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.1 to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-23)\/46)\/((-1)\/56). Calculate the highest common divisor of 196 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**2 - 7*n - 27. Calculate o(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5049470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaav when four letters picked without replacement from avava?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c82 - 22?\nAnswer: -ca4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5195.3204 and 5.\nAnswer: -25976.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.0531 - 0.0531. Let x = -0.1 + 0.3. Which is the closest to x? (a) s (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**2 + 145*i + 333. Give o(35).\nAnswer: -717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3) - 124\/(-6). Suppose 6 = -5*o + p. Is 0 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 - 3*n**2 - 2*n - 5. Let k(w) = 5*w**3 - 7*w**2 - 5*w - 11. Calculate -9*d(c) + 4*k(c).\nAnswer: 2*c**3 - c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 145*y + 6333. Let l be p(-35). What is the greatest common divisor of l and 11187?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456970 rounded to the nearest ten thousand?\nAnswer: 1460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-5*sqrt(324)*-4)\/(sqrt(8)\/sqrt(4)*-1 - -2*sqrt(288)))**2.\nAnswer: 64271\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 4*h = -18 + 14, 2*o + h - 4 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a*d**2*w**3 + 91589*a*d**2*w + a*d*w**2 + d*w**3 + d*w + 6464*w**2 wrt d.\nAnswer: 8*a*w**3 + 183178*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, -91, 61 in decreasing order.\nAnswer: 103, 61, -91","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + x - 19, -19*g + 2 = -348*x + 354*x - 57 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(21\/(-135))*(-7)\/(-42) and -51\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 668, -0.332, 3?\nAnswer: -0.332","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 318.22571 rounded to one dp?\nAnswer: 318.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + 0)**2 - sqrt(16)\/(-2*sqrt(8))) + 1*(sqrt(126)\/sqrt(7))\/sqrt(9).\nAnswer: 3*sqrt(2)\/2 + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.8 - -15876962179.\nAnswer: 15876962185.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -194, -386, -578?\n\"Answer: -192*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/4037112 and -24\/953207.\nAnswer: 68630904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 351 - 348. What is the second derivative of 87*x**3 + r*x - 85*x**3 - 33*x**5 + 16*x**5 wrt x?\nAnswer: -340*x**3 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:39 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 63206*y. Let c(o) = 1952*o. Determine h(c(m)).\nAnswer: 123378112*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 22*m + 25. Let n be y(-16). Let q = -66 - n. Suppose 2*t = -2*k + 124, -130 = -0*k - 2*k - q*t. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -30\/29, -57\/7 in decreasing order.\nAnswer: 7, 2, -30\/29, -57\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 180 + -173. Suppose -2776 + 235 = -i*d. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013484452 to 5 decimal places.\nAnswer: 0.01348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 7*g + 7. Let i be x(6). Let n(y) = i - 4*y**3 - 5*y**2 - 2*y + 4*y + 0 + 2. Let z(d) = d**3 + d**2 - d - 1. What is -n(b) - 3*z(b)?\nAnswer: b**3 + 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -3*u - 13*z + 426, u = 5*z + 102. Let j be 8\/14*(-21)\/(-6). Suppose 0 = -j*v + 12 + 12. What is the highest common divisor of v and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3 = 5*r, -3*r + 2*r - 3 = x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4111943088.\nAnswer: 2, 3, 11, 7787771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3594 + -3631 - (-28 + 2) - (54 + 1 + -1)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - h + 4*h = 17, 4*w + 3*h + 43 = 0. What is the common denominator of 75\/16 and w\/(-15) + (-1734)\/(-72)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23565 - 4900. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/((p*p**(-3\/2)\/p)\/p)*p*p)\/((p\/p**5)\/p)*p\/(p\/(p\/(p**(-3\/7)\/p)))*p*p**(-7)*p assuming p is positive.\nAnswer: p**(125\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*sqrt(78))\/(-1*sqrt(150)).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -93*q + 1. Let v be d(-2). Let o = -107 + v. Suppose 0 = -5*l - 0*l + o. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 + 111 = -69*d - 108 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2. Let z(a) = -2095*a**2 - 10668 + 21330 - 1660*a**2 - 10662. What is k(z(x))?\nAnswer: 56400100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14225040*o**2 - 157377241*o wrt o?\nAnswer: 28450080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001473565097 rounded to five dps?\nAnswer: 0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/4)\/((-4)\/(-3184)). Suppose 3*l - 5*l - 3*o + 193 = 0, 0 = 2*l + 5*o - c. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16385 and 3614305.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*y**4 + 16*y**4 + 0*y**3 + 10 - 4*y**2 + 2*y**3 + y**2 - 3 in the form a*y**3 + k*y**2 + d*y + t + b*y**4 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*u - 2*x - 1932, 2*u - 3*x = 1313. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = 1242 + 1264 - 2660 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 832506 times -4?\nAnswer: -3330024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5542423 (base 12) to base 2\nAnswer: 111110000001111111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.5 - -16.8. Let u = z - 0.3. Let v = u + -10.8. Round v to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/616 and -109\/25212?\nAnswer: 352968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -9*x - 55*x + 13*x - 49*x + 17*x - 44. Let n(f) = -f + 1. Let z(m) = i(m) + 4*n(m). Differentiate z(c) wrt c.\nAnswer: -87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1899*x + 19*x**5 - 242*x**2 - 28*x**5 + 30*x**5 + 241*x**2 + 19*x**3 wrt x.\nAnswer: 1260*x**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 650*l**2 - 5*l + 6. Let n(g) = -g**3 - 649*g**2 - 4*g + 5. Give -5*c(v) + 6*n(v).\nAnswer: -v**3 - 644*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 146, 1, -5, 143109 in ascending order.\nAnswer: -5, 1, 146, 143109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 7 (c) 8\/7 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 9:36 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 7. Let r be (1 + 7)\/(u\/(-2)). Suppose 4*o - 22 = p, p = o + r*o - 28. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3*u**2 - 2*d**3*u - d**2*j*u + 17*d**2*u**2 - 2*j*u**2 - j*u - 47*j wrt u.\nAnswer: 2*d**3 + 34*d**2 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -354831\/4 + 88719. Suppose -6*v + 3\/4*v**4 - 9\/2*v**3 + 0 - j*v**2 = 0. Calculate v.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -21.769693549.\nAnswer: -21.869693549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -26775, -13, 560?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/(-240)*(-2)\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.598 + -981706.\nAnswer: -981706.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1245208?\nAnswer: 2, 31, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/57)*g\/g**8*((g*g**(-5))\/g)**(13\/2) assuming g is positive.\nAnswer: g**(-4507\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + o = 2*o - 33, o - 6 = -a. Let r = 0 + 0. Find the second derivative of -a*q**3 + 5*q + 15*q**3 + r*q wrt q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 67696717?\nAnswer: -33848358.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0255074824 rounded to 4 decimal places?\nAnswer: 0.0255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 260993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -5*o - 333, -o = -31*m + 4*m + 29*m + 61 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from tgtwtttgttwtwttw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/10*2\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 - 3*q + 1. Let s be o(2). Put s, -2, 1, 2 in increasing order.\nAnswer: -2, 1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (12 - (13 - -10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**3\/3 + 5*i**2 + 33*i. Let t be k(-4). Solve -u + 2*j = -3, t*u - 8 = 6*u + 2*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 2. Let y(m) = -m + 2. Let s = -67 + 63. Let l = 3 - 1. Suppose -l*g - 9 = g. Give g*a(j) + s*y(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149372996 by 2.\nAnswer: -74686498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*y = -18, -6*y = 2*j - 3*y + 12. Let v = -399 + 395. Let x = 643 - 646. Put v, j, x in decreasing order.\nAnswer: x, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 52. Let l = 12.9 + -15.9. Which is the second biggest value? (a) 5 (b) -2\/17 (c) u (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g + 18 = 18. Let t be (-395)\/(-237)*(18 + g). Solve 0 = -2*w + 5*l - t, -w + 2 = w + 3*l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, n: 2, j: 4, r: 4}. Give prob of sequence prp.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7 - 11147069331.\nAnswer: -11147069329.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 889 + -887.4. Which is the closest to 1\/2? (a) n (b) -2 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7894356 divided by -1973589\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6) + 11\/3. Let v = 11.1 - 11. Let h = v - -0.3. Which is the closest to -2\/7? (a) j (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.9 + -19. Sort 2, 1, c in decreasing order.\nAnswer: 2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 10*s - m - 8 = 0, 2*s - 8 = 4*m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**8\/168 + 86*d**7\/735 + 389*d**6\/420 + 214*d**5\/105 + 17*d**4\/21 - 64*d**3\/21 + 3*d**2 - 80. What is s in t(s) = 0?\nAnswer: -2, -1, 2\/7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168670736 a multiple of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*g - 5 - 1 = 0, -x - 8 = -g. Suppose -28*w - 16 = -32*w. Let d(a) = -12 + 4*a + w + 7. What is d(x)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 1 + 18*z**2.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4421, 2271, 121, -2029, -4179?\n\"Answer: -2150*x + 6571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88.3746 + -28.6744. Let c = 63 + 54. Let r = c + s. Round r to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -149*q**2 - 5*q - 5. Let g(p) = -2160*p**2 - 72*p - 72. Determine -5*g(v) + 72*z(v).\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(20*t - 247*t - 31*t - 27*t) to v + u*t and give u.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 32*d + 2*d + 19*d + (d + 0 + 0)*(1 - 4 + 1) - 4*d + d + 4*d.\nAnswer: -12*d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/2))**(1\/21)\/(w**(-3)*w*w**5))\/((w\/w**2)**(1\/15))**(14\/13) assuming w is positive.\nAnswer: w**(-2643\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 355529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-547547)\/(-44))\/13 - (-1)\/(-4). Let q(y) = 6*y - 4. Let z be q(3). What is the second derivative of -g + z*m + 957 + 5*m**5 wrt m?\nAnswer: 100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - (-98)\/(-35))*3\/((-6)\/10). Let g be 1*-4*(-3)\/26. Which is greater: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2432450.\nAnswer: 1\/1216225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.1. Let t = 28.5 + -12. Let g = -17 + t. Which is the third biggest value? (a) d (b) 0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 82335?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 4004421?\nAnswer: -4004413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3*d + 1 + (-2 + 2 - 2*d)*(10 - 13 - 26))*(-2*d - 3 + 3 - 3)*(-4 - 2 + 3) as i + n*d + w*d**2 and give w.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*((-5)\/3 + 2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24318 is divided by 380.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {o: 11, s: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -18*g**2. Let h(t) = -56*t**2 - 2. What is h(b(q))?\nAnswer: -18144*q**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 29.5. Let a = -4.3 - -8.7. Let h = a - 4. What is the second biggest value in 3, f, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1\/11, 444, 4235?\nAnswer: 444","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**3 + 2*l + 0*l + 122*l**2 - 2 - 11*l**4 - 240*l**2 + 118*l**2 as a*l**4 + w*l + b*l**2 + u*l**3 + o and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 + -128. What is the biggest value in 0.15, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61715 (base 9) to base 12\nAnswer: -1b658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -2*b, 4*f - b - 57 = 0. Suppose 3*p - 75 = -f. What is the remainder when 38 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 165 (c) 154\/23 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999844?\nAnswer: 2, 181, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1274863 and 51499?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2*b**2 + 2444*a**2*b + 8385*b**2 wrt a.\nAnswer: -4*a*b**2 + 4888*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1683, -3, 3, 4, 1 in ascending order.\nAnswer: -1683, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6)*((n**3\/n*n*n)\/n)\/n*n*n**(-5)\/(n*n*n**(4\/7)*n*n)*((n\/(n*n*n**0)*n)\/n)**(-19\/3)\/(n**(1\/3))**25 assuming n is positive.\nAnswer: n**(-102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) + (-3 - 1410\/(-18)). Does 44 divide i\/2*3078\/243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 962335 is divided by 160388?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -88 and 13?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67888.465 rounded to the nearest one hundred?\nAnswer: 67900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 153, 165, 193, 243, 321?\n\"Answer: q**3 + 2*q**2 - q + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11981 is divided by 125.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*l - 2*l**2 - 2*l - 7*l in the form j + u*l**2 + k*l and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -0*p - 12. Let f(s) = -5*s + p*s + s. Let y(o) be the second derivative of o**3\/6 - 3*o. What is f(y(h))?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -90007623 greater than or equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, n: 1, p: 1, r: 1, d: 1, o: 2}. What is prob of picking 1 o, 1 p, 1 r, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 5, -3\/2, -2\/813?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + -0.08. Let b = -0.2 + 0.1. Let h = -0.1 + b. Which is bigger: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 8. Let g(c) = 4*c + 12. Let y be g(-5). Determine m(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2 + 5. Suppose 8 = -5*n - 2. Let a be n\/8 + (-57)\/12. Sort r, a, -1.\nAnswer: a, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9949, -9951, -9965, -9997, -10053, -10139, -10261, -10425?\nAnswer: -10637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h - 59. Calculate the remainder when 180 is divided by n(12).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*n + 126, -38*n + 34*n - 168 = 2*u. Let a be (-121)\/55 - 1\/(-5) - -7. Sort a, 0.1, n in ascending order.\nAnswer: n, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 251.6143 to the nearest integer.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**12\/(r**(-4\/3)*r))\/(((r\/(r\/((r\/(r**(-6)\/r))\/r)))\/r*r)\/(((r**(6\/7)*r)\/r)\/r)) assuming r is positive.\nAnswer: r**(109\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, -0.3, 2 in decreasing order.\nAnswer: 2, 0.7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -13*p + 38. Give b(14).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4426 - 26555\/6. Factor 1\/2*y + b*y**4 - 1\/3 + 1\/6*y**2 - 1\/2*y**3.\nAnswer: (y - 2)*(y - 1)**2*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38227 and 36593.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 22. Let b be t(0). Let w = 6 - b. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8106 and 252058?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 66389616 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 221445.1 rounded to the nearest one hundred?\nAnswer: 221400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -188, -588, -1368, -2654, -4572, -7248?\nAnswer: -10808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 4, s: 14}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y + 321421*y**2 - 10*y.\nAnswer: 321421*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 144*b + 149*b = 19, 0 = -4*w + 4*b - 12. Solve -w*c + 6 = 3*s, -6 = 4*s - c - c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*a - 168*a - 76*a)*(-3 - 10 + 4) to g + b*a and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 139 + 4?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -0.12, 6, 5?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1806 by -6516.\nAnswer: -301\/1086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13466 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 10, -5*v + 3*a - 103 + 422 = 0. Let y = v + -53. What is the least common multiple of 24 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdydssy. What is prob of picking 1 s and 1 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 23*y + 5. Suppose o - 4 + 6 = 3*c, 5*c = -3*o + 64. What is the remainder when 87 is divided by p(o)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 320*k*s**3*y - 25*k*s*y**2 + 33*k*s + k*y**2 + 2*s**3*y**2 - 10*s**3 wrt s?\nAnswer: 1920*k*s*y + 12*s*y**2 - 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 624.4 rounded to the nearest ten?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2926, -2962, -3066, -3274, -3622, -4146, -4882?\n\"Answer: -6*u**3 + 2*u**2 - 2922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 144*r*y**3 - r*y - 8*y**3 wrt r?\nAnswer: 144*y**3 - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45\/182 - 1\/26. Sort 1\/9, d, -0.2 in decreasing order.\nAnswer: 1\/9, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (610 - 613) + (-13 - 1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9 + 12 = 2*f, -5*f + 47 = -2*v. Solve -7*g + f = -9*g + 5*a, 3*g - 12 = -a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*o**3 + 37*o**3 + 8*o**3 + (0*o + 0*o + 2*o)*(-o**2 + 0*o**2 + 2*o**2) + 2*o**3 + o**3 - 6*o**3.\nAnswer: 63*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -114, -202, -290, -378, -466, -554?\n\"Answer: -88*z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -x + p, -5*x + 0*p + p = -2. Let l(u) = -u**3 + 2*u**2 - u + 1. Let y be l(1). Let d = y + x. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2307 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -114\/5. Which is the nearest to 0.1? (a) o (b) 0.1 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -678*g - 1801 = 29387 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 31553 (base 6) to base 5\nAnswer: 114232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -91b9d9 (base 15) to base 13\nAnswer: -1585968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 82. Let c(k) be the first derivative of -k**4\/4 - 7*k**3\/3 - 5*k**2\/2 + 7*k - 3. Let t be c(u). Solve 1 = -2*a - t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**5\/30 + 13*y**4\/3 + 179*y**2. Determine s so that w(s) = 0.\nAnswer: -52, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - y - 25. Give w(10).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 58662 divided by -3259\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27655723, 27655724, 27655725, 27655726?\nAnswer: 27655727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -219*v**2 + 45*v + 312. Find the first derivative of t(g) wrt g.\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 83*y + 854. Let x be c(-12). What is the fifth smallest value in x, -2, 0.5, 0.12, 1\/22?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -23\/3 (b) 4 (c) 5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 163335 + 1155?\nAnswer: 164501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 3*f + 54 - 27, 4*f - 5*l = -5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -133787337 divided by 1\nAnswer: -133787337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c - 1118*c**2 + 156*c + 56*c - 35*c.\nAnswer: -1118*c**2 + 190*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1.01. Let c = -6.69 - -6.1. Let o = c - g. Is o at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11857*s - 23795*s + 11905*s = -3432 for s.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*c - 5*h, 0*c + c = 5*h - 14. Let u(m) = 4*m + 10. Let r be u(-7). Let x = c - r. Calculate the remainder when 14 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13*b**3 + 3*b**2 - 3*b - 122. Let o(d) = 23*d**3 - 6*d**2 + 5*d + 244. Determine -7*j(v) - 4*o(v).\nAnswer: -v**3 + 3*v**2 + v - 122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 565 - -10?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12545288849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 3. Let n(p) = -4*p - 14. Let z(o) = -o - 3. Let c(b) = n(b) - 6*z(b). What is 2*c(u) + 3*m(u)?\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/58)\/u)\/u**9 assuming u is positive.\nAnswer: u**(-579\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25170 or -19914?\nAnswer: -19914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - 1.3. Let b = f + 2. Let t = b + 0. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.046 or 0.03?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 13. Determine j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001036 to seven decimal places.\nAnswer: 0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 8*n**2 - 8*n + 1. Calculate f(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**5\/9 + 10*y**4 + 352*y**3\/3 + 968*y**2\/9.\nAnswer: 2*y**2*(y + 1)*(y + 22)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -122*g*i**3 - 4*g*i**2 - 7*i**3*p - 6*i**2*p wrt i.\nAnswer: -732*g - 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 3*g = -8*n + 18, 2*n - 4*g = 28. Let t be 21\/n*100\/70. Solve -4*x - t*q = 21, 0 = 5*x + 2*q + 15 + 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*h**2*i**2 - 2*h**2 + 2*h*i**2 + 2*h - 5*i wrt i.\nAnswer: 56*h**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, h: 1, f: 3, a: 4, v: 3, o: 3}. Give prob of sequence afv.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (67 + -99 - (2 - 11)) + 13 + -1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*h - 1. Let v = 4 + 1. Let j = v + -1. Is j at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3343\/5 greater than or equal to -670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 10*v**2 + 8*v + 23. Let j be g(-11). Let y = j - -191. Let z(t) = t**3 - 6*t**2 - 1. Give z(y).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 276.\nAnswer: -7\/276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 2*v + 390. Suppose d = -d - v. Let w = -23 - d. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 57*l - 179. What is w(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence buu when three letters picked without replacement from bbbbbbbuubbbubbbbb.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (3*707 - 2). Suppose -q = -0*v - 2*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 5*b + 170 + 266, 5*b = o - 84. What is the greatest common factor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 4 = 4*h. Suppose -3*x + 5 = -h*n, -5*x = 2*n - 7*n. Suppose n*q + 2*w + w - 355 = 0, 3*q + 3*w = 213. Does 30 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0\/(11 - 17))\/(-2) - -31237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 + -0.11. Which is the nearest to 0? (a) 2\/13 (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millennium in months?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448 and 2792.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*j - 0*j. Let u = j + 37. Solve 4*f + 29 = -3*t, -4 - u = 5*f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 213089, 426157, 639225, 852293?\n\"Answer: 213068*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*v + 4*r - 80, 3*r = -v + 12. Let i be (5 - 8)\/((-9)\/v*2). Solve y - 1 = 4*m - 9*m, -i*m - 2*y + 2 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -15*o - 305. Determine g(-36).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 2*s = k - 9*k + 3, 0 = -s + 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = -6321 + 113601. List the prime factors of b.\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*(-2 + (sqrt(153) - (sqrt(153)*1 + 3 + sqrt(153)))))**2 + (6*5*(0 + sqrt(153)))**2 + 2.\nAnswer: 480*sqrt(17) + 140552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 430693948636.81095893 + -430693950548. Let b = -1912.02904 - s. Let z = 0.84 + b. What is z rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -67*s + 41*s. Calculate the greatest common divisor of 960 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 11*d**2 - 2*d. Let f(k) = -56*k**2 + 11*k + 1. Give 2*f(n) + 11*l(n).\nAnswer: 9*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 17 (b) 6 (c) 1\/2 (d) -137 (e) 0.04 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-24)*g**(-26) assuming g is positive.\nAnswer: g**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/3 + 536*p**4 - 45438*p**3 + 267812*p**2\/3 - 44368*p = 0 for p.\nAnswer: 0, 1, 94, 708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 17.4.\nAnswer: -104.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 9*r - 23)*((-r - 6*r + 4*r)*(-r - 4*r + 4*r)*(3*r - 3*r + 2*r) + 2*r**3 + 6*r**3 - 7*r**3 + (-1 + 1 + r**2)*(-2 + 2 + 2*r)).\nAnswer: -81*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2035 and 137233?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60489378 and 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -28, -83, -146, -211, -272, -323?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 18 - 9. Calculate the least common multiple of v and 184.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.022196 in -2, -5, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/11, -4, 8, -2, 0.06?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -110010111001 (base 2) to base 11\nAnswer: -24a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64*a**3 - 510 + 1031 - 522 + (a**2 - 2*a**2 - a**2)*(0*a + 0*a - 2*a).\nAnswer: 68*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzjuffgmjjgggf. What is prob of picking 1 f and 1 z?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0933297um to nanometers.\nAnswer: 93.3297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53\/192057 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2 + 508*i + 32258 = 0 for i.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from biblliilibbb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cppcvvccvccpv. What is prob of picking 3 v?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*i + 5 = 0, -3*b + 5*i + 1 = -0*b. Let r = 25 - 13. Suppose -7*d + 10*d = r. Solve -b*s - d = -0*s + 3*f, 0 = 2*f - 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 25*w + 136. What is the remainder when 119 is divided by z(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382729954 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/273060 and -119\/40590.\nAnswer: 3003660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 10*a + 10. Let v be (-2)\/1*-4 + -4. List the prime factors of r(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3207567710 divided by -5.\nAnswer: 641513542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 1491 = -4*k - 1520, -3*m - 4 = -k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*w - 219 = -83, 3*w - 258 = 2*t. Suppose -2*o = -o - 227. Let n = t + o. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1584)*2 + -2)**2.\nAnswer: 96*sqrt(11) + 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -156.580045642 - -156.58. What is i rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/65 + 2\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s - 4333 = 17*s. Let g be (-2 - -1)\/(3 + -2)*s. What is g rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**2 + 325*d - 435. What is m(109)?\nAnswer: -653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 244*g - 7. Let x(o) = 242*o - 5. Calculate -3*c(m) + 4*x(m).\nAnswer: 236*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5999981 - -3.6. What is i rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 598068780*b**3 + 21551844*b wrt b.\nAnswer: 3588412680*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 21*k - 446. Let u be q(21). Let t(p) be the third derivative of -p**6\/120 - p**5\/15 + p**4\/6 + p**3\/6 + 2*p**2. What is t(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -5*x**3 + 17*x**2\/2 - 26. What is the second derivative of o(k) wrt k?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5\/2 - 57*v**4 - 201*v**3 + 120*v**2 + 1197*v\/2 - 459 = 0. Calculate v.\nAnswer: -34, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*v + 58*v + 35*v + 18 + 19*v**3.\nAnswer: 19*v**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**3 + 2*j**2 - j. Let f(k) = k**3 + k**2 + k. Determine 2*f(z) - q(z).\nAnswer: -2*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 30*p = -69 + 78, -3*r + 4*p + 1 - 4 = -0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 10*o + o)*(1 - 2*o - 1)*(-3 + 0 - 2).\nAnswer: 70*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38588 and 94.\nAnswer: 1813636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -25, -16, 0, -2, 1 in ascending order.\nAnswer: -25, -16, -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 3\/(-18)*-10\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n**2 + 4*n + 2. Calculate q(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.96736 rounded to 2 dps?\nAnswer: -8.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*c**3 - 4*c**2*k**2 + 3085*c**2 - 83*c*k**2 + 5*c*k + c - 3*k**2 - k + 75 wrt c.\nAnswer: -318*c - 8*k**2 + 6170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q. Let b(m) = 3*m. What is -3*b(i) - 8*s(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 8.5.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1007467027 to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 33 = -5*z + 829, 0 = 2*z + 4*p - 304. Sort 2, z, -2, -3.\nAnswer: -3, -2, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -133*v + 134*v - 3, 12*v = 2*l + 2*l + 4*v - 22 + 86 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 272*n - 263*n**2 + 262*n**2 + 2*n**3 - 256*n as g*n**2 + l + x*n + b*n**3 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 10*v - 3. Let m be l(-3). Suppose -4*t = 3*g + m, -g + t = -3*g - 12. Let a be (8\/g + 2)*(-45)\/1965. Are a and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -58.8. Let j = d + 6. Put j, -1\/2, -2\/13 in descending order.\nAnswer: j, -2\/13, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -39*d - 244. Let z(y) = -312*y - 1911. What is -39*q(j) + 5*z(j)?\nAnswer: -39*j - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 80\/(-12)*(-3)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1954 + -11?\nAnswer: 1943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-2 - -4)*((-5)\/4 - (-984852)\/144)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsqb when four letters picked without replacement from bqtssbittthqt.\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/16 and -49\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/50*(917\/105 - 9)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-12)\/9*-6. Let n be (-4)\/6*30\/o. Factor -3*c**4 - 2*c**4 + 4*c**3 - 2*c**2 + c**n + 2*c**4.\nAnswer: -2*c**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**3 - 133*s**2\/2 + 93*s + 158. Let y be p(-45). What is g in 2\/3*g**2 - 4\/3*g + 0 + 4\/3*g**y - 2\/3*g**4 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -65, -250, -613, -1214, -2113, -3370, -5045?\nAnswer: -7198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 713 and 64511?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*g - 50 = 33*g + q, 3*q + 90 = -10*g + 3*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1068, -7, -5, -1, 25.\nAnswer: -1068, -7, -5, -1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20874 + 20338.99. What is h rounded to 0 dps?\nAnswer: -535","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6222788 a multiple of 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*u + 60, -4*y + 9*y = -4*u + 256. What is the highest common divisor of 216 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -6. Suppose b = -k + 2*j + 5, -3*k + 5*j = -11 - 2. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/6*-4)\/(3231\/5385).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - r = 0, -s + 0*r + r + 10 = 0. Suppose -4*y = -3*o + 2, 1 = 2*o - s*y + 2. Solve 8 = -5*i - o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61*-1.1907\nAnswer: 72.6327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-209) - (-7)\/55*-8.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-6))\/((-6)\/45). Sort 5, 0, b.\nAnswer: b, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 4:25 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -737*q - 1. Let m be d(-1). Suppose -5*j - 306 + m = 0. What is j rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -632623864547 minus 4?\nAnswer: -632623864551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/(-6)*736455\/(-60) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75\/1063 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c - 2486. Let t(p) = -p. Calculate k(t(f)).\nAnswer: -3*f - 2486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 5, 9, -3 in decreasing order.\nAnswer: 9, 5, 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7295 divided by 6974.\nAnswer: 7295\/6974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -919941252.0890026 + 980018849.28901. Let q = 60077604 - o. Let p = q - 6.8. What is p rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (430\/(-6) - (-36)\/(-108))*((-57)\/(-76) + 0)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1128*l**4 + 2*l**3 - 684*l**2 + 10*l - 1 wrt l?\nAnswer: 27072*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*(sqrt(7) + 3) + 5 + (sqrt(343) - ((sqrt(343) - sqrt(343)*3 - sqrt(343)) + sqrt(343))**2*6))*-6.\nAnswer: -30*sqrt(7) + 49399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8365695 divided by 5.\nAnswer: -1673139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9662)\/(-710157)*3\/(-2).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n + 48 = 14*n. Put n, -4, 56 in ascending order.\nAnswer: n, -4, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -13*q - 88. Let k be d(-8). Suppose -18*p + k*p = -8. Suppose s + 3 = 2*s. Sort s, 6, -3, p in decreasing order.\nAnswer: 6, p, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 458 and 30080066.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/7 (b) 2 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 - (-12 + 20) - -24\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.01, 5, 0.1, 109, 0.4, 63?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294871893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -94 (b) 0.2 (c) 3\/11 (d) -2 (e) -229\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*m = 10, 0 = 14*r - 16*r - m + 11. Suppose 2 + r = 6*p. Sort 3, p, -67.\nAnswer: -67, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7706 is divided by 289.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 1\/(-9))\/(12\/(-72)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 1. Let q(k) = -3*k + 2. Let l(n) = 3*q(n) + 5*w(n). Let j(f) = -f. Calculate -5*j(d) + l(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*c - 75*c - 70*c)*(-8 + 2 + 1).\nAnswer: 525*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 36. Suppose 43 = 3*j - r*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**3 + 31*y**2 + 34*y + 252. What is d(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 5*r**4 + r**4 - 3*r**4)*(-3 - 1 + 6)*(3 - 2 - 3).\nAnswer: -12*r**4 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**6\/120 + t**5\/10 - t**3 + t**2. Let b = 58 + -48. Let r be -12 + b + 2*-2. Determine f(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 383310 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.012 - -0.212. Which is the nearest to r? (a) 0.3 (b) -1 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/9*(1989\/91)\/(-17). Let j = 0.1 + 0. What is the nearest to r in 2\/5, j, -0.6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 13 = -3*v, -f + 20*v = -879 + 960 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2131703 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1669041050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-29)*j*j*j\/j**(-8) assuming j is positive.\nAnswer: j**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z - 24. Suppose -2*v = 6, -2*k + 5*v = 3*v - 16. Let m be j(k). Solve -l - 17 = -5*h, l = m - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from nhhnhhihe.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1396882 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 - 72.6. Round q to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 3, 10, -3, 4 in decreasing order.\nAnswer: 63, 10, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6051.552 millilitres?\nAnswer: 6.051552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i. Let p(t) be the first derivative of 43*t**3\/3 - t - 19. Determine r(p(c)).\nAnswer: -86*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12\/5*z + 2\/5*z**2 + 0 = 0 for z.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 33*h**3 + 5*h**2 + h - 2. Calculate o(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 135\/20 - (-1)\/4. Let j(k) = 14 + 1 - 3 + 30 - 860*k + 907*k. Is j(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 3, c: 2, s: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 - -94. Let m be (-3 + q + 5)*(1 + -1). Solve -3*b + 9 + 3 = m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4889 - 4889. What is the fourth smallest value in -1\/5, -0.3, -2, -3, g?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 + 292*h**3 - 5464*h**2 + 4608*h + 10368.\nAnswer: -4*(h - 36)**2*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/5 - 2\/5. Suppose z = -a - 3*a. Round a to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 4*y - 432 + 440, -3*y - 2*a = -14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-11))**(-47))**2 assuming v is positive.\nAnswer: v**1034","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 212 - 2*o - 108 - 103 as r*o + q*o**2 + v*o**3 + t and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q + 1. Let j be 30 + -1 + 4 + -3. Suppose 10 - j = 4*t. Let x(h) = -2*h. Give t*x(y) + 2*p(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l - 48. Give o(-9).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50903*a**3 + 8 + 19778*a**3 - 8.\nAnswer: -31125*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 36 = 4*x, 5*x - 2*w - 20 = 34. Suppose 5*r - x = -0. Is 1 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 5168?\nAnswer: 36176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/11 (b) 1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23704 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 63844 - 97508 = 0. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 2*q = -459. Suppose 9537 = q*p + 2652. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14078877.\nAnswer: 3, 4692959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1205377, -1205378, -1205379, -1205380, -1205381?\n\"Answer: -m - 1205376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 70 + 225. Suppose -5*i - q + 3*q - w = 0, q + 17 = -4*i. What is the units digit of (0 - -1)*(i - -23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k**(-6\/13)*k)*k*k)*k*k*k**23*(k\/(k*k**(-15)))\/k**(-2\/75) assuming k is positive.\nAnswer: k**(37601\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*17\/136*(-14)\/(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5\/3 - 2728*h**4\/3 + 564135*h**3 + 77973834*h**2 + 151980516*h - 230517576 = 0 for h.\nAnswer: -114, -3, 1, 1422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z**2 + 0*z**2 + 143 - 143.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246 = -4*j + 3*q - 237 + 506, q + 29 = 4*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 234475963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -3\/14, 5\/7, 1 in decreasing order.\nAnswer: 1, 5\/7, -3\/14, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**2\/2 - 14*b + 153. Let c be j(-17). Solve -6*a + 5*a = c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c\/c**15))*c*c**(2\/39) assuming c is positive.\nAnswer: c**(-505\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 9:09 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(204) - (1*sqrt(204) + sqrt(204) + sqrt(204))) + sqrt(204))*-1 - -2*sqrt(204)*-2)\/(sqrt(60)\/(sqrt(1715)\/sqrt(7))))**2.\nAnswer: 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/23 less than 176469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/(-20))\/(2*(-2)\/(-20)). Sort c, 2\/3, 2\/9, 3 in descending order.\nAnswer: 3, 2\/3, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2005*t + 1945*t - 1080 = 0 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/11))**(6\/17))**(-9) assuming y is positive.\nAnswer: y**(-108\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 63 = 15. Suppose 0 = -y + 6 + 7. Calculate the highest common factor of l and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99325 rounded to the nearest 1000?\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {g: 3, e: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -527 by -355.\nAnswer: 527\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 230855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28a953 + -625?\nAnswer: 28a329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 317371*j**3*l**4 + 70*j**3*l**2 - 214*j**3*l + 1764*j**2*l - 5 wrt l.\nAnswer: 3808452*j**3*l**2 + 140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 a when three letters picked without replacement from ajaijajjiataia?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22893 - -34562. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/558305 and -29\/253775?\nAnswer: 2791525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 11. Let f be g(0). Let a = 91 + -47. Suppose -9*c = -13*c + a. What is the highest common divisor of f and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 14*o**2 + 12*o - 10. Let i be h(-13). Which is the closest to 1\/3? (a) -1 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2*p + 49 - 50 = 0, -2*z + 22 = -4*p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.69806 litres in millilitres?\nAnswer: 40698.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**5\/20 + 113*c**4\/24 + 19*c**3\/3 + 2800*c**2. What is m(38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 + 9*d - 329. Let m(j) = -j**2 - 4*j + 164. Let k(z) = 3*f(z) + 7*m(z). Is k(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 53410?\nAnswer: 53403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 133 = -9*s. Suppose s = 6*m - 11. What is the remainder when 47 is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 - 9*u**2 + 2. Suppose -b + 6 = -0*b. Let v be o(b). What is the highest common divisor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4965828 or -4965826?\nAnswer: -4965826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 b, and 1 d when three letters picked without replacement from {d: 8, z: 1, n: 3, m: 5, b: 1, t: 2}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 6:41 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 187 - 98. Suppose 271 + r = -4*d. Let f be (-2*1)\/(20\/d). What is the highest common divisor of f and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4382)\/(-7))\/((-39)\/6 - 0) - 6068\/(-19721).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 389*d + 2299 + 1980 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6079 less than -30.463?\nAnswer: 6048.537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1696 is divided by 154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -14. Let k(w) = w**2 + 13*w - 17. Let p be k(-14). Let h = p + a. Solve h + 3 = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 30 = -5*d, 15 = 2*d - 0*b + 3*b. Let v be 2\/3 - (-7)\/(-6). Let h = -150 - -449\/3. What is the nearest to 1 in v, d, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5090614 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -579 - 64?\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s - 20 = 0. What are the prime factors of (-100)\/(-6) - s\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(85)*5*-4)\/((-5*sqrt(75)\/sqrt(3) + sqrt(25))\/(2*sqrt(5)*-2)).\nAnswer: -120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*((3*sqrt(40)\/sqrt(2))\/(sqrt(120)\/sqrt(108)) + -5)**2*-1.\nAnswer: -2160*sqrt(2) + 4488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -1034.8 - -1035. Let f = -15 - -13. Which is the second biggest value? (a) u (b) 168 (c) f (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.1 and 3?\nAnswer: -39.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1674.917 micrograms?\nAnswer: 1674917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + 154*(-25)\/(-2450).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -11*(8 - -2)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*q**3 - 175*q**3 - 264*q**3.\nAnswer: -149*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 60. Suppose -k - f + 92 = 0. Suppose -5*q = 2*n - 43, -k = -5*n - 2*q - q. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 2*l**2 - 2*l - 3. What is t(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 191 + -186. Suppose -k*f - 56 = 24*w - 27*w, 4*w + 4*f = 96. Calculate the lowest common multiple of 16 and w.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -26. What is the least common multiple of (24\/j)\/((-26)\/(-12) - 2) and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423824 is divided by 2971?\nAnswer: 1942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 10*d**2 + 1. Let t be n(10). Let x(i) = -4*i**3 + 1. What is x(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 8*z + 4*z = -19, 4*z + 8 = 4*n. Suppose -2*l - 4*w = 62, l + 124 = -3*l + w. Let p = l - -35. Which is greater: p or n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 7\/26 (b) 12 (c) 4.66 (d) 2\/9 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, -0.4, 0.148, 0.5.\nAnswer: -13, -5, -0.4, 0.148, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9*l**2. Let z = 93 + -60. Let p(w) = -w**2 - 2. Let t(j) = -6*j**2 - 11. Let a(q) = z*p(q) - 6*t(q). Determine a(g(s)).\nAnswer: 243*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 34*k**2 - 548*k + 193. Give d(-46).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 163, 452, 875, 1432, 2123, 2948?\nAnswer: 3907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0143736 - 0.01538. Round v to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114044 (base 6) to base 3\nAnswer: -111200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*m + 85, -5*y + 3*m + 16 = -124. Suppose -5*u + 80 = y. What is the remainder when u is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v - 4*z = -66, -60*z = -5*v - 65*z - 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpgggggpgggppggggg. What is prob of picking 1 p and 1 g?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 5*s**2 - 15*s - 18. Let u be o(-6). Let d(q) = 42*q**2 - 67*q**2 + u*q**2. Let g(b) = 2*b**2. What is g(d(x))?\nAnswer: 242*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 6 + -1 + 20046\/(-2226). Which is greater: -1.3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*b**3 - 8*b**3 + 9*b**3 + (0*b + 2*b + 0*b)*(2 - 2 + 2*b**2).\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.013 and -0.2?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 991248837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -7. Suppose -h + 4 = -j. Suppose -h*x - 20 = -2*l - 0, 3*l - 15 = x. Let r(k) = -k**2 + 5*k - 6. Calculate r(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2855968, 2855972, 2855980, 2855992, 2856008?\nAnswer: 2856028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 b when four letters picked without replacement from {g: 5, b: 2, t: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -78 - 21*p + 78 in the form g + j*p and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 31*c**4 - 14*c**5 + c**4 + 65*c**3 + 7*c**2 + 21*c**2 + 25*c**3 = 0. Calculate c.\nAnswer: -1, 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40bb42 (base 12) to base 7\nAnswer: 11431004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 11*h = 12. Suppose -5 + h = p. Let c = 23 + p. Solve 2*t - o = 1, 2*t + c = -3*t - 4*o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32035 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 -47*d + 59*d = 43692. Let n = d + -1911. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1696?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 8:58 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 15*h**3 - h**2 - 12*h - 18. Give z(2).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from milpq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 743834 (base 11) to base 10.\nAnswer: 1190919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 2*r + 3. Let u be l(0). Solve -3*j + 9 = -5*t, j = 8*t - u*t + 13 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -10*i**2 + 10 - 12*i**2 - 73*i - 25 - 5*i**2 - 89*i. What is y(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05072417655 rounded to five decimal places?\nAnswer: -0.05072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-3\/7))\/((d**(4\/5)\/d)\/d)*(d**1*d)\/((d\/(d\/(d**(-1\/3)*d*d)*d))\/d) assuming d is positive.\nAnswer: d**(521\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwzwz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 109 = -q + 8*m, 5*m = -3*q + 330. Let g = 51 - 129. Let s = g + q. What is the remainder when s is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/(-126) - (-56)\/159. Is c >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 6480.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*n**3 - 3585*n**2 + 2391*n\/4.\nAnswer: -3*n*(2*n + 797)*(6*n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**7\/11340 + w**5\/540 - w**4\/8 - 2*w**2. Let p(u) be the second derivative of z(u). Factor p(d).\nAnswer: -2*(d - 1)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 2, 3, 88, 13791?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5766?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 803, -0.3, 16?\nAnswer: 803","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 0.07, 1\/9, -2\/1653?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8022625, 8022626, 8022627?\n\"Answer: v + 8022624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5599)\/(-19342))\/(-1 + -10)\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 157?\nAnswer: 156.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23092 to two dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5878615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 232 - 2145?\nAnswer: -1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -768 or -769?\nAnswer: -769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 3*k - 6, 7*u - 6*u = -4*k + 7. Let v(t) = 11*t**2 - t - 25*t**2 - u + 15*t**2. Calculate v(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/507165 and 119\/90.\nAnswer: 3042990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 70, 55, 40, 25?\n\"Answer: -15*o + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -3*d + 18*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30069 is divided by 1499?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiqimmmammmq. Give prob of sequence ii.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 1. Let j(y) = -7*y + 2. What is -j(z) + 3*n(z)?\nAnswer: 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13545778 and -0.3?\nAnswer: 13545778.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, k: 10}. What is prob of sequence kn?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**2*w**3 - f**2*w**2 - 3*f**2*w - 5*f*w**6 + f wrt w?\nAnswer: 12*f**2 - 600*f*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(270))\/(sqrt(12) + sqrt(48)))\/(2*3*sqrt(5) + -3*(sqrt(15)\/sqrt(3) + sqrt(5) + sqrt(5))).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 1:43 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 3*a + 3. Let n be v(-4). Let i = 1.4933 - 1.8933. What is the second biggest value in 0, i, -9, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**3 - x**2 + x - 9. Let q(p) = -7*p**3 + 2*p**2 - p + 10. Let n(d) = -5*q(d) - 6*r(d). Let f be n(-3). Is -33*((-12)\/(-9) + f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 1299*r + 50310.\nAnswer: 3*(r - 390)*(r - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*14\/(18*10\/45)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006103393 to seven decimal places.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -47 + 2 + -4 + -2. Let m be (-311)\/6 + (-8)\/12. Let b = m - h. What is the nearest to b in -0.2, 3, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10687560.\nAnswer: 2, 3, 5, 13, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 + 502*u + 19981. What is f(-102)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125 and 22865125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**5\/60 - p**4\/24 - p**2 + 13*p. Let f(s) be the first derivative of a(s). Let f(k) = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 182 + -232 - (-6000)\/90?\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 404 - 306.4. Let d = w - 105.71. What is d rounded to one decimal place?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5}. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-144)\/12)\/((-84)\/7))\/((-2)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7404 - 3994. Round p to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (130\/65*(-2)\/4)\/(1\/(-3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 0. Let b = r + -6. Solve -b*s = -s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/(-45))\/(441\/3402)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0*v + 15\/8*v**4 + 1\/20*v**5 - 52*v**2 + 0 + 22*v**3. Factor s(f).\nAnswer: 3*(f + 4)*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1946200 to the nearest ten thousand.\nAnswer: -1950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3057473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -15*x + 11*x. Solve 0 = v - 3, 2 = -l + 3*v - x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*z - 81 = -625 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 - -76. Solve -6*z - u*z = 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 26*s**3 + 24*s**2 + 159*s + 8. Let r(v) = -6*v**3 - 5*v**2 - 40*v - 2. Give 2*p(c) + 9*r(c).\nAnswer: -2*c**3 + 3*c**2 - 42*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -i + 5*b, 0*i + 40 = 5*i - 2*b. Suppose -3 = -x - 1, 36 = 5*w + 3*x. What is the lowest common multiple of w and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*n**2*w - 237*n**2 + 2*w**3 wrt w?\nAnswer: -12*n**2 + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 447462, 894937, 1342412?\n\"Answer: 447475*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 921 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*w + 5*w - 281, 2*k + 220 = 4*w. Calculate the remainder when 155 is divided by w.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j + 3 = 5*s + 19*j, 0 = 5*j - 40. Put 1, s, 84, -5, 3 in ascending order.\nAnswer: -5, 1, 3, s, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iixxiixiiixiiqxiixi. Give prob of picking 1 q and 3 i.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 0*f**3 - 5*f**3)*(3*f - f - f) + 2*f**4 - f**2 + f**2 + 3*f**4 - 18*f**3 + 10*f**3 - 9*f**4.\nAnswer: -8*f**4 - 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 + 3*u**2 - 3. Determine c(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2939\/17 + 173. Let b = -2381 - -2495.1. Let o = b + -114. What is the nearest to -3 in -1\/3, o, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52 + (-251944)\/4844)*1?\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 11:06 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 0*x + 0 + 19\/60*x**5 + 7\/24*x**4 - 2\/105*x**7 - 44*x**2 + 1\/24*x**6 - 1\/2*x**3. Factor d(j).\nAnswer: -(j - 3)*(j + 1)**2*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 89, 113, 159, 233, 341, 489, 683?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpx when three letters picked without replacement from {z: 2, j: 12, p: 2, x: 4}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 8 = 2*o + 5, -3*u - 6 = -5*o. Let z be (-14)\/u + -2 + 4. Let i = -108 + 136. Calculate the greatest common divisor of i and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*g*s**3*w - 5358*g*s**2*w + 111*s**3*w + 3*s**3 + 20*w with respect to g.\nAnswer: 18*s**3*w - 5358*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*o = -3*m + 202*o - 72, -21*m = 3*o + 24 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -959*h - 156. Let x be f(-9). Calculate the greatest common divisor of 25 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkmvksmvd. What is prob of sequence kd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*n + 58*n + 154 = 0. Sort -2, 4, n, -7.\nAnswer: n, -7, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 4*h - 36. Let x be l(15). Let n = -765 - x. Let g = n - -678. What are the prime factors of g?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 20 = 2*m. Let r be (-1)\/(-1)*9*m. Let f(c) = -8*c. Let a be f(-3). What is the highest common factor of r and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*c + 59 = -0*d, 0 = -2*c + 2. Suppose -4*u = -3*a + 546, 3*a = -286*u + 284*u + 528. Let g = a - d. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 4:50 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -108*l - 206 + 43*l + 53*l. Let f be i(-17). Let z(o) = -o**2 + o + 2. Let s(x) = -2*x**2 + x + 3. Calculate f*s(h) + 3*z(h).\nAnswer: h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493307 is divided by 8361.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -263.8 and -4.\nAnswer: 1055.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 297?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29\/110 + 3\/22. Let n be 1 + 1 + 7\/(-4). What is the nearest to 2 in f, -4, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -610, -786, -1084, -1504, -2046, -2710, -3496?\n\"Answer: -61*k**2 + 7*k - 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -166876 divided by -6?\nAnswer: 83438\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 53. Suppose 4*w = 3*w + r. Suppose w = 6*t - 3. Solve 4*f = t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*l + 54 + 24 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t = 2*i - 42, 27 = -3*i. Solve t*w = 114*w - 108 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -245, -659, -1409, -2603?\nAnswer: -4349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*h + 25 = 0, b = 2*b - 4*h + 1. Let m = b + -5. Suppose m*u - 3*u = -2. What is the greatest common factor of u and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/1349997 and -91\/736362.\nAnswer: 8099982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (5*(sqrt(700) + -1) - ((sqrt(700) - 2*sqrt(700)*3) + sqrt(700) - sqrt(700)) - (1 + 5*(-2 + sqrt(700)))) + -5)**2.\nAnswer: -100*sqrt(7) + 17501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -153 - -220. What is the remainder when k is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4983940011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6784 = 660*u - 1508*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(2080\/(-128)))\/(-1*(-186)\/(-15))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186 by -1.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5662.07 rounded to the nearest 100?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 6)\/(-1) + 3. Suppose 3*i + p - 77 = j, 26 = 2*i - 5*p - 31. Suppose 0 = 3*z + 2*v - 19, -4*v = -z + i - 1. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**3\/6 - 17*t**2. Let c(v) = 2*v - 5. Give c(m) - 3*x(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or -385\/3?\nAnswer: -385\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 1. Let s be v(-3). Suppose -2*t + s*t + 4*r + 86 = 0, 2*r - 169 = 3*t. Is t\/(1\/(-1 + 0)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7*((((s\/(s**(-7)*s))\/s*s)\/s)\/s)\/s)\/((s*s\/(s*s**6))\/(s**(-1\/3)*s))*(s**0)**(-32\/5)\/(s**(-7)\/(s*s*s**(3\/10))) assuming s is positive.\nAnswer: s**(779\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 300*d - 297*d + 2*h, 3*d = -8*h - 8 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 216483931 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -3.79\nAnswer: -11.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 43155 (base 9) to base 15\nAnswer: 86e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z - 9. Let i be b(-7). Suppose 4*s = -i*a + 257, -3*a + 102 = 4*s - 49. What is the remainder when a is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 10. Let h be t(0). Let y = h + -3. Solve 5*m - y = -a, 4*a + 6 = 6*a + 2*m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*u**4 - 15*u - 3*u**4 - u**4 + 19*u - 133 with respect to u.\nAnswer: -4*u**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 280a6 + 3?\nAnswer: 280a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 3*l**2 + 2*l + 4. Let d be t(2). Let n be ((-6)\/d)\/(-3)*24 - -1. Which is the closest to n? (a) 2\/7 (b) 3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.999278975 to 2 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/18)\/((-4)\/(-24))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(45\/87) + (-3)\/(-9). Suppose k + r*k = 22. Let l = -19 + 14. Sort l, k, 0, 4 in ascending order.\nAnswer: l, 0, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 97*b**2. Let x(l) = 3*l. Let t(s) = -43*s**2 + 171*s + 8. Let u be t(4). Let i(f) = -f + 2*f + 0*f. Let v(w) = u*x(w) - 11*i(w). Calculate v(a(o)).\nAnswer: 97*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -x + 1, x + 3*x - 18 = -2*o. Solve -t = -2*t - x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 24511*j + 5*j**2 - 24511*j. Let x(q) = -q**2. Calculate -6*u(v) - 22*x(v).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 34 = 4*v + 2, 4*v = 2*o + 12. Solve 10 = -v*w, 0 = -2*p - w + 5*w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020048 rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089 is divided by 151.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -220982, -220966, -220950, -220934, -220918?\n\"Answer: 16*g - 220998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 - 165.43796053218?\nAnswer: -164.63796053218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 43*n - 39*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 11:27 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 11*x**2 - 12*x + 3. Let w be i(12). Solve -s = w*s, 4*v = -s - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -13. Suppose 2*g - 31 = -5*n, 4*g + y + 3 = 0. Calculate the greatest common divisor of 21 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-595)\/((-8687595)\/(-628)))\/(2*(-1*2)\/6)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30036450 is divided by 1657?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-7)\/(-4) + (-4862)\/(-1144)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16719, -16421, -16105, -15771, -15419, -15049, -14661?\n\"Answer: 9*m**2 + 271*m - 16999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrr when three letters picked without replacement from rrlhnhnhlrhhh?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 10. Factor 56*h**4 - 56*h**4 + p*h**5 - 2*h**3.\nAnswer: 2*h**3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 606012*d. Let r(c) = -5*c. Give r(z(g)).\nAnswer: -3030060*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.5 + -8. Let t = -15 - -23.2. Let z = j - t. What is z rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 76c + 1b?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1451550 take away 0.2?\nAnswer: -1451550.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 3. Let g = -4 - i. Solve 2*j - 4*j - 10 = g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**4\/4 + 26*x**3\/3 + 35*x**2\/2 - 26*x + 26. Let j be p(-24). Suppose j = 8*d - 6*d. What are the prime factors of d?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -607\/3 - -3038\/15. What is the second smallest value in v, 1\/9, -9\/4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -498032*h*p**3 + 238*h*p - 3*p**2 - 31*p wrt p?\nAnswer: -2988192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 7 + 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**2 + 1. Let h(s) = 2*s**2 + 8*s + 8. Let r(f) = -f - 1. Let w(d) = h(d) + 8*r(d). Determine w(p(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 234139*u + 112*u**2 + 234139*u - u**3 + (-3 + u**3 + 3)*(-48 + 7 + 3).\nAnswer: -39*u**3 + 112*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -1. Suppose 31 = -3*g - 3*s + 112, y*s = -3*g + 79. Let k = 109 + -55. What is the remainder when k is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 31807, 31868, 31959, 32080, 32231, 32412, 32623?\n\"Answer: 15*m**2 + 16*m + 31776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -189882, -759559, -1709030, -3038295, -4747354, -6836207, -9304854?\n\"Answer: -189897*v**2 + 14*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1132, 2239, 3346, 4453, 5560?\n\"Answer: 1107*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.134 and 10?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 6. Let w = d + -1.008. What is w rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-2 + -2 - 2*sqrt(3)*1.\nAnswer: -4*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -38561000 to the nearest 1000000.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.303298 times -2131?\nAnswer: 646.328038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1.9, -5, 0.3 in increasing order.\nAnswer: -10, -5, 0.3, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2210 and 5564?\nAnswer: 472940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*z + 320 = -2*q, 0 = 4*q - z - 604. Suppose 52 = 4*d - q. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-12) + (-20)\/(-30). Let w = 24 + -23. Which is the third biggest value? (a) i (b) w (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93814, -189878, -285942?\nAnswer: -382006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -83 (b) 2 (c) -1 (d) -915\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*o + 3*x - 16, -4*o + 20 = 4*x. Suppose -r - 4*d = -10, -4*r - o*d - d = -7. Let f be 3\/(-12)*(-21 + r). Which is greater: 6 or f?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 21*d**2 + d + 16. Let c(z) = 4*z**2 + 3. Calculate -2*b(l) + 11*c(l).\nAnswer: 2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17317.81748 - -17187.8174737. Let q = 130 + i. Round q to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g - 1. Give l(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, r: 7, j: 4, z: 1}. Give prob of picking 4 r.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 13*z - 74. Let q be v(6). Suppose q*k + 4*x = x + 11, 4*x - 4 = 0. Solve -22*f - k = -20*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -40*f + 30. Let q be x(-3). Suppose -7*u + q = -4*u. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -j - 9, j + 3*x - 448 = -432 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*l = 289, 0*a - 2*a + 4*l = -112. Let h = -271\/4 + a. Let w be 20\/(-40)*0\/1. Which is bigger: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*(37 - 37 - 19*g + (2 - 1 - 3)*(-5*g + 3*g + 3*g)) to the form q + b*g and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52512 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/55 and -13\/215.\nAnswer: 2365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 4:38 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -265*o**2 + 132*o + 5. Let r(i) = -309*i**2 + 153*i + 6. Let q(p) = 7*a(p) - 6*r(p). Suppose 1 = m - 6. Calculate q(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1244, 238, 0, -8 in decreasing order.\nAnswer: 1244, 238, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2716 a factor of 31676708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.2 + 5. Let l = p + 4. Let w = -0.2 - -4.2. Which is the second biggest value? (a) w (b) 2\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/10))\/(x**(-1)\/x)*x**(1\/2)*(x*x**(-2))\/x assuming x is positive.\nAnswer: x**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 292 and -85325.\nAnswer: -85033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 1017 + 759. Let s = c - -300. Solve 9 = -k - s*j, -k + 4*j = j - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -2*p**6\/15 + 7*p**5\/60 + p**3 - 79*p**2. Let q(d) = -5*d**3 + 2*d**2 + 2. Let w = -8 - -6. Give w*r(t) + 7*q(t).\nAnswer: -3*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p - 5*h + 40, 4*h - 38 = -5*p. Suppose 5*z - 3 = 27. Let c(u) = 0 + u**2 + 4 - u - 1 - z*u. Give c(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1 + 14*g - 4 - 133*g**2 + 132*g**2 + 1. Let w be i(14). Suppose n - 4*h = -12, -h + 6 = n - 2*n. Sort n, -5, 1, w in decreasing order.\nAnswer: 1, w, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233 (base 8) in base 4?\nAnswer: 102123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.111164002\nAnswer: 0.333492006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**4\/21 + 4*v**3\/21 - 16*v**2\/7 + 255*v. Suppose f(t) = 0. What is t?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -7 + 27 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - 2) + (-75 - -68)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 297493 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 760450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 21*t**2. Let n(f) = f - 67. Determine n(m(k)).\nAnswer: 21*k**2 - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 526\/381 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -2, 8, 56, 160, 338, 608?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 + 3*f**2 + f**2 to the form x + n*f + a*f**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqgohhhohhhqhg. What is prob of sequence oqhq?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01342 rounded to 4 decimal places?\nAnswer: -0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsll when four letters picked without replacement from nuummtnmslmssnnnlnls.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-72))\/(6\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 43611.3?\nAnswer: -43611.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -14, -890082 in decreasing order.\nAnswer: -0.4, -14, -890082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359734812 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3896 or 14440?\nAnswer: -3896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 2:00 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2500\/(-25)*(-4)\/30)\/((-430)\/645)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 7*m + 8. Let t(c) = -c**2 + 7*c - 9. Let p(d) = -3*i(d) - 2*t(d). Let u be p(5). Solve -1 = 2*k - g - 2*g, u*g = 5*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 16. Let n be g(-14). Suppose 2*b + 2*t = 4, -2*t = 4*b - 1 - 9. Suppose -n*f - 4*d + 10 = -2*d, -23 = -5*f - b*d. Solve -20 = -f*p - p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (215 - 230 - (-2 - -8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7189905 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbzbzbbbbbdddbbddbbb. Give prob of sequence zz.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*m, -m - 3*m - 24 = -u. Let j(i) = -4*i**2 + i**3 - 2*i + u - 2*i**3 - i + 2*i. Let x be j(-3). Sort 4, x, -5.\nAnswer: -5, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 118.77 + -239.965. Let u = z - -0.195. Which is the second smallest value? (a) u (b) -1\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/55 bigger than 49107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1 = 4*k + 2, 5*k = -5*w + 5. Suppose 4*c = w*r - 1 - 147, -62 = -2*r + 3*c. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 18, 11, -12, -57?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -137, -443, -1039, -2021, -3485, -5527?\nAnswer: -8243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -81.25628 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 15*v + 4. Let g be j(-16). Let c(p) = 250*p**3 + 15*p**2 + 13*p - 4. Let w be c(g). What is w rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 47*i**2\/2 + 21*i + 81. What is the tens digit of a(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 89c47?\nAnswer: -89c42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -6251\/20704 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 30 = 5*h, 5*h = -b - 4*b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 12 = -j - 1, -24 = -4*j + 2*s. Suppose -5 - j = -3*g. Suppose g*m + 8 = 5*m. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2 - k**2 + 13*k**3 + 6*k**2 + 12. Let a(l) = 3*l**3 + 2*l**2 + 3. Let w(r) = -9*a(r) + 2*p(r). What is the derivative of w(u) wrt u?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*i + 5, 0*i + 14 = 5*h - 4*i. Let r(v) = -h*v + 59 + 84 - v**2 + v. Let s be r(0). Calculate the greatest common divisor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/9 (b) -3579 (c) 4 (d) -2\/5 (e) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4075965 a multiple of 951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 16*w**2 + 2. Let u(n) = -n**2 - 1. Give -3*g(l) - 6*u(l).\nAnswer: -42*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 0, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 15*z + 1. Let x be t(5). Suppose 0 = -133*k + 134*k + x. Sort -19, k, -5 in descending order.\nAnswer: k, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -139238, -139279, -139320?\n\"Answer: -41*j - 139197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*z - 40, 4*u - 3*z - 17 - 23 = 0. Calculate the least common multiple of u and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17164 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**5 - 496*y**4 - 2268*y**3 + 13456*y**2 + 15232*y = 0. Calculate y.\nAnswer: -119, -8, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3092 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7105\/(-175) - (0 + (-3)\/5). Let k be (90\/z - (-1 + -1))*-8. Solve k*t + 2*y = 16, -5*t + 0*y + 30 = 3*y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 210345.4.\nAnswer: -105172.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 4*k**2 + 17*k + 6. Determine p(-7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.426 + -0.2941.\nAnswer: -3.7201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-5*1*sqrt(275))**2 + sqrt(275) + 2 + -4).\nAnswer: -6873 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 11*r**2 - 34*r + 8. Let g be a(4). What is the highest common divisor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.083926612243 + 4.\nAnswer: 3.916073387757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 618164 to the power of 1\/2, to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4337*t**2 + 2467*t**2 - 1631*t**2)*(2 - 2 - t**2).\nAnswer: -5173*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 8 - 3*d + 2)*(-3*d**3 - 2*d + 2*d) in the form c*d + q*d**4 + n*d**3 + g + r*d**2 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**2 + 855*q - 850 = 0.\nAnswer: 1, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s + 1. Let r be g(-1). Let w be r\/(-27)*6\/(-8). Let p = -0.61 + 0.51. Which is the second smallest value? (a) w (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -912*g + 3006 - 3296 + 4463 + 3189 - 137*g wrt g.\nAnswer: -1049","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-7)\/5)*(25 - 30).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -8. Suppose 5*n + 12 = t*z - 3, 0 = -3*z + 15. What is the second derivative of -5*a + 2*a + a**4 + n*a**4 wrt a?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(468) + sqrt(468) + sqrt(468) + sqrt(468) + -4 + sqrt(468) + -1)**2 + 4 - ((2*(sqrt(468)*1 + sqrt(468)))**2 + 3))*-4 + -5.\nAnswer: -84765 + 6000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1.35 (b) 3\/5 (c) 17 (d) 18.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmn when three letters picked without replacement from fmymynmymmfmmyq?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*p**5 - 28231*p**4 - 18680*p**2 + p.\nAnswer: -300*p**2 - 677544*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2476 + -2476.5. What is the second biggest value in i, -1\/5, 110, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71417326?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14199281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 76*t + 2. Let h(n) = 42*n + 4709. Let j be h(-112). Let v(s) = -38*s - 1. Calculate j*v(w) + 3*a(w).\nAnswer: 38*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i + 5. Suppose 0 = -3*c - 12, -3*r + 2*c + 0*c + i = 0. List the prime factors of (4 - r)*(-15)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26.39135l?\nAnswer: 26391.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -77 - 16. Let r be -35 - c - (-8 + -1). Let t = 2 + 0. What is the smallest value in t, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/1026 and -41\/778728?\nAnswer: 133162488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, q: 6, f: 3, b: 1}. What is prob of picking 1 v, 2 q, and 1 b?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f - 9*f + 10 + 15*f. Let o be n(6). Suppose t - o*t = -60. Solve t = -5*s - 0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5908 and 3504956.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 - d + 5. Let f(y) = 2*y**2 + y - 4. Suppose 2 = 3*b - 2*t + 10, -2 = -b + 3*t. Calculate b*f(x) - 3*n(x).\nAnswer: -2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/4 (b) -3\/2 (c) -6 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2 - 46*h + 7647. Calculate r(-76).\nAnswer: -6185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aralllrla. Give prob of picking 1 a, 1 l, and 1 r.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1886\/(-46)*576\/(-1476).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 148\/5 (b) -0.5 (c) 0.3 (d) -5 (e) 4599 (f) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 25 = 5*c, -9705*a + 32*c - 234 = -9710*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2874 - 4304. Let l be j\/(-12) - 26\/156. Suppose 58*w = 57*w + l. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - q**2 + 3*q**2. Let z(s) be the first derivative of s**2\/2 + 11. Calculate z(i(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b. Let v(k) = 331*k. What is v(r(g))?\nAnswer: -662*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 0 = 2*h - 1, 5*a = -4*h + 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*j**2 + 0 + 4\/5*j - 2\/5*j**3 = 0. Calculate j.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 12:23 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - 212?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 14001?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -234415 (base 12) to base 16\nAnswer: -8a851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25116227 and 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 4*m + 21, 238*q + m - 6 = 235*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -982 less than or equal to -19621\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11481 - 7523. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mllmmlmmlhmmumm. What is prob of picking 1 u, 1 m, and 1 l?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfyy when four letters picked without replacement from {n: 3, f: 1, y: 5}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/84 and 59\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 45624?\nAnswer: 228120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/3735 and -2\/2055.\nAnswer: 511695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -21 + 8 - (-17 - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -1008 + 28. Calculate the smallest common multiple of 84 and q.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 75 - 37?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -132 + 104. Solve 2*o = -3*k - f, -3*o + 5*k + 1 - 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 64.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n - 19895 + 19895.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s**2 + 38*s - 6. Let x(k) = -2*k - 42. Let i be x(-25). What are the prime factors of l(i)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 922320 a multiple of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0 + 12. Let s be 5\/35 + (-468)\/(-7). Suppose -9*a = -4*a + p*w - 86, 4*a - s = -3*w. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**2 + n. Let z(i) = i**3 + 8*i**2 - 48*i + 5. Let j be z(-12). Let v(g) = -9*g**2 + 3*g. Determine j*l(a) - 2*v(a).\nAnswer: -2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 77*d**2 + 744*d - 10. Give j(-7).\nAnswer: -1788","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5046 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - l = -232. Let v = 17 + -7. What is the remainder when l is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2 = -n. Let o be 80\/105 + 11\/(-33). Which is the second biggest value? (a) o (b) 0.08 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6132 in 5, -1, 3, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 3:33 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 3. What is the third derivative of -8*k**6 - 3*k**6 + 0*k**2 + 5*k**2 + 2*k**b wrt k?\nAnswer: -1080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2781.18 and 0?\nAnswer: 2781.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013091 to 7 decimal places.\nAnswer: -0.0000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -233.1485 times 0.4?\nAnswer: -93.2594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 3 = 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -78, 5, -1, 1, -2800 in descending order.\nAnswer: 5, 2, 1, -1, -78, -2800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 539393092*g**3 + 2837*g**2 - 73132*g wrt g.\nAnswer: 3236358552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 24229160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 156 + -129. Let w be (-3)\/(2\/4 + -2). Let s be (-656)\/(-36) - w\/9. Calculate the greatest common divisor of f and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58869 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 72*y - 80927 + 13327 = 0. Let z be (62 - -1) + 1 + 1. What is the highest common divisor of y and z?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27002662 - 19?\nAnswer: -19.27002662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 2, 3, 2362, 5 in descending order.\nAnswer: 2362, 5, 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) - (-240)\/306. Let l = 5 - 6. Which is the closest to -2\/7? (a) l (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 4*h**2 - 7*h - 3. Let c be b(-6). Let y = c + -39. Suppose p = 3*p - y. Is 21 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55323959?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2075 rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emee when four letters picked without replacement from {d: 6, e: 3, b: 8, m: 1}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -13 - r + 34 - r**2 + 0*r. Let s be q(0). Let a = s + -10. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from {z: 4, x: 5, r: 5, n: 6}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -65.69.\nAnswer: -722.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 3*w - w + (16*w - 25 + 25)*(93 + 29 + 50) to y + s*w and give s.\nAnswer: 2755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 79 = -4. Suppose 3*k + 2*g = u, 5*k - 2*g = 3*k + 30. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8328 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8473.\nAnswer: 37, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.519 rounded to 2 decimal places?\nAnswer: -2.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkp when three letters picked without replacement from ssppsks?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 greater than 126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28950007?\nAnswer: 28950007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 5 + 281*b**3 + 347*b**3 - 58*b**2 - 93*b**3 + 55*b**2. Is c(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-9 - -8)) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5534*n**2 - 21. Let b(v) = -1844*v**2 - 7. Give 8*b(t) - 3*f(t).\nAnswer: 1850*t**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 12 + 4202*a - 17 - 256*a to the form o*a + r and give o.\nAnswer: 3946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133425 and 21620187?\nAnswer: 5337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 44 = -n + 5*n, -4*n = 5*q - 17. Suppose -25*t + 408 = 8. Which is greater: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65112 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 + 4*n**2 - 3*n**2)*(-n + n + 2*n**2) - n**4 + 10*n**4 + 7*n**4 + (2 + 17*n**3 + 0*n**3 - 48*n**3)*(0*n + 3*n - 2*n).\nAnswer: -5*n**4 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = -4*j + 3*j. Let h be (4\/6)\/(j\/3). Let r = 528\/4777 - h. Put r, -2, -0.1 in decreasing order.\nAnswer: r, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6337562?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48464807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27426 and 7388042?\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 14*g**2 + 2. Let n = -166 - -164. Let y(k) = 69*k**2 + 11. Let b(p) = n*y(p) + 11*l(p). Let i(o) = -4*o**2. Give i(b(c)).\nAnswer: -1024*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 70138.06 hours?\nAnswer: 252497016000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132 or 1713\/13?\nAnswer: 1713\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2129 rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 32*n**2 + 48*n - 72. Let a be v(-30). Suppose 30*p - a = 72. What is the remainder when 2\/1*(-94)\/(-4) is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a**2 - 341086*a + 341086*a - 84*a**2.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/40 - (-36)\/5. Suppose -3*g + i*g = -5. Is 3\/13 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3122*f**5 - 3021*f.\nAnswer: 62440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 57*l + 225. Suppose 2*f - 2*v = v + 14, 3*v - 77 = -5*f. What is the hundreds digit of b(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-8\/5)*v*v))**(4\/5)*v**(-6)*v\/(v\/((v*v**(-24))\/v)) assuming v is positive.\nAnswer: v**(-738\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24464063?\nAnswer: 13, 1881851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (6 - 4) - (-17 - -3)) + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from errbgelrzllg. What is prob of picking 1 r and 1 z?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -540.15 rounded to the nearest ten?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 18. Suppose 3*a - 30 = f. Solve -3*l = -a - 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 25*b - 24*b + 20, 3*b = -4*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from jyyyjjjjyjryjiyyyyi?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -103744077786\nAnswer: 103744077786.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -42 (c) -0.4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1740, -1816, -1876, -1920?\n\"Answer: 8*v**2 - 100*v - 1648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1614796 + 4416*q**2 + 1614796.\nAnswer: 4416*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/84723159 or -1?\nAnswer: 2\/84723159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/3)\/(3\/9). Suppose 287*q - 638 = 129*q - 161*q. Solve -z = 6*b - q*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/10 + -141\/110. Calculate the common denominator of h and 44\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -50029, -100057, -150093, -200143, -250213, -300309, -350437, -400603?\n\"Answer: -m**3 + 2*m**2 - 50027*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrohhrhor. What is prob of sequence rrrh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1510301 (base 7) in base 6?\nAnswer: 4213305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 21*z - 129. Let v be t(-26). Which is smaller: -2\/149 or v?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44d (base 15) to base 6.\nAnswer: -4301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 170097201\nAnswer: 5\/170097201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2*t = -5*n - 9, -4*n = 4*t + 1437 - 1473 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f**3 + 38*f**2 - 22*f + 148. What is the units digit of v(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - 90f0?\nAnswer: -90f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*d - 5643, -3*f - 2*d + 4374 = -1271. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (4 - 3))*-76481. Suppose -7*h + a = 22699. Suppose -h - 191 = 4*m. Round m to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r**2 + r**2 + 4*r**2)*((0*r - 3*r + r)*(2 + 1 + 0) - r + r - r + 14 - 13*r - 14) as a + p*r**2 + w*r**3 + u*r and give w.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007863 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1932 and 36.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-792)\/352*(-174)\/(-29)*1\/(-243).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 641*n**2. Let d be w(-1). Suppose 0 = 5*h - 19 - d. Suppose 0*a + 4*a = 2*f + 40, -4*a + 28 = -5*f. Calculate the highest common divisor of h and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m + 122. Determine s(26).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -124, -193, -264?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14a - 146f0?\nAnswer: -1483a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/270)\/(1472\/5060 + (-1)\/11).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 23*f**2 - 79*f + 38. Let y be o(26). Let t(p) = p**2 - 19*p + 85. Give t(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 6 - -4) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3856 and 82904.\nAnswer: 165808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 33*t - 2. Let c(z) = 67*z - 21. Give 4*c(r) - 10*o(r).\nAnswer: -62*r - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(-6))\/((c\/(c*c\/(c*c**4)*c))\/c))**(39\/4))**4)**(-1) assuming c is positive.\nAnswer: c**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18949, 37901, 56853?\nAnswer: 75805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29354 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 56.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6*k + 12. Let r(z) = -3 + z + 3 - 3 + k. Let v be r(0). Solve t = -g - 3, 3*t = 5 + v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (2\/(-1))\/(-2). Suppose 6*a - 42 = i*a. Suppose 5*l - 6*l = -a. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, p: 3, d: 2}. Give prob of picking 1 v and 2 d.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-3 - (8 + -12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 446 - 198. Let r(g) = 1 + j*g**2 - 2 + 0*g + g - g**3 - 251*g**2. Give r(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -333?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-18))**31*(o\/(o**(1\/9)*o))\/o**(-1\/7) assuming o is positive.\nAnswer: o**(-35152\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -370 + 568. Suppose -l = -10*a + a. Suppose 0 = -2*n + 5*c + a, n - 2*c + 10 = 20. Solve 3*j = -k + 5 + n, -k + 3*j - 7 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 3*j**2 - 4*j + 2. Let k be d(4). Let b(o) = o**2 + 2*o**2 - k*o**2 + o**2. Let q(t) = t. What is b(q(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 885, 886, 891, 900, 913?\nAnswer: 930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 2 (c) -4\/663\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -1456 in descending order.\nAnswer: 6, 1, -1456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 1 - 25 = -17*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56\/75 - 137\/150. Which is the nearest to -2? (a) -1\/3 (b) i (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 55*y + 19. Let o(x) = -x**2 + 2*x - 9. Determine -h(g) - 2*o(g).\nAnswer: 3*g**2 - 59*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6560 (base 10) to base 7\nAnswer: 25061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = -16*a + 2323. Calculate the remainder when a is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1656 = 4*f. Is f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a week in hours?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 + 173. Suppose 109*w = g*w - 6. What is the lowest common multiple of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/2 + 567\/18.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-2)\/(-2))\/((-1)\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1539)*5)**2 + -1*(sqrt(1539)*-5)**2 - (5 + sqrt(1539)*1 + sqrt(1539)*2 + 4)**2.\nAnswer: -486*sqrt(19) + 563193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/140)\/((-4)\/(-40)). What is the closest to 0.1 in m, 0.2, 5, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-2)\/(-14*(-1)\/14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43368876*y**3 - 395931713*y?\nAnswer: -260213256*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134279976*h**2*k**2 + 4*h*k - h - 31*k**2 + k + 560 wrt h.\nAnswer: -268559952*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**2 - 5*r**2 - 29*r**3 - 16*r**2 + 30*r**2 + 0*r**3 - r.\nAnswer: -29*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1079*x**2 - 2159*x**2 + 1060*x**2. Let u(k) = -140*k**2. Calculate q(u(p)).\nAnswer: -392000*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**5\/30 - 5*z**4\/24 - 16*z**3 - 22. Let o(l) be the third derivative of f(l). Let t(q) = 2*q**2. Give t(o(d)).\nAnswer: 32*d**2 + 80*d + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3255.\nAnswer: 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 37*y**4\/24 + 164*y**3\/3 - 2*y**2 + 491*y - 2. Determine v(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 5 = 6*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - u. Let o(f) = 4*f - 4*f - 2*f**2 + f + 5*f**2 + f**3 - 2. Let i be o(-2). Give j(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 3*o - 4*o)*(15829 + 15989 - 32028)*(2 - 3*o - 2) to the form b*o + j*o**2 + g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**31*p\/((p*p\/(p*p**(6\/23)*p))\/p*p) assuming p is positive.\nAnswer: p**(-661\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-30) - (34\/(-10))\/1. Suppose 2*t + 212 - 854 = -5*v, w*v - 508 = -3*t. What is the remainder when v is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*u - 158, -3*j = -3*u - 2*u - 100. Let g be (8\/(-6))\/(j\/(-9)). Solve -4\/5*y + 2\/5 + g*y**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l**2 - 6*l - 217. Give y(-10).\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4901, 4899, 4897?\n\"Answer: -2*x + 4903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**5 + 16758*a**3*j - 4*a**2*j - 4623*j wrt a?\nAnswer: 120*a**2 + 100548*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*m - 595. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/7)*x*x**(-1)*x**(-8)\/x*(x\/((x\/(x*x**(-3\/7))*x*x)\/x))\/x*x\/(x**(-6)\/x)*x**(-5\/2)*(x*x\/x**(2\/15)*x*x)\/(x\/x**(1\/4)) assuming x is positive.\nAnswer: x**(-941\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/967 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 112333 (base 6) in base 14?\nAnswer: 3721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 8:53 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97884940.\nAnswer: 2, 5, 359, 13633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 9 = -5*z + 8*z, -z + 3 = 4*n. Let w be (528\/(-56))\/(1\/(-56)). Does 12 divide w\/9 - 2\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a millennium in months?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*((-118)\/8 - -2). Let b(x) = 33*x - 2. Let u be b(-3). Let f = k - u. Calculate the remainder when f is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*f**4 - a + 2*f**4 - 1250*f**2 + 442 wrt f?\nAnswer: 4*a*f**3 + 8*f**3 - 2500*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) 2 (b) 0.04 (c) -2 (d) 3 (e) -6518\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d**2. Let r(k) = -158*k**2 + k + 339. What is r(i(u))?\nAnswer: -12798*u**4 + 9*u**2 + 339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z + 3. Let t(m) be the first derivative of 17\/2*m**2 + 23\/6*m**3 - 7*m - 8. Let n(a) be the first derivative of t(a). Determine -34*j(i) + 6*n(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 483, 958, 1421, 1866, 2287, 2678, 3033?\nAnswer: 3346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9788163, -19576348, -29364553, -39152778?\nAnswer: -48941023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21712666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 23*k - 54 = 0. Suppose 4 + 6 = 5*u, 0 = -3*i + 3*u + 15. Let c = -6 + i. Solve -w + k + c = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -35. Suppose s*l = -l + 56. Calculate the highest common divisor of 56 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4)*-29)\/(-5). Let n = -12\/5 - i. Let p = 67 + -62. What is the nearest to n in 2, 1\/5, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**3 - 4*j**2 - 2*j + 3 - 9 + 4 + 2*j**2 in the form d*j**2 + z*j + q + i*j**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, j: 1, k: 2, r: 10, c: 2, y: 2}. Give prob of picking 1 q, 1 j, 1 r, and 1 c.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 330*d**4 - 8 - 652*d**4 - 72*d**5 + 3*d**2 + 319*d**4 wrt d?\nAnswer: -4320*d**2 - 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/1181271 and -10\/168753?\nAnswer: 1181271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1422 - 43?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 46997134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 52*p**2 - 7*p**2 - 51*p**2.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 1 - 1)*(1 - 3 + 1) + 3*z + 17*z - 40*z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyy when three letters picked without replacement from {y: 7, f: 4}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 82, 46, 18, 4, 10?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1254a29 (base 12) in base 9?\nAnswer: -6680346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 7824635\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 237114583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -243*n - 53. Is z(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -46425*l**3 - 2*l**2 + 6*l + 4. Is v(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 4 = 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -27. Is (-3)\/(a - 75\/66) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from ijfjmmpp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/1473 + 19141\/11784. Let w = -1\/1533 - 4937\/4088. Let l = w - -59\/6. What is the common denominator of l and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40452 + 7?\nAnswer: 40459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31322 is divided by 591?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 793269667 to the nearest integer?\nAnswer: 28165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 340, 509, 678?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 2*b**2 + 10*b - 304. Determine x(0).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 2*s - 5*s + 9, -5*d = 4*s - 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 + 10054*o\/9 + 3352\/3.\nAnswer: -2*(o - 5028)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*o - 414 = 110*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2673235474 a multiple of 3941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/36)\/(99\/66)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106149758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 10951 = -5*j, 3*j + j = -d + 2743. Calculate the smallest common multiple of 27 and d.\nAnswer: 24651","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/2)\/(-6))\/((-2)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2265628019 + 2265629436.887029. Let o = 1417.9 - t. Let z = o + -0.013. What is z rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1286.9 to the nearest 10.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 12:35 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -2, -16, -56, -134, -262, -452, -716?\nAnswer: -1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 - -61. Let y be 9\/21*(-2)\/3. What is the second smallest value in i, y, 8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, y: 3}. What is prob of picking 1 y and 1 d?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 5, 0.2, -2, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**2\/2 + 2*d - 1. Let h(v) = v**2 + 24*v + 72. Let i be h(-20). What is q(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1039 is divided by 682.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (35 + -19) - (-4 + 6 + -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -3 (b) 2\/19 (c) 0.2 (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1528675241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 39. Suppose 4*x - 20 = 4*b, 2*x - 5*b + w - 13 = 0. Solve -x*i = -4*z + 2, i = -3*z - 6 + 17 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3038070, 6076138, 9114206, 12152274?\n\"Answer: 3038068*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001100011 (base 2) to base 7.\nAnswer: -4524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 452 and 226?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 781150197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67250, 269010, 605278, 1076054, 1681338?\nAnswer: 2421130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 68*p - 6268. Give q(92).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - 4*1\/2. Let d(l) = -l - 13. Let k be d(-9). Let q = c - k. What is the closest to -1 in q, -1\/7, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-1)\/(-8 - -17).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -7 + -4)*-13 + -4. Factor -76*m**3 - 9*m + 77*m**3 - 23*m**2 + r*m - 121.\nAnswer: (m - 11)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77 + (3 - 10 - -4) - (-8 + -25 + 41)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/6 - (-70)\/20)\/(3 - 2). Let k = 2 - 2. Solve 4*h = -j - 4, j - 6*h + h + m = k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.35 and -5.\nAnswer: 56.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*3*(sqrt(684) - (sqrt(684) - (sqrt(684) + sqrt(684)*1))*4))**2.\nAnswer: 615600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 117089, 117094, 117099?\n\"Answer: 5*j + 117084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 1. Let p(h) = 2*h + 5. Let z be p(-3). Let f(s) = 4*s**2 + 7*s + 6. Let o(v) = z*f(v) - 6*r(v). Find the second derivative of o(b) wrt b.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8240\/(-9888)*16\/10.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231426 is divided by 116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 611972429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4*v + 21 = -9, -4*f + 2 = -2*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 22*v - 18. Let p be j(23). Let q(u) = -u**3 - 10*u**2 - 13*u - 12. What is the remainder when q(-10) is divided by 1 + -5 + 39 - p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/4 and -47\/28804184.\nAnswer: 28804184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - (0\/(-1) - (-2 - 2)). Let b be (120\/(-4) - -4)\/n. Is b >= 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.6, -2, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 19.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**3 + 11059656879*u - 11059656879*u.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -292256 divided by 8\nAnswer: -36532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d + 3. Let t(w) = 2*w - 13. Let p be t(10). What is k(p)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqblbqbqlb. What is prob of sequence bbll?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1447.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 e when three letters picked without replacement from ecccecccccecccc?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5180 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904) + -2*(sqrt(2904) + (sqrt(2904) - (-2*sqrt(2904) + sqrt(2904)))) - sqrt(2904))\/(sqrt(192)*-1).\nAnswer: 33*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/401107349?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 72*h**3 - 2*h**2 + 1. List the prime factors of s(1).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4 - (-1)\/((-5)\/(-4))*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3 - 87*i**2 - 1848*i + 1936 = 0.\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-447*r - 28*r - 46*r)*(1 - 1 + 2)*(-4 - 3 + 3) in the form l*r + t and give l.\nAnswer: 4168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2840182, 2840183, 2840184, 2840185, 2840186?\n\"Answer: q + 2840181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*v - 150 = 0, 0 = 5*a + 15*v - 17*v - 129. Calculate the remainder when (-66)\/(-8)*16\/1 is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18296, 36672, 55060, 73466, 91896, 110356?\n\"Answer: z**3 + 18369*z - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -4.5526.\nAnswer: -1.82104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-8 + 11 + -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 484610 and 273.\nAnswer: 18899790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 4, 2, 1.58?\nAnswer: 1.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*sqrt(80)*5 - (-3*(sqrt(80) - (-1 + sqrt(80))) - sqrt(80)))**2.\nAnswer: -122934 - 2304*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -15. Suppose -n + f = 3*n. Suppose -4*j - l + 151996 = -3*l, 3*j = -n*l + 114006. Round j to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -68 (b) -13751 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Let s = -2663 - -2661. Which is the closest to s? (a) -4 (b) x (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -137?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 2)\/((-1)\/(-2)). Let d = -46 + 49. What is the fourth biggest value in s, -3, d, 0.02?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/6 - 7*w**2\/3 - 13*w\/6 = 0. What is w?\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 22, 48, 18 in descending order.\nAnswer: 48, 22, 18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 33\/23, -0.5, 0, -22, 14, -5 in decreasing order.\nAnswer: 14, 33\/23, 1, 0, -0.5, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -58. Let r = b + -14. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 7:19 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -863 (base 13) to base 6.\nAnswer: -10345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + sqrt(75)) + 5*(sqrt(75) + (sqrt(75)*1 - sqrt(75))**2))*3.\nAnswer: 30 + 150*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 9156, 2 in descending order.\nAnswer: 9156, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**2 + 5\/6*y**4 + 0*y + 0 + 8\/15*y**6 - 1\/3*y**3 - 16\/15*y**5. Find i, given that p(i) = 0.\nAnswer: 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*j + u, -4*u = -j + 3*j - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = n - 5, -2*x + 4*n = 86 - 80 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -2*v**5\/45 - v**4\/9 + 2*v**2\/9 + 2*v\/9 - 3. Factor u(s).\nAnswer: -2*(s - 1)*(s + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42480013*d - 568183348 with respect to d.\nAnswer: 42480013","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/47100 and -163\/5700.\nAnswer: 894900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/g**(-14)))*(g*g**(-1\/8))\/g*(g**(-1\/4))**(-49))**(6\/25) assuming g is positive.\nAnswer: g**(651\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9*j**2 + 910*j + 838. Let v be z(102). Solve 5*t + v = 3*k + 27, 2*k + 18 = -4*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 69 - 269. Suppose 0 = -4*z - 12, -14 = -4*s - 4*z - 2. Suppose -s = 13*i - 15*i. Solve 0 = 5*d - 3*a - a + p, -a - i = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 10. Let t be f(-5). Let x be (18\/4)\/(-3) - t\/(-12). Which is the fourth biggest value? (a) -3 (b) 0.4 (c) 5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**5 - 14*b**2 - 248*b.\nAnswer: -80*b**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from efjfjjq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 3. Let i be y(-6). Suppose i*z = -0*z. Suppose h - 6*x + 4*x = 18, 4*h - x - 58 = z. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -5. Let o(b) = -13*b**2 - b + 17. Let q(u) = 7*u**2 - 9. Let z(v) = p*q(v) - 6*o(v). What are the prime factors of z(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -14\/3, 1\/6, -3\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52836 and 37464.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 6:00 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9373 (base 16) to base 9\nAnswer: -56701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14029 - 14816383.\nAnswer: -14802354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b05 (base 15) to base 8.\nAnswer: -13337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 205386 to the power of 1\/2, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20204011 (base 5) to base 9\nAnswer: 267537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**3 + 11*d**3 - 11*d**3 + 4*d**3.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 470 + 1458. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27609*r**4 + 6351*r wrt r?\nAnswer: -331308*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -15*v + 79. Determine i(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 5*y = -2*y, 0 = 2*q + y - 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 < -777\/83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.66 + -3.66. Let t = 3 + -2. Is t < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/119? (a) -0.1 (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j + 252. Let w be (-2415)\/j + (2\/6)\/(-1). Solve 15\/4*z - 99\/4*z**3 + 21*z**5 + w*z**2 - 249\/4*z**4 - 9\/2 = 0 for z.\nAnswer: -1, -2\/7, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21775668481 and -36.\nAnswer: 21775668445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.113 + -159.887. Let d = m - -160.08. Which is the nearest to d? (a) 5 (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < 2427\/601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 124596820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1551 = -3*c - 3*j, 5*c - 2*j - 3849 = 0. Is 54 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83555, 165461, 247365, 329267, 411167, 493065, 574961?\nAnswer: 656855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from yyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 146 + 98. Let i = 191 + r. List the prime factors of i.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**5\/20 + 4*b**4\/3 + 29*b**3\/6 + 8*b**2 - 53*b. Let p be c(-14). Solve -w - 1 = -p*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 12*n**2 - 12*n + 8. Let t be u(11). Let q = t + 26. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7634 + 3034 = 284*q + 27499 - 2847 for q.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -433 + 431. What is the third biggest value in 0.1, -2\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12\/56933 - 5174999\/28011036. Calculate the common denominator of d and 67\/410.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 2*v**5\/5 - 5*v**4 + 38*v**3\/3 - 12*v**2 + 10*v. Factor m(x).\nAnswer: 4*(x - 6)*(x - 1)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**2 + 19490*x - 2358125 = 0.\nAnswer: 125, 3773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -62, 116, 632, 1654, 3350, 5888?\n\"Answer: 28*n**3 + n**2 - 21*n - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 223 times 4\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x + 44. Let g be o(14). Let z(b) be the first derivative of b**2 - 2*b + 1. What is z(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*z + 3684954*d*z**2 + d + 173490685*z**2 wrt d.\nAnswer: 4*d*z + 3684954*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 3) to base 7\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18706 + 44351. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 13*h + 32. Let u be l(-15). Suppose 2*c - 4*v = -2*v + 4, u*c + 5*v = -24. Sort c, 5, 7.\nAnswer: c, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4465 + 8255*v**2 + 4465 - 8252*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8985249 a multiple of 1317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52179654?\nAnswer: 2, 3, 8696609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 3*b - 13, 4*h - 11 = 2*b - 3*b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aafw when four letters picked without replacement from cafeamaacaamwcamaa.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 28 = 2*o, -15 = 4*w - w. Let n = -0.03 + 2.03. Let s = n + -2.5. What is the second smallest value in o, s, 3\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -319*y - 18569. Calculate the remainder when 1744 is divided by f(-60).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 - 539228*q - 539222*q - 2*q**3 + 2156895*q - 539223*q - 539222*q.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = -35*z + 39*z. List the prime factors of z.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 4*y + 2*y + 4)*(-1090*y**2 - 229*y**2 + 195*y**2 - 1205*y**2).\nAnswer: 2329*y**3 - 9316*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a7 - 16c?\nAnswer: -c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719663 is divided by 80.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -995.095 * 1.\nAnswer: -995.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 45*s**2 + 15*s + 225. Is 7 a factor of m(-44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 421 - (-1 - (-2 + 1)). Suppose 0 = -5*q + 15, 5*q = 2*v + 477 + 110. Let b = n + v. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30060 divided by -10020.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -620091 or -620092?\nAnswer: -620091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -10*z - 10. Let y be n(5). Find the common denominator of (-18)\/(-54) - (-266)\/y*1 and 36\/80*2 - (-3)\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3845413 (base 9) in base 10?\nAnswer: -2096940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -255\nAnswer: -1275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + -7 + -3 - (-167 + 142)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246982 is divided by 92.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866 is divided by 61?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*w + 35, 2*s - 4*w + 0*w = -2. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1212, 2426, 4448, 7278, 10916, 15362, 20616?\nAnswer: 26678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -109050*w**2*x + 3831078*w**2 - 4*x**3 with respect to x.\nAnswer: -109050*w**2 - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*f + 2 = -7*f, 3*g - 4*f - 14 = 0. Solve 2*a - 18 = g*n, -a = -3*n - 6*a + 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 1\/((-1)\/3). Suppose m*d - 4*v = 980, v = -4*d - 714 + 1989. Let h = d - -89. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/v**(-2\/27))\/v)**(-1\/15) assuming v is positive.\nAnswer: v**(-29\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -12 - 13. Suppose -3*m - o + 5 = -l, -3*m + 16 = -2*o. Solve -1 = -p - m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 648901508 and -15.5.\nAnswer: 648901492.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 331, 2, 16, -1.\nAnswer: -1, 2, 16, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o - 2096*o**2 - 3*o - 4*o + 2059*o**2.\nAnswer: -37*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1023 divided by 341\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1. Let b(f) = -8*f - 2. Let h(m) = -b(m) + 3*s(m). Let n(i) = -i - 9. Let c(v) = v + 4. Let k(j) = 15*c(j) + 6*n(j). What is 6*h(l) - 5*k(l)?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4, 3, -2.1 in descending order.\nAnswer: 3, 0.5, -2.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -823 by -5.\nAnswer: 823\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 707 divided by 6\nAnswer: 707\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-180*x**2 + 5*x**2 - 269*x**2)*(-4*x**2 + x**2 + 5*x**2 - 2*x) to the form c + i*x**4 + q*x**2 + g*x**3 + w*x and give i.\nAnswer: -888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmehmhh. Give prob of sequence hhe.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67919 is divided by 320.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqxxxqlqnwlxlzq. Give prob of picking 1 w, 1 n, 1 z, and 1 q.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-6)\/2 - -3)\/(-1))\/(-2). Suppose k = 2*j - 2*p - 40, -4*j + 10*p + 65 = 9*p. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -15407, 1\/3, -2, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*u = -4*w + 6, -4*w - u + 21 = 0. Let d = 7 - w. Let i be (-10)\/56 + d\/(-12). Are 1 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -343332, -3 in descending order.\nAnswer: 2, -3, -343332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(60\/27)*(-4)\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = j - 0*j + 4*q, 5*j = -2*q + 14. Suppose j*g + 1 = 3*i, i + i = 2*g. Sort g, 0, 5, -2 in increasing order.\nAnswer: -2, g, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5*a - 25 = -5, n - 20 = 3*a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -102, -73, -42, -9, 26, 63?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1252233430 to the nearest one hundred thousand.\nAnswer: -1252200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 348006744, 696013484, 1044020226, 1392026970, 1740033716, 2088040464, 2436047214?\n\"Answer: k**2 + 348006737*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x = 12. Let q be (2 - (-1 + 2))*x. Let c(s) = -s - 5. Let l be c(0). Which is greater: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-10 - 118)*6. Is 14 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 462966, 925928, 1388890, 1851852?\n\"Answer: 462962*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 15*z**3 - 3*z**2 + 2*z - 1. What is the remainder when 62 is divided by u(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 7:57 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4247681 is divided by 3206.\nAnswer: 2937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -2\/5, 2\/457 in increasing order.\nAnswer: -1, -2\/5, 2\/457, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgiqmiqqimiiqgmggqi. Give prob of sequence miqm.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, k: 6, u: 3, c: 2, i: 2}. What is prob of sequence ui?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 3212.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4872636.\nAnswer: 2, 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 120 = -l. Suppose 5*x - l = 20. Does 13 divide (-195)\/x*-2*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-15))\/(70\/(-225))*(-4)\/20\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-3))\/((-54696)\/1548))\/(-2).\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/2)\/(6\/(-198)). Find the second derivative of y*h**2 + 4 - 230*h**2 - 38*h - 4 wrt h.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 917, 1844, 2779, 3722, 4673, 5632?\nAnswer: 6599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-372)\/(-3162) - (1580\/714 - 2))*9. Let p = 2.1 + -2. What is the smallest value in p, t, -0.2, -0.06?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58298\/13 or 4485?\nAnswer: 4485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -658 (base 10) to base 12\nAnswer: -46a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 5*t - 5. Let v(a) = -a**3 - 11*a**2 + 6. Let i be v(-11). Let f be b(i). What is the derivative of 0 - 1 + 3*u + 2*u - f wrt u?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 7*h**2 - 3*h**2)*(2*h + 2*h - 3*h)*(3 + 0 + 2) + (2*h - 3*h - 4*h)*(h**2 + 0*h**2 + 0*h**2).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muumuuum. Give prob of picking 2 u and 1 m.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 + -0.04. Let q = 0.54 - 0.14. Which is the nearest to w? (a) 0.3 (b) 4\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 1. What is the units digit of n(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2 - 32*p + 6 - 5. Is g(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2655\/9*24\/(-4560)*-38.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22387920 divided by -466415?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.3 - 0.3. Let t = -12 + v. Suppose o = 4*m + 12, -3*m + 8*m + 40 = -5*o. What is the second biggest value in t, m, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2 + 2*u + 150. Let m(x) = -x + 2. Calculate 4*m(t) + y(t).\nAnswer: -3*t**2 - 2*t + 158","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*f**5 + 1200*f**4 - 5282*f**3 + 2674*f**2 + 1354*f + 126 = 0. Calculate f.\nAnswer: -1\/6, 1, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-7) + (0 - 0). Differentiate 3*o**2 + u*o**3 - 3*o**2 + 3 with respect to o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -41*u**2\/2 + 34324. Let l(q) = -2 - 2*q + 2. What is l(a(w))?\nAnswer: 82*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 - 142 + 142.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bedwembmbmmmimbmidm. Give prob of sequence dbi.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 253793.07 rounded to the nearest one hundred?\nAnswer: 253800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/936 and 19\/104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1443, -3951, -7523, -12159, -17859, -24623, -32451?\n\"Answer: -532*v**2 - 912*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 842723.9um to centimeters.\nAnswer: 84.27239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*-1*(-3)\/(-9). Let f be m\/4*(-6)\/3. Let d(j) = 8*j. What is the units digit of d(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-10*(-2)\/((-8)\/(-3)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355986 is divided by 62.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1536307?\nAnswer: 17, 90371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -429 * 7.4\nAnswer: -3174.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from oolllllllll.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/9 + 26*t\/9 + 44\/9.\nAnswer: 2*(t + 2)*(t + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -5\/11 (c) -278\/17 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 28*i**2 + 140. Let f(c) = -9*c**2 - 42. What is 16*f(h) + 5*n(h)?\nAnswer: -4*h**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 - 6 = 0. Let k(r) = r**3 - 2*r + 3. Let n be k(0). Suppose -280 = -n*z - 82. What is the highest common divisor of q and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 682427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51141277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4 - 4. Let k = -2 - r. Suppose -q - 6 = -4*q. Solve 0 = -j + k - q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y - 44 = 3*j, 0 = 2*j + 5*y + 22. Let c be ((-54)\/12)\/(1\/j). Calculate the highest common divisor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 27\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(3*(-1*(sqrt(200)*1 + sqrt(200) + sqrt(2) + sqrt(2)) + 2 + sqrt(4)\/sqrt(2) + 1))**2 + -3.\nAnswer: -2268*sqrt(2) + 16031","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485 is divided by 444.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16935 is divided by 110.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 5*n**2 + 3*n - 2. Let i be g(5). Let h = i + -8. Calculate the remainder when 7 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2879 times 2208.6\nAnswer: -6358559.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.37487978 + 6.7.\nAnswer: 6.32512022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 - 190*q - 1064. What is i(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n. Let f(v) = v**2 - 264617367*v. What is f(s(r))?\nAnswer: r**2 + 264617367*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 14649*k - 9053946.\nAnswer: -3*(k - 4157)*(k - 726)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(5*6\/15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*m - 33*m - 72 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2919887 to the nearest integer?\nAnswer: 1709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -87*q**5\/5 - 227*q - 894. What is the first derivative of u(k) wrt k?\nAnswer: -348*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21.9888388 - 46.833699. Let j = l - -27.12485923. Let f = 2.28 - j. What is f rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 4*g**2 - 6*g + 6. Let l be 4\/10 + (-162)\/30. Let f be s(l). What is the greatest common factor of f and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -186243.077 and 262563.\nAnswer: 76319.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -12. What is the remainder when i is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 519399734, 519399732, 519399728, 519399722, 519399714, 519399704, 519399692?\n\"Answer: -a**2 + a + 519399734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*(-4*sqrt(1225) + sqrt(1225)))\/(3*sqrt(10)\/sqrt(242)*-1).\nAnswer: -1155*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9617586 divided by -437163?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from {a: 1, i: 1, d: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9759*u - 2. Let n(q) = -2*q**2. Give n(g(i)).\nAnswer: -190476162*i**2 - 78072*i - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 17.9 + 20902366.84\nAnswer: 20902384.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (2 - (-42)\/(-3)). Let z(i) = 3*i - 12. Let w be z(d). Calculate the greatest common divisor of 27 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Round -0.000086463 to 6 decimal places.\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 - 0.04065. What is n rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11578 and 130298?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18788 = -o + 5*a, -2146 = -2*o + 4*a + 35436. Does 89 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -710?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 23966778*j + 287601768.\nAnswer: -3*(j - 7988938)*(j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350 and 1380981350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1944 - -3740. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -40, -4, 5, 0.1, 4\/45.\nAnswer: -40, -4, 4\/45, 0.1, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 10:40 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3 + 3. Let d(h) = -h**3 - h**2 + 4*h. Let g be d(z). Suppose -3*n + n = -g. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 12 - 2. Find h, given that 3 - 25\/2*h**k + 5\/2*h = 0.\nAnswer: -2\/5, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235411729 is divided by 143?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1092\/1365)\/(8\/90)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 16*x**2 + 28*x**2 - 2 + 3. Let l be 3\/((-18)\/(-8)) + 5\/(-15). List the prime factors of b(l).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - b = 23, -2*b - 5260 + 5268 = 3*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 2*c + 2. Let r be n(-2). Suppose -r*t = -t - 1, 0 = -w - t + 29. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l = 12557 - 158660. Which is smaller: 4714 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 + 9*u**3 - 3*u**2 - 9*u + 6.\nAnswer: -3*(u - 2)*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -313, -678, -1183?\nAnswer: -1828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**2 + 53*c**5 + 4 + 0*c**2 + 5 + 4*c**2 wrt c?\nAnswer: 3180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 301500 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l**2 - l - 1. Let n be s(1). Let v = 10 + n. Suppose v*k - 32 = -4*k. Are k and 5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-125)\/(-2200)*-12)\/((-360)\/144).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.06169*-16.\nAnswer: 16.98704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.33149 - 0.5.\nAnswer: -0.16851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**5\/60 + 13*g**4\/24 + g**3\/3 - 10*g**2. Let r be d(13). Solve 2*j = 2*y + j - 9, r*j + 10 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 41466, 42599, 43732, 44865?\n\"Answer: 1133*b + 40333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124708747?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-2*sqrt(225))\/sqrt(5))\/sqrt(9) + -2 + (sqrt(5) - sqrt(20)\/sqrt(4)) + -4).\nAnswer: -12 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5*t + 9 = -8 - 7 + 36, -4*z + 16 = 2*t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-12))\/(5 + -1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 437345 to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -370190025*m - 127485875?\nAnswer: -370190025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 4*t - 4*t)*(-2*t + 0 + 0) + 1 + 29*t - 29*t + 10*t**2.\nAnswer: 14*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-45))**(-16)\/((k\/k**(11\/3))\/(k\/(((k\/(k*k*k**0))\/k*k)\/k))))**47 assuming k is positive.\nAnswer: k**(102319\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44a - -114aa?\nAnswer: 11949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 11:56 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 116048 divided by 8\nAnswer: 14506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 616.9899904 to 2 dps.\nAnswer: 616.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4) + ((-2)\/(-9))\/(1200\/1350).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y - 10 + 10)*(-5*y - 9 + 9).\nAnswer: -35*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2423 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*k + 255*k - 4 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = -2. Let m = j - 3. Solve m = -2*x - 2*f + 4, -3*x - 3 = -4*f - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 244de + -2?\nAnswer: 244dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7593605 millilitres?\nAnswer: 0.0007593605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62004827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002856336 rounded to seven decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 382\/34 + (-1364)\/5797?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcbpffefcfffhppfp. What is prob of sequence eb?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197529 is divided by 98752?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19, 61, 127, 217, 331, 469, 631?\n\"Answer: 12*a**2 + 6*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6, -8, -9.88?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*c + 1194*c = 258*c + 43*c + 169920 for c.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 4*c**2 - 6*c + 6. Let d be (-3)\/(2\/(-6) - (-6)\/(-9)). Give p(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -280, -1094, -2456, -4372, -6848, -9890?\n\"Answer: -f**3 - 268*f**2 - 3*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/100? (a) -5 (b) 1\/5 (c) -6\/17 (d) -2\/11 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 40*o**2 - 5*o. Let d(r) = 13*r**2 - 2*r. What is -8*d(l) + 3*w(l)?\nAnswer: 16*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 733467 and 642201.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 175 - 885. What is d rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 1:13 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s. Let q(y) = 2*y. Let d(p) = -2*q(p) - 3*r(p). Let u(x) = -3*x. What is d(u(c))?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-30) - 2\/3. Suppose -8 = -2*b - 2*b. Put w, b, 4 in descending order.\nAnswer: 4, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -666, -665, -664?\n\"Answer: z - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5*d = -10, 89*q - 4 = 84*q + 2*d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1387570424 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.694 + 19.094. What is the second smallest value in -1\/2, -4, l, 1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -23, 20, -0.18?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**3*u**2 - 2900*m**3 + 6113*m*u**2 - 2*m + 2*u**2 - 4 wrt u?\nAnswer: 2*m**3*u + 12226*m*u + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102963172?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360 = -4*y + 356, 3*y = d + 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-10 - -27) + -1 + 9?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 5*u**2 - 4*u + 5. Calculate x(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -882, -1765, -2648?\nAnswer: -3531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 17*v**3 - 8*v**2 + 16*v - 8. Let y(m) = -12*m**3 + 5*m**2 - 11*m + 5. Let o(b) = 5*c(b) + 7*y(b). Let j be (-2 - -1)\/1 + 5. Calculate o(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/3295 and -7\/138695?\nAnswer: 91400005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -1114\/87479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43997, 44042, 44089, 44138, 44189, 44242, 44297?\nAnswer: 44354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -796, -799, -804, -811, -820?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*b - b**3 - 2*b**4 - 50*b + 14 to h + p*b**4 + v*b**3 + m*b**2 + g*b and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 23546830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 11.03, 1, -0.5 in descending order.\nAnswer: 11.03, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 27 = 4*x + 3*u, 3*u + 7 = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14486197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1148\/(-280))\/(-41))\/(3\/510).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68484 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2924690792.\nAnswer: 2, 12959, 28211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*i + 48*i = 36. Is (4782\/8)\/(i + (-171)\/(-72)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 4:20 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bk when two letters picked without replacement from {t: 1, l: 1, k: 4, g: 1, m: 4, b: 4}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = 3*w + 3*p - 12, -4 = -p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4.1, 23, -36, 15\/2?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 9 = -3. Let d = t + -10. Suppose -4*v + d*v = -8. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 8*n - 4. What is h(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.120972869 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 44.1, 0.6, -5, -245.8?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f - 62 = -182. Let d(x) = -4*x + 68. What is the units digit of d(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 24 = 15*d. Suppose -10 = 5*h, -d*c = -5*h - 36 + 6. List the prime factors of ((-532)\/c)\/((-42)\/105).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605 = -62*u + 32 - 295 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5154 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: What is the least common multiple of 32030 and 16?\nAnswer: 256240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -206\/3 - -827\/12. Let z(s) be the first derivative of -1\/12*s**3 - c*s**2 - 1\/4*s - 8. Factor z(a).\nAnswer: -(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45996003 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -37*k**6\/6 + k**3 - 19*k + 66. What is the third derivative of x(a) wrt a?\nAnswer: -2220*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 407400.62715?\nAnswer: 407396.62715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*r = -71*r - 1215. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2562691.\nAnswer: 2562691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/21 + ((-10)\/4)\/(56\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 76*o - 5. Let a be i(2). Suppose 3*b - 6 = -3*w, -4*b + 31 - 8 = -w. Suppose 3*f - a = -5*t + 110, b*f - 2*t - 418 = 0. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/8 - (-2)\/(-4). Suppose h + q = -t + 16, 0 = 2*h + t - 35. Suppose 439*w - 431*w = 1120. What is the greatest common divisor of w and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.47 (b) 4 (c) -17\/4 (d) -0.1 (e) -0.4 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 11*c - 2. Let o be s(-4). Suppose 0 = -o*d + 22*d + 232. List the prime factors of d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 6*s - 36, -6*u + 2*u = -3*s - 72 + 75 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 5*o = -6, -2*o = -2*j - 6*o + 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddkddkc. What is prob of picking 2 k and 1 c?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*z**2 + 19225*z - 77380.\nAnswer: 5*(z - 4)*(6*z + 3869)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 0 + 5 - (4*sqrt(1216) + 3)**2)*4.\nAnswer: -77840 - 736*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 - 14*r**2 - 10*r - 56. Give n(-9).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 0. Let q = j + 9. Solve -5*b + 2 = -2*v + 1, 5*b - q*v = -1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 48, -62, 0, 4 in descending order.\nAnswer: 48, 4, 2, 0, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 14 = -11*g. Suppose 0 = -2*r - 4, u - r = -29 + 73. Calculate the greatest common divisor of g and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -27. Let c(z) = -128*z + 1. What is the tens digit of c(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31647 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109875611.09 + 109875661.08999883. Let g = 26 - 76. Let q = u + g. Round q to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 - 989. Let i(w) be the second derivative of w**3\/6 + 4*w + 1007. Give b(i(c)).\nAnswer: -2*c**2 - 989","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*q + 2329744 = -219*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -u - 0*p + 2, -p - 8 = -u. Let x(k) = 2*k - 18. Let i be x(u). What is the derivative of -11 - 5*j**i + 19 - 32 wrt j?\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 0, 184, 39 in decreasing order.\nAnswer: 184, 39, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**0*p**1*p*((p*(p\/(p*p**(-3\/7)))\/p)\/p)\/(p\/p**(-4\/5)*p) assuming p is positive.\nAnswer: p**(-48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 510.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 1276*c + 12143 = -8305 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 15*c**3 + 4*c**2 + 4*c - 20. Let o be n(-4). Let w = 28 - o. Is 80 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4658 bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**8\/1200 - j**7\/840 - j**6\/900 - 14*j**3\/3 - 28*j**2. Let a(v) be the first derivative of y(v). Let a(c) = 0. Calculate c.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2347 times -70\nAnswer: 164290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 216*s - 25. Let k(z) = 434*z - 46. Calculate -11*i(n) + 6*k(n).\nAnswer: 228*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - 5333636?\nAnswer: -5333660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 362, 1, -12 in decreasing order.\nAnswer: 362, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18138.3 months in years?\nAnswer: 1511.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/22 + (-2778)\/(-33). Calculate the highest common divisor of n and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**3 - 3*r**3 + r**3)*(6*r**2 - 3*r**2 - r**2) + 3*r**5 - 4*r**4 + 4*r**4 + (4*r**4 + r**4 - 3*r**4)*(3*r + 3*r - 7*r).\nAnswer: 7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74139714 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*g = -2, -g + 13 = 3*p. Suppose -4*x + 5*x = -2. List the prime factors of (p\/x - 3)*-6.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 67. Let w(v) = 15*v - 6*v - 3*v - j*v. Let i(r) = -13*r. What is i(w(s))?\nAnswer: 52*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-10*8\/16. Let m = 58\/5 - 764\/65. Let l = -1 - -2. What is the third smallest value in m, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4))**35*m*m**(-4)*m*m\/(m*m**(-11))*m assuming m is positive.\nAnswer: m**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -400 - -213311012?\nAnswer: 213310112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -947 = 5*v - 962 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 32?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62\/459 - -7169\/918. Let v be (2\/(-12))\/((-6)\/74086). Let j = v + -2053. Calculate the common denominator of j and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -14*v**3 + 9*v**2 + 10*v**2 - 4*v**2 + 10*v - 34 + 15*v**3. Calculate the smallest common multiple of f(-14) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5307.222 rounded to the nearest 100?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -9*u**2 - 4*u. Let j(p) be the first derivative of 3*p**2\/2 + 1537. Give k(j(l)).\nAnswer: -81*l**2 - 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 156413 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -121*w + 638. What is o(5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -3. Let t be 0 + 2 - (3 - i). Differentiate t*n**3 + 1 + 2*n**3 - 3 with respect to n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3 = -y + 2, 4*y + 2*t = -2. Suppose -3*q + y*q = -39. Suppose -22 = -5*r + 2*n, 0*n + q = 3*r - n. Solve -13 - 7 = -r*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwjbiiicbll. What is prob of sequence lwbb?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7800 = 4*p. Suppose -z = 5*z - p. Round z to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 118 + 148 - 72 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 404*q**2 + 3*q + 183. Let s(o) = -806*o**2 - 7*o - 360. Let f(r) = -7*l(r) - 3*s(r). What is the first derivative of f(a) wrt a?\nAnswer: -820*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 smaller than 4.51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 15*j - 20. Let n be z(14). Is n smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13851 - -14465. What is the highest common factor of 16 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4) - 434\/(-8). Let s be (-1 - -1)\/(-10 - -8). Suppose s = -u - 3*o + 18, 18 = 3*o + 6. What is the greatest common divisor of y and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (11 + -31 - -11) + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 1. Let l = 16 + -11. Let p be s(l). Let i be (-35 + 35)\/((-2 - -3)*3). Solve p*y - y = i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 304\/503, -4 in increasing order.\nAnswer: -7, -4, -1, 304\/503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -550?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24923097.\nAnswer: 3, 821, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64217.\nAnswer: 64217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 635405 + 120?\nAnswer: 635525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 11. Suppose -8*f + u*f = -35. Find d, given that -d + 0 - d**5 - 9\/2*d**2 - 9\/2*d**4 - f*d**3 = 0.\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 352 (base 6) to base 11\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4440 divided by -5\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 127 - (-29 - -110 - 64)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43625907 and 468.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 7:43 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510 is divided by 247.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/263 greater than -4169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvzx. Give prob of sequence xx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.5 - 7. Let x = 2 - d. Let f = 76 - 73. What is the second smallest value in -5, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/2 - 2\/(-2). Let m(j) = 6*j + 2 - 1 - o. Let q(g) = 2*g. Determine q(m(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*g**5 - 99\/7*g**3 + 30\/7*g**4 - 48\/7*g + 0 + 120\/7*g**2.\nAnswer: -3*g*(g - 4)**2*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37014 - -36943.0116. Let i = 71 + v. Round i to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-6)*168\/(-231)*(-429)\/18.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -44. Let p(q) = 235*q + 11. Calculate the remainder when h is divided by p(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 85 = -4*p - p, 0 = -3*y - 3*p + 63. Which is smaller: y or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3134, 11837, 26340, 46643, 72746, 104649?\n\"Answer: 2900*j**2 + 3*j + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 2*y + 35. Suppose y = 2*m - 15. Calculate the highest common divisor of 22 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 5.46?\nAnswer: -1.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.1. Let t = -1535.7 + 1608. Let v = 72 - t. Put k, v, 4 in descending order.\nAnswer: 4, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 572 and 728?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/l**(-3\/5))\/l)*l**(-1\/2))**(-2\/7)*((l\/(l*l**(-2)\/l))\/(l\/l**(-1\/6)*l))\/((l\/l**(-2\/3))\/l**(3\/5)) assuming l is positive.\nAnswer: l**(-43\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = -2*m. Suppose -167 = 9*b - 221. Let s be m\/(-2) + -2*3\/b. Let l(j) = -j**3 + 4*j**2 - 2*j - 3. Determine l(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1980 - 44*h + 1980 + (-4 + 0 - 4)*(-3*h + 4*h + h).\nAnswer: -60*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -160, -161, -162?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l - 34 = -3*k, -20 = 4*l. Suppose -13*g + k*g + 10 = 0. Solve -2*z = -g*n + 1 + 1, -2*n = z + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 11:55 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, d: 2, o: 2, v: 4}. Give prob of picking 2 w.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 458 - 622*c + 400 + 200 - 335 wrt c.\nAnswer: -622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2653*q + 607*q - 261*q.\nAnswer: -2307*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1629 by 2.\nAnswer: -1629\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12971 and -0.023539.\nAnswer: -12971.023539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153)\/(-66) + 3\/((-42)\/35).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 + 3474*v - 1171300.\nAnswer: 2*(v - 325)*(v + 9010)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*d**4 - 10246*d**3\/5 - 87836*d**2\/5 + 364408*d\/5 - 5808\/5 = 0. What is d?\nAnswer: -22, 2\/125, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (352\/66)\/16*3\/(-17).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 18. Suppose 0 = -q*j - 3*d + 25, -2*j - d = d - 14. Are j and 4 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158541?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 107.\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ab1 + 1?\nAnswer: ab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.374 - 0.2606. What is p rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2644915?\nAnswer: 5, 7, 13, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52080 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: Sort -20, -26, -4, 2.\nAnswer: -26, -20, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 33*f - 2 - 8)*(-f + 1 - 1).\nAnswer: 33*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454 = 4*i - 550. Let k = i - 177. Suppose 5*r + 19 = k. What is the smallest common multiple of r and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1585, 2183, 3177, 4567, 6353?\nAnswer: 8535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = -5*c + 5*h, c + 19*h + 18 = 23*h - 14 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2300 (base 5) to base 9\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v - 6. Let s(t) = -t - 3. Let q(m) = 2*g(m) - 5*s(m). Let u be 11\/2 - (-6)\/(-12). Let c be q(u). Put -1, c, 5 in decreasing order.\nAnswer: 5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2436 divided by -203?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/((-5)\/(-411))*(-48)\/(-9). Suppose -5*w + 5*v = -2000, i = 5*w - v + 188. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*r - 2*a, -4*r + 4*a = -a - 17. Suppose -55 = -4*c - 3*g - 5, -2*c + r*g = -34. Calculate the highest common divisor of 35 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109854 divided by -3\nAnswer: 36618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 5*j - 50. Let k = j - 8. Suppose -k*d + 200 = 3*d - 2*n, 15 = -3*n. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3234.677 milligrams to tonnes.\nAnswer: 0.000003234677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 163108*d*k**4 + 986*d*k**3 + 710126483*d wrt k?\nAnswer: 652432*d*k**3 + 2958*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1925\/16796 - -3\/988. What is the closest to -0.4 in -2\/11, -0.8, -3\/7, b?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -3118 + 3117.58. Which is the smallest value? (a) i (b) 0.03 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 23*w**3 - 3867*w**2 + 504*w - 24. What is o(168)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqqodojhhh. Give prob of sequence qq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 179161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4\/7*b**3 + 0 - 6\/7*b**2 + 2\/7*b**4 + 0*b = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4367502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7689*g**4 + 14*g**2 - 240*g + 1 wrt g.\nAnswer: -184536*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33497*a*j**3 + 2*j**3 - 359*j**2 + 12 wrt a?\nAnswer: 33497*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 6*f**2 + 7*f + 4. Let h be w(7). Suppose 4*z + h*r - 265 + 25 = 0, 2*z + 4*r - 130 = 0. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -7*w**3\/6 + 4*w + 848. Let s(r) = 6*r - 17. Determine s(q(x)).\nAnswer: -42*x - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/(-1092)*(-1 + (-362)\/30). Let q = u - -1\/39. Which is the second smallest value? (a) 2\/7 (b) q (c) 0.7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -127 + 60 + 11 + 36.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12220 + 102?\nAnswer: -12111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g - 2*g + 2*g + 4*g. Let c be (0 - -2)\/(-1) + 4. Let j(b) = -4*b. Let x(r) = c*j(r) + 11*l(r). Let s(f) = -2*f**2. Determine x(s(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 8*h - 12 = 0. Let o = 0 - h. Let t(u) = u**3 + 8*u**2 + 11*u - 6. Let f be t(o). Are -1\/65 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 - 8*t**2 - 23*t - 90. Let i = 49 - 18. Calculate the remainder when i is divided by u(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323892250?\nAnswer: 2, 5, 11, 117779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -81380.66044?\nAnswer: -81380.56044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, -1\/8, 13, 0.4 in decreasing order.\nAnswer: 13, 0.4, -1\/8, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 7:19 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**4 + x**3 + x**2 + 5. Let f(h) = 2335*h**4 + 7*h**3 + 7*h**2 - h + 1089. Let s(g) = -f(g) + 7*y(g). Find the second derivative of s(a) wrt a.\nAnswer: -28188*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726 = 2*q - 2*j - 658, j - 158 = 5*q for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11210211012 (base 3) to base 13.\nAnswer: -34100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4512045.6 nanoseconds?\nAnswer: 0.000001253346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i + 9. Let x(o) = 13*o + 18. Let b(d) = -287*d - 399. Let q(z) = -6*b(z) - 133*x(z). Calculate q(v(l)).\nAnswer: 21*l - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1985)\/(-2)*(-36)\/(-15). Suppose -441 = 3*x - p. Let l = x - 289. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h - 9 = 2*c + 25*h, 5*h = 5*c + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19381, 19443, 19527, 19627, 19737, 19851, 19963?\n\"Answer: -u**3 + 17*u**2 + 18*u + 19347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.3 and -76.\nAnswer: 402.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.525 times 8?\nAnswer: 60.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**6\/(i\/(i*i\/((i*i*i\/(i\/(i\/(i\/(i**(-1)*i)*i)*i)))\/i)*i))**(-1\/3) assuming i is positive.\nAnswer: i**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - 5. Suppose -z + o*z = 0. Suppose -4*u = -3*g - 0*u + 7, g + 3*u + 2 = 0. Solve z*x - g = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14065709 by -12.\nAnswer: -14065709\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 5733 - 453 = 0. Let j = -546 - r. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61396 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3744205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328862193.\nAnswer: 3, 11, 953, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 2, g: 1, b: 2}. What is prob of sequence bb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 19, 3 in increasing order.\nAnswer: -3, 2, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 6*g**2 - 5*g - 3. Let o be -1*(2 - -1) - -7. What are the prime factors of q(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-621*a - 185*a**2 + 621*a)*(-a**2 + a**2 - 2*a**2) + 0*a**4 + 0*a**4 + 2*a**4 to h*a**4 + u + o*a + c*a**2 + i*a**3 and give h.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-50)\/4*(-19)\/(29298\/686004). Let a = 5561 - t. Is 1 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 6*z**2 - 4*z - 12. Let j be r(-6). Suppose -j*w + 7*w = -10. Suppose w*b - 617 = 1437. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/9 - -1\/18. Let x = 177426.4 - 177426. Which is the nearest to l? (a) x (b) -3 (c) -0.1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -382*w + 3. Let p(y) = 2*y. Give p(f(z)).\nAnswer: -764*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2250270 is divided by 2107?\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0791 to 1 decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(1\/32)*v*((v**(-31)*v)\/v)\/v)**27)**(2\/5))**(-11\/3) assuming v is positive.\nAnswer: v**(98109\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(153) - (1 + sqrt(153))*-4 - sqrt(153)) + sqrt(153))**2 + 0 + (sqrt(153)*-2)**2 + -3.\nAnswer: 360*sqrt(17) + 12132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d5 + 5dfe2?\nAnswer: 5e2b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -406*j - 4063. Calculate z(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-38592271\nAnswer: -7718454.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 34 - -7 - ((0 - 8) + 103 + -96).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10.3062 (b) -5 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (13 + -31 - (41 - 7)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6874 divide 3642257640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6792730 is divided by 13531?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + 123?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 300526337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, w: 1, c: 1, j: 4, o: 4, q: 3}. What is prob of sequence ojjw?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71786.\nAnswer: 2, 11, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 3*y**2 - 9*y + 15. Let x be z(-5). Suppose 6*o + 84 = x*o. Solve 5*q = -4*f + o, -6*f = -f - 3*q - 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23021 - 0?\nAnswer: -23021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 2\/3*i**3 + 3*i + 9 - 4*i**2. Let r(t) = -t**2 + 4*t + 1. Let a be r(2). Give k(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + (-1 - -2) + 21 + 60 is divided by ((-58)\/8)\/((-3)\/12).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i**3 + 4*i**2 - 4*i + 6. Let w(b) = 10*b**3 - 5*b**2 + 5*b - 6. What is 5*p(a) + 4*w(a)?\nAnswer: -5*a**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -88949300 to the nearest 1000000.\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6560 and 26080?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34581.52ng to milligrams.\nAnswer: 0.03458152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.068 + 0.132. What is the third biggest value in k, -10, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421*b - 5*h = -420*b + 30, 3*b = 5*h - 10 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and -8.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8319*t - 24. Let c(p) = 1664*p - 5. What is -24*c(s) + 5*q(s)?\nAnswer: 1659*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (312 - 383 - -143) + (-14 - 2)*2\/4.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248318 to the power of 1\/2, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l - 18. Let v be s(17). Suppose -5*i + v = -i. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 + (-25 - -25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1312276\/(-16)*(-8)\/28 - 7\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-18)\/m**20)\/(m*(m**(-33)*m*m)\/m)**(-1\/4) assuming m is positive.\nAnswer: m**(-183\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-52)\/18)\/(14\/(-63)) - 4. Sort 2, x, -281 in ascending order.\nAnswer: -281, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.6 and 1087091?\nAnswer: 1087091.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, -13, -27, -49, -79, -117, -163?\n\"Answer: -4*b**2 + 6*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 k when three letters picked without replacement from {k: 7, h: 3}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.97369 litres in millilitres?\nAnswer: 56973.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/720 and -74\/2390205.\nAnswer: 114729840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 6:52 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 212448.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113120 - -11?\nAnswer: -113103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*r - 2*r - 2*m, -3*r = 5*m - 5. Suppose r + 1 = 2*d. Suppose d*g = 7*g - 272. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2)*((2*a**3 + 2*a**4 - 2*a**3)*(-5*a + 4*a + 0*a) + 84*a**5 - 196*a**3 - a + 33*a**3 - 87*a**5).\nAnswer: 10*a**5 + 326*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36598467 to the nearest integer?\nAnswer: 6050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/48250 and 127\/8935900.\nAnswer: 44679500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by (19\/(-95))\/((-2)\/50)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -2 + 0 - (-29 - (2 - 41))) + 56.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (300\/200)\/((-3)\/(-8)). Suppose 712 = -7*t + 8*t + v*b, 5*t + b - 3655 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 13 + p**4 + 12*p**2 - 19*p**2 - 6*p**4 + 4*p**2 + (-4 - 2 + 5)*(-3*p**4 - p**4 + 3*p**4).\nAnswer: -4*p**4 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1964*z + 1966*z - 5 = 5*l, 5*z + 3*l + 34 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 25, 0 = 4*r + 2*h - 4*h - 50. Let m be 30\/(-4)*(-12)\/r. Solve -4*t = -0*t + 3*g + m, 5*g = -15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from khkkkkhkuuhkhbzgzhkb?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**3\/2 - 5715*l**2 + 34283*l\/2 - 11427 = 0.\nAnswer: 1, 2, 11427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2531662 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t - 39*t + 8 = 4*h, -t - 6 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) 3\/4 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i\/i**(-1\/25))\/(i\/(i*i**(3\/7)*i)*i))\/((i\/i**(1\/17))\/(i\/((i**24\/i)\/i))) assuming i is positive.\nAnswer: i**(-54956\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -108 + 5*p**3 - 422 - p**2 - 3*p**3 as n*p**2 + j*p + w*p**3 + q and give q.\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/47250 and -103\/126000?\nAnswer: 378000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a - 47. Let p be d(-11). Let q be (-2 + (-5)\/p)\/(6\/(-108)). Calculate the highest common factor of q and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 6) to base 9\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/3 (b) 1\/6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 times -2?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from kkkkkkkzkkkkkzz?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 138, 247, 374, 525, 706?\nAnswer: 923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 + -38. Let d = 28 - n. Factor 0 - 1\/3*u**2 - 1\/3*u**d + 0*u.\nAnswer: -u**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05855 times -2.7\nAnswer: 0.158085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18558 and -5?\nAnswer: 92790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.8 + 7.8. Let m = 4 - -1. What is the second smallest value in -1\/12, -2\/19, k, m?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-274)\/(-12) - 3\/(-18). Let h = -27 + u. What are the prime factors of 12\/h*111\/(-9)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -254*g**3 + 36*g**2 + 18564*g wrt g?\nAnswer: -1524*g + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69285*f**3*q**3*t - 33*f**3*q*t**3 + 23*f**2*q*t - 2*f**2*t**2 - f*q**3 - 3*q*t**2 - 382*t**3 + 6*t wrt f?\nAnswer: -415710*q**3*t - 198*q*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*((-60)\/(-225))\/((-4400)\/(-120)).\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 69643492 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.31673 millilitres to litres.\nAnswer: 0.04931673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**5 + 32900*y**4 - 3817144*y**3 - 75823632*y**2 - 469180512*y - 952604928 = 0. Calculate y.\nAnswer: -6, 136, 8107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85592099?\nAnswer: 85592099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31009 and 28765?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 422695\/208 - (-9)\/(-48). What is the greatest common factor of 176 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8690912 * 0.4\nAnswer: -3476364.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + p. Let v be p - (2 - 5 - 1). Solve 2\/13*x - 8\/13*x**3 + 8\/13*x**v - 2\/13*x**2 + 0 = 0.\nAnswer: -1\/2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122684544.\nAnswer: 2, 3, 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/639 and -83\/66740?\nAnswer: 600660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n**4 - 5*n**3 + 13*n - 5. Let g(s) = 13*s**4 - 8*s**3 + 20*s - 8. Let k(x) = 5*g(x) - 8*j(x). What is the second derivative of k(h) wrt h?\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 5*p**2 + 3*p - 7. Let u(n) = n + 17. Let w be u(-12). Let l be q(w). Let k = -2 + 8. Solve 2*t + l = k*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -281, -2812, -10163, -24896, -49573, -86756, -139007, -208888?\n\"Answer: -427*u**3 + 152*u**2 + 2*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12252940*w + 12252940*w + 5*w**2 + 16.\nAnswer: 5*w**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 - 1.72. Let i = -0.2 + r. Let s = -5 - i. Put s, 2\/23, -4 in increasing order.\nAnswer: -4, s, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13922907.\nAnswer: 3, 4640969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8324.4987 - 8324. What is t rounded to two decimal places?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766*w + 214*w + 630*w + 2 - 2.\nAnswer: 78*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 3. Suppose 38 = 5*t + 5*s - 32, -4*t = w*s - 61. Calculate the remainder when (-4)\/6 + 231\/9 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 40 = 4*w, -15 = -2*w + 111*z - 114*z. Let i(j) = 7*j - 16. Let a(r) = 11*r - 24. Let h(q) = 5*a(q) - 8*i(q). Determine h(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -44.71. What is r rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 54*j**2 - 4*j + 3. Suppose 4*n = 3*x - 42, -5*x - 2*n + 70 = -n. Calculate the remainder when f(1) is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -346387\/326 - -2125\/2. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1825 - 2976 - 1751 - g - 176 to the form d + l*g and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140 - 116. What is the smallest common multiple of (3\/(-2) - -3)*6 and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + t + 12 - 7 - 3 + 3 - 2*t + (-3 + 3 + t)*(-1 - 4 + 3) in the form v*t + i and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 68*n - 6. Let q be g(3). Suppose 5*d - 3*d - q = 0. What is the greatest common factor of d and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 727627 + -15995687\/22. Let i = 1093\/2 - r. Let d = -82\/9 - -8. What is the common denominator of i and d?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from ffjxfkkjxf?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 4*t + 132. What is the lowest common multiple of 42 and t?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -3 - ((55 - 2) + -7 + -5)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12966657 times 2\nAnswer: -25933314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d - 1 + 20 - 5 + 2*d to y + w*d and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/8586 and 157\/23850.\nAnswer: 214650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqhhrvrqtqdqtrhqqr. What is prob of sequence tv?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**3\/5 + 2298*j**2\/5 + 2236*j\/5 - 13776 = 0.\nAnswer: -1148, -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.727653 litres in millilitres?\nAnswer: 7727.653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 70.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5604 = 6*s - s - 8*s. What is the remainder when s is divided by 1852?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5054*h - 5069*h = -180. Solve -21*j - h = -17*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 528, 1054, 1580, 2106, 2632, 3158?\n\"Answer: 526*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from llmllmmlmmmlmmml.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 18287 = 788. Suppose 1541 = 4*w - 3*j, 4*w + 2*j - 625 = r. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -85*k - 11038. What is the remainder when n(-146) is divided by 81?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -8. What is the remainder when ((-2)\/2)\/(5\/(-150)) is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6824 + 6823.7. What is the fifth biggest value in -1, -5, q, 0.2, 15\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 961*a**3\/4 - 681845*a**2\/2 + 483780025*a\/4 = 0. What is a?\nAnswer: 0, 21995\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36569 to 3 dps.\nAnswer: -0.366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -9*o**2 - 6. Let m(u) = -u**2 - 1. Let v(t) = l(t) - 6*m(t). Let k(p) = -4*p**2 + 10. Let z(i) = i**2 - 3. Let x(f) = 3*k(f) + 10*z(f). Give x(v(y)).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 1610\/15 - ((-13)\/(-3) - 5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1730 divided by -36234.\nAnswer: -865\/18117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1806 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-10)\/d))\/(d\/(d**(11\/3)*d)))**(-45)\/((d\/(d*d\/d**4*d)*d)\/d**(2\/5)*(d\/d**(-2\/7)*d)\/d**(1\/12)) assuming d is positive.\nAnswer: d**(-298117\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 4*v - 64 = 0. Let r be v + (-3 + 5 - (2 + -1)). Suppose -2*m + 109 = -r. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a = 20*a - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -23300332?\nAnswer: 23300333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/90*(-234)\/(-52)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g = -3*u - 45, -4*g - 331 = -339 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 343863 divided by 39\nAnswer: 8817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 123*((-20)\/(-8) + (-1802)\/636).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -144237 - -144254.10785. Let q = 17.1 - l. What is q rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13221818 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/15 of a day?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(2\/11)*t*t*t**(2\/15)*t**(2\/3)*t\/t**8 assuming t is positive.\nAnswer: t**(-186\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -62, -0.4, -0.19, -3\/8, -4\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 13 - 31 - 4*j**2 + 7*j**2 - 15.\nAnswer: 3*j**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.077 + 6.323. Let u = h + -6.71. Round u to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 2*j. Suppose 4 + 16 = -j*d. Let m = 5 - d. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8*f**3 + 84*f**2 - 8*f**3 + 1 + 12*f**3 - 2*f - 83*f**2. Suppose c - 10 = -3*a, 6*c - a = 3*c + 10. Suppose -c*m + 2 = -2*m. What is b(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((40\/(-5))\/(-8))\/2*(-64)\/2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10}. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3084 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 7 = 4*q. Let z = 11 + q. Solve -1 = -5*k - z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 321 + 129. Suppose -3*q = -8*q + g. Suppose 0 = b + 6*b - 70. What is the highest common factor of q and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 75, 0 in ascending order.\nAnswer: 0, 3, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.5 + -19. Sort -1, v, -4 in decreasing order.\nAnswer: v, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*j = -89*j + 357 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -2. Suppose -5*a - q = -57. Suppose 118 = -1312*d + 1371*d. Solve -4*x - a = -k, -4*k = -0*x - d*x - 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-68)\/770*-11 + 4\/(-10). What is the closest to f in 4, 0.03, 14?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + -1*((sqrt(405)*-3*-6)**2 + 0)) + 5.\nAnswer: -262425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155.6 - -155.4. Let j be (12\/10)\/3 - 1. Let k = -0.11 + -3.89. Which is the closest to k? (a) j (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -60 + -34a7?\nAnswer: -3507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(832\/(-28))*7\/((-441)\/9)\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4*-1 - -2) + 2. Suppose -5*g + z + 2*z = 2, -g = z - 6. Suppose -5*i - 6 = 4*m - 25, -5*i - m = -16. Solve g*j - i*j = o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -0.2 (b) 0.6 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 8*c - 9. Give k(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118054 by 59027.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003489862 to 5 decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -42, -4, 11, -6, -9, 3 in decreasing order.\nAnswer: 26, 11, 3, -4, -6, -9, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - q)*(-q + 2*q + q) + 0*q**2 + 2*q**2 - q**2 + 4*q**2 - 4*q**2 - 10*q**2)*(-q + 2*q**3 + q).\nAnswer: -22*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/243441 and 109\/72.\nAnswer: 1947528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d**2 - 14*d + 44. Let n be h(6). Calculate the greatest common divisor of n and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*g + 115 = 48*g. Suppose 0 = 28*n - g*n + 60. Let l be (-5)\/30 + (-8040002)\/n. What is l rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 6*l + 9. Let q be p(-8). Let c(t) = -t - 1. Let y be c(q). Let v = y + -5. Calculate the highest common divisor of 8 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68826281 a multiple of 2047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**3 + 2*f**2 - 2*f + 1. Let h be q(1). Let v(w) = 2*w**2 - 6*w - 7. Does 4 divide v(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43001468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -402 + 12461\/31. Sort -2, 0.1, j in increasing order.\nAnswer: -2, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 405 = -3*i + 785, -2*w = -4*i + 1582. What is the greatest common divisor of 495 and i?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -554 = 8*w - 810 - 1304. Solve -199*h + 24 = -w*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 2897.\nAnswer: -3\/2897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:45 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**5\/7 - 552*k**4\/7 + 39714*k**3\/7 - 225196*k**2\/7 + 441720*k\/7 - 291600\/7 = 0?\nAnswer: 2, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*g**2 - 82*g**2 - 77*g**2 - 85*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15322 by -40656.\nAnswer: -7661\/20328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 4*t - 6, -43 = 2*y + 8058*t - 8055*t for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -174125\/6696 - -808\/31. Calculate the common denominator of c and -145\/12.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -61*b + 8*b + 52*b - 4 + 5. Let k(m) = -4*m + 2. Let o be (2\/5)\/((-1)\/(-5)). What is o*k(i) - 4*u(i)?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69402?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0685, 8\/3, 0 in ascending order.\nAnswer: 0, 0.0685, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 - 59 = -3*d - 106, -o - 15 = -2*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 2:50 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734748093.\nAnswer: 3, 857, 95261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55712*n**5 - 2*n**2 - 15*n + 79?\nAnswer: -3342720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 743 (base 10) in base 2?\nAnswer: 1011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**18\/r)**(-2))**(-36) assuming r is positive.\nAnswer: r**1224","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -212, -322, -432, -542?\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 9. Let s be b(6). Let z be (-2 - s - 0)*1. What is the units digit of (-20)\/(-5) - (-39 + z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -65)\/13 + 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 6*f = -67 - 13, -21*i - 6*i - 7*f - 122 = -23*i for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 12\/25 of a microgram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**4\/12 - 7*f**3\/6 + 7*f**2\/2 - 3*f. Let p be i(-8). What are the prime factors of (-1)\/p*2 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1471*r**2 - 5*r + 6*r - r - 765*r**2 as k*r**2 + g + c*r and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*z + 7*z + 207*z)*((2*z - z + z)*(z + 3*z - 3*z) - 4*z**2 + 0 + 0).\nAnswer: -604*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4755996013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1245 + -7?\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 265 = 2*z - 2*q, 0 = 5*z + 5*q + 475. Let w = 452\/5 + z. Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c - 5*c + 2*c)*(2 - 6 + 0)*(2*c - 4*c + 3*c) as k*c + g*c**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 495*m - 9405. Calculate x(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*u - 1, u = 3*q - 1 - 10. Suppose 2*w = b + 13, -2*w + 3*w + 16 = -q*b. Suppose 4 = t + 2*g, -g + 5*g = -12. Solve -w*h = h + t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((221\/(-17))\/208)\/((-3)\/1392)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12221265751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-30 + (-6644)\/(-176))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnmay. Give prob of picking 1 m and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 3 + 4)*(57*w**3 - 3446 + 3446) + 4*w**2 + 3*w**3 - 2*w**2 - w**3)*(-4 - 6 + 5) to j*w**2 + p + o*w + u*w**3 and give u.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2010, 4043, 6074, 8103, 10130, 12155, 14178?\n\"Answer: -a**2 + 2036*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 3*l - l + (-2*l + 2 - 2)*(1 + 0 - 2))*(23*l**2 - 23*l**2 - 3*l**4) + (-3*l + 3*l - 2*l**2)*(7*l**3 - l**3 - 2*l**3).\nAnswer: -17*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 173*h**2 - 179*h - 992. Let s be f(-172). What is the closest to 1\/5 in 4, s, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1101 - -1075.62. Let g = f - -25. What is g rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (14 + -22)) + 12\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 6. Give g(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 4*v + 3*v)*(0*v**3 - 3*v**3 - 5*v**3 - v**2).\nAnswer: -8*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m - 4. Let t be u(3). Let i(k) = -k**2 - 9*k + 9. Let b be (-9344)\/949 - (30\/26 + -1). Let v be i(b). What is the third biggest value in t, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22.02 - -4.18. Let w = -0.16 + m. Let n = 13 + w. Sort 2\/11, -4, n in decreasing order.\nAnswer: 2\/11, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, i: 4, y: 1, k: 1, q: 1}. Give prob of sequence kqiy.\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3685 - 6337.\nAnswer: -10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, -12, -32, -60, -96, -140?\n\"Answer: -4*b**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 1. Let r(c) = 13*c**4 - 4*c - 10. Let o(u) = 4*p(u) - r(u). Find the first derivative of o(y) wrt y.\nAnswer: -52*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 9*l + 13*l - 22 = 0, 2*h = -2*l - 22. Which is the third smallest value? (a) h (b) 3 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 256*x**5 + x**4\/4 - 472*x**2 - 2822. What is the second derivative of r(o) wrt o?\nAnswer: 15360*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53 and 91319?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 + 0*k + 2*k**2 - 4*k**2 + 2*k - 7. Let o be h(-4). Let m(l) be the second derivative of l**5\/4 + l**3\/3 - l**2\/2 + l. Determine m(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*m + 242*m + 2*j + 720 = 0, -157 = -m + 3*j. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8.5, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -6.3?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 1\/4 (b) -1 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/933 and (40\/(-12) + 4)\/(0 + 120\/(-310))?\nAnswer: 5598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-80))\/(1*6\/(-5)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 156299593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1844*g - 961. What is the ten thousands digit of d(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*y - 3*a - 17, 0 = 3*y - 3*a - 12. Suppose 7*r - 440 = 12*r. Find the common denominator of (r\/3)\/y*(-5)\/(-30) and -103\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4338458 and 82708.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -68, 0.2, -8\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 169\/126 + -13\/21. Suppose 0 = 4*w - 5*x + 9464, 5*w + x = -5011 - 6819. Calculate the common denominator of h and w\/168 - (-1 + -8)\/3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/10 + 1)*15. Let a(g) = g**2 - 36*g + 22. Let y be a(8). Let u = 258 + y. What is the greatest common divisor of l and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1197)\/77 + 3 - -12\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5)**39\/((((d*d**10)\/d)\/d)\/d)**(-4) assuming d is positive.\nAnswer: d**227","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*16*(-2 + (-50)\/(-20))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1100002*p + 1100159*p - 7536 = 0 for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-7)*n*n**(-2\/17)*(n**(-2\/3))**(-3))**(4\/7))**34 assuming n is positive.\nAnswer: n**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - b + 6*b = -59, -2*z - 5*b + 6 = 0. Calculate the remainder when 39 - (-1)\/(-1) - 1 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 15098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33701, 41825, 49949, 58073, 66197, 74321?\n\"Answer: 8124*d + 25577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 5515, -158.\nAnswer: -158, 93, 5515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -161*b**3\/6 - 9*b**2 + 399*b - 1. Let r(h) = -h**2. What is r(l(c))?\nAnswer: -25921*c**2 - 5796*c - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -141317184 divided by 4?\nAnswer: -35329296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -33, -1, -62758 in descending order.\nAnswer: 5, -1, -33, -62758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*1*525\/(-15). Calculate the common denominator of -25\/4 and (-4)\/14 + (-342)\/n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -5. Let o = -5 - m. Which is the nearest to 0.1? (a) -0.4 (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*k**2 - 43*k**2 + 1190*k**3 + 131*k**2 - 44*k**2 + 4*k - 4*k.\nAnswer: 1190*k**3 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r + 13*r = 41*r - 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-44))\/((-13)\/((-2717)\/456))\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/8 (b) 7 (c) 3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 19*w**2 + 84*w - 15. Is j(-29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 + -94. Suppose -2*c + 81 - 51 = 0. Solve r = -0*h + 3*h - c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 390 divide 1649462100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*z - 4 = 107*z + 86 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -52\/5. Which is the second biggest value? (a) -1\/2 (b) z (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 - u + 2. Let b be k(1). Let l be 0 - ((-39)\/(-90) - b\/(-24)). Which is smaller: l or -2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**7\/840 + p**6\/60 - p**5\/60 + p**3\/2 + 5*p. Let v(o) be the second derivative of h(o). What is the tens digit of v(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + -163\/3. Let c = 0.29 + -2.29. Let f be 999\/111 - (-6 - -2)\/(-1). What is the nearest to -1 in c, l, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -507*x**3 + 18*x**2 - 18*x + 1. Let n be l(1). Which is bigger: n or -508?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3143, 6280, 9415, 12548, 15679, 18808?\n\"Answer: -i**2 + 3140*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -9.513.\nAnswer: 0.9513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 6.2, 0.5, 10, -41\/17, -0.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-218)\/(-1962)*(-18)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 6952752?\nAnswer: 34763760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 - 17*a - 5. Let s(y) = y - 1. Let i(l) = -d(l) - 4*s(l). Let b be i(-6). Let p be b\/(-5) - (-18994)\/(-10). Round p to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -253\/101 + 1\/202. Let v = 0.07 + 0.03. Which is the nearest to v? (a) g (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1148559 - 503\nAnswer: -1149062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*p**2 + 59*p + 53*p + 115*p - 227*p.\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 less than -0.36?\nAnswer: 2.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 27 - (394 - 364).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 6*f - 121 = -5*f + 2*f, 24*f = -2*b + 20 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2643 is divided by 230?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*j + 25. Suppose -h - 8 = -j*h. Let z be 2*(-1)\/h + 1. Solve z = -5*x + 11 + 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from {t: 1, i: 1, o: 1, l: 1, w: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**3 - 8*f**2 + 21*f + 4. Is v(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 + (-1016)\/(-840). Let g = z + -1\/7. Let k = -6.79 - -7.29. What is the nearest to -1\/3 in k, g, 4\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**5\/20 - v**4\/12 - v**3\/6 - 34*v**2. Suppose 4*n + 0*n + 4*h - 40 = 0, -5*n = -5*h - 70. Let b = n - 14. Give c(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m - 201191 = -37*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -194449993644409\/18696542817085 + -18\/1189725919. Let c = 1\/3143 + u. Let x = -132661\/10 + 13254. What is the common denominator of x and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 279*b + 634 - 50 - 26 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81\/4 of a litre?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 4*m**2 + 6*m + 5. Let n be j(-5). Let g(d) = n - 1 + 1 + d. Let p(l) = -4*l + 1. Determine -2*g(z) - p(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, g: 3, m: 5, l: 1}. Give prob of picking 2 g, 1 m, and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -11.6 and -0.28.\nAnswer: -11.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 3:24 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 555505822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34.52 - -34. Let t = 0.02 + j. Which is the smallest value? (a) t (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 a when four letters picked without replacement from nnaanaaaaa?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69305784?\nAnswer: 2, 3, 2887741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(2\/11)*z))**(-3\/4)*z**(4\/11)\/z**2 assuming z is positive.\nAnswer: z**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2334898675.\nAnswer: 5, 93395947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36347963*f**2 - 80 + 66 + 36347961*f**2.\nAnswer: -2*f**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503 = -n + 5*i - 2*i, 4*i - 1932 = -4*n. Suppose -2*r + 2*f - n = -7*r, -3*f + 12 = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Suppose 33*d = 11*d + 88. Which is the nearest to -2? (a) 0.4 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915*n + 1188 - 3933 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -18*n - 18. Let v(g) = -16*g - 16. Determine -5*f(p) + 6*v(p).\nAnswer: -6*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (7 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 + -44)\/(18\/(-27)) - 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 22*x - 211. What is i(23)?\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 189*l + 30567. What is c(-156)?\nAnswer: 1083","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 2. Let o be s(-4). Let p(d) = -52686*d**3 - 7*d**2 - 13*d - 2. Let n be p(o). Round n to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-10)*(-10)\/3. Suppose 3*j = 3*k - 30, p*j + 3*k + 50 = -0*j. Calculate the least common multiple of (20\/5)\/((-5)\/j) and 26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26087892 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 4*v + 7. Let s be w(8). Let o = s + 129. Let u = -34 + o. Calculate the greatest common divisor of u and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 841 + -858. Suppose -n - 4 + 0 = 0. Which is the closest to -1? (a) v (b) -2\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -14. Let d(a) = -a**2 - a. Let r(g) be the first derivative of 8*g**3\/3 + 3*g**2 - 2*g - 8. Let q(c) = f*d(c) + r(c). Find h such that q(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - -0.39. Let t = -0.1 + -0.4. Let r = t + n. Which is greater: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 15 (c) 0.3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*a + 5*s, 2*a = -3*a - 5*s + 40. Let j = a + -13. Is (-41)\/(-2 - 6\/j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -334, -658, -976, -1288, -1594?\n\"Answer: 3*l**2 - 333*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = 126*i - 5*i + 2052 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (30\/(-125))\/((-6)\/(-20)). What is the second smallest value in 2, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34035388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 94567621 to the power of 1\/3, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*k**4 - 1 + 2 + 4*k**4 - 2 + (-k**2 - k**4 + k**2)*(6 - 1 - 3) + k**2 - k**2 - 2*k**4 + 0*k**4 - k**4 - k**4.\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q + 4*q - 5*q - 3 - 2*q + 3 + (-2 - 2*q + 2)*(1 - 2 + 3) + q + 0 + 0)*(-6*q + 5*q + 22*q) to the form i*q + j*q**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(704) - sqrt(11))*1 - (sqrt(1331)*1 - sqrt(1331))))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5076.1 - 4735. Let p = a - 323. Round p to zero decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (6 + (1 - 7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2335 - 602. Let t = k + -1059. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212102120 (base 4) to base 3\nAnswer: -21222010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65\/4 + -5\/4. Calculate the common denominator of v and 57\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4617)\/90 - (-3)\/(-15))*-12. Let g = m + -573. Calculate the remainder when g is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -8*u. Let h(j) = 15*j + 1. Let d(i) = -4*h(i) - 7*z(i). What is the first derivative of d(r) wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z = 0. Suppose z*h - 8 = -4*h. Suppose -3*r = -8*r. Solve h*u - 7*u = r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 - 8*r**2 + 8*r - 12. What is the units digit of n(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -0.0340879?\nAnswer: -1.0340879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o*o**(-1\/5)*o))*o\/o**(-1))\/(o**(2\/5)*o*o**6))\/((o\/((o**(-3\/8)\/o)\/o))\/((o\/o**3)\/o*o))**(-9\/2) assuming o is positive.\nAnswer: o**(1727\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 3*k + 6, -2*k + 3 - 7 = -3*u. Sort 6, u, -3.\nAnswer: -3, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 7*s**5\/20 + 3*s**3\/2 - 8*s. Find the second derivative of c(d) wrt d.\nAnswer: 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 3 - 3)*(-5*v + 3*v - 9*v)*(-2*v**3 - 3*v**3 + 4*v**3).\nAnswer: 11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5698\/(-26) + (-10)\/(-65). Let a = b - -413. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/46388?\nAnswer: -9\/46388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 319.5785 decades to years.\nAnswer: 3195.785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -95.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8849 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2039 - -1779. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*-1.5735\nAnswer: 0.141615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8 = -b, 0*b + 2*d - 2 = -b. Let i = 11 - b. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-18))\/(2\/(-1185)). Let u = 15 + p. What is u rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(6\/(-26)) - (-67 + 72). Which is bigger: b or 6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k\/k**(-1))\/k)))**(3\/4))**(2\/79) assuming k is positive.\nAnswer: k**(3\/158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-15)*(-36)\/80.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.73 + -0.73. Let d = 1246\/13 + -96. Let t = 4.96 - -0.04. Which is the closest to d? (a) t (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13 - (1 - -1)\/2. Let q(s) be the second derivative of -s**5\/20 + s**4 + s**3\/6 - 7*s**2\/2 - 32299*s. Give q(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 1 - (712 + -730)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 1. Let g(o) = -4*o + 18. Calculate -4*g(x) - 72*z(x).\nAnswer: -56*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*y + 158*y - 2*t = -189, -5*y + 81 = -4*t for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -0.5131?\nAnswer: -13.4869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 8149?\nAnswer: 8149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 13*i**3\/3 + i**2\/2 - 5*i - 8. Let l(n) be the first derivative of h(n). Is l(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**2\/2 - 513*d\/2 + 23720 = 0.\nAnswer: -593, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 209280 divided by -6?\nAnswer: -34880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -16 (c) 1\/8 (d) 0.24 (e) -0.4 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-18))\/(5\/20)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 0.5, -1, 4.3, 2 in increasing order.\nAnswer: -1, 0.02, 0.5, 2, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 7*w - 3. Let l be u(7). Let r be 2\/3*-5 - l. What is the third biggest value in r, -3\/2, 1\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*f**2*g**3*r**3 + 1335*f**2*r**3 - f**2 + 2*g**3*r**2 + 79741*g**2*r**2 wrt r.\nAnswer: 102*f**2*g**3 + 8010*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13a79 (base 14) to base 4.\nAnswer: 23321023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/72)\/(1\/2). Let t be -1*((-17)\/5 + 3). Which is the closest to v? (a) -1\/2 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2 - g**4 - 3*g**3 + 0*g**3 + g**2 to the form c*g**3 + h*g**2 + s + t*g + a*g**4 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -19 * -0.5\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**2 + 318*w - 8427 = 0.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-4))\/(-2)*21\/7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 70042 + 164?\nAnswer: 70226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: a61 (base 11) to base 7\nAnswer: 3503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45725 - 45724.999911037. What is k rounded to six decimal places?\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3*p - p + 3*p + p - 6*p + (-4*p + 4*p + p)*(1 - 2 + 0) + 2*p - p + p - 3*p + 5*p - 3*p)*(7*p - 24*p + 18*p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 1034?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 575*g**2 - 292*g**2 + 367*g - 2*g**3 - 286*g**2 + (-g - 3*g + 0*g)*(-2*g + 2*g**2 + 2*g).\nAnswer: -10*g**3 - 3*g**2 + 367*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31558?\nAnswer: 2, 31, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 33*p + 11. Suppose -6*a - 27*a + 3640 - 3541 = 0. Let o(v) = -11*v - 4. Determine a*m(s) + 8*o(s).\nAnswer: 11*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1683769?\nAnswer: 29, 58061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 783 (base 9) to base 15\nAnswer: 2cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -124481\/3828 + 359\/11. Calculate the common denominator of b and -139\/30.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z - 15. Let i be b(-10). Suppose -2*x = 3*v - 0 - 11, -3*v + 23 = i*x. Which is smaller: v or 18\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 7*v**2 + 6*v - 2. Let o be u(7). Let t = o + -60. Let b be (t\/(4 - 2))\/(-1). Solve 4*x - 1 = 3*q, 2*x + b = 5*q + 7*x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.04 - 4. Let u = l - 0.14. Let t be 1\/(-4) - 1\/(-2). What is the closest to t in 2\/7, u, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 6*m + 2. Let g = -68 - -60. Determine r(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 3*u + 4. Let j(h) = 3*h - 5. Let f(s) = -s + 2. Let y(b) = 5*f(b) + 2*j(b). Let k be y(3). What is the least common multiple of q(k) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68208 divided by -1218.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55? (a) -1\/4 (b) 13 (c) -5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g - 8 + 20 + 5*g - 13 to the form x + u*g and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80262.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**7\/210 + 83*j**6\/30 - 172*j**3\/3 + 34*j**2. What is the derivative of p(i) wrt i?\nAnswer: 4*i**3 + 996*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2. Let i(g) = -g - 11. Let b(w) = 2*i(w) + 11*y(w). Suppose -2*t = -6*t. Let k(z) = z**2 + z**2 + t*z**2. Calculate k(b(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 194807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-126)*2\/(-2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3120 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2722 - -2718. What is the nearest to 1\/13 in g, 0.3, -1, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6108491 is divided by 381778?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o**20*o)\/o))\/(o*o*o**(-25)*o)*(o\/(o*o\/((o**(-1\/19)*o)\/o)))**(-1) assuming o is positive.\nAnswer: o**(58\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 278*k - 28. Let o(s) = 93*s - 10. Determine 11*o(d) - 4*q(d).\nAnswer: -89*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 3 - (-88)\/(-8). Let w(l) = -3*l + 1. Let c(h) = -2*h + 1. What is f*c(r) + 5*w(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k + 2. Suppose -2*d = -2*z + 12, 0 = -z - 4*z - 3*d + 6. Suppose -3*p - 6*y + k = -2*y, -42 = -5*p + z*y. Solve 2*x + 2 = -p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - -50) + -5 + -22?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10 + 13)*4 - -201?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.115 * 8.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -9. Let p = 103 - 98. Solve y + t = -p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.28 + 0.4. Let v = t + -0.32. Which is the closest to v? (a) 1 (b) 1\/8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -12*g - 65. Determine t(4).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89285*k**3 + 7435*k**2 - 4*k + 2.\nAnswer: -535710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 65, -2\/17, 2\/9, 2\/5?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from {a: 4, g: 14}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -3 - -13) + (-13 - 15)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -3130?\nAnswer: 31.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14081062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4409.699 minus 0.032323?\nAnswer: -4409.731323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 10 = -4*k, -51*n + 13 = -52*n + 3*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1116*j**3*w**3*x**3 + 5*j**3*w**3 + 4*j**3*w**2*x**2 + 2*j**3*w*x**3 - 4*j**2*w**3 + w**2*x wrt x.\nAnswer: 6696*j**3*w**3 + 12*j**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 967*y - 985*y = -126. What is the remainder when 860 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 5*k**2 - 2. Let x(h) = 6*h**3 - 14*h**2 - h + 21. Calculate -3*r(g) + x(g).\nAnswer: 3*g**3 + g**2 - g + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**2 + 7*y - 27. Let v(j) = -3*j**2 + 3*j - 14. Let g(w) = 4*n(w) - 7*v(w). Calculate the remainder when g(-9) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92036*f**3 + 28049*f.\nAnswer: 552216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, -3\/16, 23.5, -2 in decreasing order.\nAnswer: 59, 23.5, -3\/16, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, u: 13}. Give prob of picking 1 b and 3 u.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/8 + 1)*(-76)\/(-798)*-7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*u - 7*u = u + 1340 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*t**2 - 92 - 51 - 164*t**2 wrt t.\nAnswer: -356*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**14*w)*w**(1\/6)*(w*((w\/(w**(2\/25)\/w))\/w)\/w)\/(w\/(w\/(w*w\/(w*w**10)*w*w*w*w))) assuming w is positive.\nAnswer: w**(-1187\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**12)\/s)\/(s*s*s*s**(7\/6)*s)*(s\/(s**(-9)\/s))\/(s*s*s**7) assuming s is positive.\nAnswer: s**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.986*0.4.\nAnswer: -8.7944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39661\/11816 - 1\/1688. What is the common denominator of p and (-6)\/10*206\/12?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:27 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - k + 17, -2*k + 4 = -3*c - 3*k. Let v be c\/(-3)*(-2 + -4). Let b(p) = -9*p**3 - 2*p**2 + 7*p + 5. Is b(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*g - 3*n + 60, 315*g = 316*g + 5*n - 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f - 8. Let p = -9 + 2. Let y be k(p). Suppose -y*g + 11*g = -10. Solve g*w = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3*t - 18 = 0, -9*i + 5*t - 42 = -5*i - 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10464532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 4:57 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69 or -14?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-7)\/(70\/90) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9772 at least 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -67, -2.91, -21, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 - 27*j + 2*j**4 + 27*j + j**3 + j**4 to p*j + x*j**4 + c*j**2 + s + l*j**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 148\/231 - -2\/77. Let z = 175\/118 + 1\/59. Which is the nearest to -0.1? (a) z (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -136*l + 2825. What is b(21)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 2*v - 8. Let g be p(7). Calculate the highest common factor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/96*-2*(-1)\/5.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + o - 40 = 0. Let x be (o - -4)\/1 - 2. Let b(j) = j**2 + 5*j - 6. Let z(y) = -3*y**2 - 15*y + 17. Let c(u) = -11*b(u) - 4*z(u). Give c(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6295 - -6295.00367. Round v to 4 dps.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u**2 + 1443*u + 24889. Calculate j(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 217 + -372. Let u = d + 283. Calculate the remainder when u is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.05107 litres to millilitres.\nAnswer: 3051.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 45 = i. Let u(k) = k + 10. Let f be u(i). Suppose -20 = -3*x - 0*x + w, 20 = -4*w. Sort -2, x, f.\nAnswer: -2, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14316 (base 14) to base 3.\nAnswer: -2112120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -491.8\nAnswer: 49.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 311.8 + -310.8. Which is greater: a or -2455?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 3118273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 60. Let d be a\/(-5) + 2\/5. Let m be d + 3 - (4 + -3). Solve m = -2*i + 4*y + 16, 0 = i + 2*y + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6585479*g**2 - 4591213*g wrt g.\nAnswer: -13170958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199024691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 2, -3, -3730, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6930336 and 24?\nAnswer: 6930336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 4, u: 1, f: 1, y: 1}. Give prob of picking 1 u and 1 f.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1135 != -1147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*sqrt(325)*-3*-4.\nAnswer: 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3334041 - 3?\nAnswer: 3334033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 6*h - h)*((-3*h + 3*h + 2*h)*(-2 + 1 + 0) + 2*h - 10*h + 3*h + 3 - 3 + 6*h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30054 + -5?\nAnswer: 30047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 5:43 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2190009*w + 18. Let u be c(2). Round u to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*v**5 + 12966*v**2 + 2*v + 5254327 wrt v?\nAnswer: 2040*v**3 + 25932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -92646 and -1.31.\nAnswer: 121366.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7223040 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -16*(-76 - 13 - -5) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -23*p. Let n be l(-1). Let k = -13 + n. Suppose 0 = k*m - 9*m - 10. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/211210 and -33\/295694.\nAnswer: 1478470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1456, -3019, -4630, -6289, -7996, -9751, -11554?\nAnswer: -13405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/737 or -1?\nAnswer: -2\/737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 9. Suppose 5*i + 1 - 6 = s. Let n = i + 3. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 162, 153, 144, 135?\n\"Answer: -9*h + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*t = 1, 5 = 5*c - 6*t + t. Suppose -2*d - 4 = -2*g, 22 = 5*g + c*d - d. Suppose 0 = b - g*m + 13, -b - 3 = -2*m. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3 = -h, -2 = 4*o + 2. Suppose h*d - 5*t = 25, -4*d - 3*t - 29 = -8*d. Solve -3*i + 11 = -4*b - 1, 8 = d*b + 2*i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 2*a - 240. Let r be (-20)\/(-6)*48\/a. What is the third biggest value in 1, r, 5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l**2 + 2*l**2 - 3*l**2)*(278*l + 392*l + 33*l) - 5*l**3 + 2*l**3 + l**3 as j + x*l**3 + y*l + f*l**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**5 + 45*w**4 + 433*w**3 + 933*w**2 + 387*w - 162 = 0?\nAnswer: -3, -1, 1\/4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Let a(p) be the third derivative of -17*p**2 - 1\/20*p**5 + 0 + 1\/12*p**4 - 1\/3*p**3 + 0*p. Give a(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 e when four letters picked without replacement from {f: 4, e: 8, h: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6935692 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0*v - 3*v)*(-5 + 21 + 0)*(4*v**3 - 3*v**3 + 0*v**3).\nAnswer: -96*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199873.\nAnswer: 199873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 141061586 to the power of 1\/2, to the nearest integer?\nAnswer: 11877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 8893894.\nAnswer: 2\/4446947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-15) - (-16)\/10. Suppose j + 2 = d - 0*d, -j + s = 0. Solve -3*n - d*m = 2*m + 20, 0 = 2*n + m + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 265, 271, 287, 319, 373?\n\"Answer: o**3 - o**2 + 2*o + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 5*t + 2 + 41*t**2 + 3*t + 38 - 15*t**2. Is 43 a factor of u(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 15334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q. Let t(v) = -v**2 - 4*v + 4. Let h(x) = -x + 1. Let s(k) = 4*h(k) - t(k). Determine s(f(g)).\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81080*p = -81060*p + 6964000. Round p to the nearest one thousand.\nAnswer: -348000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -99*p**3\/7 + 2*p**2\/7 + 99*p\/7 - 2\/7.\nAnswer: -(p - 1)*(p + 1)*(99*p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i + 7 + 4*i - 2 + 0*i - 4*i as r + x*i and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 750 or 581?\nAnswer: 581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5571, -735, 5.\nAnswer: -735, 5, 5571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42163301 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40*(1 - (-6)\/4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 4*z - 24, -5*p - 21 = 2*z + 11. Let f = p + 13. Solve 0*v = v - f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2641946 is divided by 880645.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5148 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**4\/12 - 3*t**2. Let o be c(3). Let h = -1500 - -1503. What is the greatest common factor of o and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*b**3 + 776*b**2 + 814238*b wrt b.\nAnswer: 474*b + 1552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(3\/2)\/q)\/q)\/q)\/(q*q\/(q*q**(-6))))\/(q**(-1)*q**(1\/7)\/q) assuming q is positive.\nAnswer: q**(-93\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 101678370.43 rounded to the nearest ten thousand?\nAnswer: 101680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 k when four letters picked without replacement from {q: 4, k: 2, z: 7}?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 15. Suppose 45 - 25 = 5*q. Suppose k*r = -q*r + 294. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69441 - 44918 = 3869*k - 613*k - 36215 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4530498, 4530490, 4530482, 4530474, 4530466, 4530458?\n\"Answer: -8*g + 4530506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 16*s - 97. Let q be v(15). Which is the second biggest value? (a) -3 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 7) to base 11.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(-4)\/88*-14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100929 is divided by 372?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/24)\/((-1)\/123). Suppose q - 281 = -3*n, 0 = -n + 5*q + 81 + 34. Suppose -2*t - 5*l + n + s = 0, -67 = -t - 3*l. List the prime factors of t.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (102*76\/399)\/((-20)\/(-28)). Factor -2312\/5 + q*i - 2\/5*i**2.\nAnswer: -2*(i - 34)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - l + 5 = 0, 2*l - 7 = d + 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12*(-190)\/(-208) + -11 and 51\/254.\nAnswer: 3302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -983d (base 16) to base 3\nAnswer: -1222110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16728 - 16681. Calculate the greatest common factor of 2773 and d.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -14 - -30 - (1*2 + 1). Suppose 1219 = 4*x - q, t*q - 296 = -x + 15*q. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190 + 195 - 584 + 44*h + 194.\nAnswer: 44*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + j - 6*j - 3, -2*g = -4*j. Factor -4\/11 - 2\/11*h**g + 6\/11*h.\nAnswer: -2*(h - 2)*(h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -276.7 - 43.3. Let c = f - -321. What is the closest to 1\/2 in 2, -2\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o. Let r(s) be the second derivative of s**7\/1260 - s**4\/3 + 3*s. Let l(i) be the third derivative of r(i). Calculate h(l(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 14*s**2 + 19*s**2 + 22*s**2 + 14*s**2 - 59*s**2. Let c(f) = -11*f**2 - 11*f**2 + 14*f**2. What is o(c(v))?\nAnswer: 640*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/32912 and 5\/8228.\nAnswer: 32912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 12*g**2 + g - 7. Let f be u(12). Sort -5, 2\/3, f, 1 in descending order.\nAnswer: f, 1, 2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/25 and -157\/1650?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 18*o - 19*o, 5*c - 2*o = 0. Solve -2*b + 0 - 6 = c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -3\/10 (b) -2\/11 (c) 1\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 39*w**2 + 11. Is c(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5*y - 450, 3*i - 447 = -3*y - 153. Solve -2*m - 4 = 2*g, 99*m - i*m = -g - 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -2\/239 (c) 6 (d) -0.1 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10000\/7 + 45400\/7*f + 18\/7*f**3 + 1804\/7*f**2.\nAnswer: 2*(f + 50)**2*(9*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l - 32. Let i be o(-11). Let h(m) = 6*m**2 + 2*m**2 + 2*m + i - 5 + m. Is 34 a factor of h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t**3 - 6*t**3 + 5*t**3 + (5 + t - 5)*(t**2 + 2*t - 2 + 2).\nAnswer: 6*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x - 87. Suppose -x*p - 6 = -27*p. Let a = 25 + p. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4969*g**3 - 4759 wrt g?\nAnswer: 14907*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2806 - -5611\/2. Is d at least as big as 2579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6122.937 kilometers to meters.\nAnswer: 6122937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10494 + -10478. Put h, 6, 0 in descending order.\nAnswer: h, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 769208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(242) + 1 + 4))**2 + 0 + ((sqrt(2) - (-1 + sqrt(2) + -1)) + 0 + sqrt(32))**2.\nAnswer: 456*sqrt(2) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/101913793 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**3\/3 - 5*h**2\/2 + 8*h + 1. Give s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 - 179*y**2 + 262*y + 182. Let s be r(88). Solve 2*g = 4*m - s, -g - m = -2*m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -10559*z + 517270. What is h(49)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 7*f - 293. Suppose -f*b - 4015018 + 234345018 = 0. Round b to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 7*m**2 + 5*m - 6. Let x be t(-6). Let h be -5*1\/(-1) + x. Solve -2*k - h*r + 18 = 0, -r - 4 = -3*r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 6:05 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 15*o - 688013. What is a(-822)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -158 - -176. Calculate the remainder when 2014 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -0.5, 574, 0.5, -2\/15 in increasing order.\nAnswer: -5\/4, -0.5, -2\/15, 0.5, 574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**2 + 4*z + 4. Let g = 20 - 16. Let k(p) = 4*p**2 - 5*p - 5. Determine g*k(o) + 5*d(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 12*i - 2. Let b(s) = 11*s - 3. What is 3*b(g) - 4*n(g)?\nAnswer: -15*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m - 4 = 0. Let h be -3 - -447*8\/60. Let f = 57 - h. What is the nearest to f in m, 5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 4) + 0 + -7 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5316596 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -0.6. What is the closest to -0.3 in -5, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1751 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -14701 and -14700 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -455, -692, -1335, -2588, -4655, -7740?\n\"Answer: -34*p**3 + p**2 - 2*p - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/4 + -2 - 2. Solve -w - w = t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 1678.\nAnswer: 5034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2 - -4) + (-3 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8*n**2 + 211*n + 428. Determine a(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -54*x + 545. Let r be n(10). Solve 3*y + 6*d - 2*d = -12, 0 = -3*y - r*d - 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -2377*v**4\/12 - 816*v**2. Let c(g) = 2*g. What is p(c(n))?\nAnswer: -9508*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563*m - 565*m + 1699*m - 570*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65450157?\nAnswer: 3, 23, 79, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -295 - -299. Calculate the least common multiple of i and 364.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 14*a + 9. Let w be 5\/(-2) + (246\/12 - -4). Is b(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x. Let f(h) = 221*h**2 + 15989. Give f(r(p)).\nAnswer: 1989*p**2 + 15989","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -876\/23 <= -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1872)*-4)**2 + (sqrt(1872) + -4 + sqrt(1872))*2.\nAnswer: 432*sqrt(13) + 29960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - p**2 + p + 7. Suppose 3*a = -a. Let o be h(a). Solve 2*b = -2*i - 18, 0 = -3*i + 2*b - 0*b - o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -112, 3\/8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/6)\/((-1660)\/(-996))*-14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/(-25)*((-5)\/2)\/(-1). Suppose -3*b - 8 = 4, 0 = -m*d - 2*b + 8. Solve 0*p + 8 = -d*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 8 + 2 + -3 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -981 + 979. What is the closest to -1\/4 in f, -0.2, 2\/37?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = f. Suppose -f*t - 3 - 1 = 0. Put t, 3, -4 in decreasing order.\nAnswer: 3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 832 + -591. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003675 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*f = 89*f - l + 7, 0 = -3*l - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.4 - -1.6. Which is the smallest value? (a) 1\/3 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 69592322.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25 + 18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 10. Let p = -1007 - -713. Let r = 286 + p. What is j(r)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 98116.54mm?\nAnswer: 98.11654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -392 + 394. Let k = -308.3 - -308. Sort k, j, 3 in descending order.\nAnswer: 3, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*r + 4*m, -27*m + 6 = -3*r - 30*m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*x - 8, -5*x - g = -3*x + 28. Find the common denominator of -43\/90 and (41876\/2640)\/(-29) + (-3)\/x.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/66878 and 11\/2.\nAnswer: 66878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 9*n - 12. Let u be v(5). Let d(z) = 3*z**2 - 3*z - 2. Let y(c) = -4*c**2 + 4*c + 3. Give u*d(m) - 5*y(m).\nAnswer: -m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 92\/(-90) - (-13 - 305\/(-25))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 7*l**2 - 4*l + 9. Let x = 9 - 2. Let j be c(x). Let d = 8 - j. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 11*y**2 + 28*y + 28. Let w be z(-13). Solve -k = -w*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 5*c - 2248. Let o(v) = v - 11. Give -5*f(q) - 2*o(q).\nAnswer: -2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 2*b + 48. Let o be g(0). Suppose o = 8*m - 4*m. List the prime factors of 1\/3 + 152\/m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-160)\/(-28) + 2\/7. Let j be -2 + h + (-2)\/2. Let c(p) = -p + 6 - p**j + p. Calculate c(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009257439421 rounded to 7 decimal places?\nAnswer: -0.0009257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14 + 8*(-81)\/(-36). Sort -3, 2, 0, q, 7 in ascending order.\nAnswer: -3, 0, 2, q, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-4)\/1 + 140\/40)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 6*p**2 + 6*p + 5. Suppose -2*i + i - 5*s + 7 = 0, -2*i - 2*s = -14. Let d be l(i). Sort 0, d, 1 in decreasing order.\nAnswer: 1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-2 + 2 - -7 - 6) - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4905359542 to the nearest integer?\nAnswer: 70038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 219973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-2))\/((-70)\/60))\/((-72)\/42)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 21*r - 3*r - 9*r - 7*r. Let k(q) be the second derivative of q**4\/3 + 9*q. Give k(x(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 300 = -q, 5*q - 3*w = -2*w + 1458. Calculate the highest common divisor of 73 and q.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v**5 - 4632*v**4\/5 - 19587*v**3\/5 + 114*v**2 + 7704*v\/5 = 0.\nAnswer: -4, -2\/3, 0, 3\/5, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i + 24. Let k be g(15). Let y be (-1740)\/(-70)*(-1)\/3 - k. Suppose 2*x = 5*x + 9. Which is greater: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3029\/67840 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 times -0.01376?\nAnswer: -0.50912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 2 (c) -8 (d) -2\/95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b + 26. Let o be l(-11). Suppose r - o*g - 184 = -0*r, 1 = -g. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 m when four letters picked without replacement from mllommjylj?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*h - 2*h + 344, -2*h = v - 110. What is the second derivative of -7*u**4 - v*u + 75*u + 0*u**4 wrt u?\nAnswer: -84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 11*o**2 - 11*o - 7. Let x be h(12). Suppose -4*i = -2*i + 3*g - 31, -5*i + 40 = -x*g. What is the remainder when 43 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -574978467\/1172 - -490596. Let b = j + -2814197\/5860. Let z = -26561\/55 - b. Find the common denominator of -47\/4 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-80)\/(-30))\/(4\/54). Suppose 0 = -3*d + c - 12. What is the tens digit of 8*18*1\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 613 + 619 = 0. Calculate the smallest common multiple of 18 and j.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*m = -69 - 111. Sort 1, 10, 4, m in increasing order.\nAnswer: m, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(2\/7))\/((q\/q**(2\/9))\/q))\/((q\/(q**(-4)\/q*q))\/(q\/q**(-5)*q*q)))\/(q**(-2\/15)\/q**(-3)*((q**(-1)\/q*q)\/q)\/(q**1\/q)) assuming q is positive.\nAnswer: q**(1147\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764 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: Calculate -123*0.32.\nAnswer: -39.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-6))\/((-104)\/117))\/((-315)\/60)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.66 + -107.66. Let f = -128.931 - -23.001. Let g = f - q. What is g rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 46\/12 - (-1)\/6. Solve 2*b + x = 4*o, o + b = -2*o - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 351*d + 2473. Let r = -5 + 10. Suppose -2*g = -3*t - 90, 2*g + 0*g - 90 = r*t. Calculate the remainder when g is divided by j(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, d: 1, m: 1, u: 1, b: 6, v: 4}. What is prob of sequence gmvu?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -582, -1162, -1742, -2322, -2902, -3482?\nAnswer: -4062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*l + 5 = 0. Let m = 4.9 - -0.1. Which is the second biggest value? (a) 3 (b) l (c) m (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -19*m + 6*m + 0 - 11. Let i = 11 + -17. Let w(u) = 7*u + 6. Calculate i*p(n) - 11*w(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1334 - 1347. What is the nearest to 2\/3 in -7, 0.4, -5, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1568 + -1542. Calculate the remainder when 674 is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497115854 to the power of 1\/3, to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 6*i**3 - 60*i**2 + 3*i + 14. What is the derivative of p(l) wrt l?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -2 - 1\/2*g**2 - 2*g. Let v be a(-4). Let j(t) = 2*t**3 - t**2 - 2. Calculate j(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*n - 11. Let i be 11 - n - 1*-6. Solve 2*l + 2 = -i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1863 and 7631469.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s - 12 = 0. Let a be 9 - (0 + 3\/(-3)). Sort s, a, -5 in decreasing order.\nAnswer: a, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/(26\/(-208)). Suppose 53 = -3*d + 50. Suppose w + 5 + 0 = 0. Sort w, x, d.\nAnswer: w, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -311 - -399. Calculate the remainder when 345 is divided by o.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 19283212*x + 46480283129618.\nAnswer: 2*(x - 4820803)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/6*(999\/330 + -3). Let p = -0.424 + 0.324. Is p less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**5\/5 + 11*k**3\/6 - 3*k**2\/2 + 6. Let g(j) be the second derivative of d(j). What is the derivative of g(a) wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dojeddtjtt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/8*188\/(-6). Let j = 69 + y. Let t be 4\/j + (-256)\/(-44). What is the greatest common divisor of 24 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.35, -1\/2, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 14*c = 5*x + 416, 0 = 2*c - 3*x - 279. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 1, 2, -1 in descending order.\nAnswer: 2, 1, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.00261 and 31085.\nAnswer: 81.13185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -12024*l + 13. Is s(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 245?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6087 (base 14) to base 15.\nAnswer: -4da8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/6126 and -32\/39.\nAnswer: 79638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 - 2*z**3 - 6*z**2 + 2*z + 2.\nAnswer: 2*(z - 1)**2*(z + 1)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2*i - 4*i + 10 = 0, 0 = 4*u + 5*i + 31 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 1 - 4. Suppose h = 5*s - 10, 5*h + f*s - 2*s - 54 = 0. What is the units digit of (6\/h + -1)\/((-6)\/120)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -112*v + 2021. Let h be n(18). Solve 2*i - 1 = 3*f, -4*f + h*i + 17 = 6*i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1078617, -2157235, -3235853?\n\"Answer: -1078618*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1249 is divided by 243?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/7 and 73\/805.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (76 - (71 - 73)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15854797 is divided by 55.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -2. Suppose 0 = -x - w*x + 16. Solve 0 = -b - x*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 722.\nAnswer: -1444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, p: 2, c: 1, i: 1}. Give prob of sequence pc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66.945114 - -0.027114. Let o = q + -0.082. Let p = -66.9906 - o. Round p to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*q - 10*h + 8*h = 83*q - 11, -5*h + 47 = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4164886.245 to the nearest one hundred.\nAnswer: -4164900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 807.1543 millennia in months?\nAnswer: 9685851.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7897899 is divided by 5005.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c93a8 (base 14) to base 2.\nAnswer: -1010000011111110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x. Let r(t) = -226*t - 1. Calculate -r(m) + 5*v(m).\nAnswer: 236*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25025 and 4095.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 397\/300 + 1\/100. Let f = 238 + -203. Suppose -f*o + 40*o - 5 = -3*m, 5*m = 4*o - 41. What is the third smallest value in m, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = k - 69, -2*k = 3*g - 144. Let o(y) = 10*y**2 + y. Let d be o(-2). Let p = k - d. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2323625.19 - -0.1128.\nAnswer: -2323625.0772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-2)\/(-8))\/(9*18\/81)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2\/7 + 22824*y\/7 + 45704 = 0.\nAnswer: -14, 11426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 l when four letters picked without replacement from vmmml?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 17*n - 5. Let a(x) = 5*x - 1. Let l(z) = 7*a(z) - 2*k(z). Let b be (-4)\/(-5) - 19\/5. Calculate l(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - (40003\/(-5) + 1)\/((-199)\/(-995)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*i - 3*k - 8, 0 = i + 5*k + 25. Let a(f) = f**2. Let x be a(i). Differentiate -1 + 2*d**3 + 0 + x wrt d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 55935 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 588.617263 rounded to 1 decimal place?\nAnswer: 588.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -3*k**4\/4 - 110*k**3 - 651*k**2\/2 - 324*k + 668. Factor r(q).\nAnswer: -3*(q + 1)**2*(q + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 20*w**2. Let u(d) = -3 + 3 + 30*d**2 - 26*d**2. Let i(v) = 5*l(v) - 24*u(v). Let r(n) = 4*n**2. Give i(r(t)).\nAnswer: 64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -96, -1118, -3900, -9324, -18272, -31626?\n\"Answer: -147*m**3 + 2*m**2 + m + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -9.18. Let f = 0.14 - b. Let q = f - -0.03993. What is q rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/(84\/(-63)))\/((-2)\/13600*3).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 310.2 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17704150861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30389\/4 - 7654. Let l = 57 + q. Is -0.3 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdoqddffdrqofdd. What is prob of sequence fffd?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 184 + -259. Let s = 19 - d. Suppose -2*w + s = -54. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 64 - 164 = 0. Suppose -440*u = -77*u - 13284 - 43344. Calculate the remainder when u is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 178522, 357046, 535570, 714094, 892618?\n\"Answer: 178524*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**4\/8 - 6891*s**3\/8 + 7722*s**2 = 0.\nAnswer: 0, 9, 2288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 294210395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9907197 nanometers?\nAnswer: 0.0009907197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3561*g - 287. Let i(d) = -10682*d - 813. What is -6*i(f) + 17*w(f)?\nAnswer: 3555*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-4) - 4\/8*-15. What is the units digit of -3 + -2 + (8 - m) - -1362?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -1\/2 (c) -5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 827*z + 4131. What is j(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2667, -21323, -71951, -170535, -333059, -575507, -913863, -1364111?\nAnswer: -1942235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from ooooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2 (c) 706\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -3*y**6\/40 - 2*y**5\/15 - y**2. What is the third derivative of s(i) wrt i?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34272\/(-935))\/42*5\/(-4).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1087 divide 509189932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -189*(-122)\/1 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -11*j + 42. Suppose q = -2*q + 204. Let c be (q\/51)\/((j\/3)\/(-1)). Solve 2*y - y + 15 = -3*i, c*i = -3*y - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 295677085?\nAnswer: 2365416680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than 9192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 134976769323 and 0.46.\nAnswer: 134976769323.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 45, 48, 41, 18, -27, -100?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q**4 - 4*q**2 + 4*q**2)*(-3 + 1 - 6) - 223*q**4 + 59 - 58 + 110*q**4 in the form z*q**3 + g*q**4 + f*q + m*q**2 + p and give g.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93 + 3 - -5 - (16 + 0 - (108 + -91)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 24444183 to the nearest 10000.\nAnswer: 24440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 11:05 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1322214012 (base 5) in base 13?\nAnswer: -8c3137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a**2 - 23*a + 4. Let s be g(5). What is the derivative of -s + 24*d - 3 + 13 wrt d?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*20\/35. Let n = 6.18 - 1.18. Let z = -2\/29 - 44\/203. Which is the third biggest value? (a) z (b) s (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1377\/153*((-6)\/(-76))\/(10\/((-360)\/81))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31521234 and 30414?\nAnswer: 1166285658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8205548, 65644413, 221549906, 525155339, 1025694024?\nAnswer: 1772399273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 7. What is t(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 693 - 694.9. What is the fourth smallest value in c, 10, 4, -2\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15220894 is divided by 2536790.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4646913 divided by 5\nAnswer: 4646913\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**3\/3 + 1. Let a(p) = 24*p**2 - 33*p + 33. Let h(s) = 3*s**2 - 4*s + 4. Let z(n) = -4*a(n) + 33*h(n). Determine z(t(b)).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -97d + -4c?\nAnswer: -9cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -28. Suppose s - 12 = n. Let -1\/2*o**n + 0 + 1\/4*o**3 + 1\/4*o = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 167.07 + -167. Which is the closest to -2\/7? (a) 4 (b) 0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -2) + (1 - 0) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**2 + 11500520*u + 6613098013520 = 0.\nAnswer: -1150052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/149 - 151\/298. Let f = -0.1 - 0. What is the closest to n in 3, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*p + j, 2*p - 2*j = 6*p - 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -24, -18, -12, -6?\n\"Answer: 6*g - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + s**2 + 0)*(1 + s**2 - 1) + 2*s**2 - s**4 + 15*s**4 - s**2 to the form m*s**2 + d*s + p*s**3 + g + r*s**4 and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - 12*y**2 - 52*y + 60.\nAnswer: 4*(y - 5)*(y - 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 7 = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0*a - 96. Let r(k) = 6*k**2 - k - 3. Let v be r(1). Sort a, -2, v.\nAnswer: a, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -22*c**3 + 129 + 21*c**3 + 5*c**2 - 129 + 5*c. What is q(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0944*4.\nAnswer: 0.3776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*f, 3*f - s + 0*s = -11. Let j = 4 + -3. Put f, j, -5 in ascending order.\nAnswer: -5, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 37*s**2 + 2*s - 1. Let v be o(3). Let i be -3 + (v - 1) + -1. Let l be (-6)\/8 - i\/(-12). Calculate the greatest common divisor of 297 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide ((-2)\/3)\/(-1) + 13020\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147)\/7*-6*(-138)\/(-108)*(-4)\/(-42)?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from aajajanajvp.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 47*v = v - 41. Is 2\/1831 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 0*i**4 - 1\/60*i**5 - 3*i + 3\/2*i**3 + 0 + 4*i**2. Let x(h) be the first derivative of r(h). Differentiate x(u) wrt u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191136007?\nAnswer: 743, 257249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8699895?\nAnswer: 3, 5, 103, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 319226 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2*s - 1 = 0, 2*n = -0*n - 5*s + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-1 - sqrt(143))*-5)\/(sqrt(11) + sqrt(33)\/sqrt(3)*-4).\nAnswer: -10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11364653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 165.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1002, -4873, -11326, -20361?\n\"Answer: -1291*n**2 + 2*n + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447483785.\nAnswer: 5, 7, 137, 93323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p + 1. Let l(d) = 8*d. Let o = -748 + 754. What is o*l(k) + 7*w(k)?\nAnswer: -k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -2 (c) 2\/7 (d) 4 (e) 19 (f) -191 (g) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**2)**10)**(-21))**(-1\/12) assuming p is positive.\nAnswer: p**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -210205789606 minus -9?\nAnswer: -210205789597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 39 - 2*a - 24 + (-2 + 2 + 1)*(-a - 2*a + 2*a) - a + 2*a - 2*a - 4 + 1 - a + 1.\nAnswer: -7*a + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -335453.0249567 - -335453. Round u to 4 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16a - 3?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 8*l + 2*l - 112. What is the least common multiple of 264 and l?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 p when three letters picked without replacement from kkkpkkkkpx.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kidiihiitk. What is prob of picking 1 d, 1 k, and 1 t?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 125699214709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42.57 + 4499.57. Let p = j - 4456.5999. Let k = -0.4 + p. Round k to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1132*f**2 - 2267*f**2 + 1139*f**2. Let z(l) = -83*l - 4. Calculate z(u(k)).\nAnswer: -332*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + h = 4*o + 1, -2 = -o + h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 6 + 9, o = 2*f - 1. Suppose 10*k - 41 = o. Suppose k*w - 1173 = -293. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11627 by -40.\nAnswer: -11627\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1691093 - 27467 = -32*t. What are the prime factors of t?\nAnswer: 5, 23, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -41905068?\nAnswer: -41905072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -11?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2 - 13*g - 29*g + 108 + 15*g - 6*g**2 = 0 for g.\nAnswer: -12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 8:18 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 2\/3, -26 in decreasing order.\nAnswer: 2, 2\/3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 8 + 40. Let x(y) = -y**2 + 9*y - 4. Let q be x(i). Solve q*a = -a + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 19*v**2 - 118*v - 12. Let b be s(24). Let o(d) = 6*d**2 - 215*d - 39. Calculate o(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, t: 7}. Give prob of sequence tnn.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/146019 and -49\/2376.\nAnswer: 115647048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-1 - -1 - (1 + 2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*i = 0, 0*i + 18 = 4*v + 2*i. Let r(o) = 7 - 2 + 7*o + 5*o + 7. Let g be r(v). What is the highest common factor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26255131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/9)\/j*j**2)\/((j*j**(-1\/6))\/((j\/j**(3\/7))\/j))*(j**0)**34\/(j\/j**(-2\/7)*j**(-3)) assuming j is positive.\nAnswer: j**(211\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-8 + 1 + -1 + 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 17186274.\nAnswer: -1\/2455182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16\/5 - -166\/55. Let t(v) = -v**2 + 2*v - 1. Suppose -5*h + 3 = -3*a - 19, -2*a + h - 3 = 0. Let j be t(a). Are d and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q + 336054 + 331060. Let f = -8005229\/84 - q. What is the common denominator of f and -85\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -v*z**3 + 297*v*z - 191*v - 591851*z**3 wrt v.\nAnswer: -z**3 + 297*z - 191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfcciiocofcoo. Give prob of picking 1 c, 1 i, and 1 f.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.03 (b) 4\/7 (c) -8 (d) -1315\/4 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2638 and -39.\nAnswer: -102882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43443 (base 5) in base 10?\nAnswer: 2998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**16*a))\/a**(1\/22))\/(a**(-7)*a\/((a**3*a)\/a)) assuming a is positive.\nAnswer: a**(-155\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 378619 + -378617. Determine j, given that -24\/13*j + 10\/13*j**u - 18\/13 = 0.\nAnswer: -3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one halves of a decade?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -97 times -1\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l - 72. What is the least common multiple of 1 and (l\/15)\/((-4)\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**2 + 2*n - 4. Determine u(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 559, 468, 347, 184, -33, -316, -677?\nAnswer: -1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 439 - 33. Suppose 0*o = 2*o - b. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - d - 1. Let h(i) = 4*i**2 + 5*i + 5. Let q(l) = -h(l) - 5*j(l). Let z(b) be the third derivative of -b**4\/8 - 2*b**2 - 36*b. What is z(q(y))?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 12*o**2 + 376*o - 1484. Determine a(4).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + g**2 - 2*g**2 + (-56*g**2 - 93*g**2 + 7*g**2)*(0 - 4 + 6)*(2 - 2 - 2).\nAnswer: 566*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 431190422 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5 + 3. Suppose 2*q + 42 - 58 = 0. Solve 0 = v*z + 2*z - q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 4*o + 5. What is k(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 44 = 9. Let p = -7 - o. Let l(y) = 140*y - 1 + 0 - 138*y + 2*y**2. What is l(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928*c - 901*c = -1445*c + 6528 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.287037 or 5?\nAnswer: 0.287037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*i - 31, -4*i + 99 = -5*j + 30. Let u = 33 + j. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -158.376764 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(6\/4 + -1). Let m = 4575 - 4571. Put -15, m, f, -3 in descending order.\nAnswer: m, f, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9899 - 5180. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4121954 to the nearest integer?\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -40. Suppose y = -5*h + x, 4*h + 0*y + 4*y - 4 = 0. Suppose h*k + 15 = 2*k. What is the second biggest value in -0.1, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*c - 8*c + 0*c)*(-2*c**2 + 4*c**2 + 0*c**2) - 5*c**3 - 7*c**3 - 25*c**3 as z*c**3 + r*c + q*c**2 + b and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3 = -9. Suppose 1 = -s - d. Let l(o) = -5*o**3 + o**2 + 4*o + 3. Let p(z) = 6*z**3 - z**2 - 5*z - 4. Determine s*l(a) - 3*p(a).\nAnswer: 2*a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3704 + -3709. Let w = 0.5 - 9.5. What is the fourth biggest value in w, 5, t, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 < 40413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37443073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*r + 37405, 45 = -5*m + 70. Is 28 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*k + 2*k + k + (-2 + 1 + 4)*(2*k + 2 - 2) + (-2 + 2 - 2)*(3*k - 3*k - 2*k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 8. Let o be r(10). Suppose 5*u + o*f = 134, 3*u + 4*f - 56 = 30. Is u a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.5 * 776861.\nAnswer: 9710762.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 498174 and 2844.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.29 + -0.71. Put j, -1\/13, 4 in decreasing order.\nAnswer: 4, -1\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-22) + ((-119)\/(-11) - 11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 69 = -89 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3063 - 1437*c**4 + 2155*c**2 - 3063 + 12978*c + 1434*c**4 wrt c?\nAnswer: -36*c**2 + 4310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8656 = -12*d + 4*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49194878?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 3*j + 70478 - 70478.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 4*f**2 - 2*f - 2. Suppose 4*l = -0*l + 8. Let u be n(l). Find the third derivative of 2*v**2 - v**u + 2*v**5 + 0*v**5 wrt v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 3*f**3\/2 - 59*f**2\/2 + 6*f. Calculate the remainder when q(11) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 123 = -32. Let w = 118 + g. What are the prime factors of w?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(-598) - (-246)\/2829.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t - 14*t - 6*t)*(-3*t**2 + 15 - 13 + 1) to the form v*t**3 + c*t + u*t**2 + n and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-2))\/(-9 - -3). Let n = -21 - -16. What is the second biggest value in -0.5, n, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**4\/5 + 4412*t**3\/5 + 4857604*t**2\/5 - 19483392*t\/5 + 19501056\/5 = 0.\nAnswer: -2208, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162880*3.\nAnswer: 488640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(4\/23)\/(f\/f**(-3\/14)))**0)**(1\/56))**(-31) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23364 is divided by 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/24 and 67\/421720671.\nAnswer: 3373765368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14374.4 - 14374. Sort g, -1613\/6, 1 in ascending order.\nAnswer: -1613\/6, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 156775067?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0055901264 to four decimal places.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4 - 4 - c. Let y(j) = -2*j. Let d = -2305 - -2299. Determine d*k(z) + 5*y(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*y + 8753, 2*i - y - 3120 - 2697 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -190532568.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/14*(3\/(-6))\/(935\/(-1190))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341279 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l. Let d(x) be the third derivative of 931*x**5\/60 - 5117*x**2. What is g(d(r))?\nAnswer: 7448*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 2:52 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -89*k**3 + 24*k - 58*k**3 + 146*k**3 + 6 - 23*k**2. Determine u(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7 (b) -7 (c) -2 (d) 3 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*t - 48 + 2048. Calculate the greatest common factor of 1040 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyv when three letters picked without replacement from {c: 4, m: 2, z: 2, q: 1, y: 1, v: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 m when three letters picked without replacement from yfwwwfwmm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzuuzzzuuzuuzzzuuu. Give prob of picking 4 u.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*u + 3*h - 78, 372 = 5*u - 3*h. Is 75 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-6)\/4)*6. Let g = 177 + -96. Calculate the greatest common divisor of g and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*f**3 - 21*f - 15*f**3 - 6*f to the form p*f**3 + d + k*f + v*f**2 and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - q + 15, -4*j + 3*q - 3 = -34. Suppose -j*c + z = -0*z + 77, 0 = 5*z - 25. Is 4895\/30 + 3\/c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-178640)\/617120*38\/(-44)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 6 + 1\/4*z**4 + 4*z - 10\/3*z**3 + 11\/2*z**2. Is 13 a factor of r(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**6\/120 - 13*s**5\/60 + 7*s**4\/12 + s**3\/6 - 11*s**2. Let u be g(-14). Solve -u + 2 = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18.2372 and -17.1714491.\nAnswer: 1.0657509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(275)*3*-3*5 + 3)*-5)**2.\nAnswer: -135000*sqrt(11) + 55688400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(152\/(-32))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**2 - 5*n + 6. Let j(l) = -l**2 - l + 1. Let h(v) = 6*j(v) - o(v). Let x(z) = 4*z**2 + 8*z - 1. Calculate -6*h(g) - x(g).\nAnswer: 2*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**5 - 10*d**4 - 15*d**3 + 40*d**2 - 20*d = 0. Calculate d.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1463763 and 14\/1045545.\nAnswer: 7318815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 345 - 345. Suppose -v = -y + 43, 2*y = -2*v - v + 76. Suppose 3*k = 8*f - 3*f - y, f - 2*k = 11. Solve -4*p = i - a*i + f, -2*p = 4*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 2 + (-602)\/8. Let u = 69 + n. Find the common denominator of u and (183\/(-6))\/((-1)\/((-2)\/(-14))).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-30)\/v)\/v)**12\/((v\/(v\/((v**(-21)\/v)\/v)))\/(v*v\/v**(-11))) assuming v is positive.\nAnswer: v**(-348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2761560 divided by -5.\nAnswer: -552312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -30, 115*h - 4*n - 32 = 111*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f - 11. Let v be ((-6)\/(-4))\/(24\/(-160)) + 2. What is m(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 818198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 5*v**2 - 12 + 7 - 154*v**4 + 0*v + 153*v**4 to h*v + k*v**2 + n*v**3 + c + p*v**4 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2842.9 - 2842.9. What is the third smallest value in 3895, 3\/8, t, 0.1, 3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20260 + -d00?\nAnswer: 1e460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 19*y**2 - 29*y - 549. Let d be x(-19). Solve -301 = d*n - 45*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 35*c - c**2 - 8*c - 15*c + 13. Does 9 divide f(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -6\/7, -1720, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 + 3*d + 3. Let t(l) = l**3 + l + 1. Calculate -g(a) + 3*t(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16237470833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5168460 by 1.\nAnswer: 5168460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*s**3 + 14*s**2 - 2*s**3 + s - 14*s**2 wrt s.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.051 and -0.4?\nAnswer: 2.0204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -3*w - 4*y, -4*y + 88 = 2*w - 20. Suppose -3*s = -w + 9. Factor -s*j + 5*j**3 - 4 - 8 + 2.\nAnswer: 5*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**4 + q**2 + q - 1. Let k(y) = 35*y**4 + 20*y**2 + 20*y - 30. Let v(n) = -20*j(n) + k(n). Differentiate v(t) wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**2 + 6 - 32201*y**3 + 96612*y**3 + 6*y - 32207*y**3 - 32209*y**3. Let r(d) = -5 - 6 - 11*d + 5*d**3 + 6*d**3 + 11*d**2. Give 11*k(l) + 6*r(l).\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2463\/836 - 4\/1045. Find the common denominator of (1\/(-6))\/((-4)\/30) and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/((-222)\/300)*4*15\/(-120)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*c + 126*c = 21 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5039301 years?\nAnswer: 0.05039301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**5\/20 + f**3\/6 + 3*f**2. Let i(x) be the first derivative of l(x). Determine i(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*k**2 + 6*d**2 + 67*d*k**2 - d*k - 2*d - 2*k - 933 with respect to k.\nAnswer: 4*d**2*k + 134*d*k - d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3497426 by 152062.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.575239nm to meters.\nAnswer: 0.000000001575239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 + (-11 - (-19 - -10)) + 15 + -8?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 39*p**2 - 49*p - 171. Let d be l(37). Solve 742 = -4*w + d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*y**2 - 105*y**2 + 78*y**2 as o*y**2 + m*y + p and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17822, -71248, -160248, -284786, -444826, -640332, -871268?\n\"Answer: 6*p**3 - 17823*p**2 + p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.884 + -2.884003856. What is w rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, 0.2, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 905 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -147, -354, -701, -1188, -1815, -2582?\n\"Answer: -70*q**2 + 3*q - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -427 in -7, -3\/4, -2\/25, -133, 2\/3, -1\/4?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520*r - 3 - 1316*r + 2.\nAnswer: -796*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4442, -8606, -12770, -16934?\nAnswer: -21098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -g + 40, -3*g + 112 = -2*w + 6*w. Suppose 4*i + 12 - g = 0. Suppose 5*r + i*j = 435, 2*j - 265 = -3*r - 0*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -626*p + 8498. What is the least common multiple of z(7) and 96?\nAnswer: 32928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34352 and -0.07.\nAnswer: 2404.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*v - 13. Suppose -4*w = -v*b + 32, 25 = b + 4*w - 3. What is the remainder when ((-35)\/2)\/(1\/(-2)) is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 - 23745*x**2.\nAnswer: -3*x**2*(x + 7915)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*(((sqrt(605) + -1 - sqrt(605)) + sqrt(605) + sqrt(605) - sqrt(605) - sqrt(605))*5 + sqrt(605) + 0 + 1*sqrt(605) + sqrt(605) + 2) + -5))**2.\nAnswer: -4752*sqrt(5) + 49581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 2\/5, -196, -0.2, 2551 in descending order.\nAnswer: 2551, 3, 2\/5, -0.2, -2, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204 - 112?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4340080020?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d - 12. Let l be o(6). Suppose l*m + m + 1 = -2*y, 0 = 2*m + 10. Suppose -y*j + 7*g - 2*g = -859, -3*g - 431 = -j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 102, -41 in descending order.\nAnswer: 102, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.4708 to 1 decimal place.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 12*l = -2*i + 288, -210 = -3*l + 5*i. What is the lowest common multiple of 228 and l?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 0.4 (c) 1\/451 (d) -41 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*w = 3, 2*i = 4*w + 15 + 7. Let n = 18 - 20. Let r be -3 - (-1 - (-5 - -2)). Sort n, r, i in decreasing order.\nAnswer: i, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -41*n**2 + 1067*n - 4921. Determine i(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.45 + 15. Let p = -1355 + 1355.4. Let n = m + p. Is 2\/15 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53256183 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*p + l + 23, 3*l = -5*p - 35. Which is bigger: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from {r: 6, c: 2, k: 4, d: 1, b: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 3.32.\nAnswer: -2.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1299, 2604, 3923, 5262, 6627, 8024, 9459?\nAnswer: 10938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1745 - 1686. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6))**(35\/2))**(-1\/24) assuming h is positive.\nAnswer: h**(35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + q - 5*q - 1933 = 0, -2*i = 2*q - 1298. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a2 (base 13) to base 5.\nAnswer: -2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1984*p - 8657 + 17320 - 8663)*(33 - 5*p**2 - 33)*(-3*p - p + 2*p).\nAnswer: -19840*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z + 24050 = 59*z + 899*z for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 9936?\nAnswer: 39744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2.956*0.02\nAnswer: -0.05912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(4 - 23*x - 4)*(-16 - 3*x + 2*x + 16) in the form f + c*x**2 + b*x and give c.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -949*c - 31 = -952*c - 142. Which is bigger: -38 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) 7\/2 (c) -3\/12698 (d) 2 (e) 0.2 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/14 + ((-2280)\/42)\/(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*q = 8, -2*b + 9*q + 8 = 8*q. Suppose u = 6 - b. Solve 3*r + 8 = x, 2*r - 11 = -3*x - u*r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.14 - 0.04. Let g = -39 + -150. Let d = g - -1319\/7. Which is the nearest to f? (a) 4 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51315 divided by -1555\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3759923904 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/35*(-7 - -2). Suppose 2*c + 2*j - 7*j + 16 = 0, 0 = 5*c + 3*j - 22. Sort -11, c, t in decreasing order.\nAnswer: c, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**4 - 3*u**4 - u**4 + (-u**3 - 90 + 12*u**2 + 90)*(0*u - 5*u - 5*u) in the form f*u**2 + l*u + p*u**4 + s + b*u**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -8331\/970?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 832 divided by 832\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 840?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/(-5)*9\/(-15). Solve k*s = 6 - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 - 1)*((9 - 9 + 19)*(1 + 0 + 0) + 0 - 3 + 5 + (-3 - 1 + 1)*(-1 + 1 + 1))*(-3 + 3 - 2*h).\nAnswer: -144*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -103772 at least as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g - 3*l - 21, -3*g - 13 = 2*l. Let q = 1 + g. Let x be q - 1*3\/(-3). Sort -5, -3, x in ascending order.\nAnswer: -5, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1055*x**2 + 12 - 6 + 3 - 9 to the form k*x**2 + i*x + c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4731 = -11*t + 2397. What is the least common multiple of t and 108?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 462 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/1936 and 47\/31375344?\nAnswer: 345128784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*g**2\/5 + 56402*g\/5 - 16116\/5.\nAnswer: 2*(g + 4029)*(7*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/1772133 and 46\/13695.\nAnswer: 8860665","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 10*h**2 + 29*h - 22. Let d be b(-13). Let f = -106 + d. Solve f*p + 2*p - 32 = 4*z, -28 = 5*z - p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783788090 to the power of 1\/2, to the nearest integer?\nAnswer: 27996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 - 1204*u**2 - 3*u. Let s(v) = -4*v**3 - 2407*v**2 - 5*v. Give -5*d(m) + 3*s(m).\nAnswer: -2*m**3 - 1201*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 10*d**2 + 2*d + 14. Let k be w(-10). Let j(p) = -2*p - 9. Let h be j(k). Solve 5*y - 45 = 5*m, -3*m - y = -h*y + 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-104*(-29)\/156832).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 p when three letters picked without replacement from {p: 4, g: 8, i: 4}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19646483 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i + 6. Calculate the remainder when o(11) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 6, -3, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 537905*m. Let p(d) = -3*d. What is p(t(k))?\nAnswer: -1613715*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-4)*198\/825*-15?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3))**9\/(j\/j**(2\/3))**(-1\/26))\/((j\/j**5)\/j*j**(-6))**(-6\/13) assuming j is positive.\nAnswer: j**(-629\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -900050, -1800193, -2700336, -3600479?\n\"Answer: -900143*r + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 815\/(-326)*272\/(-10)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + sqrt(275) + sqrt(275)))**2.\nAnswer: -360*sqrt(11) + 9936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5520, 6105, 7028, 8283, 9864?\n\"Answer: -u**3 + 175*u**2 + 67*u + 5279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/((-57)\/(-190))*(-14)\/(-910).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*u = 12, 0 = -4*h + 6*h + 3*u - 20. Let s(k) be the second derivative of -7\/12*k**3 + 1\/4*k**2 - k + 0 + 2\/5*k**5 + 1\/3*k**h. Solve s(l) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 - -295. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*c - c**3 - 182*c.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19866560 divided by 177380.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22292 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3548100 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -257674 (base 8) to base 7\nAnswer: -523343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8275834 to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - x + 140 - 15 = 0, -5*x - 25 = 0. Calculate the smallest common multiple of 65 and j.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -729*l**3\/4 - 36639*l**2\/4 + 6860*l - 1275.\nAnswer: -(l + 51)*(27*l - 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 + 3066*f**3 - 692811*f**2 - 46272072*f - 683305392.\nAnswer: -3*(f - 539)**2*(f + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-7) + (-6)\/42?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*c - 3, 8 = y - c. Suppose 0 = v - 2 - y. Suppose 2*k - v = 19. Calculate the remainder when 37 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)\/(-2*sqrt(11)))**2 - sqrt(15)\/sqrt(3)*6) + 0 - (5 + sqrt(500)*-5 + -2).\nAnswer: -7\/4 + 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**4\/24 - g**2. Let a(o) = 9*o + 117. Let s(x) = -4*x - 70. Let h(n) = 3*a(n) + 5*s(n). Determine 5*b(c) + h(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2. Let l be 9\/(-5)*(-50)\/120. Let x = 0 - 0. Which is the nearest to x? (a) t (b) -1\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 - 65 = -2*x. Suppose 5*q - x = 6*h - 10*h, -2*q - h = -40. What is the common denominator of (19 + -9)\/((-12)\/q) and 107\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171564?\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-5)*(-3)\/(-2)*(-416)\/(-144)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**4\/4 + t**3\/3 + t**2\/2 + t. Suppose -s - 4 = -2. Let n(z) = 4*z + 3*z - 10*z**2 + 3 + 0*z**2. What is s*n(w) + 7*f(w)?\nAnswer: -w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17716\/(-1442) - (0 - 12)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8*(-2128)\/931)\/(3\/((-21)\/(-2)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 + 4*h**4 + 5*h + 9*h - 3*h**4 + h**2 to j*h**4 + w*h**3 + z + k*h**2 + v*h and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 183499017 and 4472?\nAnswer: 1467992136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -0.5, 13, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3327*a**3 + 13335*a**3 - 3336*a**3 - 3322*a**3 - 3341*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 68*m + 104. Give x(-15).\nAnswer: -1366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6 + 3 - 4*k + 3*k + 2. Let y(c) = -4*c - 1. Let b be y(-1). Let m be d(b). Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a factor of 18503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*c + 115, c + 2*c = -j + 59. Let s(x) = 6*x - 11. Calculate the remainder when j is divided by s(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 7*p**4\/12 - p**3\/6 - p**2 + 6*p. Let c be -3 - (0 + -2 + 1). Let t be s(c). What is the highest common factor of t and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/165760 and -113\/1480?\nAnswer: 165760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - j**2 - 2*j - 2. Let l = -49 + 70. Let o = -23 + l. Give u(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38506 + 3262. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1890, 1888, 1886, 1884, 1882?\n\"Answer: -2*n + 1892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792929 is divided by 198175.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*x + 0*x + 8 = 0, -3*l - 2 = 4*x. Let f be (l + (-510)\/84)\/((-2)\/(-4)). Sort 2, f, -5 in descending order.\nAnswer: 2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.3 - -0.3. Which is the closest to 3? (a) 0.2 (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3) - 244\/12. Let i = y - -22. Suppose -i*p - 18 = -5*p. Solve -21 = -4*a - 3*z, 3*z = p*a - a - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16464*s - 16468*s = 3*k + 3881, -2*k - 4*s = 2582. Which is smaller: k or -1296?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2fd5d - -5b?\nAnswer: -2fd02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 4*l + 5. Let y be j(4). Suppose 5*v = 4*w + 51, 2*w + 3*w = -y*v + 60. Let n be 3*((-44)\/(-6) - 4). Which is bigger: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 100499 in 1, 0.2, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/19 - 111762*f**3\/19 - 2067862500*f**2\/19 - 12405234375000*f\/19 + 4864746093750000\/19.\nAnswer: -2*(f - 369)*(f + 18750)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 595.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 3 (b) 5 (c) 0 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 16*a**2 - 2. Let d be l(-2). Let y = d + -27. What is the remainder when 1340\/y + 4\/(-14) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**3 - 4*s**3 + 2 - 2 - 2*s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -74*c**3 - 7*c - 8. Let l(j) = -j - 2. Determine -4*l(i) + z(i).\nAnswer: -74*i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -3*w**5\/140 - 185*w**4\/28 - 274*w**3\/7 - 78*w**2 + 1566*w. Suppose f(v) = 0. Calculate v.\nAnswer: -182, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-206)\/(-17) - 16\/136. Suppose -2*i = 2*i + 2*c - o, 2*i - 2*c - 18 = 0. Suppose 76 = -b + i*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/37)\/((-3)\/1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 16 - (2 - -6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 31*g**2 - 109*g + 106. Determine l(34).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9*g**3 - 2 - 12*g + 13*g - 2*g**3. Let c(s) = -21*s**3 + 3*s - 3. Let v(u) = -3*c(u) + 5*f(u). What is the first derivative of v(a) wrt a?\nAnswer: 24*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 3463.\nAnswer: 1\/3463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/14 + (-10)\/(-4). Let a(f) = 6*f**3 + 21*f**2 + 4*f - 27. Let u(i) = -i**3 - 4*i**2 - i + 5. Let h(z) = -2*a(z) - 11*u(z). Give h(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/24 - (-10)\/(-8). Suppose 4*c = s, -2*l - 864 = -6*l - c. Calculate the highest common factor of l and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 1*(2 - 1). Let g(t) = -t - 1. Let l be g(1). Let i be l\/4*(3 - 5). Sort w, -5, i.\nAnswer: -5, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7455? (a) -6 (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*i + 3 + (2 - 3 + 0)*(-2*i + 3 - 3) + 4*i + 2*i - 5*i - 6*i - 3*i + i - 7*i + 10 - 10.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 15)\/(35\/5)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4185503349.00000027 + 4185503321. Let q = d + 28. Round q to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/7676 and -10\/13433.\nAnswer: 53732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5934215711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a**3 - 51858*a**2\/5 + 5606496*a\/5 - 839808\/5 = 0.\nAnswer: 3\/20, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = 0. Suppose 0*y + y - 6 = f. What is the remainder when (-39)\/(-4) - (-1)\/4 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-269*j + 815*j + 897*j)*(2 + j - 1 + 2*j) + 0*j**2 + j**2 + 0*j**2.\nAnswer: 4330*j**2 + 1443*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -221136?\nAnswer: -221144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.269604891 at least 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/3 + 185098*n + 25695952203 = 0.\nAnswer: -277647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 - 16\/3*i**2 + 3*i - 2*i**4 + 14\/3*i**3 + 1\/3*i**5.\nAnswer: (i - 2)*(i - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 950 (b) 0.2 (c) -1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847)*4*-6 - sqrt(847)) + 4)*1 - ((-2 + sqrt(847) + (sqrt(847) + -3*sqrt(847))*-4)**2 + 5).\nAnswer: -68612 + 121*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - n + 0*n = -1234, 0 = 2*p + 2*n - 492. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 13*b**4\/24 - b**3\/6 - 4*b**2 - 1. Suppose -1 = 2*w - 3*l, 2*l = -3*w - 0*l + 5. Give v(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of (-5)\/((-339544)\/(-4940208) + 4\/(-58))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 3*r**4\/4 + 5*r**3\/3 - r**2\/2 - 7*r - 12657. Let s(a) = 3*a**3 + 4*a**2 - 6. Calculate -4*s(n) + 3*u(n).\nAnswer: -3*n**3 - n**2 - 3*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181308801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 2:16 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.47 + 73.53. Let y = 74.99999714 - l. Round y to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21942, 43882, 65822?\nAnswer: 87762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x + 7. Let b be a(-2). Let y = -22\/1143 - -6968\/5715. Factor 32\/5*w**b + 0 - y*w + 16\/5*w**2.\nAnswer: 2*w*(4*w - 1)*(4*w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18529, 3, 1, 37 in decreasing order.\nAnswer: 37, 3, 1, -18529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -27. Calculate the least common multiple of u and ((-2268)\/(-108))\/(0 + (-2)\/(-2)).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 63*r**3 - 1764*r + 1764*r - 19*r**3.\nAnswer: -82*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 169325 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: Suppose -1 + 1 = -7*i. Suppose -18*d + 17*d + 5 = i. Suppose 6*o + 4 = d*o, 0 = 4*k + 5*o - 176. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6137.4 rounded to the nearest 100?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + j. Let d(q) = 1 + 4 + 8*q + 11*q**2 + 0. Let i(k) = -4*k**2 - 3*k - 2. Let n(w) = 3*d(w) + 8*i(w). Calculate -f(h) + 2*n(h).\nAnswer: h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**8\/20160 + c**5\/15 - 4*c**2. Let b(g) be the third derivative of i(g). Let t(h) = h**2. Determine t(b(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -4. Let i = r - 0. What is the derivative of 0 + 0*g**i - 2*g**3 + 2 wrt g?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25361 + -608663\/24. Let g(q) be the first derivative of -5\/12*q**2 - 14 + 1\/3*q + 1\/6*q**3 - 1\/30*q**5 + l*q**4. Factor g(u).\nAnswer: -(u - 1)**3*(u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 12*r**2 + 1. Give d(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 305\/60)*3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (108 + -109 - (2 + -14) - (1 - -1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -18. Suppose -3*c + 4 = 5*n, -3*c + 4*n = f*n - 20. Solve 0 = -g - j, 4*g = 2*j + c + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -118*(-54)\/48 + (-2)\/(-8).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5141, 3, -4 in increasing order.\nAnswer: -5141, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3847, 7721, 11595, 15469, 19343, 23217?\nAnswer: 27091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 - 4*z**2 + 15 + (1 + 0 + 0)*(-1 + 1 + z**2).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 + 5*g**5 - 5*g**5 + (4*g - 4*g - 2*g**2)*(-12*g**3 - 49 + 49).\nAnswer: 26*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -4, -7 in decreasing order.\nAnswer: 2, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 5*u**2 - u. Let v be a(5). Let q be (v\/1 + 3)\/2. Let c = q - -7. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2834134283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 76*n - 204. Let f be w(73). Solve 3*y - 5*k + f = 0, -y - 4*k + 12 = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2 + 2)*(-t + 0 + 0)*(35*t**2 - 14*t**2 - 136*t**2).\nAnswer: 345*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 70958.49 hours?\nAnswer: 2956.60375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44754, -179087, -402968, -716391, -1119350?\nAnswer: -1611839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 5*j**2 - 3*j - 6. Suppose a + 0 + 10 = -3*z, -6 = -5*a - z. Calculate the lowest common multiple of u(6) and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*a*u**2 - 4*a*w**2 + 57*a - u**2*w**2 - 84*w**2 wrt w?\nAnswer: -8*a*w - 2*u**2*w - 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 234.9940821323\nAnswer: 235.0940821323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1115486642.\nAnswer: 2, 14797, 37693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 99. Let g = 9 - w. Solve g + 5 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/(-12)*4\/((-3)\/((-45)\/40)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42, 170, 376, 654, 998, 1402, 1860?\n\"Answer: -g**3 + 45*g**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15555, -62317, -140241, -249321, -389551, -560925, -763437?\n\"Answer: v**3 - 15587*v**2 - 8*v + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 41379 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvg when three letters picked without replacement from gggggghgvgqghghggvgv.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 13*s**2 - 16*s - 2. Give b(-14).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -196, -760, -1404, -2134, -2956, -3876, -4900?\nAnswer: -6034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2497.1*-4\nAnswer: -9988.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/30982?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + r + 2. What is s(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1 (c) 115 (d) -17226 (e) -4 (f) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 12 + 32. Suppose -4*h + 5*k - 47 + 220 = 0, -k - n = -h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-980 - 980 + 1948 - 16*h)*(4 - 4 - 4).\nAnswer: 64*h + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p - 2*p**2)*((3 + 3 - 4)*(20 - 20 - 6*p) + (3 - 4 - 2)*(2 - 2 - p)).\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-8 - (15 + -13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, x: 2, d: 1, z: 1, r: 1}. Give prob of sequence zxr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxlqxn. What is prob of sequence qx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*k + 10 = 0, y = k - 0 - 2. Suppose x + 3*x - 4 = y. Is 79 + (-3 - -3)\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 + 7*v. Let r(w) = -3*w**2 - 5*w. Let z(g) = -5*o(g) - 7*r(g). Let p(u) be the second derivative of -101*u**3\/6 - 13*u + 4. Give p(z(s)).\nAnswer: -101*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 388 and 14704?\nAnswer: 1426288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**9*y*y\/(y\/y**(-11)*y*y))\/((y*y*y**3)\/y)**(-38))**(-4\/25))**(-47) assuming y is positive.\nAnswer: y**(24816\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 3*g - 5. Let y be f(-5). Let u = 105 - 109. Sort y, u, 1 in decreasing order.\nAnswer: y, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127088896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.0973 + -0.0973. What is the nearest to 3\/4 in r, -0.08, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 126 - 115?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4bb (base 13) to base 14\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 371*j**5\/60 + j**4\/24 + j**3\/6 - j**2. Is n(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 218 and 1447084.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 - 74. Calculate the highest common divisor of 154 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -1. Suppose -13*m = -341 - 166. Calculate the remainder when m is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12b039a (base 12) to base 6.\nAnswer: 211322314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d**2 - 18*d**2 - 14*d**2 - 20*d**2.\nAnswer: -35*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -79, -309, -729, -1369, -2259, -3429, -4909?\n\"Answer: -5*o**3 - 65*o**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or -12336?\nAnswer: -12336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -64.5, 20, 0.4, 3, 2\/9 in descending order.\nAnswer: 20, 5, 3, 0.4, 2\/9, -64.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 210, 475, 848, 1329, 1918, 2615?\nAnswer: 3420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*o**3 - 8 + 2*o + 536*o**3 + 7 + 0*o.\nAnswer: 924*o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3582116148 to the power of 1\/2, to the nearest integer?\nAnswer: 59851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -48*x**2 - 4*x - 86. Give m(5).\nAnswer: -1306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.1 + -0.1. Let q = -0.1 - -0.3. Let u = q + -0.3. What is the nearest to u in -4, -5\/3, y?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6856 + 6856. Suppose -5*o - 4*i = -10, -4*o - 2*i = -7*i - 8. Suppose 11 = -o*y - 1. Put 4, n, y in increasing order.\nAnswer: y, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 + 5 - (-12)\/1. Suppose 5*b - i + 3 = 0. Let r be (-1)\/((3\/(-12))\/b). Solve 2*g + 9 = -r*k - 7, -g = -3*k - 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*9\/((-630)\/28)*3\/(-25)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/3 + (-5 - -1)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - h - 16. Let f be u(-5). Let z = 0 + 0. Let k = -2061.2 + 2061.4. Which is the second biggest value? (a) z (b) 0.5 (c) k (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*m - 2*d - 17, -m = -2*d - 11. Suppose m*u = -5*u + 16. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476 and 2584.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - d**2 + 1. Let l(z) = 9*z**2 - 9. Suppose 4*m = 5*a + 225, 5*m + 147*a = 143*a + 189. What is m*q(u) + 5*l(u)?\nAnswer: -45*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1067.76*-0.2\nAnswer: -213.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -9*f - 9. Let a(g) = -2*g - 2. Let x be (-26)\/4 + 3\/6. Give x*s(q) + 26*a(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 12) to base 8\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22117 + 23088. What is the remainder when b is divided by 47?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1927486, -3854971, -5782456, -7709941?\n\"Answer: -1927485*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b = -3. Let g = -1.1 - -0.1. Put 2\/21, b, g in decreasing order.\nAnswer: b, 2\/21, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 1 - 4, x = -b + 7. Suppose 0*s + b = 3*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 5*g**2 + 17*g - 4. Let u(k) = -k - 7. Let h be u(-14). Let b be l(h). Solve x - b = 4*c, -14 = 4*c - 2*x + 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30616566 divided by -6.\nAnswer: 5102761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3155*n = -3131*n - 96. Let v = -13 - -8. Suppose -4 = 2*x - 6*x. Which is the closest to x? (a) n (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 10. Let f be d(-17). Suppose -f*q - 9 = -27*q. Suppose -3*w - 3 = q, 4*j + 3*w - 34 = 0. Are 11 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 - (180\/(-7))\/1. What is the highest common divisor of 286 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 5)*(z - z**5 - z) - 6*z + 3*z**5 + 6*z - 10*z**5 - 2*z**5 + z**5 + 4*z**5 - 101*z**2 + 101*z**2.\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 + a**2 - a. Let k be p(-2). Let v = 24 - k. Suppose v*c + 4 = 62. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-14))\/(17\/(-714)) - -3.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 139*u + 7997. Is w(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 5*o. Suppose -5*j = -2*j. Let b(h) = h + 4. Let a be b(j). Suppose g = -a*g + 15. Determine p(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3))**17)**25*(k\/(k*k\/(k*k**(-2)\/k)))**(-1\/47)*k*k*(k*k\/k**(-1\/4)*k)\/k*k\/(k**6\/k) assuming k is positive.\nAnswer: k**(-239641\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q + 18*q + 73 = p - 68*q, -3*p - 3*p = q - 29 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -2\/3, 9.\nAnswer: -21, -2\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.4 + -0.4. Let z = b + -4.88. Round z to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y**3 - 6*y**2 + 5*y + 6. Let w(p) = p**3 - p**2 - p + 1. Give q(i) - 6*w(i).\nAnswer: 3*i**3 + 11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {p: 1, b: 1, w: 2, x: 1, z: 1, e: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -15 + 29 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 507766496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j + 3 - 6*j**2 + 2 + 1. Let r(c) = 5*c + 26. Let y be r(-6). Let b(n) = -n**2 - n + 1. Determine y*u(t) + 22*b(t).\nAnswer: 2*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5506036584 to the power of 1\/4, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 95266.77 microseconds?\nAnswer: 0.0015877795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*n - 5 - 3, 4*n = 5*z - 6. Suppose -z = -q + 3. What is the remainder when q is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + (84 - (-3 + 1)).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9923, 4\/3, 0.1.\nAnswer: -2\/9923, 0.1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(4\/(-3)) + 239. Let r = -153 + i. What are the prime factors of r?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155962909\/865 - 180304. Find the common denominator of -17\/30 and u.\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 102.741 micrometers?\nAnswer: 0.102741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/3)\/((-1)\/75). Is 197\/5 + (-20)\/s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.41 plus -186764286634?\nAnswer: -186764286648.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 343 = -5*t + 186, -4*t = -3*z - 417. Calculate the greatest common factor of 225 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - 2*h - 2*h)*(-187*h**2 + 40*h**2 - 248*h**2)*(1 + 1 + 0) to i*h**2 + l*h + k + n*h**3 and give n.\nAnswer: 3160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2808*-0.0331.\nAnswer: -92.9448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*n**2 - 3 - 4 + 3 with respect to n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 17*n**2 - 33*n + 50. Let r = 263 - 248. What is the least common multiple of 8 and m(r)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -4, 3\/16, 0.5, 3308?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - 2*sqrt(1053)) + 4)**2.\nAnswer: -72*sqrt(13) + 1069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 0 - 2 + 2*h**2 + h**3 + h + 2*h**2. Let j be x(-2). Solve 4*n - 22 = 3*o, -3 + 11 = 4*n + j*o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6758099*b**2*y - b*y + 2436859*b wrt b.\nAnswer: -13516198*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -341*d**2. Let z(a) be the third derivative of a**5\/20 + 105*a**2 - 2*a. Calculate h(z(l)).\nAnswer: -3069*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((110\/(-341))\/((-108)\/837))\/((-2)\/(-632)*10).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p. Let a(h) = 2*h - 18199995. Let c(v) = v - 9099997. Let l(z) = 3*a(z) - 5*c(z). Let d be l(p). What is d rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 61 = z - 1, m - z + 18 = 0. Let q = -8 - m. Let g = -7 + q. Is -1 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -3*n + 6, -5*g + 15282*n - 15287*n - 30 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060624907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3233352400 to the power of 1\/3, to the nearest integer?\nAnswer: 1479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6580 + 6580 + 138*j**2)*(18*j - 30*j + 30*j)*(1 + 2*j - 1) in the form s + t*j + i*j**2 + l*j**3 + y*j**4 and give y.\nAnswer: 4968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 48. Suppose -4*c = -4*p + 16, -q*c - 3*p = 25 - 7. Let n(d) = 1. Let k(w) = 2*w + 4. Give c*n(v) + k(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven fifths of a micrometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18623 (base 11) to base 10.\nAnswer: 26040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.056 + -0.056. Let f(w) = -w**2 - 4*w - 5. Let h be f(-5). Let p be -1 + 2 + h\/8. What is the second smallest value in -2\/9, m, p?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*p = 25, -4*p - 10 = 4*a - 26. Solve a = o - 6*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717681253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13610?\nAnswer: 2, 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 1010, 3378, 7982, 15566, 26874, 42650?\nAnswer: 63638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153472 and 412544.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -25\/36*i**3 + 29\/2*i**2 - 1\/360*i**5 + 0 - 5\/72*i**4 + 3*i. Let s(a) be the first derivative of r(a). Factor s(m).\nAnswer: -(m + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 816 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**3 + y**2 + 4*y + 9. Let x(a) = a**3 - a**2 - 4*a - 8. Let d(t) = -2*r(t) - 3*x(t). Calculate the least common multiple of d(0) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 11:40 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7 = -3*l. Let x(f) = -2*f - 9. Let s be x(l). What is the derivative of 9*b + 4 - s*b**4 - 9*b wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g. Let w(d) = 41*d + 377. Calculate -w(u) + 6*z(u).\nAnswer: -5*u - 377","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8717360 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 - 63 - 2*k + (0 + 3 - 2)*(k - 4*k + 0*k) as q*k + f and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r - 49. Suppose 6 = 3*a, -3*a + 31 = 2*d + 11. Calculate g(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*sqrt(135) + sqrt(60)\/(sqrt(8)\/sqrt(2)))\/(sqrt(21)\/(sqrt(567)*1 - sqrt(7))).\nAnswer: -192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -33*c. Let k(z) = 52*z**2 - 1. Determine q(k(b)).\nAnswer: -1716*b**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8\/v**(-1)*(v*v**(1\/3))**(-1\/9))**(-7) assuming v is positive.\nAnswer: v**(-1673\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -6. Let t = q - 11.44. Let b = -0.16 + t. Is b > 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*j**2 - 9*j**2 + 15*j**2 + (0*j + j + 0*j)*(-2 + j + 2) + 3 - 3 + 4*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 7:16 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*t**4 + 25*t**4 - 187*t**3 + 189*t**3)*(-1 + 1 + 1)*(-2 - t + 2).\nAnswer: 63*t**5 - 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -234877 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1183\/1274*(-36)\/(-52)\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4515, -1.\nAnswer: -4515, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((-1)\/(2\/(-4))). Let k = d + -4. What is the units digit of k\/(-5) - (-3)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 520 and 30.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 2*b. Let z be i(-3). Put 23, z, 5 in increasing order.\nAnswer: z, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*j - 2277 = 55*j - 13*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 168*c**2 - 4*c - 12. Let i(t) = -2*t**3 + 336*t**2 - 9*t - 27. What is 4*i(l) - 9*x(l)?\nAnswer: l**3 - 168*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -672, -452, -232, -12, 208?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(152) + sqrt(152)*1 + sqrt(152) + sqrt(152) + sqrt(152) - sqrt(152))*5*4)\/(5*5*-1*sqrt(32)))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 192, 190, 188, 186?\n\"Answer: -2*r + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 16*z**2 - 652*z + 30. What is l(40)?\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 40, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f - 3. Let m(h) = 103*h - 82. Give -51*i(n) + 3*m(n).\nAnswer: 3*n - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**4 - 963*c**3 + 55923*c**2 - 835173*c + 3607656 = 0.\nAnswer: -373, 8, 13, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142433100 (base 6) to base 9.\nAnswer: -5452840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 40 = -7*u. Let i = 0 + u. Calculate the remainder when 39 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38215967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13857*v = 14058*v + 3015 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + sqrt(2))**2*3.\nAnswer: -12*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(600) - sqrt(600) - sqrt(600) - sqrt(96)\/sqrt(4))\/(-1*sqrt(6)\/sqrt(2) - (sqrt(216)\/sqrt(6))\/sqrt(12)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358470 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: b\"What is the wth term of 843, 2295, 6281, 14073, 26943, 46163, 73005, 108741?\n\"Answer: 212*w**3 - 5*w**2 - 17*w + 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/y)\/(y*y**(-2\/9)\/y))\/(y**(1\/11)*y**8) assuming y is positive.\nAnswer: y**(-878\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 198\/5 (b) 2\/13 (c) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 18 = 3*d, -3*g - 10 = 3*d - 4. Suppose -3*t - 219 = -2*q - d*t, 5*q + t - 558 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1890041 to the nearest integer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c - 4*b - 18 = 0, 2*c - b - 22 = 0. What is the remainder when c is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2720 is divided by 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 5. Let r be i(8). Suppose r*m - m - 6 = 0. Is (-58)\/m*(-15)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c - 19*c + 6*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5098*y - 11. Give o(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 2*i**2 + 2*i + 4. Let o be q(-2). Is o + (1 - 2) + 6350 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -682181 - -1340.4.\nAnswer: -680840.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 0*r**4 + 14\/3*r**3 + 0*r**2 + 0*r + 14 + 16\/5*r**5. What is the third derivative of t(v) wrt v?\nAnswer: 384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 54*z**5 - 55*z**4 - 215*z**3 + 220*z**2 - 4*z = 0. Calculate z.\nAnswer: -2, 0, 1\/54, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0238 or -5108?\nAnswer: -5108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-29703)\/10534 - (3 + 45\/(-12)). Let i = c - -352\/229. Calculate the common denominator of 123\/20 and i.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1496 + -1244. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 27521270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 672 + 608 + 24*s**2 + 34 - s**3.\nAnswer: -s**3 + 24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14, -17, -72, -151, -254, -381, -532?\n\"Answer: -12*q**2 + 5*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*z - 1120 = 183*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 7) to base 10\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*x**4 - 184936*x**3 + 3301136*x**2 wrt x?\nAnswer: 192*x - 1109616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, 19, 44, 89, 160, 263?\n\"Answer: a**3 + a**2 + a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6821*x**2 - 267*x - 12 wrt x?\nAnswer: 13642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 r, and 1 w when three letters picked without replacement from trwwlrrqssrq?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 36 = 4*r, 2*g + 3*g + 3*r = -13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 54 = -6*t. Let r = -11 + 29. What is the greatest common divisor of r and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**3 - 3*y**2 - 4*y - 2. Let u be n(-1). Determine l, given that 85*l**2 + l**u + 12*l**4 + 22*l**3 + 11*l**2 + 30*l**3 + 64*l = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a - a - 9*a)*(4 + 3 - 5)*(21 - 12 - 10)*(2*a**3 - 2*a**3 + a**4).\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -9 - ((7 - (-11 + 23)) + 35)) + -12.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 12*i + 11*i - 58 = 0, -10*t - 130 = -5*i for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2540986009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 90\/(-27)*3\/(-2). Suppose 0*l = -j*q + 2*l - 34, -14 = q + 2*l. Is q > -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-3) - (4 - 665\/(-140))) + (-15)\/44?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62660\/(-7712) + (32*4\/8)\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 99 = 9*d. Calculate the remainder when 26 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*x**2 + 70*x**2 + 1 - 15*x**2 + 6 in the form h + z*x + y*x**2 and give y.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617899 is divided by 15061?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 136*w**3 + 94516*w**2 - 1748204*w + 51336 = 0?\nAnswer: -713, 1\/34, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.10763 weeks in milliseconds?\nAnswer: 10346694624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1 - 4) + 4)*-187. What is the lowest common multiple of ((-72)\/(-21))\/((-6)\/(-84)) and (-12)\/(-42) + l\/(-7)?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 119634 - -19b7?\nAnswer: 11b42b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-344)\/16254)\/((-2)\/(-3)))\/(96\/168)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1664 - 0.0336. What is the closest to 0.2 in o, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137.347 - 0.2.\nAnswer: 137.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 162 + -1. Suppose 4*l - c - 143 = 482, -5*c = -l + z. Which is bigger: l or 155?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 5*z**2 - 3. Let d be s(5). Let y be (30\/(-12))\/(2\/(-4)). Let l = d + y. Solve u = 3*u - l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c**3 - c**2 - 2*c + 1. Let q be i(2). Suppose 0 = -3*g + q - 5. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -351 - -435. Let a be 3\/(-7) - (-60)\/m. Suppose -a*j**2 + 0 + 10\/7*j = 0. Calculate j.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 206003502?\nAnswer: 206003503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/7, 303, -0.4, -4, 1, 415, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 581, 578, 577, 578, 581?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 305817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644\/6850*(-175)\/2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + y = 0, -143*f + 3*y + y = -138*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -376611000 + -7659\nAnswer: -376618659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {z: 1, l: 3, q: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 266 = 3*p, -10*p + 8*p + 180 = -4*g. Calculate the highest common factor of p and 495.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196902 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -9. Let q(u) = -u**2 - u - 1. Let p(t) = -3*t**2 - 2*t - 1. Give a*q(i) + p(i).\nAnswer: i**2 + 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -17*s - 55. Let j be d(-5). Let i be -8*(-9)\/(-8)*(-20)\/j. Solve 5*z + 50 = b - i*b, -b + 20 = -5*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*a + 4*t - 16, -2*a = -4*t + 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 63\/5 + ((-448)\/160)\/(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 = 3*r - 5, 4*r + 4*h - 12 = 0. Solve -2*i = -r - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2433.6*3453\nAnswer: -8403220.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y + 223. Let p(t) = -5*t + 224. Let u(v) = 6*m(v) - 7*p(v). Let l be u(0). Let a = -104 - l. Calculate the greatest common factor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 79087.73l?\nAnswer: 79087730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (3 - -36 - 11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (-92 - -50) + 81.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, s: 2, h: 2}. Give prob of picking 2 m and 2 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7598443\/1452948 - -3681\/706. Find the common denominator of -71\/32 and m.\nAnswer: 32928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1895 + 1100. Is (-2 + n)*(4 + -5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Let z(h) = 90*h - 10. Let w be z(3). Calculate the lowest common multiple of f and w\/16 - 2\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*(6*(0 + sqrt(425) + -4) - (2 + (sqrt(425) - (sqrt(425) + -1)))*-4)*-1)**2.\nAnswer: -414720*sqrt(17) + 8895744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iooio. What is prob of sequence oio?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 104*s**2 - 217*s - 12. Let g be y(-54). Put 4, 54, g in descending order.\nAnswer: 54, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -67\/2 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 654\/27 + (1\/4)\/(261\/(-232)). Solve -6*u + 18 = i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/1156296 and 81\/1541728.\nAnswer: 4625184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 5*u = 30, u - 13 = 2*l - 0*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -28*i - 49. Suppose 9*a + 74 = 4*a - 3*s, 2*s = 5*a + 59. Let x be t(a). What is the highest common factor of 63 and x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7488.5139 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 9:27 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4070342 is divided by 214228?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 13*l**3 + 11*l**2 - 31*l - 40. Calculate g(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9306 + 22*r**2 + 4649 + 4657.\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*2*-1*6 + ((sqrt(33)*-1*-1)\/(sqrt(48)\/sqrt(4)))**2.\nAnswer: -96*sqrt(11) + 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/15)\/(-11)*1\/(-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.9 and -1.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a kilometer in meters?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1944?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-364)*427 - 408\/(-24)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 o when four letters picked without replacement from aoodadqxoah?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -14078 + 2*a**3 - 5*a**2 - 14088 + 28133 + 9*a. Determine m(4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/10)\/(1\/12). Suppose g - b = -g. Calculate the lowest common multiple of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/3)\/(5\/600). Calculate the highest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*o + 31 = 60, 3*t - 22 = -2*o. Solve -4 + t = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 19. Suppose i + 15 = -4*k, -5*i = -q*k + 3*k - 50. Which is the biggest value? (a) k (b) 4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1158269, -1159819, -1164023, -1172207, -1185697, -1205819?\n\"Answer: -221*x**3 - x**2 - 1158047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, -3, -8 in increasing order.\nAnswer: -156, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2704844425?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26 - 8 - 0\/1) + 4. Suppose 18*o - 50 - f = 0. Solve 3*x + 17 = 4*x + o*q, 2*x + 18 = 5*q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 7734\/6 - (0 + 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-690)\/(-1380))\/((-1)\/(-32))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -52*d + 48 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, 31, -1, 10, -4 in descending order.\nAnswer: 31, 10, 9, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(77\/(-99))*(-238)\/(-374).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*p + 12. Let l be (-66)\/(-18) + 2\/6. Let w = l + p. Which is the third smallest value? (a) -0.1 (b) w (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22511751041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1276 + -1396 - (-27 + -2)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/1118 and 19\/4844294.\nAnswer: 4844294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 4*c**2 - 3*c - 2. Let s be h(-4). Let d = s + -28. Let o = d - -36. What is the lowest common multiple of 28 and o?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 26. Let d(r) = r + 23. Let c(z) = -z**3 - 10*z**2 - 12*z + 4. Calculate the remainder when c(-9) is divided by d(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2601.56 minus 0.05?\nAnswer: -2601.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(-1*sqrt(200)).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 156*4\/8*(-7)\/(105\/5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*p - 8 = a - 82*p, -2*p = 2*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16606668 is divided by 2239.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977658804?\nAnswer: 2, 3, 4651, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/607089 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i + 0*i**2 - i**3 - i**2 - 10*i to the form u*i + w + d*i**2 + a*i**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/2958 and 89\/971448.\nAnswer: 28171992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/17, -15, 5, -2, 1\/3, -5?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**4\/3 - h**3\/6 + h**2\/2 + 2*h + 6. Let z(c) = -c**2 + c. Suppose 4*p - p = 3. Determine p*k(b) + 2*z(b).\nAnswer: 2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.1 + -20. Which is the nearest to 1\/7? (a) 0.4 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 45) + 230 + -119 + -19 + 1?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 6. Let d be z(-4). Suppose -d*h + 5 = 3. Solve -3*v + h = 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -351 + 455. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 11*j**2 - 179*j - 29. Let a be n(20). Does 21 divide 210*-18*a\/135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2417 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 8:44 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 7356977 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -642*y**2 + 2*y**3 - 642*y**2 + 1284*y**2 - 52*y + 5 - 6*y**3.\nAnswer: -4*y**3 - 52*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = q. Let u be (q\/6)\/(2\/(-24)). Calculate the common denominator of 63\/8 and (u\/20)\/(42\/2555).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32)\/48 - (-358)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 * -0.3\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b - 145970 = 234626. List the prime factors of b.\nAnswer: 2, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 28*o + 32.\nAnswer: -4*(o - 1)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11715231 - 6?\nAnswer: -11715237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2514*n + 137454 = -30984 for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4783120655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 7*s**2 + s**2)*(-3 - 12 + 17) + s + s**2 - 4*s + 2*s.\nAnswer: -7*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1266\/(-5))\/1 + 60\/(-75). Let d = l - -270. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-1*2 - -1). Suppose -3*l + 16 = -5*s - 1, -5 = -2*l - a*s. Suppose -10 = -l*n - 2. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 543624, 543472, 543318, 543162, 543004, 542844, 542682?\nAnswer: 542518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -7*j - 6. Let c(v) be the third derivative of 0*v + 1\/3*v**4 - 1\/5*v**5 - 1\/3*v**j + 0 - 1\/105*v**7 + 1\/15*v**6 - v**2. Factor c(o).\nAnswer: -2*(o - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 32 = 24. Suppose p*w - 28 = -7*w. Solve 0 = 5*x - 15, 5*s + 4 + 2 = w*x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Suppose 0 = y*t - 225 - 138. Suppose -4*g - 42 = -i, 4*i - 5 = 2*g + t. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6054531 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-5 - -2 - (-1 + -3 + -1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1430.44 + -1269.1. Let m = 159.7 - -0.3. Let w = m - o. What is w rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86741 and 2413?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63919501 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28\/9, 0, 41\/6 in increasing order.\nAnswer: 0, 28\/9, 41\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 975*y + 964*y + 980*y - 2890*y.\nAnswer: 29*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -48*n - 768. Calculate the remainder when q(-29) is divided by 300.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.4?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437392.\nAnswer: 2, 11, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46801*r**2 - 118*r**3 - 46801*r**2)*((-5*r**2 + 2*r**2 + 2*r**2)*(3 + 1 - 3) - r**2 - 8*r**2 + 4*r**2 + r).\nAnswer: 708*r**5 - 118*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/(-2457))\/(5\/(-6))?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 252.34 - 252.3499928. Let c = 0.01 + g. Round c to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -1728780?\nAnswer: 1\/144065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 3297645?\nAnswer: -3297641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 33.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**2 + 4244116*c = 0.\nAnswer: 0, 1061029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 74036 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1283*t - 5 - 1067*t - 230*t**3 + 3 - 1122*t**3 wrt t?\nAnswer: -8112*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (170\/(-975))\/(-17)*5.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*g = -0*d + 70, -g + 42 = 3*d. What is the remainder when 23 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.578 - -12.578. Is 4.9 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250385189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 6. Let q be u(-6). Solve q*p + 3*p = -6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b = -1252*n + 1255*n + 33, 2*n + 14 = 4*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26048.57 minutes to microseconds.\nAnswer: 1562914200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -19 in decreasing order.\nAnswer: 4, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/12276 and 13\/3348.\nAnswer: 36828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -11 - (139 - 122) - (-4 - -11)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w**2 - 15*w - 28*w**2 - 42*w.\nAnswer: -5*w**2 - 57*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 44*j**2 - 63*j + 2613. Give x(44).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -1 (b) -4 (c) 1\/23182 (d) 4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1218 in -2\/5, -35, -1\/2, 2\/11, 2?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1119305 is divided by 26650.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 250, 165, 83 in decreasing order.\nAnswer: 250, 165, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 11. Suppose 2*p + 4*q - 15 = q, 3 = a*p - q. Suppose 0 = 3*n + 3*w - 45, 0 = 3*n + n - p*w - 88. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1450*q. Let o(v) = 25*v. Suppose -5*g + 1762 = -4*c, 0 = -659*g + 655*g + c + 1403. Determine g*o(k) + 6*p(k).\nAnswer: 50*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = -h. Let x = -4 - h. Let m be (0 - -8)*6\/12. What is the closest to x in 5, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.49 (b) 787 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.32, -1, 1, 10, -1\/2.\nAnswer: -1, -1\/2, 0.32, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016993757 to six decimal places.\nAnswer: -0.001699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) - (-846)\/(-1269). Which is smaller: -7\/96 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*v - 77*v + 1278 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((121\/11)\/(-11))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 301 and 10405451?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, -10, -32, -66, -112, -170?\n\"Answer: -6*s**2 + 8*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240710 is divided by 895?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**2 + 26572*i - 559776 = 0.\nAnswer: -6664, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23059\/24 - -960. What is the common denominator of z and -16\/11?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.16 - -20. Let s = -5.16 - x. Which is the third biggest value? (a) 5 (b) -11 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20936 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 1665.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 20*g + 23*g - 788560 = 0, -3*g = -5*n + 3942926. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**8\/168 - a**4\/12 - 2*a**2 - 3. Let p(y) be the second derivative of j(y). Find the second derivative of p(b) wrt b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or -86.2886?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 7535626?\nAnswer: -7535624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -454 (base 11) to base 4\nAnswer: -20133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 241, 1, 2, -12 in increasing order.\nAnswer: -12, 1, 2, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hheb when four letters picked without replacement from {e: 4, h: 6, b: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, l: 5, o: 3, v: 3, s: 2, i: 1}. Give prob of picking 1 s, 1 l, 1 n, and 1 v.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/115)\/(1\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1071 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181995, -363989, -545983, -727977, -909971?\nAnswer: -1091965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 425415\/1077*(3\/(-1))\/15?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/14, 1, 0, 3, 2\/5, 0.21198 in ascending order.\nAnswer: -3\/14, 0, 0.21198, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 14 = 0, 8236*n - 31*t - 62 = 8240*n + 36 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12332*0.2.\nAnswer: 2466.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -227\/14 + 2355\/112. Let o = -705 - -1377\/2. Calculate the common denominator of o and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.7 times 0.4?\nAnswer: 36.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 88771*f**3 + 44371*f**3 + 0.\nAnswer: -44400*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19803.35057 - 19803. Let q = -0.71 + 1.062. Let w = c - q. What is w rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1759*w**2 + 21*w + 17. Let j(m) = 586*m**2 + 6*m + 5. Give 2*g(d) - 7*j(d).\nAnswer: -584*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - -8. Let y = -12 + b. Calculate the highest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 13 (c) 11 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 2090476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2167991 - 149940.\nAnswer: 2018051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-5)\/((-15)\/(-12)))\/((-4)\/102)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -8. Let m = h - -1. Suppose 2*d + 5*v - 6 = 0, 5*d + 4*v - 14 - 1 = 0. Which is the closest to 1\/2? (a) m (b) -1\/6 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-55)\/1100 - 10461\/(-20)?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 + 2*w**2 - 2*w + 4. Let o(t) = t - 1 + 2 - 2. Let a be (-4)\/(-6) + (-1)\/(-3). Determine a*g(i) + 2*o(i).\nAnswer: -2*i**3 + 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -316 (base 9) to base 2.\nAnswer: -100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2*sqrt(5500))\/(-5*2*sqrt(5) + sqrt(5)) - ((sqrt(1331) + 0 + 0)*1)**2).\nAnswer: 100*sqrt(11)\/9 + 6655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 29. Let k be q(-17). Let b(l) = l + 1. Let z(a) = 5*a - 6. Let u(s) = 4*b(s) - z(s). Let j be u(14). Sort k, j, -2, 9 in descending order.\nAnswer: 9, -2, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, e: 17}. Give prob of sequence eme.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -126.\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*p + 30*p + 63*p - 129*p + 19*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5867542 litres to millilitres.\nAnswer: 586.7542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 515.877 minutes?\nAnswer: 30952620000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccfc when four letters picked without replacement from fccfffcfffcfcccf?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 6:23 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2357709 + 227*r**2 - 2357709.\nAnswer: 227*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**3\/6 - t**2\/2 + 7*t + 6. Calculate o(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*g - 14493 = 0, 18151 = 5*c + 5*g - 5999. What are the prime factors of c?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 861771.3 litres to millilitres.\nAnswer: 861771300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*z + 166*z = -161*z - 816 for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/1256*(-8)\/(-20)*25\/65.\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91218157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19949*v**4 + 340*v**3 + 112839014*v**2.\nAnswer: -478776*v + 2040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2 - 8. Let l(r) = 3*r + 2. Let w be l(o). Suppose w = -2*i + 5*h, 0 = -0*h + h. What is the second biggest value in -4\/5, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 11*m**2 + 12*m - 4. Calculate the remainder when d(11) is divided by 1*(-200)\/5*(-8 + (4 - -3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 15*f**2 - 5*f - 3. Is j(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -12 + 0*f**4 + 1\/120*f**6 + 2*f**2 + 1\/2*f**3 + 0*f**5 + 0*f. Let s(y) = -1 - 4*y**3 - 1 + 2*y**3. What is 2*i(v) + 3*s(v)?\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 298484368 to the power of 1\/2, to the nearest integer?\nAnswer: 17277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.774183777 rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 + 38 + 32 + 3*o**3 + 39 + 30 - 26.\nAnswer: 3*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(-76)*(-1)\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3609 - 3627. Is w greater than or equal to -393\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {w: 5, k: 7, g: 1, s: 1}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 113984514187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4126*g - 3. Let t(b) = -16*b. What is z(t(d))?\nAnswer: 66016*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/6 of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -67*l**2 + 2*l - 5. Let o be q(-5). Round o to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2854 rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 228 - 111100?\nAnswer: -110872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 7:29 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25622118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5 (b) 4 (c) -0.4 (d) -4\/51 (e) 25\/4 (f) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in 2\/19, -3\/8, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9210041 (base 10) in base 14?\nAnswer: -131a601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2095305962 to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196292820?\nAnswer: 2, 3, 5, 3271547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4188288 or 4188585?\nAnswer: 4188288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -315 + 3?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -582, -1159, -1736, -2313?\nAnswer: -2890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, s: 5}. What is prob of sequence ps?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 68 + 38 + 36*u**2 as w*u**2 + k + o*u and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 25*v**2 - 47*v - 20. Let w be f(-23). Let z(p) be the first derivative of -2\/9*p**w + 8\/3*p**2 - 2 - 32\/3*p. Find y such that z(y) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-50)\/(-3))\/5*(-12)\/(-115). Is 0 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55040 = 8*x - 0*x. Round x to the nearest one hundred.\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160522278 to the power of 1\/3, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1979143404 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25597610 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8903 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18718652 is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113435 (base 7) to base 10.\nAnswer: -20459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-1*3\/(-15)). Let r(l) = -l + 6. Let q be r(f). Let d be ((55 - -3)*q)\/2. What is d rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 14*t - 9. Let b(l) = -l**2 + l - 1. Let r(c) = b(c) - i(c). Let p be r(-15). Suppose p = -0*u + 2*u. Solve 2*a - u = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142\/191 + -32729\/40683. Find the common denominator of r and -33\/5.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00088029 rounded to five decimal places?\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14155 divided by 21047\nAnswer: -14155\/21047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 - 18*h + 38. Let q(w) = -w**2 - 6*w + 13. Let c(j) = -4*b(j) + 11*q(j). Determine c(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 14925*k + 50. Let f be x(18). What is f rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + -6*(((sqrt(2299)*-2)**2 + sqrt(2299) - sqrt(2299)) + sqrt(2299)) + -3)*4)*-1.\nAnswer: 264*sqrt(19) + 220722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -2*d**3\/15 + 389*d**2\/20 - 97*d\/10 - 1007. Determine m so that c(m) = 0.\nAnswer: 1\/4, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b - 1c?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**29)**22 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*s = -28, -15 = -4*s - 11. Suppose y*k - 373 = 1595. Calculate the remainder when k is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3, 1\/6, 143, 0.4 in ascending order.\nAnswer: 1\/6, 0.4, 0.5, 3, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - 3*j)*(0*j**2 + 0*j**2 + j**2)*(-7 + 2 + 1).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*a**2 + 1702*a**3 + 55*a**2 - 1683*a**3 + 3*a**2.\nAnswer: 19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*g - 4 = -134*g. Which is the biggest value? (a) -0.7 (b) 0.4 (c) g (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -4, -1\/462, 2\/23, -56.5, 4?\nAnswer: -1\/462","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 1:43 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 1:33 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.8493 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnouoenn?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 12053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3215*w**3 + 24347598*w**2 - 24347598*w**2.\nAnswer: -3215*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1272, 2425, 3786, 5457, 7540, 10137?\nAnswer: 13350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 * -4102.8703\nAnswer: -6564.59248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -28991, 4, 66\/13 in descending order.\nAnswer: 66\/13, 4, -0.3, -28991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 e when four letters picked without replacement from jjejfkfejjjkkjefjjj.\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-3))\/((-3)\/(-45)). Let i(c) = 7 + 3*c**2 - 7*c - q*c**2 + 3*c**2. Give i(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 6*h**2 - 4*h + 4. Let y be i(-5). Let l be (y - 6\/(-4))*4. Suppose -3*f = -2*f - l. What is the third biggest value in 0, f, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 276, 2\/13, -2, 2\/3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 1678.\nAnswer: -1688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1568*p**3\/11 - 64176*p**2\/11 - 70110*p\/11 - 18900\/11.\nAnswer: 2*(p - 42)*(28*p + 15)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/9 - 5)*(-2)\/28?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 19, -65, 6008 in descending order.\nAnswer: 6008, 19, 2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*v**3 + 29*v**2 + v - 229324 wrt v.\nAnswer: -120*v**2 + 58*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1142.9 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3800*z - 19. Let o(d) = -634*d + 3. What is -3*a(h) - 19*o(h)?\nAnswer: 646*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 116954 or -0.105?\nAnswer: 116954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 6*y + 6. Let a(z) = -z - 1. Let u(k) = -4*a(k) - i(k). Let q = 3540 - 3537. Let l(v) = v**2 + 2*v + 1. Give q*u(d) + 4*l(d).\nAnswer: d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = 0. Which is the third biggest value? (a) -0.1 (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -0.1784.\nAnswer: -0.0784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-289)\/707 + 52\/(-6) + (-48132)\/(-5292)\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 270 = 9*w. Let g = w + -7. Solve m = 5*m - g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (-5 + 1) - 3. Let i(z) = -z + 2. Let d be i(b). Suppose 3*h = p + 22, 0 = 4*p - 3*p - d. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**3 - 2 - 49*s**5 - 8*s**3 - 2*s + 45*s**5 - 3 wrt s.\nAnswer: -80*s**3 - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*h - 3*o + 26, 0 = h - 5*o + 6. Solve 4*z = h - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-2 + 1 + 2)*(-7 + 7 + 3*s**5) - 4*s**5 - s**5 - 3*s**5.\nAnswer: -11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -125*i**2 - 27412 + 123*i**2 + 27412. Let o(g) = -g + 3956. Determine o(f(n)).\nAnswer: 2*n**2 + 3956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4501188 and 84?\nAnswer: 31508316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**8\/2240 - j**5\/30 + j**4\/8 + 2*j**2. Let t(v) be the second derivative of p(v). Find the first derivative of t(z) wrt z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3656241 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20, 17, 6, -19, -64, -135, -238, -379?\n\"Answer: -q**3 + 2*q**2 - 2*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 29*i - 534. Calculate p(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0, 2\/7, -285, 3, -0.2, 0.1, -0.066?\nAnswer: -285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-67)\/22 - ((-4)\/18 - (-196)\/4851). Which is the smallest value? (a) -1\/4 (b) -3\/8 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**3\/2 + x**2 - 5*x. What is v(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -764943 times 0.284?\nAnswer: -217243.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**8\/28 + h**5\/20 - 13*h**2. Find the third derivative of v(g) wrt g.\nAnswer: 720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91442 - -614947452\/6725. Is b bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 4. Let g be l(3). Let p be g\/4 + 39\/12. Find the second derivative of -2*n - 3*n**p + 0*n + n wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 994014994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61870\/1041 or -59?\nAnswer: -61870\/1041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**5\/7 + 3*c**4\/7 - 9*c**3\/7 - 3*c**2\/7 + 6*c\/7 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3335, 6649, 9965, 13283, 16603, 19925, 23249?\n\"Answer: b**2 + 3311*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + -1 + sqrt(72) - (-4*(sqrt(72) - ((sqrt(72) - sqrt(72)*1) + sqrt(72))) + 5))**2.\nAnswer: -48*sqrt(2) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 42. Let t(w) = w**3 - 20*w**2 + 23*w - 24. Calculate the least common multiple of t(19) and b.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3348 - 3115. What is the remainder when s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 954361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5900292060 and 780.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1589, -3182, -4777, -6374, -7973, -9574?\nAnswer: -11177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27934933 by 5.\nAnswer: 27934933\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.03, -4, 5.\nAnswer: -4, 0.03, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3077783883 to the power of 1\/4, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.61418 to one decimal place.\nAnswer: -16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24558253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3 + 5622*b**2 - 7811001*b - 255741728 = 0. What is b?\nAnswer: -32, 2827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2607*t**3 + 38*t**2 - 5111. Let p(y) = -521*y**3 - 7*y**2 + 1022. Let v(n) = -2*c(n) - 11*p(n). Find the third derivative of v(r) wrt r.\nAnswer: 3102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(475))*4.\nAnswer: -12 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 860 - 1331. Let i = m - -470. What is the closest to i in 1, 1\/5, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3327*o + 309510. Calculate m(-93).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 17*i + 19. Let a be f(10). Let d = 26 + -45. Let c = d + a. Calculate the remainder when c is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -1 + (-12)\/(-6). Let r be ((-306)\/(-119))\/(x\/28). What is the greatest common factor of r and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-9 - -10) + -21 + 52?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000076 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 + 4*f + 2 + 1 + 2*f**3 - 6*f to d*f**3 + v*f**2 + w*f + i and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 + 489 + 22)*(-y + 0 + 0).\nAnswer: -440*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 35*y - 160. Let v be b(-30). Let j be (5\/(-3))\/(v\/30) + -19. Which is smaller: j or -8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2481 and 11721071?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.113494 rounded to zero decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -4\/7 (c) -274168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 568265929 a multiple of 3487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b89 (base 16) to base 3.\nAnswer: -1012010220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(65)*-1 + sqrt(65))\/(sqrt(40)\/sqrt(200)).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -3852.\nAnswer: 1\/1926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l - 11. Let q(i) = 8*i - 10. Let a(s) = -6*q(s) + 5*y(s). Let h(k) = 7*k - 4. Calculate -6*a(b) - 7*h(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 262.6712 millilitres?\nAnswer: 0.2626712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 821189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1370 is divided by 125.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {t: 4, o: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11123692?\nAnswer: 2, 2780923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 - -38. Let k = d + 32. Sort 5, k, 4 in decreasing order.\nAnswer: 5, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 1. Let d(k) = -2*k + 28. Determine -d(z) - 3*t(z).\nAnswer: 5*z - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.635, -3.4, 11\/13, 0.3?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10025 (base 6) to base 2.\nAnswer: -10100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12310032 (base 4) to base 2.\nAnswer: 110110100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3964266 divided by 1982133?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2190669 divided by 3?\nAnswer: 730223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 4*x - 9*x)*(7*x**3 + 25*x**2 - 25*x**2).\nAnswer: -63*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b074b (base 15) to base 3.\nAnswer: 2110221210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 59962 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 21564.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-26)\/(-3))\/(2\/6). Suppose -g + u = g. Let h = g + -6. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**6\/50 + 9*g**5\/50 - 13*g**4\/20 + 6*g**3\/5 - 6*g**2\/5 + 2*g. What is d in v(d) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**5\/8 + 4731*s**4\/8 + 207195*s**3\/4 - 707391*s**2 = 0.\nAnswer: -1483, -106, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2. Let j(a) = 3*a**2 + 2. What is c(j(n))?\nAnswer: 18*n**4 + 24*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1278 - 492. Suppose -5*d + p = -3*d. Suppose -8*j = -7*j - d. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 18*f = -469485. Suppose 6*x - 322507 = -w + 2*x, 1612490 = 5*w + 5*x. Let n = w + f. Round n to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 minus 14485?\nAnswer: -14486.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -10210010?\nAnswer: -10202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 m when two letters picked without replacement from {t: 3, m: 8, u: 1, b: 2, j: 2, d: 1}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 214*z - 216*z - 3*o + 8, 5*o = -64*z + 63*z + o - 6 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.09 - -2.29. Let f = j - 2.6. Which is the nearest to -2\/3? (a) 4\/3 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 - 1.31. Let t = o + -1.99. Which is greater: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (0 - 1) - (-86724 + 86700)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 56*t**2 - 9*t + 9*t.\nAnswer: 56*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k + 15*k**2 + 0*k + k - 3*k. Let x be o(1). Solve x = -2*f - 3*g, 28 = -4*f - 8*g + 3*g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffeqy. What is prob of sequence efe?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-32) - 52\/(-16). Solve 0 = 3*l + m - 0*m - 7, j*l - 4*m + 13 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.8 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 5. Let h be m(-3). Calculate the common denominator of (-3*(-52)\/30)\/(-4) and (-4 - h) + 2\/(-16).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1866024158?\nAnswer: 2, 271, 3442849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 15. Suppose -j*p + 6*p = 44. What is the highest common divisor of p and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 541443 + -25312?\nAnswer: 512131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q**(-6))\/(((q*q*q*q\/q**6)\/q)\/(q*q\/(q**5*q))) assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.35181897 - 4.352. What is b rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10977?\nAnswer: 3, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1357937 and -0.76920985.\nAnswer: -1357937.76920985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - k - 1. Let q(f) = -2*f**2 - 4*f - 3. Give -q(h) + 4*w(h).\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 9*i + 3. Let t(q) = 2*q**2 + 10*q + 3. Let d(z) = 3*k(z) - 2*t(z). Let x be d(7). Is x > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2 - 3. Let p be 1*(-3 + 2) - -5. Which is the second biggest value? (a) -2\/13 (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 4*n**4 + 245*n**2 - 5 + 9 - 17*n**2 - 3*n + 5*n**4 as l*n**3 + m*n**2 + s + b*n**4 + p*n and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363218 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 500 and 340.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 475.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/2630 and 65\/1098.\nAnswer: 1443870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 9*d + 2. Let z be t(8). Does 11 divide ((-15)\/10)\/(z\/244)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.4672147 rounded to 1 decimal place?\nAnswer: -13.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4551108621.\nAnswer: 3, 157, 1307, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 11:50 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 8:38 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.4 (b) 0.5 (c) -2 (d) 1442983 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21299\/28400 + -1\/28400. Let k = -0.6 + -0.4. Let q = 3 - 6. Put r, k, -4\/7, q in decreasing order.\nAnswer: -4\/7, r, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25590, -51201, -76812, -102423, -128034, -153645?\n\"Answer: -25611*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/9 (b) 6 (c) -1\/3 (d) 3\/16 (e) 107\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -160 - -162. Factor 2\/7*h - 2\/7*h**3 + 2\/7*h**f - 2\/7*h**4 + 0.\nAnswer: -2*h*(h - 1)*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + -50 - (1 + -9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7247203.\nAnswer: 547, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*m - 38*m - 306 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w - 17. Let h(g) = -47*g**2. Let n be h(1). Let r = n + 21. What is the hundreds digit of v(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-148)\/(-20) + -8 + (-48)\/(-5). Which is smaller: l or 30?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9577 minus 1.6214858?\nAnswer: -9578.6214858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 1:30 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y**2 + 2*y**2 + 0*y**2)*(1 - 2 + 3) - 2656*y**2 + 567*y**2 + 1072*y**2 to m*y + b + f*y**2 and give f.\nAnswer: -1021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 - 1. Let r = 65 + m. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000176328177 to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 6*v**2 + 3*v - 7. Give d(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 + 116 - (4 + -1 + 1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*i + 4927 + 6449 - 1416 = -16976 for i.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8325 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2585624404.\nAnswer: 2, 11, 947, 62053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5489266059591\nAnswer: 5489266059591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*z**2 + 56*z**2 + 53*z**3 - 19*z**2 wrt z?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 311152 and 60.\nAnswer: 4667280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**2 + 141*i + 290. Let f(h) = 65*h**2 - 1835*h - 3770. Let y(u) = 3*f(u) + 40*r(u). Let y(m) = 0. Calculate m.\nAnswer: -2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -21*w**2 + 981096*w + 140157 = 0.\nAnswer: -1\/7, 46719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.26779 to the nearest integer.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2306, -2847, -3818, -5225, -7074?\n\"Answer: -i**3 - 209*i**2 + 93*i - 2189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6345839 is divided by 772.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 1817*v**5\/60 + 85*v**4\/3 + 196*v**2. Find the second derivative of b(d) wrt d.\nAnswer: 3634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/2 (b) 4908 (c) -2\/21 (d) -1 (e) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22335*r**4*v*z**2 - 5*r**2*v**2*z - 2*r - 891*v**2*z**2 - 6*v**2 wrt r?\nAnswer: 268020*r**2*v*z**2 - 10*v**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3604679 is divided by 310.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p - 2*c, 5*c = 3*p - 7 - 0. Find the second derivative of 2*h**4 + 0*h - h**p - h - 3*h**4 wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-36) + (-9)\/(162\/(-76)). Put p, 7, -2, 0 in ascending order.\nAnswer: -2, 0, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 4\/125, -2\/7, 15, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in years?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-18) - (-4)\/18. Suppose u = -9*w + 4*w. Solve w = -2*s - s + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4856\/1558 + (18\/6 - 1). Let f = -119\/19 + l. Find the common denominator of f and 19\/4.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 4*k - 1. Let l be a(3). What is the units digit of ((-1)\/2)\/(l\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjsjjssjzzjjjzss. Give prob of picking 4 s.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -112.601243 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 3*s**2 + 7. Let x be w(7). What is x rounded to the nearest ten?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 12*a - 20 = 0. What is the second derivative of 30*o + 8*o**a - 45*o**4 + 27*o wrt o?\nAnswer: -444*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -1, -8 in descending order.\nAnswer: -1, -8, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 v when four letters picked without replacement from vhhhhhvvhvhhhvhhhv.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 7. Suppose -5*x + 14 = -11. Let r be q(x). Sort 1\/6, -5, r in decreasing order.\nAnswer: r, 1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 3771*g - 197309. Calculate n(53).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31320 and 1719468.\nAnswer: 17194680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 b when three letters picked without replacement from {b: 9, u: 2}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10902738237 - -0.5958\nAnswer: 10902738237.5958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + -4*sqrt(209)*5)*-1)\/(sqrt(33)\/sqrt(3)*1 + sqrt(44)\/(sqrt(12)\/sqrt(3))).\nAnswer: 19*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -11 + 26 + (0 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.296. Let m = 641728 - 641727.9040102. Let a = w - m. What is a rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 11*p - 10. Let x be (5 - 4)\/(2\/14). Is k(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Let r = -1.5 - 0.5. Which is the second biggest value? (a) r (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 21122001011?\nAnswer: 21122000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 p when four letters picked without replacement from {p: 5, v: 1, s: 1, k: 1, l: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 + -13. Let f be (-12)\/(-5) + (-16)\/s. Let q(u) be the second derivative of -u**4\/12 - u**3\/6 - u**2 + 2*u. What is q(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + 1)*5 + (4*(sqrt(28) + 1))**2 + -2.\nAnswer: 99*sqrt(7) + 467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6204, 12402, 18600, 24798, 30996, 37194?\nAnswer: 43392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1.04, -2\/5, -109.42?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-18)\/(-24))\/(273\/56)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 4\/5 (c) -341\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 187 and 85.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 10:15 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4476 by 6.\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61861, 248301, 559325, 994933, 1555125?\nAnswer: 2239901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6815*b + 61. Is r(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, x: 16}. What is prob of picking 2 x?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/13340007 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2 (b) 555 (c) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9901 + 14716. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 5*c**2 + 21*c + 27. Let z be s(8). Sort -3, z, -13, -2 in descending order.\nAnswer: z, -2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.053.\nAnswer: 0.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14366696, -14366695, -14366694, -14366693, -14366692, -14366691?\nAnswer: -14366690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -554704615 divided by 110940923.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/8 - -2)*41528\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 338981 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 963*n**3*z - 7*n**2*z**2 - 2*z**2 + 10*z + 1989 wrt n.\nAnswer: 2889*n**2*z - 14*n*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 4*q - 4. Let s = -346 + 349. Determine v(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**5\/12 + 35*l**2\/2 - 12*l. Let o(x) be the first derivative of b(x). What is g in o(g) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 1\/4*i**4 - 1\/120*i**6 + 0*i - 2*i**2 - 1\/6*i**3 + 1\/20*i**5 + 0. What is the remainder when 12 is divided by q(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -3. Solve 4*w - 12 = -0*w - h*c, 3*w - c = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/2519?\nAnswer: -4\/2519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 - -110. Let m be u*1 + 9629955\/(-9). Round m to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**2 + 3. Suppose 39*m + 72 = -6. Calculate v(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -5, 1\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + -3 + 2*sqrt(1053))**2 + 1*sqrt(1053)*-5 - (1 + -1*sqrt(1053) - sqrt(1053)*-1*-3))*-4.\nAnswer: -37940 + 684*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1030 - 335 = 5*c. Let p = c - -3803\/14. Find the common denominator of p and 94\/20 + (-6 - 14\/(-7)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, w: 3, t: 4}. What is prob of picking 2 p and 2 w?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57.049, -4, 2\/31 in ascending order.\nAnswer: -4, 2\/31, 57.049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34352 + -541?\nAnswer: 33411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*g**3 - 11*g**2 + 5*g**2 - 15*g**2.\nAnswer: 22*g**3 - 21*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upu when three letters picked without replacement from ujuujihijup?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 - 4*y**5 + y**5 + (-2*y + 2*y - 4*y)*(94*y**4 - 1002*y**2 + 1002*y**2).\nAnswer: -378*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-12)\/(-3))\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1226 - -2?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 77*m - 36. Let x(p) = -19*p + 8. Let z(u) = 2*l(u) + 9*x(u). Let c(r) = -19*r. Determine z(c(b)).\nAnswer: 323*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.4 + -5. Let d = 84043 - 84035. Which is the nearest to -1\/3? (a) 0.06 (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**3\/15 - 87*r**2\/10 - 535. Suppose l(k) = 0. What is k?\nAnswer: -87, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 5*z**2 + 2. Let d be h(-5). Suppose d*u - 63 = -u. Let c be (-634)\/(-14) + (-6)\/u. What is the greatest common divisor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-4)\/2)*(-9 - -7). Calculate the smallest common multiple of 74 - (w\/3)\/(9\/(-81)) and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 1, 1693, -392, -7 in ascending order.\nAnswer: -392, -7, -5, -2, 1, 1693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 6387.\nAnswer: -6383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 33 = -52. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -3*l + s - 46, -2*l - 5 = 5*s for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f + 4 = 0. What is the tens digit of 37 - 12\/(f - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l + 14. Let c be m(4). Solve 0*k = -c*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 943 in 0, -15, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5285394013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1025 and 16810?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -260 or -259?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*2\/4*6. Suppose p*w = -w - 12. List the prime factors of (0 + -1)*(-10 - w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11143 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9670 - 9666. Let g(y) be the first derivative of -p - 6*y**2 + 0*y**5 + 0*y + 0*y**4 + 0*y**3 + 1\/3*y**6. Find the second derivative of g(h) wrt h.\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 1626?\nAnswer: -325.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 19*r**2 - 3*r**2.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 12*w**2 - 11*w + 4. Let u be x(11). Suppose 5*t + 4*n = 23, 5*n - 13 = -u*t + 3*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/12 + (-244)\/(-24))*-3. Let q be (-24)\/(-14)*9\/((-36)\/28). Is m less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49381487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3*1*12*(-3)\/(-36)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46921 + -20425. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -152*d + 140 - 1014 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**5\/2 - 67*a**4\/2 + 337*a**3 + 7925*a**2 - 11039*a\/2 - 5415\/2 = 0.\nAnswer: -19, -1\/3, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001099624 rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_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: What is the tens digit of 422072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38871 + 21311 = 47*l - 20333 for l.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 2*y. Let j(c) = -c**3 - 5*c**2 - 131*c - 1. Calculate j(p) - 5*l(p).\nAnswer: -p**3 - 121*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112 + -72. Let o = -90.8 + 130.7. Let t = o - k. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -159.96 - -160. Sort q, -1\/3, 5, -0.4 in decreasing order.\nAnswer: 5, q, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6432 is divided by 62.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*d + 97 = -b, 0 = -9*b + d - 257. Is b greater than -0.143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6723, 6191, 5661, 5133?\n\"Answer: s**2 - 535*s + 7257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 9*t + 37, 2*n + 59*t - 6 = 60*t. Solve 0 = 15*s - 16*s + n for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.05 (b) -1 (c) 430 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/11 + 4*o**4\/11 - 168*o**3\/11 + 316*o**2\/11 - 14*o = 0 for o.\nAnswer: -11, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12740 and 20020?\nAnswer: 140140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(-3\/2)\/u)*u*u*u**(-1\/4)*((u*u*u**3)\/u)\/(u**(-4)\/u) assuming u is positive.\nAnswer: u**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -19 - -1 - ((-17 - -11) + 1 - 2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 59348000 to the nearest 1000000.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -14*g - 3. Let k(n) = 7*n + 2. Let d(b) = 3*h(b) + 5*k(b). Determine d(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15516 - 4680 = -t - 8*t. Is 68 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*b - 37*b + 72*b - 89)*(2 + 0 + 0)*(4 - 14 - 19) in the form j + l*b and give j.\nAnswer: 5162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74? (a) -1\/2 (b) -4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 - y - 2*y + 132*y**4 - y**3 - 127*y**4 - y in the form c*y**2 + h*y**4 + k + o*y**3 + n*y and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09544 - -1159793?\nAnswer: 1159792.90456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 + 34 + 38*y**2 + 3*y**2 - 7 + y**2 + 11*y. What is the thousands digit of t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from {f: 7, t: 2, v: 1}?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 32 = -u, 19*u - 133 = -17*q + 23*u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2089505271 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 6.4, 1\/3, 12\/11?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-107)\/19*-1 - (2 - -4). Let v = -229 - -230. Is v < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*t = 52 - 147, -2*t + 30 = j. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2370\/(-237) - (-2 + (-10)\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/23)\/b)\/b**(-30))\/(b\/(b\/(b**(7\/2)*b)))**(-2\/45) assuming b is positive.\nAnswer: b**(3368\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-1)))**(-15)\/(j*j\/j**(1\/11)*j*j**8))\/((j**(2\/3)*j)**30\/((j*j*j**(2\/3))\/(((j\/(j\/j**(-3\/2)*j*j))\/j)\/j))) assuming j is positive.\nAnswer: j**(-2491\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9*(0 + -3 + 1 + 3). Let x be 4\/(-1 + (-15)\/j). Solve 5*b = -q - 14, x*q + 2 = 3*q + 5*b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7920\/(-440) - 11*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 473130 and 22530?\nAnswer: 473130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94168 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 295394 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 + 11*f + 8. Let o(n) = -n**2 + 7*n + 5. Suppose -h - 4*k = -2*h + 17, 0 = -k - 3. Give h*w(l) - 8*o(l).\nAnswer: -2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 60056*x - 449. Is l(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 1. Let r(u) = 3*u - 21. Let m(k) = 4*k - 46. Let v be m(13). Let a be r(v). Let l(n) = 6*n + 4. Determine a*l(s) - 16*y(s).\nAnswer: -2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-27) + (-146)\/(-6). Let s be ((-46)\/3)\/((-16)\/c). Solve -5*m - 2 = s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.065 * 37786.\nAnswer: -2456.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*l*u**2 + 275*a**3*l*u - 57*a**2*l*u - 57437778*a*l**2*u**2 - 9*a*l**2 + 2*a*l - 10*a*u wrt u?\nAnswer: 2*a**3*l - 114875556*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = 5*j - 3*v - 118, 23*j + 99 = 5*v + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296384257.\nAnswer: 13, 1753753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.339063548 rounded to four dps?\nAnswer: -0.3391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 6*n - 12. Suppose 3*c + 8 = -4*o + 3, 2*c - 4*o = 30. Put 1, c, n in ascending order.\nAnswer: 1, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329450.\nAnswer: 2, 5, 11, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -17\/4, -1.\nAnswer: -14, -17\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 12*g**2 - 3*g + 25. Determine n(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4a (base 14) to base 13\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j + 6. Let m = -15 + 9. Let u(a) = -6*a - 7. Let n(k) = m*u(k) - 7*y(k). Let l(i) = 12*i**2. What is l(n(g))?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 25.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 109389904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23633 - 13466. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -198 - -203. Let h(g) = -g**3 - g**2 + 5*g + 3. Let f be h(-3). Let t(b) = 9*b + 1. Let v be t(f). Calculate the highest common factor of u and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o - 4*o - 469*o**5 + 167*o**2 - 1847*o**4 + 1847*o**4 - 125*o**5 wrt o.\nAnswer: -35640*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155119?\nAnswer: 155119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -274278095 divided by -4?\nAnswer: 274278095\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*r = 44*r - 5*q - 40, 0 = 5*r + 4*q - 2 - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.1759 centuries to months.\nAnswer: 85411.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {g: 11, c: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 23*r**2 - 20*r + 869. What is s(0)?\nAnswer: 869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 425363 (base 8) in base 2?\nAnswer: 100010101011110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12126*a**3*d**2 - 21*a**3*d + 18*a**3 + 5488*a*d - 28*d**2 wrt d?\nAnswer: 24252*a**3 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/8250*11*5 + (-5430)\/875.\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/7 - 26*k**3\/7.\nAnswer: -2*k**3*(k + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*a - 12 = -48*a, 50 = 4*q - 2*a. Solve -4*w = -q*w + 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*l = -15 - 25, l = a + 12. Let x be 1246\/(-77) + (6\/11)\/3. Which is greater: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*m = 2*y + 266*m + 30, -5*y - m = 75 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**2 - 377629*b - 17755885?\nAnswer: 6*b - 377629","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(125) + -1)*5 - (-1*sqrt(2000) + sqrt(2000) - sqrt(20))\/(-1*sqrt(484)).\nAnswer: -15 + 824*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 133615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -16*j + 6*j + 7*j - 10. Calculate x(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124469, -124466, -124461, -124454, -124445?\nAnswer: -124434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-225)\/5)\/(84 + -87)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2996 is divided by 205?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q - 7028 + 10655 = -123*q for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 3*r + 2*r**3 + 40*r**2 - 32*r**3 - 40*r**2 + (-1 + r**2 + 1)*(-2*r + 1 - 1).\nAnswer: -32*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1378 + 2)*(-49 - -53). What is n rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.117929661 rounded to 3 dps?\nAnswer: -0.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49.222 - 49. Round r to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.01, -42\/65 in descending order.\nAnswer: 3, 0.01, -42\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614482462?\nAnswer: 2, 11, 27931021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/23 - 762320\/(-1495). Let t = 550 - a. What is the highest common factor of t and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (1 + 0 + 29 + -33) - -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 2*a - 6*a)*(2*a + 4*a**2 + 1787*a**3 + 1789*a**3 - 3593*a**3 + 1) in the form m*a**4 + h*a + i*a**3 + v*a**2 + t and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 2*a + 3. Let o be i(-2). Let n be (-20)\/(30\/(-3) + 6). Let p(k) = o*k - 4*k + 1 + n. What is p(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 917304 by 296.\nAnswer: 3099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*r - 79 + 44 + 35 to the form g*r + l and give g.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/269 and 31\/1346?\nAnswer: 362074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/92048 and -131\/2711232.\nAnswer: 29823552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -526, -2106, -4740, -8428?\n\"Answer: -527*y**2 + y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.19 and -1053.5.\nAnswer: -200.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 832*z + 441 - 444 - 1999 - 494 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*a)*(-1 - 3*a - a - 1)*(-14*a - 6*a + 13*a).\nAnswer: -56*a**3 - 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 32*c + c**2 - 32*c. Let y(a) = 10*a + 4. Let j(m) = 51*m + 21. Let f(r) = 4*j(r) - 21*y(r). Calculate v(f(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(126) - 1*sqrt(126))*-3)\/((-4*(sqrt(24) - sqrt(216)) + sqrt(24))\/sqrt(12))*3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -20. Calculate the highest common divisor of 36 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.294979 meters to kilometers.\nAnswer: 0.005294979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 159?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (125 + -123)\/(2\/6 - (-10)\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8219*z = -8245*z - 520 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 121972649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 83710\/29, 3\/8?\nAnswer: 83710\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -8, 4*f = -2*g + 3*g - 128. Let r be ((-4)\/6)\/(f\/651). Calculate the greatest common divisor of r and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + (-343)\/(-42)*27\/(-210)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 2 (c) -0.3 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 31*n + 32. What are the prime factors of q(-25)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-18)*w**18*w)**(-25\/6) assuming w is positive.\nAnswer: w**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + d. Let o be j(0). Suppose -5*f - 2*y + 1957 = o, 3*f - 1183 = -6*y + 7*y. Is (-2 + (-10 - -2))\/((-6)\/f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1207521 + -149536. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 780 (base 11) to base 12.\nAnswer: 65b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.875 to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 h, and 1 j when four letters picked without replacement from bdjjbjjdjhjjdbjhjb.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**3 - a**3 - a**3 + (a**3 - 3*a**3 - 2*a**3)*(-3 - 1 + 5)*(-4 - 1 + 4) to the form h + b*a**2 + y*a + t*a**3 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/((p*p**(1\/12))\/p))**(2\/23)*(p**4)**34 assuming p is positive.\nAnswer: p**(817\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -3, 3.\nAnswer: -3, -2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (413 + -420 - (-2 - -16)) + (0 + -2 - -7)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54945 is divided by 139?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + 16*a - 32. Let p be t(4). Are 26\/35 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 0 + 1\/20*r**5 + 2\/3*r**3 + 1\/12*r**4 + 0*r + 5*r**2. Let u(l) = 4*l**2 + 3*l + 5. Give 5*p(g) - 4*u(g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-12))\/(4\/(-18)). Suppose 97 = z*w + 37. Suppose -16 = -2*b + b. Calculate the lowest common multiple of w and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7627128?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2*u = -23, -2*p + 856 - 221 = 49*u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21869022*y**2 - 10493274?\nAnswer: -43738044*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 3*g + 3, 5*n = 2*g + 220 - 208 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m - 4. Let z(i) = i**2 + 5*i + 7. Let f be z(-4). Let k be a(f). What is the nearest to -0.1 in k, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 167462.4728967 - -0.07.\nAnswer: 167462.5428967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 15\/422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -46*r**3 - 2*r**2 - 98652*r - 98652. Give v(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 4 + 0 + 6 = q, -3*v - 6 - 27 = -5*q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(243)*6 - (sqrt(4800)*-2 + sqrt(48))) + 1)**2.\nAnswer: -172*sqrt(3) + 22189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3662 + 3694. What is the highest common factor of q and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.955 (b) -5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6002564 (base 7) to base 5\nAnswer: 140104441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145 (base 13) to base 9.\nAnswer: -271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 71*u + 69*u + 30*u - 136*u + 38*u. Let q(b) = 5*b**2 - 3*b + 3. Let v(o) = 4*o**2 - 2*o + 2. Let n(m) = -2*q(m) + 3*v(m). Calculate n(t(d)).\nAnswer: 10368*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115797 - 8*i**3 - 3*i**2 + 115797 + 11*i**2 - 5*i**2 + i**2.\nAnswer: -8*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, p: 4, u: 3, k: 6, g: 1, r: 3}. What is prob of sequence oor?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-7))\/(((-54)\/(-9))\/42)*630\/(-84)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 503, 493, 481, 467, 451, 433, 413?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6180540 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 7 + 5, 2*b + d = 513. List the prime factors of b.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -401956\nAnswer: 11\/401956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -11 - 7) + (-2 - 0) + -14.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205 (base 9) to base 15.\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 21*l**2 + 21*l + 18. Let g be n(22). Let p(r) = -8*r + 14. Let k(q) be the first derivative of 3*q**2\/2 - 5*q + 1. What is g*p(j) - 11*k(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0063 or -0.36?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -296515 or -296518?\nAnswer: -296515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -5, 10588 in decreasing order.\nAnswer: 10588, 95, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21.81725 grams?\nAnswer: 21817250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 551991 or 551995?\nAnswer: 551991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -911*b + 4*b**2 - 2*b**2 - 917*b + 1828*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1814.6 to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a gram in micrograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.4 + 2. Let m = 2.5 - 2.6. Let n = -0.2 + 0.5. Which is the nearest to m? (a) o (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h + 2*h)*(-1 + 2 - 2) + 2*h + h - 4*h - h - 4*h + 6*h + (4*h - h - 2*h)*(-1 + 1 + 1) + 34 + 13*h - 34.\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - 11*g**2 - 23*g + 14. Let c be y(7). Solve c*k - 2*k + 12 = -4*q, 4*k - 16 = 4*q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2\/13, 5 in descending order.\nAnswer: 5, -2\/13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122*s**4 + 136*s**3 - 46*s + 83 wrt s?\nAnswer: -1464*s**2 + 816*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -3 - (-770)\/242)\/2.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**5 + 18*m**4 - 24*m**3 - 18*m**2 + 27*m = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 845770353 or 845770355?\nAnswer: 845770353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 0*j**2 + 4 - 1\/2*j + 1\/6*j**3. Determine c, given that t(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/6*25\/((-1250)\/40)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {s: 1, j: 14}?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 + 5 + (-3)\/3 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*0*(-1)\/1. Let i(u) be the third derivative of -u**2 + 1\/3*u**3 + 0*u + 0 + 1\/24*u**4. Determine i(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*j**2*x**2 + 2*i*j*v*x**2 + i*j*x**2 + 3*i*v*x**2 - 5*i*v - 9*j**2*v*x**2 - 4*j**2*v*x + 2*v wrt j.\nAnswer: -4*i*x**2 - 18*v*x**2 - 8*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u**3 + 0*u**4 + u - u**4 + 8*u**3)*(3*u - u - u)*(4 - 4 - 7).\nAnswer: 7*u**5 + 7*u**4 - 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -30. Suppose t = z*t - 210. Suppose -7 = -g + t. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -f - 60, 4*f - 4 = g + 3. Let o(z) = z. Let d be o(1). Let t = g - d. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c - 10. Let o(t) = 1. Let x(h) = 2*n(h) + 20*o(h). Let f(z) = 7*z. Let p(k) = -k. Let i(m) = -6*f(m) - 39*p(m). Calculate x(i(y)).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**6\/360 - n**4\/6 - n. Let j(l) be the third derivative of r(l). Let z(c) = 4*c**2. Calculate j(z(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**4\/4 + 3*y**3 + 6*y**2 + 6*y + 125. Calculate the smallest common multiple of v(-6) and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8249 and 1921?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 152*k**3 - 2*k + 3169*k**3 + 3*k.\nAnswer: 3321*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/9)\/(6\/9). Let o = 5\/3 + n. Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 545? (a) 0.66 (b) -2 (c) 4\/9 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -127 and -0.5?\nAnswer: 126.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 734246529?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*q - 4*q - 5*q)*(-1 + 3 - 1)*(-2*q**2 + 4*q**2 - q**2) - 2*q**3 + 2*q**3 - q**3.\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -455698\/109 greater than -4180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**4\/12 - 5*i**3\/6 - i**2\/2 - 28*i. Let j be x(6). Solve 4*g = j*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 2531100*m - 320323360500.\nAnswer: -5*(m + 253110)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 8 + 4*a - 2*a - a + 3*a. Let c be t(6). Put -3, 1, c in decreasing order.\nAnswer: 1, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 3 + 28 + 2. Does 7 divide 1 - -2 - h\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.389817 to two decimal places.\nAnswer: -1.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 17*d**4\/12 + 26*d - 30. Let q(v) be the first derivative of g(v). Let c(u) = u + 7*u - 7*u. What is q(c(y))?\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8825 rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7 + (-104)\/(-28). Suppose 0 = 11*c - 10*c - 18800. Suppose v*r - 8*r = -c. What is r rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 688 divided by 172\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5570 times -25.9?\nAnswer: -144263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2732 - 2737. Let x(q) be the first derivative of -q**4\/4 - 4*q**3\/3 + 3*q**2 + 8*q - 1. Let b be x(r). Solve 3*o = b*w + 6, 2*w - 7*w + 20 = o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*t**3 - 2*t**3 + 3*t**3 + (3*t**2 - 5*t + 5*t)*(-t + 3*t + 0*t))*(-1 - 1 + 5 + t) in the form w*t**2 + d*t**4 + k*t + u*t**3 + s and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -2. Let y = 3 + a. Let t(q) = -q**2 + 1. Let f be t(y). Put -4\/3, f, 4 in decreasing order.\nAnswer: 4, -4\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9))**(15\/7)\/((o**(-5)*o)\/o)**(2\/65) assuming o is positive.\nAnswer: o**(-88\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 - 23. Suppose 2*h + 2*k = 40, -2*h - 3 = -5*k - c. Solve -3*m + g = -11, h = m + 4*m - 2*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 + 1002\/(-126))*-6*-14. Which is the closest to -1\/2? (a) -31.6 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3266956)\/(-63))\/((-30)\/(-675)). What is i rounded to the nearest one thousand?\nAnswer: 1167000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-22))\/(612\/1122)*(-9)\/(-6)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-4 - (7 - 7)) + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 - (85 + (6 - 15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in years?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.222 - -0.122. Let d = -1 - -1.2. Is y at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**2 + 3560*o - 10635 = 0.\nAnswer: 3, 709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46810 + -30051. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1158.7552 + 1.5852. Let l = 1152 + j. Round l to 1 decimal place.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 22, -3, -5 in ascending order.\nAnswer: -5, -3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9\/2 + -4. Is 3\/5 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19632 is divided by 9799.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -452 + 254. Let y = h + 202. Let l = -0.63 - -0.03. What is the smallest value in -0.1, y, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10610389 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2. Let o = -8 - -8. Let l(n) = -n + 3*n + o*n. What is x(l(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3523*d - 2. Let q(v) be the first derivative of -2*v**3\/3 - 5458. Calculate l(q(b)).\nAnswer: 7046*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 2:26 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18*(1 - 400\/528). Factor 0 + 18\/11*h**3 - q*h - 60\/11*h**2.\nAnswer: 6*h*(h - 4)*(3*h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*v**5 - 30*v**5 - 41*v - 28*v**5 - 2 - 26*v**2 - 24*v**5 - 23*v wrt v.\nAnswer: 40*v**3 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 - -72. Let w(y) = 6*y**3 - y. Let u be w(-1). Put u, 0, r in decreasing order.\nAnswer: 0, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -6 + 12 + 6 + -8 + -5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/30*(-48)\/180?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*l - 34960 = 105*l. What are the prime factors of l?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -43*r - 93. Suppose 0 = -m + 5*m + 20. What is the remainder when a(m) is divided by 35?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**2 + 20*l + 105 = 0. What is l?\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-90)\/(-4) + (-22)\/(-11). Let -54*j + 84*j**2 + 8 + p*j**3 = 0. What is j?\nAnswer: -4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3\/3 + 38*j**2 + 532*j\/3 + 208 = 0.\nAnswer: -52, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 - 977*j - 48 - 33 + 757*j.\nAnswer: -220*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(9\/7))\/u)**(2\/65))**(-5\/4) assuming u is positive.\nAnswer: u**(-9\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4974859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 3. Let j be i(0). Let t(z) = z**2 + 2*z**3 - z**j + 10 - 4. What is the units digit of t(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/63, 28, 12?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2609 = 5*n, -4*b - 5*n = -4*n - 5251. Calculate the greatest common factor of 205 and b.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1445 times 3?\nAnswer: -4335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 2*u**2 + 6*u + 2. Suppose 0 = x + 2, -p + 1 - 2 = 3*x. Suppose -s = -p*s - 8. Let l be k(s). Solve 4*h + 5*y = -14, -5*h + 3 - l = -y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**5\/4 - 95*t**4\/3 + 1805*t**3\/6 - 1065*t**2 + 22*t + 15. Factor l(z).\nAnswer: 5*(z - 71)*(z - 3)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -161 + 163. Let l(a) = 146 - 75 - 70 + 2*a + 10*a**y. Determine l(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5720 and 5925140?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*v + 15536 = -697*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = b - 0. Let s be 50\/48 + b\/((-24)\/(-9)). Let t = 28 - 24. What is the closest to 0 in -0.3, s, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 20*l + 1 + 6 + 0 - 8. Let d be t(2). Suppose -4 + 0 = -2*g - 4*i, 0 = -3*g + 5*i + d. Calculate the highest common factor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 580021*-6*(-17)\/1326 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4681, 1\/10, 6 in ascending order.\nAnswer: 1\/10, 6, 4681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/35 (b) -4763 (c) -4 (d) -3 (e) 2\/7 (f) 3 (g) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211111 - -200022?\nAnswer: 10111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0758 - 72.0758. Let h = -11066746670.00000019 - -11066746742. Let p = z + h. What is p rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 205 + 397 = -2*o + 217, 4*s = 20 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5587 and 1677.\nAnswer: 9369399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2*((2 - 2) + -170). Suppose j = 6*s - 761. Is s a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75234.0007 + 74568.001398. Let d = u + 666. What is d rounded to 5 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 21*v**2 + 14*v - 113. Let a be f(12). Suppose 3*s - a - 1190 = 0. Is 52 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 13 = -2*k - 5, 0 = l - 2. Let m = 0.3 + -0.4. Let x = -586\/9 + 65. Put x, m, k in increasing order.\nAnswer: x, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3336303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + t**2 + 2. Let z be n(0). Let q be 39\/9 - (-1 + 7)\/z. Let h = -47 - -518\/11. Sort h, q, 1\/3 in descending order.\nAnswer: q, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i = 318 - 337 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/16 and ((-5031)\/11830)\/(-1) - (-2 + 11\/5).\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-7 + 15) - -6 - -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-20)*(-2)\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6232 and 304.\nAnswer: 12464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-2)*(-50)\/15. Suppose 5*i + 5 = 5*f, 0*f = 2*f + i - a. Let p be ((-12)\/6)\/((-2)\/f). Solve 0 = -p*g + 7*g + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.05 - -8.35. What is the nearest to -1 in 1\/2, 0, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 - 2*a. Give j(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 71*c - 51. What is d(37)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4143 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 739765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 11:48 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/32 and 101\/178.\nAnswer: 2848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6453 - 6446. Calculate the remainder when 6185 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) 1 (c) -1389\/13 (d) 4\/9 (e) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/2*(-39)\/(3276\/(-48)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/15732 and 109\/10488?\nAnswer: 31464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkpukukkpuuppqp. Give prob of sequence udk.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 29*h + 12. Let z be -1 + -28 + 2*(5 + -6). Let f be c(z). Sort -2, f, -5 in decreasing order.\nAnswer: -2, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, t: 1, h: 4}. Give prob of sequence thh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 12, p: 1, s: 7}. Give prob of sequence pnn.\nAnswer: 11\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 43 - 6*d**2 + 109*d + 2*d**2 - 109*d - 40. Let n(p) = -2*p - 3*p**2 - 4*p + 6*p. Calculate n(m(l)).\nAnswer: -48*l**4 + 72*l**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-34) - (-3273)\/68. Let f be (872\/120)\/(4\/(-27)). Let z = h + f. Which is the closest to 0? (a) z (b) 1\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1673 and -63?\nAnswer: 105399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 2:53 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 + 32*q\/9 - 8.\nAnswer: 2*(q - 2)*(q + 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 105 = 4*n, -5*j - 91 = -n - 59 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, d: 13}. What is prob of picking 3 t?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (130\/(-6))\/((-344)\/(-348) + -1). Let m = g - 1883. Factor -98\/9 - 28\/9*d - 2\/9*d**m.\nAnswer: -2*(d + 7)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4356.43255 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -4\/105*a**7 - 5*a**2 + 0 + 1\/6*a**3 + 0*a**4 + 0*a**6 + 0*a**5 + 0*a. Differentiate s(n) wrt n.\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 7 = 2*v + 13, 21*v = 4*b + 97 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 2, 1 in increasing order.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.14 - 1.46. Suppose 0 = -u - 5*i + 15, 6 = -u + 6*i - 4*i. Does a = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4))**(-1\/2)*(d*d\/(d*d**(-4)))**3 assuming d is positive.\nAnswer: d**(121\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -23*h - 41. Let i be j(25). Let l = 1202 + i. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z + 11471 = 50756. What are the prime factors of z?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 11:30 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -218*o - 4360. Let j be h(-20). Let r(i) = i**2 + 9*i + 4. What is r(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8168, -16361, -24582, -32837, -41132, -49473?\n\"Answer: -f**3 - 8*f**2 - 8162*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 168626407 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 136, 127, 118?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4) + 1\/(-2). Let x = g - -2. Suppose -x*a - 5*o - 16 = a, 2*o = 2*a - 16. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111101011111 (base 2) in base 11?\nAnswer: -25637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3 = 4*t, -5*t + l + 1 = -0*t. Suppose 24 = -4*f + 2*f. Let s be 8\/f - 8\/(-21). Is t equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 148822 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2860, 2911, 2948, 2971, 2980, 2975, 2956?\nAnswer: 2923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 88 = -5*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(5\/14) + 2246. Calculate the highest common factor of g and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101001100000001101100100 (base 2) to base 12\nAnswer: 3788258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -5, 3, 107\/12, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31 - (3 - -4) - (108 - -16)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3 + 1 + 0*g**2 - g**2 - 18*g. Is j(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 3*y. Suppose 4*i + p = 74, -7*i + 5*i + 3*p = -44. Let c be -4 - (0*(1 - 0) - i). Solve y*w = -3*w + c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7220100 rounded to the nearest ten thousand?\nAnswer: -7220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1549, -1425, -1303, -1183?\nAnswer: -1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(2\/(-3)*-3). Suppose w = -2*y + 2*c - 3*c + 29, 0 = -5*c + 25. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1110, 8, -5, -2.\nAnswer: -1110, -5, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 0 - 3) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*h = 66, 54 = 4*q - 4*h + 2*h. Let t be (1 - 2)\/(1\/(-25)). Suppose f = t + q. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112.04 - -120. Let p = t + 0.04. Let v = p + -8.5. What is the third smallest value in 5\/4, v, 1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, e: 1, q: 1, t: 1, o: 1}. Give prob of sequence ohq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, r: 2, z: 3, t: 2, f: 1, n: 3}. Give prob of picking 2 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5256*f*i**2*n**2*x**3 - f*i**2*n**2 - 2*f*i*n*x**2 + 4*f - 2*i**2*n**2*x + 19*i*n*x**2 wrt x.\nAnswer: 31536*f*i**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -7 + 1 + -8 + 2 + 0 + -75\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3 + 3. Find the third derivative of 5*i**2 - 3*i**2 + i**5 - v*i**5 wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 107?\nAnswer: -4\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s**3 - 30*s**2 + 9*s + 7. Let u(l) = 5*l**3 + 31*l**2 - 8*l - 6. Give 6*a(t) + 7*u(t).\nAnswer: -t**3 + 37*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -290790 + 290799. Let g + 3\/4*a**3 - 9\/4*a**2 - 3*a = 0. Calculate a.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*a**2 + 6*a**2 - 5*a**2)*(4110 + 3183 + 1920) to q*a + t*a**2 + j and give t.\nAnswer: 64491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c - c**5)*(-4 + 5 + 2)*(10 + 14 - 4).\nAnswer: -60*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(18)*-2) - (sqrt(2)*-1*-2 + 3)**2.\nAnswer: -73*sqrt(2)\/6 - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 94337 = 94338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -18. Let d be ((0\/3)\/a)\/(0 + -1). Suppose -3*m = -60 - d. Solve -m = -0*c - 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9, -14, -19, -24, -29?\n\"Answer: -5*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -33986*u**2. Let m(d) = -12*d**2. Calculate h(m(z)).\nAnswer: -4893984*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 56 + -96 + 23?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 33 = -3*i. Calculate the lowest common multiple of i and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 3. Let v be f(4). Which is the second smallest value? (a) 4\/3 (b) v (c) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x - 13*x + 19*x. Suppose 4*k + 2*z + 12 = 0, -2*z + 12 = -5*z. What is h(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 58 + 55 = -i, 1 = -5*i + m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 1 = -s, 5*s - 4*s = -5*v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 13, i: 2, m: 3}. What is prob of sequence ma?\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-17)\/2 + 2)\/(-2) and 1\/3 + (1216\/(-336) - 5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103 - -9. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-47125)*-29*20\/(-6).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by 3.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3848*d*k*w - 625*d - 33*w wrt k?\nAnswer: -3848*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**15*(l**(-1)*l)\/l)**(-1\/44) assuming l is positive.\nAnswer: l**(15\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(-6*h**3 + 24 - 24 + 2*h**2 - 2*h**3 - 2*h**2 + (-6*h - 6*h + 5*h)*(-4*h**2 + h**2 + 0*h**2)) + (4 + 2*h - 4)*(-7*h**2 + 3*h**2 + 2*h**2).\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0 - 2 - (0 + -12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/65))**(2\/9)\/((a*a*a\/(a*a*((a\/a**(5\/7))\/a)\/a*a*a))\/a*a**(2\/31)*a*a*a) assuming a is positive.\nAnswer: a**(-353623\/126945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/1*(-1 + 2)\/2. Suppose 576 = 22*c - f*c. Calculate the remainder when 68 is divided by c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:39 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1845*f - 2. Let o(m) = -10864*m. Determine o(d(w)).\nAnswer: -20044080*w + 21728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 38. What is the nearest to -3 in t, -3\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 5*u + 1. Let h(v) = -2*v**2 + 6*v - 2. Calculate -3*c(y) - 2*h(y).\nAnswer: y**2 + 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - 9\/(9\/(-283)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(1 + 0\/(-3)). Suppose 0*o + 4*f + 23 = u*o, -o + 1 = f. Suppose -4*j = -o*j. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.754 - -10.6. Let s = -8.546 + d. Let k = s + 9. Which is bigger: k or -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 352 - -331. Calculate the remainder when p is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2 (b) 0.3 (c) -9 (d) 223\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 12:09 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 30786765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - i = -953 + 1044, -4*s = -17*i - 8 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrl when three letters picked without replacement from lrlllr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.8929 - 0.1071. Sort -3, h, -7 in descending order.\nAnswer: -3, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 3962038?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 0)\/((-14)\/21). Let r be (-4)\/t + (-4)\/(-6). Suppose 4*u = -3*b - 2320003, 0*b = r*b + 2. Round u to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 + 10. Let m be (-6)\/(-21) - 52\/x. Which is the nearest to 1? (a) -0.1 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-21))\/(2\/4). Let o = 7.83 - 7.3. Let b = 0.13 - o. Which is smaller: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4719*q**2 - 37489*q + 9. Give v(-8).\nAnswer: -2095","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Solve -141*g + 148 = -54*g + 1888 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*n - 40 = -51, 0 = v + 3*n + 1. Suppose v*z + 3*x - 45 = 0, 5*z - 3*x = 63 + 39. What is the lowest common multiple of 70 and z?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -21 (b) 1\/2 (c) -2\/1063\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p. Suppose -6*h - 9 = -3*h. Suppose -z + 1 = 3*k, 0*k - 4*z + 19 = -3*k. Let u = 1 - k. Let t(c) = -5*c + 1. Determine h*a(d) + u*t(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**3 - 6*o**2 + 5*o + 14. Let t(c) be the first derivative of -3*c**4\/4 - 4*c**3\/3 + 3*c**2\/2 + 9*c - 1. Let z(i) = -5*l(i) + 8*t(i). Factor z(v).\nAnswer: (v - 2)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven halves of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86921 + -57922. Calculate the greatest common factor of j and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321715778 equal to 321715779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*y + 32. Solve y*q - 4*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1992 divide 5117867424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 16 = 0, -z - 4 + 52 = -3*y. Calculate the highest common factor of 24 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 149 (b) 3\/7 (c) 1.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbs when three letters picked without replacement from sbbbfsx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, q: 5, o: 3, z: 1, v: 1, n: 1}. Give prob of picking 1 z, 1 q, and 1 o.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*n**2 + 6*n**2 + 7*n**2 + (5 - 5 - 2*n**2)*(-1 + 0 - 4).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 - 3*a**2 + 2*a**2 + (1 - 1 + 1)*(13*a - 13*a**2 + 5*a**2 - 12*a).\nAnswer: -9*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 + 2*y**3 - 3*y**3)*(33 + 8 - 16) + 4*y**3 - 6*y**3 + 4*y**3 + (1 - 2*y - 1)*(2*y**2 - 5*y**2 + y**2) + 3*y**3 - 2*y**3 - 3*y**3.\nAnswer: 54*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**4 + 3*s**3 + 45*s**2 + 69*s + 30 = 0?\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)*r)**(-2\/55) assuming r is positive.\nAnswer: r**(-2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 1941*n - 17 = -1946*n, 5*t = 3*n - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 - 0.3. Let l be (-12)\/(-8)*(1 + 2)\/6. What is the biggest value in 4, f, -1, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -1501*m + 8888. Calculate c(6).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from {z: 1, m: 2, t: 1, a: 3, i: 7, x: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d - 4. Let m(x) = x**3 + 9*x - 17. Let u(r) = 18*c(r) - 4*m(r). Differentiate u(n) with respect to n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, 3, -3, 23\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 4*s**2 + 8*s - 21. Let q be y(-6). Suppose 0 = -2*p - q*n + 31, 2*p - 2*n - n = 1. Which is the nearest to p? (a) -1\/2 (b) -0.4 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1878 + -22?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4248 and 3186.\nAnswer: 12744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.923719 litres in millilitres?\nAnswer: 923.719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*r + 1222 - 3807 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 81. Does n = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**2 + 77831 - 77891 + 52*w**2 to the form l + k*w**2 + i*w and give k.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-14)\/12*(26 + -5) + -2 - -4\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 11*k + 27. Suppose -4*c = -19*c - 60. Let x be t(c). Let n(w) = 4*w**3 - w. Determine n(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 8*u + 16*u)*(-5 + 2 + 2).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3*b + 8 = 0. Suppose -7 = 3*s + 5*w, -b*s - 5*w - 3 = -2*w. Suppose -2*i + 5*d = 3*d, -3*i = 3*d - s. Let g(f) = -4*f + 1. Give g(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 45449591672 - 45449591672.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 357192, -340, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**4\/3 + 2*k - 7. Factor b(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1731131, 3462278, 5193425, 6924572?\nAnswer: 8655719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60521 divided by 60521.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1555.4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p\/(((p*p**(1\/4))\/p)\/p))**(-1\/5)\/((p*p\/(p**0\/p)*p)**(-14))**(3\/34) assuming p is positive.\nAnswer: p**(1493\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/(((-17)\/((-2295)\/(-108)))\/(2\/5)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -17. Suppose 0 = -g - g + q. What is the smallest common multiple of g and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -303838 not equal to -303772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-r**2 - 3*r**2 + 2*r**2) + (-3 - 3 + 2*r + 4)*(2*r + 2*r - 3*r).\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1579, 1571, 1557, 1537?\nAnswer: 1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {j: 1, c: 3, e: 3, i: 1, q: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:07 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 2)*(3*s - 6*s + 4*s) + (3 + 0 - 2)*(-11*s + s - 6*s) to the form v + z*s and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 3*c + c)*(c + c - c)*(-1 + 4 + 4)*(72*c - 28*c - 46*c - 207).\nAnswer: 28*c**3 + 2898*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3028720 and 13600?\nAnswer: 30287200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4811 + -4576.3. Let y = h + -226. What is y rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/10)\/((-12)\/720). Let x = g + -28. Let o be (-3)\/(-2 - x - 1). Sort o, -6, 3 in increasing order.\nAnswer: -6, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(25) + (sqrt(25) - sqrt(100)\/sqrt(4)))*-6)\/(sqrt(125) + sqrt(125)*2) + (-2*sqrt(3600))\/(sqrt(720)*1).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**5\/20 - 7*t**4\/12 - t**3\/3 + 8*t**2 - 16*t. What is the tens digit of x(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -297.09 and -303.35?\nAnswer: 90122.2515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 78*h**2 + 2 - 42*h**2 to the form a*h**2 + r + o*h and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w - 4. Suppose 5*v - 9 + 24 = 0. Let u be t(v). Suppose r + u = 2*r. Solve 4*b - 17 + r = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2, 132920, 1, 0.303?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880)*-2)\/((sqrt(400) + 2*sqrt(400) + sqrt(400) - sqrt(400)) + sqrt(4)).\nAnswer: -24*sqrt(5)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**3\/3 - 4*v**2 - 30*v - 72. Let s be w(11). Solve -s*r = -7*r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 2127990*k**3 + 1509445018704*k**2 - 356895695951303642*k - 1070700672916535073.\nAnswer: (k - 709331)**3*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 115586160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-30 + 30 + 12*r**2) - 5*r**2 + 4*r**2 - 8*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 207, 376, 545, 684, 763, 752?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -20*t - 3. Let z be 244\/16 - 2\/8. Let k be 9\/z - (-28)\/(-5). Let c be i(k). What is c rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -6 (c) 41 (d) 2\/7 (e) 0.19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*f - 691 = 2*f, -2*f + 262 = 2*c. Suppose -3*a - c = -12*a. What is the hundreds digit of (-892)\/(-6) - 1 - 10\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6023*t**3 + 2584*t**2.\nAnswer: 36138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 7*a**4\/12 + a**3\/6 - 2*a. Let p be -3*4\/(-12)*-6. Let h be (7\/21)\/(2\/p). What is i(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1146 - 799. Let j = s + -345. Solve j = -2*n + 2*f, f - 2*f - 4 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + 8252?\nAnswer: 8240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/4)\/(-2)*-1. Let g be (n - 1)\/((-14)\/42). Is (998\/(-8))\/(g\/(-12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 10768 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38531*13.\nAnswer: 500903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25760934 - 601913?\nAnswer: -601913.25760934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 39339*v - 39288*v. Let w(i) be the second derivative of -38*i + 0 + 5\/2*i**4 + 11\/3*i**3 + 0*i**v. What is the second derivative of w(l) wrt l?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/48*-1*((-75)\/42)\/(-25)*-18?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(0 - -5) - 30032\/(-10). What is the remainder when 47 is divided by (-1)\/(-4) + (j\/28)\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(13) + -2 + sqrt(208) + sqrt(13))**2.\nAnswer: -24*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 2*i + 0*i - 45 - 15*i. Is 18 a factor of u(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 10, 2*u - 5 = 4*a - 3. Find the third derivative of -3*b**2 - b**2 + 6*b**a - 6*b**3 wrt b.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -1) + 7\/28*28. Let w(a) = 8*a**2 - 2*a - 1. Let z be w(-1). What is the greatest common factor of s and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 14133, -5, -21 in ascending order.\nAnswer: -21, -5, -1, 4, 14133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7928206*w**4 + 8354086 wrt w?\nAnswer: 31712824*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1258 and 139\/102.\nAnswer: 3774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 1. Let z(q) = -42*q**2 + 4. Let s(k) = -3*o(k) + z(k). Let a(l) = 4*l - 682355 + 682355. Give a(s(x)).\nAnswer: -156*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.059 (b) 3 (c) 0.6 (d) 0.76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g - 7. Let d(l) = 17*l - 21. What is 4*d(s) - 11*h(s)?\nAnswer: 2*s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5007 + -5005. What is the nearest to -4\/17 in 5\/3, 0, -1\/4, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -9*h**2 + 5*h**2 + h**2 + 1212*h - 1139*h. Let s(n) = n - 2. What is s(f(o))?\nAnswer: -3*o**2 + 73*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -14 - (0 - -1) - (36282 + -36218)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -922\/1897 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -28 - (-131 + 116)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuueauuaueeeueu. What is prob of picking 1 a, 1 u, and 1 e?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 5. Let a = 0 + l. Is 1 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/8*(81\/(-3) + -1). Let x(t) = -5*t + 1. Let h(q) = 4*q - 1. Let d(c) = -6*h(c) - 5*x(c). Let w(y) = -8*y - 7. Give i*d(b) + 2*w(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -1. Let y be 3\/(-15) + 14\/20. Is y > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-10) - 2\/5. Let l = 5 - k. Calculate the lowest common multiple of l and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112 by -9.\nAnswer: 112\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/15 and 2 + (-126)\/33 - (-8)\/24.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*v + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/5862 and -61\/1878?\nAnswer: 1834806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**4 - g**2 - 1. Let h(i) = 3*i**4 - 10*i**2 - 5. Let u(l) = -15*b(l) + 3*h(l). What is the third derivative of u(f) wrt f?\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1917839192 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4035137743.\nAnswer: 7, 13, 599, 74027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(128))**2.\nAnswer: 16*sqrt(2) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8378?\nAnswer: 2, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -13*c**4\/6 + 2*c**3\/3 - 19*c**2 - 50. Let v(z) be the second derivative of s(z). Differentiate v(b) with respect to b.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfg when three letters picked without replacement from {t: 2, n: 7, g: 3, c: 2, f: 4}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + y - 1. Suppose 4*k + 7*j - 5*j + 4 = 0, 5*j + 10 = -2*k. Determine m(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**2*i**4*k**3 + 2*d**2*i**4 - 3*d**2*i**2*k**2 + 27*d**2*i**2*k - d*i**2*k**3 + 8*d*k**3 wrt i?\nAnswer: 24*d**2*i*k**3 + 48*d**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 56 - 36 = 0. Suppose 0 = j*u - 5*k - 143 + 55, 5*u + 5*k = 155. What is the remainder when 31 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1260 divide 35355600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25673 by -1000.\nAnswer: 25673\/1000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/8)\/(f\/(f*f**(-1))))**(-13\/4) assuming f is positive.\nAnswer: f**(65\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -13 - 68*k + k - 56*k. Let g be y(-11). Suppose 3*c = g + 1249. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-186)\/14 + (-4)\/(-14). Let n = 70 - 51. Let d = v + n. Let x(g) = -g + 6. Calculate x(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44782, -89575, -134376, -179191, -224026, -268887?\nAnswer: -313780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**2 - 1224952*z = 0. Calculate z.\nAnswer: -306238, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1860 + 661. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1*-29)\/(-3*(-10)\/(-570))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -571 = 12*f + 353. Let k = 5229 - 57474\/11. Calculate the common denominator of k and ((3*2)\/2)\/(f\/(-22)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1780847 divided by -6?\nAnswer: 1780847\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*m**2 + 162*m**2 + 96*m**2)*(1 - 1 + m).\nAnswer: 271*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -655, -649, -641, -631, -619, -605?\n\"Answer: b**2 + 3*b - 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/70)\/((-23)\/(-90) - (-1524)\/34290).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {y: 3, a: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 r, and 1 c when four letters picked without replacement from mmpjpmrrpmcmpnr.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 245*n + 9. Let r(u) = 243*u + 14. What is 2*r(b) - 3*t(b)?\nAnswer: -249*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**27*x**(-1\/17)*x)\/((x**17\/x)\/x*x*x*x*x**(-3\/10)*x*x) assuming x is positive.\nAnswer: x**(1571\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 898 - -362. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**4\/5 + 15262*s**3 - 24*s**2\/5 - 915752*s\/5 - 244192 = 0.\nAnswer: -38155, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*k = -4*k + 18, -h - 5*k + 6 = 0. Let q be (h\/(-60))\/(1\/(-3)). What is the third smallest value in 0.4, q, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*d + 3. Let q(y) = -31*y - 584. Let n = -787 + 768. Let l be q(n). Solve -3*c - d*x = 0, l*x = 5*c - 7 - 33 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105491\/10 + 10549. What is the biggest value in u, 1\/10, 0.06?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(((-18)\/(-32))\/(-3)). Suppose -1 + t = 3*h. Let r(a) = -a + 8. Let f be r(h). Solve 2*i + 5 + 5 = -4*k, 0 = -f*k - 3*i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -11\/2*z**4 - 1\/4*z**5 - 49\/4*z - 112*z**2 + 343\/2 - 83\/2*z**3 = 0?\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**8\/14 - 31*g**4\/24 - 11*g**2. Find the second derivative of p(w) wrt w.\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/25*-2*15*(-21)\/63.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 16*o - 855 = 0. Let q = -79 + o. Suppose -r = -3*b + q, -5*b + 0*r + 157 = 2*r. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.291 + 6.691. Is d bigger than -4\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141*g + 122*g + 107*g to the form t + z*g and give z.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 - 3*j**2 + 3*j**2 - 5 - j**3 + 5 + (2*j**2 - j**2 + j**2)*(-2*j - 3*j + 4*j) - j**3 + j**3 + 2*j**3 + (2 - 4 + 1)*(-27412 + 27412 + 378*j**3).\nAnswer: -377*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/(-38)*28\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20603276 by 5.\nAnswer: 20603276\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/570 and 101\/192.\nAnswer: 18240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125332144 = 180*i - 176*i. Let j = i - 84533036. Round j to the nearest one million.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 194781 = -5*t, -2*t + 8*u - 4*u = -77922. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/4 or -2025?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-588 + 1476 - 9)*(c**3 - 2*c**3 + 3*c**3 - 1).\nAnswer: 1758*c**3 - 879","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2228*i - 79188 = 697*i + 89222 for i.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(21)\/sqrt(3))*5)\/(-6*((sqrt(384) - (sqrt(384) + sqrt(384)*-1 - sqrt(384) - sqrt(384)) - sqrt(6)) + sqrt(6))) + -2.\nAnswer: -2 - 5*sqrt(2)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7198 + 677815.27\nAnswer: 670617.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 103 + -106 - (-2 - 11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -33. What is the lowest common multiple of 22 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 7*l + 60. Let s = -2 + l. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(242)*1 + sqrt(242))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/723 + 476\/2169. Let i = 0.1 - 0.5. Let u = 0.1 + i. Which is the third smallest value? (a) h (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 15401?\nAnswer: -15400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j**2 + 2*j - 1. Let n be m(1). Let k = -6 + n. Suppose -k + 40 = 4*l. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63.0992 + -63. Let v = 0.0659 - u. Let a = v + 0.03. Round a to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12405 by 25223.\nAnswer: -12405\/25223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**7\/840 + u**6\/18 - 2*u**3\/3 - 11. Let r(n) be the third derivative of y(n). Find the third derivative of r(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 18*92\/270?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -32. Let s be 82\/8 - r\/36. Let y(t) = -t**3 + 5*t**2 - 2*t + 3. Let m be y(3). What is the greatest common divisor of m and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 9:39 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/1113 and 17\/3339.\nAnswer: 3339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/435)\/(1*9\/(-3))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 59263.\nAnswer: -1\/59263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267 - 1058*j - 2584*j + 267 - 945*j.\nAnswer: -4587*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 12 - 3 + i**2.\nAnswer: i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l + 4*k - 11 = 0, -4*l + 4*k = -24. Suppose -2*f + l = 1. Let h(b) = 32*b**2 - 2*b + 3. Is h(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 225 - 44*k - 32*k - 243. Let g be l(-3). Calculate the greatest common divisor of 42 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130.27 - 135.27. Which is the smallest value? (a) j (b) -2 (c) -2.854\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.42*50059\nAnswer: -21024.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-1 + -2 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-595*l**2 + 5889 - 5889)*((-2 + 0 + 4)*(l - 1 + 1) + 2*l - 2*l - l - 2*l - 3*l + 3*l).\nAnswer: 595*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-34)\/(-6) - (-27)\/81).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 217\nAnswer: -10\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-2\/15))**(-46)\/((((i\/(i\/(i\/((i**(1\/4)\/i)\/i))))\/i)\/i)\/(i**(-3)\/i)))**(-2\/31))**(-4\/5) assuming i is positive.\nAnswer: i**(-6826\/2325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 7*c + 830, -8*c = 39*j - 43*j + 952 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 9*h = -5*h + 128, 0 = -z + 2*h - 35. Sort -6, z, -2 in descending order.\nAnswer: -2, -6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -3*s - 92 - 17, 3*s + 6*b + 5*b - 211 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -705 divided by 31036\nAnswer: -705\/31036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -23131 (base 7) to base 12\nAnswer: -34ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.7 - 1676.14447444.\nAnswer: -1679.84447444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8 + 4*7\/(-56)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = -52*l + 77*l. What is the remainder when 52 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*g - 14 = 0, -3*g = -3*r - 4*g + 14. Solve 0*w + 23 = -p - 5*w, -5*w - 33 = -r*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100010 (base 3) to base 14\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/16 and -157\/69636.\nAnswer: 278544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k**5 - 462980*k**4 - 2679149465*k**3 + 2680422760*k**2 + 4689553375*k + 1339806250 = 0. Calculate k.\nAnswer: -11575, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 2 + 2*p**3 + 25 + 1 to b*p**3 + m*p + g*p**2 + c and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 402798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**7\/315 - d**6\/45 + d**5\/25 + 67*d - 3. Suppose g(u) = 0. What is u?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-394.\nAnswer: 157.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 0*d + 6 - 3*d + 0*d. Let u(m) = 3*m - 5. Let p(x) = -5*q(x) - 6*u(x). Let g be p(-1). Solve 0 = -g*b + 7*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 5*s**8\/168 + 3*s**7\/14 + 13*s**6\/24 + 5*s**5\/12 - 5*s**4\/8 - 5*s**3\/3 - 11*s**2. Factor t(n).\nAnswer: 5*(n + 1)**3*(n + 2)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*q - 6*q - 10. Suppose -5*i - 26 = -3*a, q*a - 4 = 3*i + 12. Solve 6*x = a*x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224)*-2)\/sqrt(8))\/((sqrt(40) + 2*sqrt(40))\/sqrt(10)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g + 82. What is w(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/4, 0.2, -7\/17, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -124 - -37ae?\nAnswer: 368a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1344, 51 in decreasing order.\nAnswer: 1344, 51, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 - 6.001782.\nAnswer: -5.861782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, -0.5, -0.02?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95444208.\nAnswer: 2, 3, 487, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -4*s - t - 14, -17 = -3*s + 4*t. Suppose 5*n - 7 = 5*m - m, -5*m = s*n - 19. Solve n*i + 20 + 1 = 3*v, v - 9 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*x + 22, 3*x + 59 = -5*f + 141. Let z(y) = -y**3 - 3*y**2 - 4*y - 2. Calculate the remainder when z(-4) is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 68*m**2 + 1075*m + 11. Calculate x(25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*k**3*r**3 + 4*k**3*r**2 - 5*k**2*r**3 + 454*k*r**3 - 781*k*r + 10*k - r**2 wrt r.\nAnswer: 42*k**3 - 30*k**2 + 2724*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2*o + 4173 = 4199, 3*h - 34 = -2*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -3 (c) 0.3 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0232228982 to 5 dps.\nAnswer: 0.02322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 2*h**2 - 6*h + 12. Let v be a(-7). Factor -301*c - 2*c**2 + v*c + 0*c**2.\nAnswer: -2*c*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1486 + -1442. Solve -36*l + 48 = -h*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -1 + sqrt(19) + -3 - (sqrt(19) + 1*(sqrt(38)\/sqrt(2) - sqrt(19))))**2.\nAnswer: -8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/16728 and 29\/11152.\nAnswer: 33456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.4768441 and 0.03?\nAnswer: -0.314305323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -149 - -106. Let t = -38 - r. Which is the third smallest value? (a) 0.4 (b) t (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -16\/7 (b) 57 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-56)\/(-24) + (-56)\/(-84). What is the third smallest value in -5, -4\/5, u, 21?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 6*k**2 - k - 4. Let i be o(-6). Let d = i - -4. Suppose 4*u - 2*u - d = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(264)\/(sqrt(132)\/sqrt(3)))\/(sqrt(96)\/(1*sqrt(12)*3 - sqrt(12)))*-5)**2.\nAnswer: 30*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917313 is divided by 3111?\nAnswer: 2679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 11\/3?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 3*l - 5. Let w(c) be the third derivative of 0 + 0*c + 75*c**2 + 1\/12*c**4 + 1\/60*c**5 + 1\/2*c**3. Calculate -5*q(z) - 8*w(z).\nAnswer: -3*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**9\/90720 - h**5\/60 + h**2. Let o(g) be the third derivative of t(g). What is l in o(l) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - t + 10*t**5 + (-2*t + 0*t**2 + 0*t**2 - 2*t**2)*(2*t**2 - t**3 - 2*t**2).\nAnswer: 12*t**5 + 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - sqrt(528)\/(sqrt(99) + sqrt(11)) - sqrt(48))\/(-3*(sqrt(96) - -2*sqrt(96) - sqrt(96) - sqrt(96)) - sqrt(96) - sqrt(96)).\nAnswer: sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h + 30 = 5*a, a = 4*h + 3. Let n(v) = -13*v + 9. Let f(q) = -27*q + 366. Let d(p) = -2*p + 40. Let w(l) = -9*d(l) + f(l). Give a*w(s) - 5*n(s).\nAnswer: 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3304 + 0?\nAnswer: -3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*h - 9, 27*h = 30*h - w + 15. Sort -13, 7, h in decreasing order.\nAnswer: 7, h, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -363 + 504. Let m = r - 85. What is the remainder when 221 is divided by m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -27.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 3 - 1 + 2 + 0*u + u**3 - 10*u**3 + 4*u**2 to the form v*u + r*u**2 + g + o*u**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1838 - -3298. Calculate the greatest common factor of 80 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/35703 and 41\/7803089.\nAnswer: 70227801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2)*(3 - 35\/(-21)). Suppose 6*i + i = -g. Which is bigger: i or -5\/29?\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*z - 26735319 + 26734721 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3410 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -14. Let x = a - -20. Let l(i) = 7*i - 2. Calculate the remainder when l(3) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, k: 15}. Give prob of picking 2 u.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + -7 + 0 + 14. Let w(r) = -r**3 - r**2 - r. Let k(x) = 14*x**3 + 6*x**2 + 6*x. Calculate f*k(c) + 6*w(c).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -15. Suppose x = v + l, 0*v + l = -5*v + 10. Calculate the remainder when -3 + v + (-19)\/(-1) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 + 2*v**4 - v**2 - v**3 - 3*v + 2*v - v**3 to the form f*v + g*v**4 + u*v**3 + z*v**2 + y and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5108996.0947 + 5105133. Let o = 3862 + l. Let i = o + 1.1. What is i rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 38 - 17 + i**3 + 55.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -17*z**2 + 404*z - 1106. What is h(21)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l + 2994 = 25*l. Suppose 0 = b - l - 249. Let x = b - -2044. Round x to the nearest 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3 - 5. Let g = 0 + 2. Suppose 7 - g = d. Which is the biggest value? (a) -6 (b) d (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79197893 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 750 and 614895.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10032012200423 - -4?\nAnswer: 10032012200432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5439, -5437, -5435, -5433, -5431, -5429?\n\"Answer: 2*p - 5441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14371 + -11866. What is the least common multiple of y and 18?\nAnswer: 15030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 4:30 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28841 is divided by 551.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 62 = -4*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + 7*c**3 - 3*c**2 - 7*c**2 + 8*c**2 to s*c + a + q*c**2 + j*c**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.0172240581+2487\nAnswer: 2487.0172240581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 7*l**2 - 7*l - 3. Determine r(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -135, -435, -943, -1665, -2607, -3775, -5175, -6813?\n\"Answer: -m**3 - 98*m**2 + m - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -37 + (9 - -10) + 24.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -52, -68, -68, -46, 4, 88, 212?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1079, -8532, -28733, -68054, -132867, -229544, -364457, -543978?\nAnswer: -774479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (33\/(-15) + 1)*-15. Suppose -4*k = -0*k + 20, 0 = 3*w + 3*k + l. Which is bigger: 1\/22 or w?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169774.\nAnswer: 2, 11, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 9 = -27. Let w = -7 - 0. Let o = u + w. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48761, -97521, -146281, -195041?\nAnswer: -243801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/3)\/(4\/96). Let r be 4\/p - 81\/6. Let l = r + 13. Solve l*o = -5*o + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 94.77.\nAnswer: 189.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.558+628.243\nAnswer: 627.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6138 divided by -1.\nAnswer: 6138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -158 - (-3 - 4\/(-1)). Let r = -66 - v. Let t = -55 + r. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7224*u**2 - 11415?\nAnswer: 14448*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ce5 (base 16) in base 11?\nAnswer: 2531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p. Suppose -o - 224 = -5*w + o, p = -4*w + 4*o + 184. Calculate the greatest common divisor of w and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29419 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1361 + 1360.7666. Round p to two dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 6:44 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*l**3 - 10*l**3 + 9*l**4 - 16 - 2 wrt l?\nAnswer: 36*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 6:36 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11493394 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**2 + 60*z**3 + 401*z**3 + 304*z**3 + 7*z**2.\nAnswer: 765*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + b**2 + 2)*(-2 + 2 + b**2) + (2*b - 2*b - 2*b)*(-51*b + 51*b + 26*b**2)*(-1 + 2*b + 1).\nAnswer: -103*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 19*w**2 + 1. Let s be v(1). Suppose -s = -4*c - 0*c, 869 = 4*z + c. Calculate the highest common divisor of 24 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107420\/3 - 37018. Which is bigger: -1211 or a?\nAnswer: -1211","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in -0.06, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631104400.\nAnswer: 2, 5, 149, 10589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 49492, 197949, 445378, 791779, 1237152, 1781497?\n\"Answer: 49486*b**2 - b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - -552. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 - 31*a - 83. Determine p(-19).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from {y: 6, p: 13}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t - 2. Let l be g(2). Suppose -l*r - r = -21. Suppose -3*b + r*b = 16. Solve 5*k - b = 3*f, -2*f - 4 - 7 = 5*k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven quarters of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -213 + 236. What is the remainder when 67 is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19530865*b - 5509510 wrt b?\nAnswer: -19530865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70806*n - 70787*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -53.2 (c) 8 (d) -0.494\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -428*d**3 + 13*d**2 - 36. Let f be g(-7). Suppose -2*k + f = 45443. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {q: 2, p: 5, v: 3, f: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 140310567797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 211037 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-170)\/12 + 0 + 4 and 77\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**4\/6 + 55*t**3\/6 - 117*t**2\/2 + 4*t + 23. Let z be i(25). Let a = -2 - -7. Solve 3*n = 4*d + a, 5*n - 6 = d + z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -10.54465?\nAnswer: 42.1786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-3 - -7)*(1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23708*f**2 - 20*f**3 - 47692*f**2 + 23984*f**2 + 13*f**3 - 19*f**3.\nAnswer: -26*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.18488 to 2 decimal places.\nAnswer: 19.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 7, z: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from occvooocvcccoococo. Give prob of sequence vv.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183095*m**3 + 91743*m**3 + 91355*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -53. Let p(j) = 5 - f*j + 5*j**2 - j - 6*j**2. Calculate p(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqqnqqqqqqqq. What is prob of picking 2 n and 1 q?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 6*x - 4*g - 8, 0 = -5*g - 10. Let c(y) be the first derivative of 0*y + 2\/3*y**3 + x*y**2 - 3. Let u(q) = -q**2. Calculate c(u(a)).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -5 (c) -3\/4 (d) 7172898\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 635681113 - 635681073.0000021. Let v = w + -40. What is v rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -1 - (-48)\/12. Suppose -3*u + t*u - 3*z = -11, -5*u = -4*z. Solve u*l + 4 = -4*v, 3*l - 2*v = 12 - 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwuw when four letters picked without replacement from uuuuuuuuuwuwuuwuwuu.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5.1 - 361.1645569\nAnswer: -356.0645569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 - (-11 + 11)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34492480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02 and 94115931.\nAnswer: 94115931.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179\/306 - 1\/34. What is the common denominator of 46 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/7 in 5, -0.06, -43, -3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**9\/t)\/t*t**(-7\/4)*t)\/((t\/(t\/t**2))\/(t*t**(-4\/9)*t*t)) assuming t is positive.\nAnswer: t**(245\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7843274, 15686542, 23529810?\nAnswer: 31373078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4244700 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -4894\nAnswer: -13\/4894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 13*q - 18*q. Let y be (q + 1)\/(4\/24). Suppose y*h - 265 = 359. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -12. Suppose w*k = 5*v - 76988, 3*v - 46212 = -0*v - 3*k. Round v to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(952\/(-969)))\/((-3)\/14*(-238)\/(-136))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, -0.5, -6, 2\/65?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 - 2*x - 4. Let q be f(-2). Suppose -6*o - 4 = -q. Solve -o*m = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*l - 5, 2 = 3*g - 3*l - 13. Suppose g*a - 3 = 12. Solve 2*n = -5*q - 10, 42 - 10 = -a*q + 4*n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11610, -11614, -11618, -11622?\nAnswer: -11626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, x: 3, k: 2, y: 2}. Give prob of sequence keex.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j**2 - 26*j**2 - j**3 - j**3 to g*j + a*j**3 + d*j**2 + b and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r + 1. Let u(m) = -3*m + 1. Let n(d) = -5*c(d) + 7*u(d). Determine n(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1895.68233 to 1 decimal place.\nAnswer: -1895.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-2))\/(1\/(-33)). Suppose -2*s - 186 = -5*g - s, -2*g = 3*s - 88. Let v = g + f. Solve 4*y + 2*p = p - 19, -5*y - v = -5*p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/732 and -95\/6.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/10990 and -61\/217602.\nAnswer: 1088010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 64 (b) 205\/4 (c) 423 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/25, -3, 0, 6\/155?\nAnswer: 6\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011121011 + -221?\nAnswer: -1011122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1682 * 6857.\nAnswer: 11533474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 749 and 26666112?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a - 1\/3*a**2 + 1\/3.\nAnswer: -(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 26. Suppose c = -11*c + 48. What is the greatest common factor of f and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1278259, -1278171, -1278083, -1277995?\nAnswer: -1277907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 277673690 rounded to the nearest 1000000?\nAnswer: 278000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46580688?\nAnswer: 2, 3, 7, 11, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 70071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 801*w + 16402. Give l(20).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 78.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13420, 26839, 40260, 53683, 67108?\nAnswer: 80535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*w + 3*i - 15, 4*i = 3*w - 15. Let z = 8 + w. Let d = -3 + z. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**4 + 3729443*x**2 + 3738*x**3 - 1848020848*x - 11530*x**3 - 9421499*x**2 - 240894245052 + 15897706808 = 0. Calculate x.\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 187088.6016 to the nearest 1000.\nAnswer: 187000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 4:51 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1005889 * -0.1.\nAnswer: -100588.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.3175865 rounded to 1 decimal place?\nAnswer: 193.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1373526*l*q**2 - 2*l*q + 4*l - 24451*q + 8 wrt q.\nAnswer: -2747052*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1584) + sqrt(11) + sqrt(11) + 4 + sqrt(77)\/sqrt(7).\nAnswer: 8 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10111101101011 (base 2) to base 4\nAnswer: 2331223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 165, 2, 2\/9, 1\/9, 1\/6, 5, 18\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/40 + 24\/20?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:21 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 103149588 divided by -6?\nAnswer: -17191598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 + 55*a**2 - 42*a + 1963. Let i be y(28). Let c(z) = -z**2 - 4*z - 5. Let n(k) = -k. Give i*n(l) - c(l).\nAnswer: l**2 + l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a - a + a + a - a - 2*a - 3*a - 3*a + 4*a - 2 + 2 - a + (2*a - 2*a - 2*a)*(1 + 2 - 2) - 4*a + 0*a + 2*a - a + 0*a + 3*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69925085\/957 - -73067. Calculate the common denominator of 47\/231 and h.\nAnswer: 6699","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 2*z + 5. Let x be v(-7). Suppose -5*r + x = 3*y + 2*y, -5*y + 36 = 4*r. Find the second derivative of 12*a**4 + 16*a + r*a - 5*a wrt a.\nAnswer: 144*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -537*g**3 + 32*g**2 - 7. Let w(c) = -269*c**3 + 14*c**2 - 3. Give -3*s(i) + 7*w(i).\nAnswer: -272*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 21346047.\nAnswer: -85384188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1647 + 1627. Let r(v) = 4*v**3 + 10*v + 10. Let q(l) = -3*l - 3 - l**2 + l**2 - l**3. What is s*q(a) - 6*r(a)?\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -776.72 and -0.1.\nAnswer: -776.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 63 = -2*x, 4*x + 0*t - 102 = 2*t. Let w be (-2 + 35\/15)*x. Suppose -k - 4 = -l, 3*k - w + 20 = 0. Which is greater: l or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 3. Let u(f) = -256*f. Determine u(a(k)).\nAnswer: 256*k**2 + 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b = 21 - 85. Let m be ((-108)\/33 - b) + 2. Let s = m + 136\/33. Calculate the common denominator of -29\/3 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 0 - 5\/3*z**3 + 20\/3*z + 20\/3*z**2 - 5\/3*z**4 = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - h**2 - h + 155. Is r(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 - -55. Suppose -t*j + 62 = -3*f, 3*f + 5 = -7. Is 2\/j + (-6328)\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1549 - 2?\nAnswer: -1551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qysmmwwqzqmyyqzymqq. What is prob of picking 1 y and 1 m?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10310547 + -22?\nAnswer: 10310525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -469\/270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -3.5. Let i = 0.04 + 0.06. What is the nearest to i in -2, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 438555 and 7813026?\nAnswer: 6747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 4, 2546, -1 in ascending order.\nAnswer: -1, 3, 4, 5, 2546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20 - 22)\/(0 + -2). What is the closest to s in 2, -0.5, -1.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = v - 101, -2*z + 5*v - 2*v = -212. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -34. Suppose 3*o + 28 = 70. What is the highest common factor of o and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**3 + m**2 - m. Let t = 11 + -10. What is the units digit of x(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 490, 491, 492?\n\"Answer: p + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -53, -44, -51, -80, -137, -228, -359?\n\"Answer: -d**3 - 2*d**2 + 22*d - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*k = -0 - 42, -4*b + 58 = 2*k. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2 = -5*r - 6, j - 4*j + 16 - 45 = -4*r - 27 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*s - 4*f, -2*f = 3*s + f - 12. Suppose y + 8 = -y, 0 = 3*a + s*y - 119. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.05 (b) -0.2 (c) 0.5 (d) 1 (e) 0.283\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*y - 22 + 45 - 23.\nAnswer: 74*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 - 66 + 126 - 60.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6100812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -3) + (5 - 1). Let m(q) be the second derivative of -1\/12*q**y + 0 - 1\/3*q**3 - q - 1\/2*q**2. Calculate m(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3068804 divided by -2831.\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 525*p - 2621. Let h be s(5). Sort -258, h, 1.\nAnswer: -258, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23 and 77841.7.\nAnswer: 1790359.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -2214*v + 2218*v. Calculate the remainder when 273 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -2340.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**2*p**2 + 478*j**2*p - 8*j**2 - j*p**2 + 34*j + 2 wrt p?\nAnswer: -4*j**2*p + 478*j**2 - 2*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1368.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10442228, 10442211, 10442182, 10442135, 10442064, 10441963, 10441826?\nAnswer: 10441647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skcw when four letters picked without replacement from {c: 2, s: 4, w: 1, k: 1, q: 2, n: 2}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q + 1. Let s = -82 + 110. Calculate the remainder when (518\/s)\/((-3)\/(-2) + -1) is divided by x(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8855678776 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 3*d. Let h = 3 - d. Let b(t) = t**2 + 3*t + 3. Let x(u) = -4*u**2 - 16*u - 16. Determine h*x(o) + 16*b(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -3.98498?\nAnswer: 11.95494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -48549, -48492, -48435, -48378?\n\"Answer: 57*r - 48606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5446121 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4816155 to the nearest 1000.\nAnswer: -4816000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 25*z. Let s be v(22). Let m(q) = -6*q**3 + q + 1. Let n be m(-1). Calculate the highest common factor of s and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.4167013 + 11.47169. Let n = i - 0.055. Round n to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a511 (base 11) to base 13.\nAnswer: 47862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 106203912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = 1 - 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 6. Suppose 5*v + 23 = -4*a, 13*v = -3*a + 5*v - 47. Let l(n) = n**2 + n + 14. Let z be l(0). Put a, d, z, -4 in ascending order.\nAnswer: -4, d, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 69*i**2 + i + 1. Let r(c) = -1773*c**2 - 39*c - 39. Calculate 117*l(a) + 3*r(a).\nAnswer: 2754*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 - 2*a**3 - 2*a**3 + (-2*a**3 - 3*a**3 + 3*a**3)*(-2 + 0 + 0) + 0*a - a**3 + 0*a + a**3 + 77*a**2 - 77*a**2.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {p: 10, a: 6, j: 2}.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1227 is divided by 185.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-18)*(-108)\/(-90).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nltnssvnll. Give prob of picking 1 l, 1 t, 1 v, and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3693 - -4675. List the prime factors of y.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -334 - -281\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/26622960 and -37\/115920.\nAnswer: 79868880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2352 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: Is 78433\/3 less than 26145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17497 in 5\/3, 1\/2, 1\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 86*b - 12*b - 994 - 42 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 84, 0.3 in descending order.\nAnswer: 84, 0.3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*n + 17*n + 7*n)*((-3*n - 8*n + 2*n)*(2 + 1 - 4)*(0 - 3 + 4) - n - 6*n + 4*n)*(0*n - n + 0*n).\nAnswer: -228*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-1)\/2*4. Suppose -4*a = 4*w, 3*a - q*w = -3*w + 12. Suppose a*j = -0*j + 2*m + 262, 89 = j - m. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49249*q + 924 = -49291*q for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7\/2)*f**8)**(-50) assuming f is positive.\nAnswer: f**(-225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 1. Let d(l) = -l**3 - 6*l**2 - 5*l - 7. Suppose 0*n - 10 = 2*n. Let f be d(n). Let c be b(f). Solve r - c + 4 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 10:02 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 8 + 5 = 3*y, -f - 4 = 0. What are the prime factors of (0 + -1)*(-54)\/y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 145220556 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 66b31 + 99a?\nAnswer: 676cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4}. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2178 + 0.2478. Which is the third biggest value? (a) -6 (b) 10 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*u + 5. Let b(w) = w**3 - 3*w**2 + 2*w - 4. Let g be b(3). Let p(l) = 3*l**2 + l**2 + 1 - g*l - 3*l**2. Determine p(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s - 19. Let r be c(3). Solve -5*x - 5 = -d - 30, 0 = r*d + x - 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.766 - 0.234. Let r = -74.6 + 75. Which is the nearest to 0.3? (a) -3 (b) r (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 813*k = s + 808*k - 1273, 2624 = 2*s + 3*k. What is the remainder when s is divided by 85?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 9:20 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 + -71 - (-8 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 - 65. Let x = 17040931 - 17040969.999924. Let t = n + x. What is t rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/30? (a) -2\/9 (b) 0.03 (c) -1\/4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 3227752*c**2 - 16138660*c.\nAnswer: -4*c*(c + 5)*(c + 806933)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6439*q = -6507*q + 1768 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/15)\/(126\/1470).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1 = -14, i = 5*c - 20. Let g(a) = 21*a**3 + a**2 - 3*a + 1. Let w be g(1). Suppose -3*f - i*k + 158 = -w, -4*k = -8. Is 28 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 32650624*l + 66628952974336.\nAnswer: 4*(l - 4081328)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 3. Let c(p) be the second derivative of -p**3\/2 - 4*p**2 + 2*p. Give -3*c(v) + 8*n(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2101.9 + -2104.5. Which is the fourth biggest value? (a) h (b) -1 (c) -5 (d) -8 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, j: 1, w: 5, z: 2, t: 1}. Give prob of sequence zzw.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4626*h**2. Let k(s) = -3*s**2. Calculate l(k(r)).\nAnswer: -41634*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-18)*(-99)\/110\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 3*m**2 - 5*m - 15. What is j(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.98 take away 224?\nAnswer: -225.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 8*u**2 + 4*u + 4. Let n be i(-7). Let t = -15 - n. What is t rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162243 is divided by 185.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 8*t - 4. Let n(c) = 7*c - 3. Let m(q) = 2*i(q) - 3*n(q). Let a(u) be the second derivative of 2*u**3\/3 + 16*u. What is -3*a(j) - 2*m(j)?\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + 3*y**2 + 0 + 0.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 3:58 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -337843.19 rounded to the nearest ten thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + q + 5. Suppose -10*z = -7*z + 9. Let i be 0 - (z + 12\/4). Do i and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n + 11. Let d be 35\/14*12\/(-10). Let s be y(d). Find the second derivative of u - 2*u - 7*u**5 + 0*u**s - 4*u wrt u.\nAnswer: -140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/36 + 50\/18. Let h = 2 + p. Let o = -2.92 - 0.08. What is the nearest to -1\/3 in h, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 4. Let x be i(0). Let w(h) = -h**2 - 6*h + 7. Let n be w(x). Calculate the highest common factor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkkkkzzzkzkkkkkkk.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 12*d - 28 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/((-30)\/(-151740)). Suppose -2522*a - 7 = -g*a. Sort -2, -7, -5, a in decreasing order.\nAnswer: a, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -0.09946\nAnswer: 26.90054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 5 = -f, 4*c = -3*f + 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22361448?\nAnswer: 2, 3, 931727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145943 is divided by 4568?\nAnswer: 4335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 13*m**2 + m + 18. Let v be d(-13). Suppose -4*r + v*b + 10 = 0, -2*r + 31 = 3*r + 3*b. Solve -c + 4 = 2*x, -x - 16 = r*c - 3*x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 0*t)*(-1 + 1 - 2*t) + (-3 + 0 + 1)*(5 - 5 + t**2) - 1882485*t**2 + 1860015*t**2 + t - t.\nAnswer: -22470*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, -0.25, -11\/3, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -42 + 122. What is the greatest common divisor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w**5\/2 - 6661*w**4 - 21731*w**3\/2 + 64641*w**2 + 98478*w - 42228 = 0 for w.\nAnswer: -782, -3, -2, 6\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1545 greater than 328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2279 and 59042.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9034376 divided by 9034376\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/317, 0.2, -25300, 0.4?\nAnswer: 2\/317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4839*l**2 - 4*l - 16. Let d(n) = -314537*n**2 + 259*n + 1036. What is 4*d(z) + 259*g(z)?\nAnswer: -4847*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 2. Let y(s) = 121*s**2 + 3*s - 3. Let f be y(1). Let a = f - 117. Let z(j) = -j**2 - 3*j - 3. Give a*z(n) - 6*o(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 3953439?\nAnswer: 3953439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 328 - -844. Suppose -m + 4*c = -293, 10*c = -4*m + 9*c + p. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 643423 - 135423 = 0. Round l to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122221210 + 12?\nAnswer: -122221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, y: 5, s: 2}. What is prob of picking 1 s and 1 i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, f: 10, v: 2}. Give prob of sequence vxf.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.858 and -0.1?\nAnswer: -0.7858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 103441.4 litres?\nAnswer: 103441400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z + 36 = 0. Suppose -b = 3*b - z. What is the tens digit of -7*b\/((-6)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -192 + 48*f**2 - 16\/7*f + 4\/7*f**3 = 0. Calculate f.\nAnswer: -84, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19290 divided by -4?\nAnswer: 9645\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -696 - -3476\/5. Let f = 13 + -18. Sort -2, f, d in ascending order.\nAnswer: f, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y - 28. Let l be c(-17). Suppose -10245 = l*v - v. Is v\/(-21) + (-36)\/63 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*f = 4*t - 344, 5*t + 5*f = 430. What is the remainder when 165 is divided by t?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3009599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1528*u + 47362. Determine w(-31).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2\/8 - 208141743*s\/4 - 416283483\/8 = 0. Calculate s.\nAnswer: -138761161, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3249270897.\nAnswer: 3, 1083090299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -414 (b) 12 (c) 1\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 12*z**2 - z + 16. Let k be a(12). Solve -2*g = -k*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/(-5))*((-2048)\/40)\/(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-44)*(-66 - -10)\/2. Sort -5, -2\/3, v in decreasing order.\nAnswer: -2\/3, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-3\/4))\/(l**(-2\/25)*l*l))\/(l**3)**(-6\/11))**(-4\/3) assuming l is positive.\nAnswer: l**(37\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -299 times 668?\nAnswer: -199732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5867\/84 + 437\/7. Calculate the common denominator of b and 11\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 2*j - 2*f = 2, -2*f = -4*j + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9981887 less than -9981887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-225)*(-4)\/(16\/(-3)). Let y be (-4)\/22 + 4\/(176\/52). Is h at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 13360 - 34168 = 0. Is 51 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*p + 64 = 0, -5*u + 2*p + 148 = 6*p. Suppose 0 = 3*k + h + 14, -5*h - 7 + 5 = -2*k. Sort -5, u, -1, k in descending order.\nAnswer: u, -1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4*s - 18 = 0, 2*o - 30*s - 14 = -28*s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -36662606517 and 0.3?\nAnswer: 36662606517.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44328 - -177311\/4. Let w = -1 - -0.8. Which is the closest to w? (a) 1\/2 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = 0, -5*k + 42 = 2*a - 22. Calculate the least common multiple of 1 and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 575 = -1063. Let i = -111 + q. Are i and 12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -86811, -86733, -86601, -86409, -86151?\n\"Answer: n**3 + 21*n**2 + 8*n - 86841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 11*m + 176. Let g = 12 - 0. What is the least common multiple of g and p(-14)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34974 and 356976.\nAnswer: 10352304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 + 2 - 27*t in the form r*t + n and give r.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -2\/19 (c) -0.3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 222669034 a multiple of 1813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + i = -27, -2*o + 17942*i - 17939*i = -25 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -6*h, 5*h = -b - 128. Let d = 132 + b. Solve -o + d*q = -5*o - 24, -5 = q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 8 - (4 - 7)) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.40644 millennia in years?\nAnswer: 4406.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21736\/(-91))\/22 - 6\/(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22906 and 18?\nAnswer: 206154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 7. Let y(s) = 3*s - 21. Let b(p) = 17*l(p) - 6*y(p). Let u be b(-6). Solve 2*g = v + u, 0 = -5*v - 5*g - 3 - 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 213 = 4*h, 3*c - 3*h - 29 - 97 = 0. Solve 5*q = 5*p - c, -q - 25 = -p - 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 13.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12139 - -6800. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**3 - 120*y**2 - 828*y = 0.\nAnswer: -6, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 14*w - 12. Suppose 0 = -2*n + 2*h - 22, 128*n - 130*n + h - 20 = 0. Determine u(n).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*y - 5, -2*g - 4*y = 312. Let z be (g\/(-20))\/7*-4. Is z greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -12*b - 5*b + b - 19 + 9*b - 9*b. Let w(m) = -17*m - 20. Let r be (-8)\/(-3) - 4\/6. Let h(t) = r*w(t) - 3*k(t). Differentiate h(z) wrt z.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**2 - 5. Let w(r) = -3*r**2 - 4. Suppose y - 4 = -0. Determine y*u(g) - 5*w(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8361 - 8312. Calculate the highest common factor of d and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108\/(-54)*-2*(-5)\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110111000100000100110 (base 2) to base 16\nAnswer: -1b8826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9661.\nAnswer: 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2 = -4. Let t(f) = f**3 + 4*f**2 + 3*f. Let o be t(w). Find the second derivative of 2*y**4 - 2*y - 5*y**o + 5*y**2 wrt y.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 959 is divided by (90\/(-20) + 1)*-46.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 1.8359, -2\/3, 2?\nAnswer: 1.8359","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0*i + 0*i**4 - 18*i**2 + 8\/21*i**7 + 0*i**6 + 1\/3*i**3 + 11\/30*i**5 + 0. What is the third derivative of l(s) wrt s?\nAnswer: 1920*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92534371?\nAnswer: 71, 1019, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 5558.09.\nAnswer: 555.809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 - -2) + -2 - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*z - 33*z - 3 + z**2 + 2 + (2*z + 4*z - 4*z + (-1 + 1 - 2*z)*(-1 - 2 + 5))*(-16*z + 14*z + 28*z).\nAnswer: -51*z**2 + 7*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/55022 - 2696195\/6437574. What is the common denominator of j and 8?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16, 15, 0, -29, -72?\n\"Answer: -7*v**2 + 20*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**8\/56 - n**4\/12 + 3*n**2. What is the second derivative of r(m) wrt m?\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttoy when four letters picked without replacement from poptyt.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(10 - 1 + 1)*(2*d + d - d).\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - 1c?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/136110 and 62\/2535.\nAnswer: 1769430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*h = 3*i - 33, -3*h = -6. Which is the closest to 5\/2? (a) 2 (b) -2\/11 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2, -1045\/17, 1, -0.5 in decreasing order.\nAnswer: 2, 1, -0.4, -0.5, -1045\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15827, 31383, 46939, 62495, 78051, 93607?\n\"Answer: 15556*m + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365797 is divided by 15900.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113249 or 2604693\/23?\nAnswer: 113249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*t + 102203 = 458626. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 9*w + 7. Determine k(7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.129 + -0.071. Let m = 1.94 - -0.06. Which is bigger: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -9. Let m be 2\/(-4) - 21\/(-2). Let o = h + m. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a87aa8 (base 11) to base 15.\nAnswer: -de48ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10905\/13 - 839. What is the closest to -2\/9 in -4, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, -8, -27, -50, -77, -108, -143?\n\"Answer: -2*c**2 - 9*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2*s + 2*l = 0, 6*l - 6*l - l = 18*s + 4*l - 0*l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*s = -60*s - 98 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000001101000100111 (base 2) to base 11.\nAnswer: -173a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nncncncnnncnc. Give prob of sequence cn.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f + 2*f - 3*f + (-2 + 3 - 3)*(1 + 3 - 22)*(4*f - 2*f + f).\nAnswer: 107*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7))**(-2)\/((i\/(i\/i**(1\/9)))\/(i*i\/i**(-3))))**(-30) assuming i is positive.\nAnswer: i**(-1700\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9974 = -2*s, 5*d - 3*s = 7479 + 4983. List the prime factors of d.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.1 in 2, -0.9, 5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - 117*b = -38*b. Let -4\/5 - 6\/5*g + b*g**2 + 2\/5*g**3 = 0. Calculate g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/(-88)*(-28)\/(-70) - 392\/(-22). Are u and 1.81 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/(-88) - 5\/(2 - -18) and (-434)\/48 - 1\/3.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, q: 6}. What is prob of sequence eqeq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, y: 2, c: 11, q: 5}. Give prob of sequence ycm.\nAnswer: 11\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/1 + -3 + 8. Solve i + h + 2 = 0, 4*i + w*h = -13 + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109 - 760\/7. Which is the fourth biggest value? (a) 0 (b) 1 (c) h (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/12 and 99\/872.\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 534 and 712.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 7, 4 in decreasing order.\nAnswer: 7, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1293673297.\nAnswer: 7, 184810471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*4\/14*(-5 - -4). Which is the nearest to 0.1? (a) v (b) 3 (c) 1.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -249 - -247. Which is bigger: -0.0736 or z?\nAnswer: -0.0736","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 1.330965 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*j - 162*j = -130. Factor -1\/5*y**3 - 2\/5 + 3\/5*y + 0*y**j.\nAnswer: -(y - 1)**2*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 1\/60*h**5 - h**2 + 0 + 0*h**3 - 1\/60*h**6 + 0*h**4 + 0*h + 1\/210*h**7. Solve a(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*b - 69*b + 5 + 186*b + (b + b - b)*(0 - 1 + 0) in the form q*b + a and give q.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 586*j**2 - 5. Let r(z) = -9084*z**2 + 78. Calculate -78*f(t) - 5*r(t).\nAnswer: -288*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffff. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 0)*21\/126. Let j = 0.2 + -0.3. Which is the nearest to 1\/2? (a) t (b) j (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - 4*r - 1. Let i(v) = 3*v**2 - 4*v - 1. Let m(q) = 6*d(q) - 5*i(q). Let f(n) = n**2 + n. Determine 4*f(g) + m(g).\nAnswer: g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 62\/6 - 4\/12. Suppose 0 = j - d. Calculate the smallest common multiple of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 3*f + 64 = f, -3152*f - 6 = -3149*f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2501867 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 5*d + 5, 35*v = 40*v + 7*d - 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 3\/2 (c) -8\/25 (d) 5 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16492943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*z**3 + 6*z - 12*z + 2 + z - 1 + 2.\nAnswer: -165*z**3 - 5*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7516 divided by 4.\nAnswer: -1879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1246\/2412219 or 0?\nAnswer: -1246\/2412219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9098, -35568, -79404, -140606, -219174, -315108, -428408?\n\"Answer: -8683*r**2 - 421*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 - y**4 + 5*y**4 + (0*y**2 - 2*y**2 + 3*y**2)*(-3*y**2 + 0*y + 0*y).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 3*h + 18. What is the common denominator of 10\/h*(-6)\/(-4) and 134\/(-16) - (0 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.695342 rounded to three dps?\nAnswer: 3.695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.473684 millilitres?\nAnswer: 0.003473684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 23. Let n be (-1 - 2)\/(a - 12). Suppose -3*l = -n*t - 0*t - 165, -3*t = 9. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502148 is divided by 10396?\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54912 and 221760.\nAnswer: 5765760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.4 - 2.82. Let y = s + -1.01. Let t = 0.497 + y. Round t to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 + -140. Let p = -32 - q. What is the greatest common divisor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-78)\/(-91))\/(12\/(-42)). Let i be 2 - (x - 3)\/((-54)\/12). Let h = -8 + 33. Which is smaller: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2575233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60)\/(-90)*33\/2*(-3 + 4). Let s = 272 - 41. What is the highest common divisor of v and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:05 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11410968 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -10*x + 21. Let f(a) = 3*a - 16. Let l be f(6). Let y(j) = -1. Let s(u) = l*w(u) + 14*y(u). What is the first derivative of s(b) wrt b?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/61 + -2615\/122. Calculate the common denominator of s and (21\/14 - 6)*(64\/30 + -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -5. Let l(g) = -g + 9. Let o(z) = -1. Let m(p) = u*l(p) - 6*o(p). Suppose -2591*x + 2593*x = 12. What is m(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 282 in descending order.\nAnswer: 282, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 59*y**2 + 62*y - 141. Let x be q(60). Let d = 0.1 + -1.1. Which is the second biggest value? (a) 1 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -775, -1550, -2327, -3106?\nAnswer: -3887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*n = -0*n - 56, 5*p + n - 50 = 0. What is the smallest value in p, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -151 - (-172 + 1 + 113).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 8*o**2 - 8*o - 6. Let k be f(8). Let p be (k\/(-4))\/((-3)\/(-204)). What is p rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 * 34.195.\nAnswer: -1094.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i. Let g(h) = 5*h**2 + 3*h - 2. Let t be g(1). Let d(c) = -8*c. What is t*d(r) + 7*x(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -0.19752?\nAnswer: 4.80248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1415*l**2 - 1422*l**2 - 3*l**3 - 2*l + l - 7. Let x be d(-3). Let z = -12 - -19. Calculate the highest common factor of z and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14969699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 2 (c) 13.8 (d) -1934\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n**2 + 32*n + 8. Let t(s) = 57*s**2 - 255*s - 66. Let l(w) = -33*k(w) - 4*t(w). Factor l(a).\nAnswer: 3*a*(a - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 404954 and 27334395.\nAnswer: 54668790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = f + 1. Let u be 1*3*(-266)\/(-57). Suppose u = f*z + 2. Solve 5*o - 29 = 2*s, s + z*o - 13 = o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/(-195))\/(9\/315) + (-4)\/(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/11)\/u**5)\/(u**(1\/8)*u**7) assuming u is positive.\nAnswer: u**(-1091\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/15*(-24)\/16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d**2 - 10*d**2 + 5*d - 2*d to the form q + r*d + h*d**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -30962*q - 31. Let h(p) = 20641*p + 21. Let o(k) = -7*h(k) - 5*i(k). Let w be o(4). Round w to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*y**5\/6 + 35*y**4\/3 + 26*y**3\/3 + 4*y**2\/3.\nAnswer: -y**2*(y - 2)*(7*y + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*c**5 - 32*c**4 - 22*c**3 - 4*c**2 = 0. What is c?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 9*b - 21. Is 13 a factor of p(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 988633.2 millilitres in litres?\nAnswer: 988.6332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 + 5*c + 3. Let f(t) = t**2 + 1. What is 4*f(k) - y(k)?\nAnswer: k**2 - 5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**5 + 25*d**4 + 35*d**3 + 15*d**2 = 0. What is d?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2101112 (base 3) to base 8\nAnswer: -3316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 45 - 53. Let d(a) = -516*a - 12*a**r + 5 - 4 - 509*a + 1024*a. Determine d(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 201978279?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3792 - -4109. Calculate the remainder when k is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690 is divided by -11 + (-4 - 3) + 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/8106948 and -89\/48?\nAnswer: 32427792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/63 in -3, 0.14, 1\/2, -3842, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 1\/10, -8, 24, -17 in descending order.\nAnswer: 24, 6, 1\/10, 0, -8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + (125 - 131).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*l**2 + 20*l**2 - 7*l**2 + 10 in the form t + p*l + a*l**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n = -38*n - 60. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/140 - (-1)\/(-4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 - 2293574*z**2 + 2293574*z**2.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -z + i, -4*z - 17 = -3*z + 4*i. Suppose t = z*t - 82. Suppose 5*c = -a + 65, c - t = -3*a - 14. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.103 or -83\/3?\nAnswer: -83\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 29*n**4 + 8*n**2 - 33*n. Let q(x) = 19*x**4 + 5*x**2 - 22*x. Let k(j) = 8*q(j) - 5*w(j). Find the second derivative of k(t) wrt t.\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5\/8)\/(c\/(c*c*c\/((c*c**4)\/c))) assuming c is positive.\nAnswer: c**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -0.1. Let j = -1 + u. Let y = j - -1.1. Which is greater: -2\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29795 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17803*u**2 - 3480*u**2 - 61160*u**2.\nAnswer: -82443*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 4:02 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 5*d**2 + 4*d + 6. Calculate s(6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 442, 3 in decreasing order.\nAnswer: 442, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 2, k: 3, u: 1}. What is prob of sequence zqz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 25*q**2 - 6 - 5.\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5*(15\/(-60))\/((-5)\/148) is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-17)*p**(-1\/46)*p*(p**(-19))**(2\/43) assuming p is positive.\nAnswer: p**(-33439\/1978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**6\/15 - 5*m**5\/2 - 72*m**2 - 72*m + 6. Let t(u) be the first derivative of p(u). Differentiate t(q) with respect to q.\nAnswer: 8*q**3 - 150*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-132)\/(-24))\/((-1)\/(-10)). Suppose -4*n - q = o + n, -3*o = -5*n + 185. What is o rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 36316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 27*h - 30. Suppose -c = -2*c + h*b + 93, -3*b - 181 = -2*c. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k - 8. Let n be ((-1)\/21)\/(1096\/(-959)). Let f(z) be the third derivative of n*z**4 + 0*z + 0 - 1\/6*z**3 + 19*z**2. Determine -3*a(m) + 24*f(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-20)\/6)\/(1330\/(-228)))\/((-12)\/(-5082)). Factor -2\/9*g**2 - 44\/3*g - r.\nAnswer: -2*(g + 33)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 52213, -20 in decreasing order.\nAnswer: 52213, 4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55630 is divided by 304.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -958, -1576, -2190, -2800, -3406, -4008, -4606?\nAnswer: -5200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.5 and -1.884.\nAnswer: 1.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3147 is divided by 115.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62.000102 + -62. What is f rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Let t = -985.9 + 985.9. Which is the nearest to 0.06? (a) 2\/13 (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**1)**(-10)*(t*t**(1\/2))**(11\/4)*((t\/((t\/(t**1\/t))\/t))\/t)\/t*(t*t\/t**(1\/9))\/t*t*((t*t**0)\/t)**(-28) assuming t is positive.\nAnswer: t**(361\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140846 is divided by 96?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170364384 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -0.3 (b) -15 (c) -0.1714 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g. Let k(s) be the second derivative of -1\/3*s**4 + 0*s**2 + 0*s**3 + 0 + 183*s. Determine u(k(r)).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(12) - (sqrt(84)\/(sqrt(14)\/sqrt(2)) + sqrt(12))))\/(5*(sqrt(324) + 3*sqrt(324) + sqrt(324) + sqrt(324))) + -5)**2.\nAnswer: -5*sqrt(3)\/27 + 24301\/972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**4 + 10*t**3 - 11*t**2. Let b(j) = -10*j**3 + 10*j**2. Let m(u) = 4*b(u) + 5*w(u). Determine n, given that m(n) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453906771.\nAnswer: 3, 23, 6578359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -19, 10, -3, -6 in decreasing order.\nAnswer: 10, 9, 3, -3, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**2 + 9*m + 242. Let b(l) = -l**2 + 3*l + 77. Let u(s) = 3*b(s) - c(s). Let t(n) = 9*n. Determine u(t(q)).\nAnswer: 162*q**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/36 and 19\/552?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**4 - 2*k - 3*k**4 - 4*k**2 - 5*k**2 + 10*k**2 + 2 as i*k**2 + f*k**4 + d + q*k + b*k**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f**2 + 2*f - 12. Let d(z) = -z**2 - 1. Let n(i) = -5*d(i) - g(i). Let u(r) be the first derivative of n(r). Give u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 - 27*p**3 + 171*p**2 + 2247*p + 5292.\nAnswer: -3*(p - 9)*(p + 4)*(p + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6852 is divided by 3423.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 64063253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26884685\/174 + 154509. Find the common denominator of v and 35\/6.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -13, -4, -5.\nAnswer: -13, -7, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 9:45 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 8. What is the third derivative of -2*k**2 - k**3 + p*k**2 - 5*k**3 wrt k?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/7868 and -55\/6.\nAnswer: 23604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3 - 6 + 1 - 9*r - 1. Let i be 3\/1 - -6*(-30)\/36. What is k(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 193000 = -4*b - 187934, -h = 2*b - 190499. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -1457.\nAnswer: -291.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - -4 - (63 - (-53 + 127)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 363 and 54686423?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1451*r**3 - 243*r**3 + r**2 - r**2.\nAnswer: 1208*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 6:00 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 2:05 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 120 = 3*i - 2343, -2*j + 3*i + 1662 = 0. What is the highest common divisor of j and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*s*w**3 - 991*s*w**2 + 12*s + 245*w wrt w.\nAnswer: -18*s*w - 1982*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.31 + 0.01. Let q be (27 - -3)*(-10)\/90*6. Put -8, t, q in ascending order.\nAnswer: q, -8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192) - -1*sqrt(192))*-6)\/((sqrt(84)*-3)\/sqrt(7)))\/((3*sqrt(40))\/sqrt(5) - (sqrt(56)*-3)\/sqrt(7)).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-456)\/(-33) + (-10)\/(-55). Calculate the greatest common divisor of 28 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 632553608?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - g + 4 = -8, 2*f - 6 = -2*g. What is f rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26a3781 (base 11) in base 14?\nAnswer: 89475d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 33211 = 5*f, -5*f = -2*j - 7129 - 26072. Let g = -1732 + f. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**2 + 3*s**2 + 6*s**3 + 1 + 12*s**3 + 20*s**3 + 0 + (2 + 3 - 3)*(-2*s**3 + s - s) to the form n*s**2 + o*s**3 + d + b*s and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*r - 129*r + 59*r in the form s*r + i and give s.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14981 - 6395.952.\nAnswer: 8585.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.14 + 13. Let o = 6088.9 - 6089. What is the biggest value in o, k, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5c (base 16) to base 3\nAnswer: 10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, a: 4, k: 1, v: 1, o: 4}. What is prob of sequence kr?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -8*t**3 + 4*t. Let i be (-1)\/(-6) + (-700)\/(-120). Let o(z) = -8*z**3 + 3*z. Let k(s) = i*q(s) - 5*o(s). What is the second derivative of k(w) wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 19*x - 15. What are the prime factors of u(-10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3142951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*z**3\/5 + 9*z**2\/5 - 3*z - 18\/5 = 0. What is z?\nAnswer: -2, -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105342 is divided by 11692.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 30847920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.4. Let a = 14.69 + 0.31. Let g = -14 + a. Sort 0.3, g, i.\nAnswer: 0.3, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, z: 2, j: 1, h: 5, p: 1}. Give prob of sequence zj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 + 46*c**2 + 59*c - 8. Let t be p(-21). Which is greater: 521 or t?\nAnswer: 521","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -773033.893421\nAnswer: -773019.893421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -1)*11\/2. Let c(t) = -t + 29. Let p be c(6). Let o = f + p. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/y**(-5\/2)))**(7\/4))**(-7\/4)\/((((y\/y**(-2\/3))\/y)\/y)**(-40)*y**9\/(((y*y**(4\/11)*y)\/y)\/y)) assuming y is positive.\nAnswer: y**(-18349\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13547?\nAnswer: 19, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 0*((-6)\/(-6) + 0). Which is the nearest to 0.1? (a) 2\/33 (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 4*u + 12355. Let j be w(0). Suppose j = 6*t - 19007. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 + 21*p**2 - 44*p - 32. Let o be u(-12). Calculate the greatest common divisor of o and 544.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -719*q + 1. Let z = -48 + 46. Is s(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, u: 3, n: 1}. Give prob of picking 2 u and 1 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 334 and -8.2?\nAnswer: 342.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -47703 (b) -2 (c) 0.7 (d) -0.34 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 15. Suppose -6*x + 3*x = -j. What is the remainder when 17 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m + 1 + m**2 + 43*m**4 + 0*m - 44*m**4 - 4*m to the form s*m**3 + n + t*m + w*m**2 + p*m**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -26. Let z(j) be the first derivative of 0*j**2 + 10*j - 1\/2*j**4 + 11 + c*j**3. Differentiate z(y) wrt y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than 0.0862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**2*v + 456*t**2 - 36*t*v**3 - 3*t*v wrt v.\nAnswer: t**2 - 108*t*v**2 - 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10868 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 765140120 and 4450?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oloolzwpzolp. Give prob of picking 1 p, 2 o, and 1 l.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000535747964 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 3060.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 614.\nAnswer: 614.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 2\/7 (b) 2\/13 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -75. Let y = n + 125. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*n + 1444, -68*z + 8 = -66*z. What is the highest common factor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8249192?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 556012676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3096451\/93112 - 3432\/103. Find the common denominator of 93\/4 and j.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1651 and 635?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*m - 16*m + 72*m - 25*m)*(150*m - 21*m + 19*m).\nAnswer: 12728*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -503 + 25?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -10*l - 43. Let t be d(-6). Let s = t - 679. Is (s\/(-8))\/((-3)\/(2 + -86)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -303 by -352616.\nAnswer: 303\/352616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -1\/6*c**3 + 0 + c + 1\/8*c**4 - 2*c**2. Let q(y) be the first derivative of v(y). Determine q(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 - 3*u**2 + 2*u - 5. Let l be h(3). Calculate the greatest common factor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 2, 0, 1\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/8*(-3 + -1). Suppose 5*g = 23 + 32. Suppose -3*b + 1 = w - g, 3*w + 16 = 4*b. Solve w = t*n + 4 + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2983 + -1?\nAnswer: 2982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 1119*j + 3367. Let r be p(3). Let c be -3 + 2 + 2 + -2. Sort -2, -8, c, r in descending order.\nAnswer: r, c, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -20. Let k(u) = u - 1. Let t be k(4). Solve q = -0*f + t*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -197 - 523. Let w = v - -1277. List the prime factors of w.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217.433 - 0.1?\nAnswer: 217.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-15)*45\/(-10)*30\/495\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 9:10 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31229958 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 83, -155, 40, -3, -0.4, -0.04, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 19*g - 14*g. Solve 0 = -5*x - p + 5, -6*x + g = -x - 2*p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 59*h**4 + 7*h**2 + 13*h + 14. Let x(m) = -29*m**4 - 3*m**2 - 6*m - 7. Let i(w) = 3*c(w) + 7*x(w). What is the second derivative of i(v) wrt v?\nAnswer: -312*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 4\/632825 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 16*l - 19*l - 25, -12 = 3*w. Which is greater: l or -42\/19?\nAnswer: -42\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 1844*p + 48592. Calculate c(-26).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 2:35 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8279.9 - -8280. Which is smaller: 1\/325 or b?\nAnswer: 1\/325","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*q = -51, 4*v + q + q - 62 = 0. Let h be 1 + (-4)\/(-4)*v. Is h equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3\/8 (b) 0.5 (c) 326690\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1847.\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 54 = -c - 7, -5*c + 208 = 2*q. What is the remainder when c is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -240 + -48. Let q(u) = 3*u**3 + u**2 + u + 2. What is the least common multiple of q(2) and (1 - 2 - -1) + v + 292?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrmhrmj. What is prob of picking 2 m and 1 r?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10, 38, 88, 172, 302, 490?\n\"Answer: 2*q**3 - q**2 + 17*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 40.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n*n**(-7)*n*n*n*n*n*n**17)**18)**(-12) assuming n is positive.\nAnswer: n**(-4104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 9:42 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 21 + 31 = 17. Solve -4*j = v*p + 40, 0 = 4*j - 0*j + 3*p + 32 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 239.8 + -240. Let z = 3.96 - -0.04. Which is the closest to q? (a) 2\/5 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -54*p**3 + 2*p**2 + p + 2. Let u be d(3). Suppose 0 = l + 6 + 43. Is 8 a factor of u\/l + (-4)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 4 - (-20 + 3) - (2 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3619162, 7238226, 10857290?\n\"Answer: 3619064*y + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + t - 2*t)*(-19*t - 9 + 41 - 27).\nAnswer: -19*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -5, -4, -52, 11856.\nAnswer: -52, -5, -4, 2, 5, 11856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 19665828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9574 - 5657. Let n = c + -105698\/27. What is the common denominator of n and 43\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10b (base 15) to base 2\nAnswer: -11101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8649 and 701?\nAnswer: -6062949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 26. Let g = 734 + -756. Determine a(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36989?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234336062.\nAnswer: 2, 117168031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/(-20) - 5)*1\/(-3)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22684?\nAnswer: 2, 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1619, -7, -1.7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11490 and 1096146?\nAnswer: 5480730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 1. Let h(i) = -7*i - 65. Determine -h(m) - 5*k(m).\nAnswer: 2*m + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 68734*q + 4398978. Calculate f(-64).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -9. Suppose r - k*r + 18 = 0. Solve 0 = x + 2*x - r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20968 and 4096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 5:13 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 e when three letters picked without replacement from {x: 5, u: 5, e: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 + 5*y**3 + 82 - 8*y**3 + 90 - 279.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a week in hours?\nAnswer: 1806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 36170485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*g**4 + 2)*(-312*g - 65*g + 127*g) + (0*g**4 + 6*g**4 - 3*g**4)*(-g + 5 + g + 2*g).\nAnswer: 1006*g**5 + 15*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 366615340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 30*s - 16*s - 130 = 0, -5*h + 3*s + 26 - 73 = 70 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 0 + -2 - -1. Let a = 1 + u. Factor -6*t**4 + t**a + 0*t - t**3 + t + 5*t**4.\nAnswer: -t*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -902 + 2581. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51642 (base 8) to base 14.\nAnswer: -7b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7 + 1 = 0, 2*w + 5*a = 44. Solve -2*p = -p - 4*f - w, -2 = f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -2.1, 2\/17, 0.1947, -15 in descending order.\nAnswer: 0.1947, 2\/17, -4\/7, -2.1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 1826?\nAnswer: 9130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*g - 8, 0*q + 2*q = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -11*y - 49. Let t(k) = -5*k - 25. Let i(w) = 9*t(w) - 4*u(w). Let r be i(-24). Which is the biggest value? (a) r (b) -1\/2 (c) 0 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 79, 2\/9, -2, 6, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) -2 (c) -1\/30 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/110*3\/(18\/(-8)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-84)\/(-36) + (2 - 8\/6). Let x be (-36*h*12\/(-24))\/2. Solve -5*c + 3*t + x = 0, 8*c - 3*c = 4*t + 31 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 222 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -14. Let k(y) = y - 13. Let i(g) = 6*k(g) - 5*u(g). Differentiate i(z) with respect to z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -451, -74, -0.5?\nAnswer: -451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2735 and 271735?\nAnswer: 148639045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144124 divided by -548.\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11552427 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f - 71046 - 202518 = -53*f. What are the prime factors of f?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -64*r**7\/7 - r**6\/3 - 49*r**3 - 133. Find the third derivative of f(k) wrt k.\nAnswer: -7680*k**3 - 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by 64.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -20. Let c(p) be the third derivative of 3*p**2 + 0*p**3 - 1\/6*p**n - 1\/60*p**5 + 0 + 0*p. Determine c(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-252)*532\/(-38)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*z = 69*z + 952. Calculate the remainder when z is divided by 68.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14259*x**2 + 134*x + 1 + x**3 - 14253*x**2 - 3 wrt x?\nAnswer: 6*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/54*(71 + -72 + 3)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6072\/92)\/(-66)*-4*1\/(-7).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1327 + 3991. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 at most as big as 823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, b: 2, n: 1, r: 1}. Give prob of sequence nr.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(63)\/(sqrt(18)\/sqrt(2)) - sqrt(7) - sqrt(7)) - (((1*sqrt(10))\/sqrt(5) - sqrt(2)) + 3).\nAnswer: -3 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 727129.9 millennia in months?\nAnswer: 8725558800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 66. Suppose p + 3*p - 12 = -l, -2*p + 3*l = -r. Let -m**2 + m**p + m**3 + m**2 = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 865132 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l - 1. Let v = -24 + 23. What is x(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - b**2 - 8*b**2)*(1 - 1 + 2)*(2*b + 2*b + 0*b).\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 7 = -4*z - 7, z = 3*a - 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7365144641 to the nearest integer?\nAnswer: 1946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2773798 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: What is the third biggest value in -4, 7\/5, 0.363?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*h + 10. Suppose 8 - h = c. Suppose -5*f + p = -38, -4*p - c = -2*f + 2. What is the greatest common divisor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from kbnlntc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5215 - -12452. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*p + 5*k, 3*k = 3*p + 10 - 28. What is the derivative of p - 13*z**2 + 63*z**2 + 33 - 22*z**2 wrt z?\nAnswer: 56*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -17. Let t be ((-12)\/10)\/(o\/20). What is the least common multiple of 7 and t\/18 - (-194)\/18?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 29329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.254 + -11.254. What is the fourth smallest value in 2, 0.03, -3, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88941710918 + -0.04.\nAnswer: 88941710917.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -6001000 to the nearest 100000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 10*o - 2. Give n(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -81, 13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2446424318 + 0.071612.\nAnswer: 2446424318.071612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*g + 73 + 1 + 37 = -42 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1421 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**7\/7560 - v**5\/360 - v**4\/12 + 3*v**2. Let j(p) be the second derivative of y(p). Find a, given that j(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 b when four letters picked without replacement from jjjkjjmbsssmj?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o + 20. Let k(g) = -g**2 - 22*g - 110. Let j be k(-8). Solve -c + 2*c + 9 = 2*w, -j*c = o*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventy-one fifths of a milligram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -5.5?\nAnswer: -0.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3687 - -275. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*-1*(-1)\/(-4). Let i be (-1 + q)*(3 + (1 - 1)). Let p = -152 - -156. Solve v + x - 2 - i = 0, 5*v = -p*x + 21 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 8. Let h be ((-2)\/3)\/(4\/t). Suppose 5*i = h*i + 12. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 46 + 7*o**3 + (-o + o - 2*o)*(-35 + 4 - 362*o**2 + 32) to v + j*o + a*o**3 + d*o**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18409445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.116 (b) -0.24 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 802340 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.0406 (b) -24 (c) -0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5847 > 5851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -129 + 188. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*p**3 + 53*p + 55*p**3 - 4*p**3 - 18*p**3 - 20*p.\nAnswer: p**3 + 33*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(18\/7)\/s)**(-4) assuming s is positive.\nAnswer: s**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -1 - (-59 + 71 - -100 - 54).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 35 = 5*c, -13*n + 8*n - 29 = 2*c. Put 2, -77, 5, n in decreasing order.\nAnswer: 5, 2, n, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11 - -23 - (2 + 3). What is the remainder when -2*u*(5 + -6) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-13))\/(k\/(k\/k**2))*(k*(k*k**(-8\/9))\/k*k)\/k**(-34))**(6\/23) assuming k is positive.\nAnswer: k**(848\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 494 and 25118.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19690 divided by -9845?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.9 + 6. Is u less than -0.096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 23*r**2 + 52*r + 36. Let a be j(-25). Let k(f) = -f**2 - 18*f - 53. Let h be k(a). Solve -4*q = -4*z - q + 9, 2*z - q - h = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21097311307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/36 - 58\/(-18). Suppose 32 = g*d - 58. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 9*g - 10. Let y be c(5). Let r be ((-4)\/y)\/(4\/20). Is -4 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308 = -18*v - 15*v + 1793 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -2*g - 12, p = -0*g + g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**4\/4 - o**2\/2 + 15*o - 1. Suppose -4*w = 3*t + 6, 5*w + 4*t = -1 - 7. What are the prime factors of q(w)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12795 and 2297129?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 133131?\nAnswer: 133140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112 + -101.8. Let n = 10 - r. Let g = 181\/816 - 5\/48. Sort n, g, -0.5 in ascending order.\nAnswer: -0.5, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 7:17 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 13 = -10. Suppose -4*h + 3*h = r. Sort 3, -4, h.\nAnswer: -4, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/47 (b) 0.6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 687 divide 21275703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from {m: 2, k: 3, h: 3}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 1:19 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3053153 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 + 47*m**2 - 47*m**2 + m - 4*m**3 + 2 to u + s*m**4 + c*m + y*m**2 + p*m**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1254 - -1963. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578064053.\nAnswer: 7, 269, 306991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kokk when four letters picked without replacement from {k: 5, o: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**6\/10 + 2*t**2 + t - 1. Let k(m) be the first derivative of o(m). Differentiate k(p) with respect to p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-6))\/(39\/26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2219576 and 2706.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Suppose 4*a - 5*m = y + 10, 0 = m. Let x be (-55 + 126 - 72)\/(2 - (5 + -2)). Solve 2*r - x = -a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + 2*(sqrt(567)*-1 - sqrt(567)) + sqrt(567) + sqrt(567) + -1*((sqrt(567) + 1 - sqrt(567)) + sqrt(567)) + -4)**2.\nAnswer: 108*sqrt(7) + 5107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 2*l + 6*l - 2 - l + 2 - l + 2*l + 0*l + (4 + 2 - 5)*(-3*l + l + 3*l))*(7*l - 5*l + 2*l).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgfgy. What is prob of picking 2 g and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(16) + 3*sqrt(16))*6*4)\/((sqrt(392) - sqrt(392)*1) + sqrt(8) - sqrt(48)\/(sqrt(6)*2)).\nAnswer: -4 + 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: 25570 divided by -2\nAnswer: -12785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 + 10\/(-7)*5 and 6 - (1 - (-62)\/20)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -1.87, -1417.\nAnswer: -1417, -1.87, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -100, -178, -274, -394, -544?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 13*q - 9. Let g be t(-4). Let x = g + 134. Let w = -26 + x. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 76889*x**2 - 56802?\nAnswer: 153778*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9044.9 + 216?\nAnswer: 9260.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i. Let z(y) = -y**2 + 7*y - 3. Let t be z(6). What is s(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14159771 is divided by 9153?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjje. What is prob of sequence je?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -187 + 255. Find v such that a*v + 80*v + 43*v - 3*v**2 - 1502 - 1570 + v = 0.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2134*a**3*g**3 + 5*a**2*g**3 + 2*a**2*g**2 + 2*a*g wrt a.\nAnswer: -12804*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(1 - (-3774)\/(-3842)) + (0 - 6).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**3 - 6*v**2 - 7*v - 6. Let c(b) = -12*b**3 + 13*b**2 + 15*b + 13. Let l(x) = -6*c(x) - 13*d(x). Let a be l(-1). Is 5 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1005 - -1005. What is the fourth biggest value in -4, d, 0.3, -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2 and ((-17439)\/(-8622))\/(24\/72) + 36\/(-6).\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19718429 less than -0.22?\nAnswer: -19718429.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*s + 11, -13*s = -14*s - 5*m + 21. Let l be (-3 - s)*(0 - -1). Solve 3 = 2*y - l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/(-234) - (-297)\/13. Solve -r*p + 8 = -19*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 0.1. Let d = 103 - 102. Let q be ((-80)\/12)\/d - -6. Which is the closest to -5? (a) z (b) -2\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78450000 rounded to the nearest 1000000?\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 31 (b) 0.1 (c) -5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 16.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 5*t**2 - 3*t - 3. Let r = -2 + 6. Suppose q - 11 = r*z - 3*z, -z + 13 = 3*q. List the prime factors of i(q).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119 + 121. Let t(q) = -3*q - 38. Let k be t(-16). Let f be (k - 4) + -2 - 9. Let z(b) = 2*b**2 + b - 8. Let m(x) = x**2 - 4. Calculate f*m(j) + h*z(j).\nAnswer: -j**2 + 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 579d (base 16) in base 12?\nAnswer: 10b91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2440920, 4881926, 7322932, 9763938, 12204944, 14645950?\n\"Answer: 2441006*k - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142 divided by 5.\nAnswer: 142\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w + 7*w + 4*h - 2, -1 = -5*w + 3*h. Solve -5*n - 3*x = -2*x + 12, -3*x = -4*n - w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3679\/2398 + 846\/109. Let i = 1931\/220 - t. What is the common denominator of i and 15\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.898 > -27\/394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1 = -19. Suppose 0 = -f*w - 0 + 35. Suppose w*h = 5*h. Solve z - 3*z = h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 214*d + 3355. Let x be c(17). Calculate the highest common divisor of 1040 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 46394160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 greater than or equal to -112\/169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsnzzznzsnz. What is prob of sequence nz?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -78*(-5)\/30 - 10882\/(-2). What is the greatest common divisor of v and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*l**6 + 57*l**2 + 86*l**6 + 61*l**6 + 87*l**6 wrt l?\nAnswer: 20880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5648.41 - 5695. Let n = f + -0.41. Let m = 46.6 + n. What is the second smallest value in -4\/7, -0.1, 7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, o: 5, d: 2, r: 1, b: 1, u: 2}. Give prob of picking 1 o and 1 d.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**8\/13440 - u**7\/1680 + u**4\/2 + 26*u**2. Let r(j) be the second derivative of x(j). Factor r(n).\nAnswer: -n**2*(n + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 8. Let q = b + -10. Let u(v) = -v**3 + 32*v**2 + 281*v - 7219. Calculate the remainder when u(34) is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2. Let d(h) = 5*h**3 + h**2 + h + 1. Let s be d(-1). Let k be s\/(-22) + 55\/363. Is k < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -37. Factor -4 + 4*r**2 - 10*r - 6*r**2 - 2*r**3 - 4*r**2 - 2*r**p.\nAnswer: -2*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/6134 and -71\/107345.\nAnswer: 214690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 8 = -2*n, 2*y - 846*n + 843*n + 21 + 1 = -1 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 8*w**2 - 11*w + 6. Let m be n(7). Let y = m - -57. Let i = 577 - 192. What is the greatest common divisor of y and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1420 - 110431?\nAnswer: -105011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 1. Let u(c) be the third derivative of c**6\/120 + 7*c**5\/60 + 7*c**4\/24 + 7*c**3\/6 + 2*c**2. Let o be u(-6). Let k be i(o). Is k < -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 11*z**2 + 13*z - 22. Calculate the smallest common multiple of 12 and l(-8).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**3 + 2*q**2 - q - 3. Let b(x) = x**2 + 11*x + 17. Let u be b(-9). Let s be c(u). Solve 0 = 5*w + r - s*r - 13, -2*w - 2 = -4*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -205?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*m = -o - 9, 3*o - 4*m = 16. Suppose -u = -5*u + o. Solve u = i + 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.11 + 19.11. Let z = l + -18. Which is the nearest to -0.1? (a) z (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q - 2*r + 1, -5*r + 10 = -5*q. Solve -5*d - q = 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -537 + 784. What are the prime factors of a?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 - 63. Which is the nearest to 0.05? (a) -2 (b) j (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z - 57428 + 149300 = 0. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-285*y - 225*y - 49*y - 317*y)*(24 - 48 + 22) to d + k*y and give k.\nAnswer: 1752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(100\/(-126995)))\/((-15)\/75) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g**2 + 8*g**2 - g**2)*(11*g - 54*g - 39*g).\nAnswer: -82*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1000011101110 (base 2) to base 8\nAnswer: -10356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a**3 + 4*a**2 + 4*a + 2. Let z be o(-2). Let k = z + 49. Sort 2, 5, k in decreasing order.\nAnswer: 5, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 9*m + 2. Let p be j(8). Solve -5*s - p = -25 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.51 - 7. Which is the second smallest value? (a) s (b) 0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/33*11*-4*3\/(-200).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.04 - -1.84. Is 0.05 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1191310 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.70588ng in tonnes?\nAnswer: 0.00000000000007370588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1881 = -4*n - c, 67*n - 4*c - 918 = 65*n. What are the prime factors of n?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -9 + (9 - 20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 8*h = 2*m + 5, -4*m - h = 15. Does 3 divide (-42)\/3*m\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 88477, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 3 = -39. Suppose -r - 3*f - 11 = -0*r, 8*r + z*f - 17 = 0. What is the second biggest value in 24, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwwwwwz. Give prob of picking 2 w and 1 z.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224975 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6345, -25251, -56725, -100767, -157377, -226555, -308301?\n\"Answer: -6284*w**2 - 54*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, e: 2, r: 1, a: 4, o: 7}. What is prob of picking 1 r, 1 q, 1 e, and 1 a?\nAnswer: 8\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/60*((60\/(-115) - 5) + 5)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 46564148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + (2*(sqrt(176) + (sqrt(176) + 2*sqrt(176) - sqrt(176)) + sqrt(176) + sqrt(176)) - (-4 + 4 + sqrt(176))))**2*3.\nAnswer: -1296*sqrt(11) + 42876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + s**2 - 1. Let k(f) = -6*f + 0 - 8*f**2 + 2*f**3 + 2*f + 4 + 1. Let n(t) = k(t) + 3*q(t). Determine n(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - 72*o**3 + 2*o**2 - 41*o**3 + 112*o**3 - 503 - 2*o**3 + 3*o**3 - 2*o**3 + (1 - 2 + 2)*(-o**3 - 2*o**3 + o**3) + 0 + o**3 + 0.\nAnswer: -3*o**3 + 2*o**2 - 2*o - 503","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 2\/11 (c) 0.1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36468*x**4 + 3*x**2 + 2488*x - 4.\nAnswer: 875232*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + -5*sqrt(304) + 1 + 4 + -1)**2 + 4 + 3.\nAnswer: -240*sqrt(19) + 7646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*(45\/21 - 3). Let n(z) = z**3 + 5*z**2 + 5*z - 2. Let o be n(-4). Let u = o + t. Solve r = 4*a + 1, 3 = 3*r - u*a + 2*a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 + 22 + -9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.9999883 - 6. Round j to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 552708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57791561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 2*r + 4*r)*(0*r**2 + 3*r**2 - 4*r**2) + (0*r - r - r)*(-2*r - r**2 + 2*r) + 1 + 2*r**3 - 1.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 10:54 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-17 + (33 - 25) - ((-2 - -3) + -108))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 + 130. Suppose w = -4*w + 1110. Let q = 325 - w. Calculate the remainder when q is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88305900.\nAnswer: 2, 3, 5, 294353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 410864672 and 3776?\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*t - 39*t - 96*t + 62*t.\nAnswer: -146*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, k: 2, b: 3, y: 2}. What is prob of picking 1 k, 1 a, and 2 y?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -283, -1178, -2489, -4222, -6383, -8978, -12013, -15494?\n\"Answer: -o**3 - 202*o**2 - 282*o + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 2*l + 2*l)*(-73 - 9*l + 73) + (-l**2 + 0*l**2 + 0*l**2)*(39 - 104 - 63).\nAnswer: 137*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 12*t + 44. Let a be d(-4). Does 28 divide (a + 16)\/(3\/70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 10. Let x be f(6). Suppose 0 = 3*t + x*t - 2*y - 20, -2*t - 16 = 4*y. Let j(k) = 3*k**t - 10*k + 10*k. Let g(q) = 6*q**2. What is j(g(p))?\nAnswer: 108*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 188, 218, 268, 344, 452, 598?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000903871 rounded to 6 decimal places?\nAnswer: 0.000904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -27*(5 + (-17)\/3). Suppose -r - d = -146. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 15464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -292*p + 3576. Let r be j(11). Calculate the highest common factor of r and 3185.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8*(396\/(-252) + 8\/14). Solve t*g - 6 = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348458*t**2 - 116138*t**2 - 116015*t**2 - 116134*t**2.\nAnswer: 171*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*x - 14 = -2*x, 2 = -g + 3*x. Suppose -7*o = -g*o - 15. Let q = 4 - 3.5. Sort q, 0.3, o in increasing order.\nAnswer: 0.3, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 5*o - 3. Let h be i(-6). Let l(z) = z**2 - 23*z + 112. Let t be l(7). Solve -3*f + 4*f + h = t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 12*s**2 - 32*s + 241. Calculate v(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 10 - x + 5*x**2 + 3*x + x - x**3 - 6*x. Let y be d(4). Put 2, y, -3 in increasing order.\nAnswer: -3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g + 10653 = 148*g + 81*g for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.526855 minus -1022422?\nAnswer: 1022420.473145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 56. Let w(p) be the first derivative of 11*p**3\/3 + 241. Give o(w(b)).\nAnswer: 11*b**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129753684.\nAnswer: 2, 3, 41, 29303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89907.66um to kilometers.\nAnswer: 0.00008990766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - -37. What is the remainder when v is divided by ((-27)\/(-36) + 3)\/(3\/12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 494757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(11\/(-4) - 2\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -518, 36, -9 in increasing order.\nAnswer: -518, -9, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594 = -5*t - 559, -b - 269 = -38*t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + 0. Calculate the remainder when 143 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137.1222704 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -0.11 (b) 1 (c) -2\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 7*w**2 - 11*w + 7. Let m be b(5). Suppose -8 = -5*k - 3*z + m*z, 4*k - 12 = 2*z. Solve j - 4 = -k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1239 + 1243. Solve -4*h + i = -u*i + 8, -2*i + 11 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a**3 + 170*a**2 - 6942*a + 47806 = 0 for a.\nAnswer: -53, 11, 41\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -44357*4\nAnswer: -177428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22732 (base 13) to base 6.\nAnswer: -1202244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1245, -2709, -4165, -5613, -7053, -8485?\n\"Answer: 4*z**2 - 1476*z + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.17, 2\/19, 4, -164?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by 111?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -87410 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**4\/2 - 317*v**3\/3 + 1719*v - 1440. Differentiate d(j) with respect to j.\nAnswer: -6*j**2 - 634*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 526, 2857, 6758, 12229?\n\"Answer: 785*a**2 - 24*a - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13522508 is divided by 150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 11:58 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -997, -4135, -9411, -16825?\n\"Answer: -1069*b**2 + 69*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 206, 177, 156, 143, 138, 141?\n\"Answer: 4*w**2 - 41*w + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 818833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 5:58 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.321 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57710?\nAnswer: 2, 5, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (27\/36)\/(2\/8). Let u be (344\/(-20))\/(a\/(-300)). Round u to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6)*(26 - 8). Solve 0 = -5*f - 3 - k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + sqrt(7) - (4 + -2 + sqrt(7)))*-2.\nAnswer: -20*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 118827087 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 1367*x - 19351. What is y(-14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29d - 1c9d?\nAnswer: -1f3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 not equal to 1644\/659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 212.01 - 212. Which is the biggest value? (a) 2 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.21 - 0.2. Let g = -8 + 8. Let m = 3131\/8 - 391. Put g, j, m in increasing order.\nAnswer: g, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 53b?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a - 45. Let t(w) = -271*w - 177. Let z(y) = 100*y + 58. Let i(d) = 3*t(d) + 8*z(d). Calculate 5*i(x) - 7*u(x).\nAnswer: -2*x - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3783 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -42.8 times 1\nAnswer: -42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0829 + -2.9171. Which is the closest to 1? (a) x (b) -2\/9 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 379971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*p = -0*p + 8, -p - 6 = -w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 - (126 + -127 - (-7 + -1 + 3 - 3)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 39792.\nAnswer: -11937.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -554527480, -1109054960, -1663582438, -2218109914?\n\"Answer: g**2 - 554527483*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 2569*c**2 + 2517*c**2 to f*c**2 + t*c + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q + 349. Let f be y(57). Solve -5*j + 2 = f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-30))\/((-6)\/(-9))*-5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13088289853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (808\/1010)\/(4\/15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -375 divided by 3\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b + 3*b**2 + 8*b**2 - 1 - 2 - 6*b**2. Let a be r(-1). Solve 4*d = -q - 15, a*d - q + 6 = 2*q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11\/28 - 1\/7. Let v be 4 + 0 - (13 - 5). Let h = 302 - 274. Sort h, m, v.\nAnswer: v, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49581342?\nAnswer: 2, 3, 918173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1407, 1252, 1089, 936, 811, 732, 717?\nAnswer: 784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9317, -37275, -83869, -149099?\n\"Answer: -9318*w**2 - 4*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22562 + 52*s**2 + 11635 + 10927.\nAnswer: 52*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -25*a**2 + 11*a - 26. Let x(s) = 5*s**2 - 2*s + 5. Let l(m) = -2*p(m) - 11*x(m). What is the first derivative of l(w) wrt w?\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/156 and -113\/130?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21210 + 303?\nAnswer: 21513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114 - (-3 + 2)) + 1 + (-33 - -37)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + r + 91. Give n(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f**2 + 47*f + 1912. Let t(j) = 3*j**2 - 17*j - 637. What is 11*t(s) + 4*v(s)?\nAnswer: s**2 + s + 641","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 242251\/18 - 13452. Calculate the common denominator of i and -67\/6642.\nAnswer: 6642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-177)\/826*14\/12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 112\/12 + 3\/(-9). Suppose 0 = -k + a*k - 24. Suppose -701 + 189 = -4*y - 3*q, -k*q + 262 = 2*y. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 + 59.85. Let r = -0.1 - -0.3. Let b = v + r. What is b rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*x + 158*x = -266 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 191614 and 2086.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000314016 rounded to seven dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 0*i - 5*i**2 - 2*i**2 + 0*i. Let x(u) = -5*u. Determine b(x(p)).\nAnswer: -175*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10013 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3060 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*v**2 + 28*v + 3)*(v**2 - v**2 + 2*v**2) - v**2 + v**2 - 2*v**4.\nAnswer: 2*v**4 + 56*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 2 (b) -5 (c) 0 (d) -170 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**4 + 2*y**4 - 6*y**4 + (2*y**2 - 4 + 4)*(3*y**2 - 3*y**2 + 2*y**2) + (2*y**3 - y**3 - 3*y**3)*(6*y - 2*y - y).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 9*b**4\/4 - b**2 + 9*b. Let v(u) = -u**2. Calculate d(v(f)).\nAnswer: 27*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08818 - -0.0881784692. Round r to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b + 6 = 0. Let a be (33\/9 - b)\/((-3)\/(-45)). What is the greatest common factor of 25 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3410 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, x: 1, g: 8, k: 5}. Give prob of picking 1 a and 1 x.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6309.315nm to millimeters.\nAnswer: 0.006309315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*m + 2*m - 100, 0 = -5*m - 5. Let f be q\/6 - (-4)\/(-8). Let t(c) = -2*c + 7. Let d be t(6). Put f, 4, d in ascending order.\nAnswer: d, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 18 + -5 - (-5 - 3).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123635 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 7) to base 4.\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 142*i**2 + 5*i + 4. Suppose 3*p - 6 = 3*z, -z = -4*z + 2*p - 6. What is the tens digit of r(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 1\/3 (c) 3 (d) 2\/11 (e) -102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -221.99 to the nearest integer.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2201495139 rounded to four decimal places?\nAnswer: 0.2201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2034 * 1.\nAnswer: -2034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/13, -21\/10, 3 in ascending order.\nAnswer: -21\/10, -10\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/3 - 146*a**2 - 5788*a\/3 - 3280 = 0 for a.\nAnswer: -205, -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0*i**3 - 1\/30*i**5 - 1\/24*i**6 + 0*i**4 + 0 + 0*i + 3*i**2. Find the third derivative of c(y) wrt y.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 393782 and 383962?\nAnswer: 153968762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -26*p**5\/15 - 74*p**4\/15 + 64*p**3\/15 + 304*p**2\/15 + 32*p\/3 - 32\/15 = 0.\nAnswer: -2, -1, 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26344 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + -1 + (0 + sqrt(200) + -1 + -2 + sqrt(200) + 0 + sqrt(200)*-2 + -2)**2).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 511632 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 + 2 = 2*n. Find the first derivative of -n + 27*w**2 - 3*w + 3*w - 56*w**2 wrt w.\nAnswer: -58*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.5, 16, -5, 199\/203?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5473416 = -1886*r + 1990*r. What is r rounded to the nearest 100?\nAnswer: -52600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 3*f**2 - f - 4. Let q be p(4). Let y be (-13 + q)*(-2 + 1). Solve -y*s - 2*t = 2, 0*s - s = -t - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-18) - 92*(-1)\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13248433 by -6.\nAnswer: -13248433\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a + 7*a - 6*a**3 + 5*a**3 + 2*a**4 - 7*a**4 - 3 + 3*a**4 in the form t*a**3 + m*a**2 + n + f*a**4 + k*a and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 236 - 235. Let x be (-11 - -13) + -3 + a. Solve x = u + 1 - 0, 0 = -s - 4*u - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 + -4) - 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 5. Let j be n(8). Let u = -53\/3 + 17. Which is the second biggest value? (a) 5 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 5*n**2 - 2*n + 2. Let k be a(-5). Let q = -9 + k. What is the third derivative of 2*m**2 + 0*m**2 + 2*m**q - 3*m**3 wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bffd when four letters picked without replacement from {f: 2, b: 4, d: 5}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 4*i**2 + 2. Let v(n) = 4*n**3 + 78*n**2 - 66*n**2 + 14 - 21. Calculate 7*g(a) + 2*v(a).\nAnswer: a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 23 (b) 0.12 (c) -63 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q - 23*q - 4*k - 9 = -10*q, -3*q - 8 - 21 = 14*k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.2 (b) -5 (c) -0.5 (d) 3 (e) -433 (f) 3\/5 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffffsfrffrsrrfr?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c + 12 = -3*x, 0 = -3*x - c + 6. Let w = 4 - x. Suppose w*m = -9, 3 = k + 2*m - 2. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -5) + (8 - -27) + -26?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2 + 96*r. Let y(f) = -34 - 5 + 42 - 2*f - 3. Give u(y(q)).\nAnswer: -12*q**2 - 192*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**3*l**4 + f**3*l**2 + 354*f**3*l - 2*f*l**3 + 2*l wrt l.\nAnswer: 48*f**3*l**2 + 2*f**3 - 12*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 698.7845 centimeters in kilometers?\nAnswer: 0.006987845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 622106550 to the power of 1\/3, to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 26 = 4*h, h + 4*j + 13 = 4*h. Suppose -x = -0*x - h*x. Which is the nearest to x? (a) 0.4 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 9:33 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjuf when four letters picked without replacement from utkfwwj.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 4, l: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m + 36. Let y be i(13). Let n be (26*1)\/((-2)\/y*-10). Solve -1 + n = -4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 6*g + 4. Let m be ((-3)\/(-2) + 0)*2. Suppose 0 = -m*z + 5*c - 7*c + 1, 4*z + 2*c - 4 = 0. What is x(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 73*k - 4. Solve -4*c + k*g = -3*g - 11, 0 = 5*c + 5*g + 30 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19009, -19014, -19021, -19030, -19041, -19054?\n\"Answer: -m**2 - 2*m - 19006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 744490066 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*p - 8*p + 5082. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 + 31. Let p = 53 + g. Let o = -55 + 70. What is the highest common divisor of p and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 2*z - 2*y + 7 = 0, 0 = 4*z + y - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 837 and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/7 and -16\/79.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5 + 1857*c**4 - 327394*c**3 - 166017*c**2 + 327392*c + 164160 = 0.\nAnswer: -1080, -1, -1\/2, 1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82 (base 13) to base 6.\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21a8497 - 0?\nAnswer: 21a8497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**3 - 3*x**2 + 20*x - 34. Let r be z(2). Sort 2, 11, -4, r in increasing order.\nAnswer: r, -4, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 6*t - 111 = -j, 5*j = 2*t - 91. Is 83 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525371926 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18734, -18612, -18490, -18368?\nAnswer: -18246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, v: 2, n: 5, b: 7}. Give prob of sequence nn.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -154 - -154.1. Put 3, y, -0.1, -23 in ascending order.\nAnswer: -23, -0.1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/21*(-60)\/(-80)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byq when three letters picked without replacement from {y: 2, a: 1, b: 2, q: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = l + 20, 5*d - 17 = -4*l + 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -75979827621721.\nAnswer: 75979827621718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*u - 351*u = 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuwpxwpuupuxxuuzupp. What is prob of sequence upzp?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2 + 2*s + 386*s**4 - 2 + 2*s**3 - 395*s**4 + s**2 in the form r*s**2 + k*s + p*s**3 + d*s**4 + f and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.29 - 109.41. Let m = 105 + q. Let j = -1.7 - m. Which is the third biggest value? (a) -1\/5 (b) j (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1176*q**3 + 4352*q**3 + 1443*q**3 - 4 + 4 - q**3 - 2*q**3 + 2*q**2 - 2*q**2 + (-1 + 2 + 1)*(-2*q**3 + 5*q**3 - 4*q**3) - 3*q**3 + 6*q**3 - q**3.\nAnswer: 4616*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 13, n: 5}. Give prob of picking 3 e.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 126 (c) 0 (d) -5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 6*p**2 - 3*p - 7. Let k be g(-6). Suppose -4*x - 5*m = -7 - 4, 3*x = -3*m + 12. Suppose -5*y + k = -x. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 10:07 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -320 + 333. Calculate the greatest common divisor of 845 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0324*5.6523\nAnswer: -0.18313452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -647673 divided by 113?\nAnswer: -647673\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101010001110 (base 2) to base 15.\nAnswer: -2033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001386 rounded to 7 dps?\nAnswer: 0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 435 divided by 87?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((q*(q*q**(-1\/4))\/q*q*q)\/q)\/q)\/(q\/(q*q\/q**(-1\/6)*q*q)*q))\/(q**(-2\/3)*q**7))**44)**(-2\/153) assuming q is positive.\nAnswer: q**(902\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 168\/(-378) - 4\/(-6). Which is the nearest to 2? (a) r (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(20) + -5 - 1*(sqrt(55)\/((-1*sqrt(11) - sqrt(11)) + sqrt(11)))**2.\nAnswer: -10 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17134, 16753, 16358, 15949, 15526?\n\"Answer: -7*h**2 - 360*h + 17501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**4 + t**3 - 1259694*t + 5526781 with respect to t.\nAnswer: 8*t**3 + 3*t**2 - 1259694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 15 - 19 - 21 = -2*f, d - 32*f + 10 = -29*f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/53 in -2\/11, 9\/4, -3\/182, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d**2 - 10*d + 10. Let j(k) = -k**2 - k + 1. Calculate -2*f(x) + 18*j(x).\nAnswer: -4*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -19. Let x = -21 - -36. Suppose b*z - 47 = 3*c, x + 12 = z - 5*c. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 7*c**2 + 7*c + 3. Let f be i(6). Suppose 4*g - 7*q = -3*q + 28, 3*g + 3*q = f. Suppose p = g*p - 8. Solve b = 6 - p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 3*v + 1. Let q(s) = -3*s**2 - 57*s - 6. Give 4*f(r) + q(r).\nAnswer: r**2 - 45*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -24409114798880 + -2\nAnswer: -24409114798882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 47, -0.5, -25?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m. Let s(p) be the first derivative of -p**3\/2 - 4*p + 7. Let i(o) be the first derivative of s(o). Determine t(i(v)).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 4*n**3 + 24*n**3)*(n - 116 - 171 - 273).\nAnswer: 29*n**4 - 16240*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(220\/20))\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*-1 + (sqrt(252))**2 + 4.\nAnswer: -3*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4139.774 - 4148. Let j = -0.226 - a. What is the second biggest value in -2, 1\/3, j, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 2517120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqc when three letters picked without replacement from ycrdyhq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53854 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**4\/12 - 65*l - 230. Let q(v) be the first derivative of x(v). Let k(o) = 81*o**2 - 4*o. Give k(q(s)).\nAnswer: 81*s**4 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-51))\/(1 - 3\/9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5+-120237292.95\nAnswer: -120237287.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 35*m - 15*m - 20*m - 146*m**2.\nAnswer: -146*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 3*g + w - 31 = 0, -92*w - 131*w + 6695 = 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7173889*p**4 + 5*p**2 - 67580*p - 3 wrt p?\nAnswer: 172173336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 417 - 411. Solve 0 = n*w + 2 + 16 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1734*f**5 - 6664*f**4 + 12374*f**3\/3 + 2320*f**2\/3 + 32*f = 0. Calculate f.\nAnswer: -4\/51, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 6:30 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 6*l**2 + 2*l - 2. Let u be c(-2). Let x(z) = 6*z + 4. Calculate the remainder when x(u) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 450 + -119. Let j = f - 100. Suppose 0 = -10*r + j - 71. What is the remainder when 79 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**5\/40 - 5*u**3\/3 + 5*u**2. Let i(j) be the first derivative of q(j). Let l(t) = 3*t**2. What is i(l(y))?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100113 (base 5) in base 10?\nAnswer: -34408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.053 (b) -0.8 (c) 3.5 (d) -6 (e) 3\/5 (f) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -55 and -1.54 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(72\/(-20))\/2. Suppose 3*c - d = -3*s, 0*s = -3*c + 3*s + 9. Suppose -v + c*v = 4*i - 22, v = -1. Calculate the remainder when 12 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.007 - 1.993. What is the third biggest value in -0.2, -3, y, 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 3187951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 3 - ((-5 - (-2 - 17)) + -17).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -90*l. Let z(s) = s. Determine z(w(r)).\nAnswer: -90*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 16. Let d = 43 - 30. Let j = v - d. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 divided by -842\nAnswer: 59\/842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1806*b - 1797*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -25933859?\nAnswer: -25933862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10942740 by -60.\nAnswer: -182379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3697 + -184833\/50. Find the common denominator of k and -47\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = -8*x - 17. Let z(i) = i + 20. Give z(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*o**2 + 21609\/4 + 147\/2*o.\nAnswer: (o + 147)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k*m**2*s**3 - 29*k*m**2*s**2 - k*m**2*s - 97*k*m*s**3 + 10*k*m*s**2 + 3*k*s**3 - 5*k*s**2 - m**2 + s**3 wrt s.\nAnswer: -6*k*m**2 - 582*k*m + 18*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 396\/10931 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/30*3)\/1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7073\/18 - 3670\/9. Let u = 108807 - 14580213\/134. Calculate the common denominator of u and h.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*(sqrt(228) + 3*sqrt(228)*-2 - sqrt(228)))\/(5*(sqrt(1728) + -1*sqrt(1728)) + sqrt(1728)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -400, -1998, -5522, -11716, -21324, -35090?\nAnswer: -53758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7029*d = 7062*d - 1485. Solve m = 49*i - d*i - 14, -4*m - 5 = i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 165.2 + -110.25. Let m = -55 + o. Which is the second smallest value? (a) -5 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41200774274 minus 0.0724?\nAnswer: -41200774274.0724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -529646.8 rounded to the nearest ten thousand?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 13 = 2*k, 4*k - 133*b = -136*b - 9 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*d - 396*d + 7153*d**3 - 588*d**3.\nAnswer: 6565*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 8232916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*x = -7*b - 225*x - 250, 0 = -5*b - 4*x - 34 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 23\/8 of a kilogram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -484 (base 14) to base 9.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 - 55*y**4 + 57*y**4 - 2*y**3 - 23 - y**2 to w*y**3 + p + j*y**4 + q*y**2 + z*y and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 61 (b) 52.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 267, 208, 147, 84, 19?\n\"Answer: -r**2 - 56*r + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/1)\/(4\/74). Let b = s + 16. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + a - a + 3*a - a - 4*a + 0*a + 2*a + (-3*a + 2*a + 2*a)*(-2 - 4 + 5) + 51*a + 8*a - 19*a)*(-24 - 6*a + 24).\nAnswer: -234*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2788\/5*r + 971618\/5 + 2\/5*r**2.\nAnswer: 2*(r - 697)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence duvl when four letters picked without replacement from {u: 1, l: 1, v: 1, x: 1, s: 1, d: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2969*f - 550. What is r(2)?\nAnswer: -6488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 - (-100)\/16)\/((-2)\/(-256)). Let s = -52 - l. Calculate the remainder when s is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n**4 - 3 + 161*n - 5*n**4 - 244*n + 1 - 404*n as s*n**3 + y*n**4 + u + p*n + i*n**2 and give p.\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -2 + 2. Solve -2*m - 6 = a, -5*c + 0*m - 28 = m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111200 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10857 = 4*l - 7973, -4*q - 4*l + 37688 = 0. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + f + 21, l + 5*f - 6 = 15. Solve 0 = p - 4*n + 3, l*n - 8*n - 16 = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -9, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12*(-7)\/(98\/35). Let x(y) = -387*y + 253. Is x(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-525*f - 97468 + 97468)*(-2 + 3 + 4) to the form h + p*f and give p.\nAnswer: -2625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from maammamm?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6265*d**2 + 3100*d**2 + 3131*d**2.\nAnswer: -34*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*m - 53 + 50 = 153 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 8*j)*(-12 - 3 - 6)*(3 + 3 - 4)*(2 + 2 - 1).\nAnswer: 1008*j","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is -537 smaller than -376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b*h**3*t - 27*b*h**2*t*v**2 - 2*b*h**2*v**2 - 11*b*h**2 + 2*h**3*v wrt t?\nAnswer: -b*h**3 - 27*b*h**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -219585.04 to the nearest one hundred.\nAnswer: -219600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 3*c**2 + 5*c**2)*(1 - 1 - 2*c + 6*c - 4*c - 4*c + (1 + 4 - 6)*(0 - c + 0) + c - c - 2*c + 1 - c - 1 + 4*c + 4*c - 6*c).\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4\/8 + 9*m**3\/4 - 23*m**2\/8 - 117*m + 338 = 0. Calculate m.\nAnswer: -13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/5)\/((-8)\/40). Let x be a*(0 + 0 + 39). Let u = -37 + x. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -8 + 7 - 10 - 6 + 23. Let d(n) = 2*n - n + 0*n + 11. What is 4*d(v) - 7*u(v)?\nAnswer: 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.55 + 25.55. Let x = n - -30. Let y = x - 54.99908. Round y to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 2*a - 3. Let y be d(-3). What is the second derivative of -5*w + y*w - 6*w**4 + w wrt w?\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 36057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 10*d**2 - 13*d + 9. Let t be i(-10). Let y = t + -138. Let b(o) = -o. Let l(w) = 4*w + w**2 - w - 2*w**2 + 1. What is y*l(x) + 4*b(x)?\nAnswer: -x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 181*c + 12 - 59*c - 54*c - 66*c. Give n(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4309 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f16 + 0?\nAnswer: f16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 751426 to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -215.4 + -5.6. Let d = x - -221. What is the third biggest value in -1, -1\/4, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1628 - 151*z + 3252 - 1624.\nAnswer: -151*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99154232 is divided by 138.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**2 + 6442295*a + 26629014.\nAnswer: -4*a + 6442295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -8*w + 3*w. Let h be (w + (-9)\/6)*2. Let y(d) = -48*d**2 + 9*d - 7. Let m(x) = -81*x**2 + 16*x - 12. Let g(n) = 4*m(n) - 7*y(n). What is g(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134 divided by -1\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3291 - 6700 + 3352 + 81*i + 15*i.\nAnswer: 96*i - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttddttdtttd. Give prob of sequence dttd.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37866834 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1.11 (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r - 13*r + 0*r + 10*r - 88*r**3 - 24*r in the form b*r**3 + t + j*r**2 + s*r and give b.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - x + x - 4*x + 2*x - x + (0 - 2 + 7)*(-1 + 1 - 1)*(x + 4*x - 4*x).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**3 + 27*z**3 - 2*z**3 - 4*z**3 + 0*z**3 + 2*z**3 + (-2*z - z + 2*z)*(2*z**2 - z**2 - 2*z**2))*(-z - 1 + 1).\nAnswer: -19*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -377.6 - -378. What is the third biggest value in -0.2, c, 3.55?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/11487 and -29\/4923.\nAnswer: 34461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - -bb216?\nAnswer: bb203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 7:26 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)*1*2)\/(sqrt(55)\/(sqrt(10)\/sqrt(2))))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85.872 - -0.128. Let u = -79 + j. Let p = 0 - 0. Which is smaller: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/10*15\/1. Let a(w) = -590*w - 10. Let i be a(p). Round i to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h**3 - 9*h - 24. What is w(-2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.27 and 0.2?\nAnswer: -0.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 51975943 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 + 112012001?\nAnswer: 112012121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5.35, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*u**4 - 60*u**3 - 69*u**2 + 18*u.\nAnswer: 3*u*(u - 3)*(u + 1)*(9*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 223 * -0.2.\nAnswer: -44.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33784 and 50676.\nAnswer: 101352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a**4 + 5*a**4 + 8*a**4 + (115*a - 230*a + 222*a)*(0*a**3 - 3*a**3 + a**3) to the form b*a**2 + j*a + u + m*a**4 + h*a**3 and give m.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**4 - 1020*j**3 + 315714*j**2 + 109083036*j + 537396705 = 0. What is j?\nAnswer: -331, -5, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/3193945 + 252314203\/11900639070. Calculate the common denominator of -22\/5 and s.\nAnswer: 18630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 9*l**2 + l + 9. Let c be r(-9). Let i = c - -2. Let s = i + 1. Solve s*t = -t + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 376*g + 98*g - 110*g + 2184 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/10 - 18\/(-4). Solve -h*p + 5*l = 27, -10 = 3*p - l + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from dglglldg?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*p + 326*p - 37424 = -29826 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n**2 + 52*n**3 - 24*n**3 + 36 - 35*n**3 + 9*n**3 to m + z*n**2 + w*n**3 + r*n and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + (sqrt(2299) - (sqrt(2299) + 4)))*-2)**2.\nAnswer: -32*sqrt(19) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*h - 46 - 8, 4*q - 34 = 2*h. Let o be -1 - (h\/5)\/((-12)\/(-15)). Is o greater than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 12*i + 6. Let k be r(-6). Calculate the lowest common multiple of (-6 - -3)\/(k\/(-4)) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 10880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w + 3*w**3 + 6*w**2 + w**3 - 4*w**3 - w**3. Let g = -56 + 61. Let m be c(g). Let v(f) = f**3 + 5*f**2 + 4. Calculate v(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*sqrt(1539)*-2 + 5*(sqrt(1539) - (0 + sqrt(1539))))**2.\nAnswer: 55403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3060\/13 in 1.33, 3\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 5*p + 126, 40*p = -19*p - 12*p - 2*n - 55 - 29 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = -6*x. Suppose -a + 3*t = 2*a - 39, 0 = -t - x. 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 the derivative of 26450815*d**3 - 31616489?\nAnswer: 79352445*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y = -3*b - 45, 2*y + 5*b - 49 = 0. Let k = 20 - y. Solve q = 3*q + k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (81\/18 + -4)*0\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28911290 to the nearest one hundred thousand.\nAnswer: 28900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 378 and 143421642?\nAnswer: 430264926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0*o**4 - 1\/6*o**3 + 8*o + 0 + 7\/2*o**2 + 1\/20*o**5. Suppose 0 = 2*m + 2*m. Give t(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctsc when four letters picked without replacement from {k: 1, s: 1, t: 2, g: 1, c: 2, r: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 621133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 225, -1\/12, -0.3, 5 in ascending order.\nAnswer: -0.3, -1\/12, 5, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/129 in 134.2, 3\/4, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 2:31 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 85b8 - a865?\nAnswer: -227a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -6. Let g = -2.2 + 2. Which is the closest to g? (a) o (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.4 (b) 0.5 (c) -5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4281 is divided by 238?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8153362 is divided by 655.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 10. Suppose 7*i + 50 + 48 = 0. Calculate the remainder when 22 is divided by 15\/((-18)\/i - y\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*y + 4*f + 349, -y - 992*f = -493*f - 501*f - 57 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*(y*(y**7\/y)\/y*y*y)\/y*y*(y\/y**(-2\/15))\/y*y*y**(-3\/8)*y\/y**(-4\/9))\/((y*y*y**(2\/7)*y)\/y**(-6)*y**(-1)*y*y\/y**(3\/2)*y) assuming y is positive.\nAnswer: y**(8611\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + k + 1. Let t(f) = -2*f**3 - 4*f**2 - 4*f - 4. Determine -4*a(r) - t(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*p + 10, 2*p = 3*h - 2*h. Suppose g - 123 = 3*l + h*l, 4*g + 3*l = 561. What are the prime factors of g?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*w = -y + 17, y + 8 = 5*w. What is the remainder when 5 is divided by -2 + (6 - 1) - (1 + y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -6. Which is smaller: 41 or d?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -905 + 905 - 7*o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 468973088?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bc947 (base 13) to base 12.\nAnswer: -145b97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsss when four letters picked without replacement from xxszcssgnccn?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 4.11?\nAnswer: -4.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -87655, -88657, -89633, -90571, -91459, -92285?\n\"Answer: 2*f**3 + f**2 - 1019*f - 86639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 + 15*u**2 + 20*u - 15. Let z(n) = -n**3 - n**2 + 1. Let a(k) = x(k) - 3*z(k). What is the remainder when a(-16) is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150167, -300336, -450507, -600680?\nAnswer: -750855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 25*w**2 + 101*w - 24. Let i be t(21). Calculate the greatest common divisor of i and 222.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 9*x**2 - 11*x - 7. Let y be b(-10). Suppose 2*d + 2*v = 8, y*d + v = -2*d + 4. Solve d = 2*f + 2*i + 4, -f + 26 = -5*f + 2*i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.4086394 to 1 dp.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2570803?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8311140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 60599065771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132396 and 57152436?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-10))\/((-6)\/15). Suppose -2*v + 25 = -5*r, 44*r - 15 = 2*v + 47*r. Solve -c + 1\/8*i**2 + v*i = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {s: 4, o: 4, n: 12}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(297) + sqrt(33)))\/sqrt(11).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*p + 4370 = -45*p + 3051 - 5027 for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269, 535, 799, 1061, 1321?\nAnswer: 1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*w - w = 480, w - 238 = -2*a. Suppose -4*l + a = -3*l. Calculate the remainder when l is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 552 = -2*f, 15*r + 1078 = 4*f + 10*r. Suppose 265*g + 5845 = f*g. List the prime factors of g.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -1\/75*c**5 - 1\/60*c**6 + 2\/15*c**3 + 1\/12*c**4 + 0 + 0*c + 2*c**2. Let g(h) = 0. What is h?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -214, -442, -762?\nAnswer: -1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -31312?\nAnswer: -31313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 9\/((-12)\/4). Suppose o + o = i. Solve f + 0*f = o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/(-30) + 2\/5. Let c be -5 + -4 + 8 - 8\/(-10). What is the biggest value in c, -3, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 8*v - 12. Let s be n(3). Let r be (0 - s\/(-35)) + (-11)\/35. Which is the third biggest value? (a) r (b) -0.4 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(sqrt(2448) + 0) + sqrt(2448)*1*2)**2 + -3.\nAnswer: 39160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 141*q**2 + 59 - 4 + 3*q + 138*q**2 to the form t*q + u*q**2 + b and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 18*n - 2. Is 5 a factor of d(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 4, j: 2, f: 3}. Give prob of sequence fj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77\/570 + -1\/570. Which is the nearest to 0? (a) -0.006 (b) -2\/11 (c) -0.2 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6160 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*q + 3, 0 = -m + 5*q - 17 + 6. Suppose 86 = m*r + 70. Solve -5*h + r = -i + 12, 3*i - 4*h = 13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + 1 + sqrt(3)).\nAnswer: 6*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108336?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.0924 + -0.1114. Let g = 23 - o. Let b = g - -9.481. Round b to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -605062043 + -179.\nAnswer: -605062222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -19 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 336\/9)\/(-1). Let a = -36 - v. Factor 0*q**2 + 0 + 0*q**4 - 2\/3*q**3 + a*q**5 + 1\/3*q.\nAnswer: q*(q - 1)**2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-34)\/(-16) - -1. Let k be (0 + -1)*20\/(-90). What is the closest to -2 in 2, k, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*28*26\/(-819)*9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4 - (-55959)\/(-105430).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3.678*-7\nAnswer: -25.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 41\/(-140671)*(-7349479)\/4170. Let z = 1\/97995 + l. Find the common denominator of 29\/6 and z.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1620656193?\nAnswer: 3, 13, 41555287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -104? (a) -2\/5 (b) 2\/7 (c) -2\/9 (d) -15 (e) 1122\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -4. Let t = g + -2.5. Let l = -359 + 3955\/11. Which is the nearest to 1? (a) l (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 157 + 20*g**2 + 2*g**2 - 17 - 35.\nAnswer: 22*g**2 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 27 + 9 = 0. Let l be w\/(-3)*(1 + 0). Let g be (125\/l)\/((-5)\/(-600)). What is g rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41\/7 = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 695 a factor of 75956550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*z**4 - 68*z**2 + 68*z**2)*(-5 + 1 + 0).\nAnswer: 60*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1283894 - 3838843101\/2990. What is the common denominator of y and 37\/20?\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 210112101?\nAnswer: 210112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -52640232 divided by 24?\nAnswer: -2193343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 450 = -12*r. Let g = r + 71. Let h be (-4)\/28 + (-150)\/(-21). Calculate the greatest common factor of h and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814314429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -425, -849, -1273?\nAnswer: -1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4645198?\nAnswer: 2, 47, 49417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -192*a**2 - 5*a - 49. Let s(m) = -96*m**2 - 2*m - 25. Let c(p) = -6*h(p) + 11*s(p). What is the units digit of c(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 1681 + 21*v**2 - 39*v**2.\nAnswer: -18*v**2 - 1692","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgfffffffffvfff. What is prob of sequence vd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869415601?\nAnswer: 14951, 58151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87 + 135. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.34625 - 2.33. What is g rounded to 4 dps?\nAnswer: 0.0163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -5*a + 219. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -36. Let y = -105 - -355. Suppose 2*t - l*t = -y. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/(-7290))\/(50\/(-120))?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(63))\/(sqrt(70)\/sqrt(7)*1) + -3.\nAnswer: -3 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (((-141)\/60)\/((-1)\/12))\/((-7)\/(-245))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 16. Suppose -2*t = 3*t + z. What is the units digit of (6\/(-9))\/(2\/t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*u**3 + 0 + 0*u - 2\/3*u**2 = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13283168 and 604.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.71 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -28, -573, 0 in decreasing order.\nAnswer: 0, -1, -28, -573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**2 + 4*z**2 + 12 - 11*z - 7*z**2. Let j be t(10). Let b(s) = j*s**2 + 4*s**2 - 4*s**2 - 1 + 2*s - s**2. Determine b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4013 + -346.\nAnswer: -4359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r - r - 3*r)*(5 + 2 - 6) to u + i*r and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*w, 4*n + 1453 = 9*n + w. Let i = n + -305. Is -16 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31, -40, -49, -58, -67?\n\"Answer: -9*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*v - 5*j + 16, 2*j = v + 8. Let k be 10\/(-5)*(v + -1). Solve -5*u - 13 = s, 2*u + k*s = 4*u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 12*r**2 - 14*r + 12. Let o be i(13). Let n be (-6)\/4*(-2)\/(-5). What is the third biggest value in n, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123675770 is divided by 10306314.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -70929*w - 37851 wrt w.\nAnswer: -70929","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3846*z - 2558*z + 1073 - 257233 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 59 - (69 - (-1271)\/(-124))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167 by 2.\nAnswer: 167\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 19 (b) 1 (c) 0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 180*z**3 - 2*z**2 + z. Is m(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*sqrt(833).\nAnswer: -1 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p + 98*p - 254 = -42*p + 4347 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -377 + 465. Does 44 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21311 + 1244?\nAnswer: 23110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sststsmstssmt. Give prob of sequence mtt.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 6*q**2 - 8*q - 12. What is v(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t**3 + 3*t**2 - 4*t + 5. Let k(p) = p**3. Let n(b) = -c(b) + 6*k(b). Suppose 488*x - 507*x - 95 = 0. Calculate n(x).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*c = -88*c + 27. Sort c, -8, 5 in increasing order.\nAnswer: -8, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -161\/4 + 40. Let t be 1\/(-5)*(-10)\/3. Which is bigger: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125380 is divided by 3918.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1299282*l**2\/7 + 866548*l\/7 - 240\/7.\nAnswer: -2*(3*l - 2)*(216547*l - 60)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9971552?\nAnswer: 2, 317, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*m = 10. Let x(y) = y**2 - 2*y + 1. Let g be x(3). Factor -68*b**2 - m*b**4 - b**4 - 56*b**3 - 24*b + 3*b**g - 9*b**4.\nAnswer: -4*b*(b + 1)*(b + 3)*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**5 + 48*t**4 - 176*t**3 + 152*t**2 + 180*t - 200 = 0.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 1. Let v(q) be the first derivative of 7*q**2\/2 + 3*q + 136. Give 6*g(c) - v(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*o = 105*o. Factor 0*g + 2\/13*g**3 + o*g**2 + 2\/13*g**5 - 4\/13*g**4 + 0.\nAnswer: 2*g**3*(g - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -9) + -4 + 4 + 0. Let u(t) = t + 1. Let m be u(0). Suppose 2*i = m + q. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*f = 2, -5 = 5*r - 2*f - 3*f. What is the nearest to 323 in -0.1, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeee. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 29213.9.\nAnswer: 1460.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x + 116. Let o be c(-23). Let d be (1 - 3)\/(-1*18\/o). Let s = -8 + 13. Sort d, 2, -2, s.\nAnswer: d, -2, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4433534 (base 6) in base 11?\nAnswer: -142162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169266 divided by -2.\nAnswer: 84633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64870011 and 3007.\nAnswer: 3007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 311548241?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 21. Let z(n) = n**2 + 4*n. Let d be z(-4). Sort -3, t, d in descending order.\nAnswer: d, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4606, -9205, -13804, -18403, -23002, -27601?\nAnswer: -32200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 6. Let n be b(6). Let d(r) be the third derivative of 0*r + 5\/24*r**4 - 4*r**2 + n*r**3 + 0. Let c(t) = -t. Give d(c(p)).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -13 + 11 + 19 + -1. Suppose -5*c + b = -9. Let u(h) = 2*h - 9. Let l be u(c). Solve i + 4 = -l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a - 2876 = -2546 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10.50025 centuries?\nAnswer: 12600.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 145125\/74 = 1961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 12*z + 5. Let p be o(-12). Let y(w) be the third derivative of -w**4\/24 - 363*w**2. What is y(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 != -10\/77811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 16. Suppose 1 = z*w - 24. Suppose i = 2*n + 69 - 163, -240 = -5*n + w*i. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 6, -2*s + 2 = -0*c + c. Let n be ((-55)\/(-20) + -2)*c. Is n bigger than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*x + 317*x = -45*x - 5540 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/28*14\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -457, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 37.6296 and -1?\nAnswer: 38.6296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 82 = -21*k. Solve 2*v - 7*v + 6 = -2*a, -2*v = k*a + 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r + 315 + 0*r - 19*r**2 - 318 + 0*r to l*r**2 + s + j*r and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 235, 5, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1 - 4 = -5*n, 3*n + 7 = -z. Solve -5*r = -3*o - 19, -z*r + 34 = o + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/(sqrt(7)*-2))\/(sqrt(252)\/sqrt(4)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 - 268*m**2 + 3195*m - 50. Give t(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + 463347.\nAnswer: 463354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 297?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 470, 540, 694, 974, 1422, 2080, 2990?\n\"Answer: 7*j**3 + 21*j + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1045 and 475?\nAnswer: 5225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 378, 759, 1140, 1521, 1902?\n\"Answer: 381*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 697 + -718.06. Let j = l + 21. Round j to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3543, -14153, -31829, -56571, -88379, -127253?\nAnswer: -173193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 78*o**2\/11 - 14044*o\/11 + 720\/11 = 0.\nAnswer: 2\/39, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 2*q**2 - 27*q**2 - 2*q)*(0 + 0 - 2*q).\nAnswer: 44*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210965275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6024 - -120539\/20. What is the common denominator of j and (85\/6)\/1 - 3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(19) + -3 + 5 + 0 + sqrt(19) + (sqrt(19) - 2*sqrt(19)*-5))**2.\nAnswer: -56*sqrt(19) + 3728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -13*p + 1. Let a be t(-3). Suppose 9*n = n + a. Suppose g = -3*v + 15, -16 = -5*v - n*g + 9. Solve -26 = -4*m - 3*k, 0 = m - 3*k + v*k - 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43.8805 * 13.\nAnswer: -570.4465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -0*v + 11*v - 3864. Let q = 21 - -7. What is the remainder when v is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180979954741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3)*g**(-1\/7))\/(g\/g**2*g**(2\/11)\/g) assuming g is positive.\nAnswer: g**(-25\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12360 divided by 6\nAnswer: -2060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 + r**2 + r. Let w be v(-1). Suppose -w*h + 5*h - 102 = 0. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 774704, 1549408, 2324112?\nAnswer: 3098816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 871 = 4*z - 393. Suppose 2*c - z = -5*y - 57, -2*y - 691 = -5*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 - (5 - 6 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-2) - (64 + -61). Sort 2, -133, b in descending order.\nAnswer: 2, b, -133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -43 - 97. Let n = -14 - b. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 + 83. Suppose -2*v - 12*c = -t*c - 738, -5*v + 1800 = -4*c. Suppose -6*f + v = 94. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 8*u**2 + 9*u - 62. What is the least common multiple of 90 and d(-10)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 1)*(-4 + 2 - 3)*(0 + 2 - 1)*(q**4 + 18*q**4 - 10*q**4) to the form o*q**4 + k*q**3 + d*q + b*q**2 + u and give o.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -28 and 1038285?\nAnswer: 1038313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 1422.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55439, 110872, 166305, 221738, 277171, 332604?\n\"Answer: 55433*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2778 is divided by 70?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1 + (-2 + 4 - 4)*(2 - 3 + 2))*(-3 - 1 + 5)*(-2*i + i + 2*i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**2\/2 + 2*m + 11. Give f(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 4*z = -5, g + z = -g + 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:25 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1162512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2. Suppose 0 = 2*i + i - 9. Let n(g) = -3*g - i*g + 2*g. Determine n(u(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w + 6. Let h be i(4). Let k be (-2 + 1)*(-6)\/h. Let p(x) = x + 5. What are the prime factors of p(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/9 + 40*w\/9 - 952\/9.\nAnswer: 2*(w - 14)*(w + 34)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(75)*-2 + -5 + (sqrt(75) + sqrt(75) + 1)*4 + sqrt(75))**2.\nAnswer: -70*sqrt(3) + 3677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 14*o + 106. Let d(h) = 7*h + 46. Let x(u) = -7*d(u) + 3*f(u). Suppose 11 = -m + 3*r, -5*m - r - 21 = r. What is x(m)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(9\/5))**(1\/25)\/(m**(3\/14)*((m\/m**(-1\/18))\/m)\/m) assuming m is positive.\nAnswer: m**(6632\/7875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -p + 5, -p + 106*f - 109*f = -11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16402, 16062, 15722, 15382?\nAnswer: 15042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6728058797.\nAnswer: 73, 92165189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 250309\/810084 - 2\/11913. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t. Let w(y) be the first derivative of -5*y**3\/3 - 5. Calculate w(k(h)).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22452417*5\nAnswer: 112262085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4841*b - 927 = 71688 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*(sqrt(66) - -1*sqrt(66)) - ((sqrt(66) - (1*sqrt(66) - sqrt(66)))*-3 - sqrt(66)))\/(sqrt(48)\/(2*sqrt(128))*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 643 + -316. Let q = i - 127. Let u = -131 + q. Is u a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 158)*(-9 + 8). Which is bigger: -11 or i?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 984052 and 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 p, and 2 e when four letters picked without replacement from ecepe?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 6 = 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/((12\/9)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15)\/(-42))\/((-160)\/(-384)))\/((-8)\/(-392))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 23*q - 31. Let d = -12 - -26. Does 31 divide x(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209214291 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 v when three letters picked without replacement from ttvnntxvttvxt?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*((0 + sqrt(76))*-6 - 1*(sqrt(19) + sqrt(76)\/sqrt(4) + 4 - sqrt(19))))**2.\nAnswer: -6454 - 208*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h**2 + 1288*h - 2299. What is a(0)?\nAnswer: -2299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/11 + (-79)\/(-11). Let k = -10 + q. Let w(d) = -4*d. Is 11 a factor of w(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 949536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + (-21)\/(-9))*-3. Suppose t + 166 - 555 = -u, 3*u + 788 = g*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 15*j**4\/4 + j**2\/2 + j + 3. Let s be k(-1). Let a = s - -25. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1421\/(-116) - 9\/12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21982350*m + 731169 wrt m?\nAnswer: -21982350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -377980, -377969, -377958?\nAnswer: -377947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 12:41 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 + 6*o - 6*o + (-3*o + 3*o + o)*(-3 + 3 + 2*o) - 3*o**2 + 2*o**2 + 3*o**2 - 4.\nAnswer: o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/88506 and -97\/12.\nAnswer: 177012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/5))**(2\/69)\/(g**16*g\/g**(-1\/14)) assuming g is positive.\nAnswer: g**(-82343\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/(-12) + (-41)\/(-12) and ((-4816)\/256 - -19)*262\/(-36).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - s - s + 12 = 0, 0 = -5*d + 2*s. Suppose -2*f = -2*q + 2*f + 22, -3*q + 9 = d*f. Sort 1, q, -3 in descending order.\nAnswer: q, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 - -43622?\nAnswer: 43643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11036 - 7818?\nAnswer: 3218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 2*r**5\/75 + r**4\/10 + 2*r**3\/15 + r**2\/15 - 29. Factor m(s).\nAnswer: 2*s*(s + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 95 (b) -3 (c) 24.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = a + 48. Let k be a\/12 + 22\/4. Suppose -5*t = 15, k*t - 8 = r - 26. Solve r*d + 10 = 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*y**3 - 7*y**2 + 7*y**2)*(1 + 24*y**2 + 28*y**2 - 7*y**2).\nAnswer: 495*y**5 + 11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(52) + sqrt(325)*2)**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhtthththttt. Give prob of picking 2 t.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/63)\/(40\/28)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**5\/15 + 13*u**4\/3 + 58*u**3 - 693*u**2. What is a in p(a) = 0?\nAnswer: -3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12087, 25347, 38601, 51843, 65067, 78267, 91437, 104571?\nAnswer: 117663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 563.9609 nanograms in milligrams?\nAnswer: 0.0005639609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - (-3 - 3) - 6 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (79 - 35) + -27 - (1 - 118 - -9)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20233031212 (base 4) to base 14\nAnswer: -438a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3624430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2 - 13. Let g = -5 - -7. Is 6 a factor of g\/(-6) - 40\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4644642.7 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**4 + 22*g**3 + 108*g**2 + 216*g + 4. Let o(t) = -2*t**4 + 21*t**3 + 108*t**2 + 216*t + 3. Let f(y) = 4*o(y) - 3*z(y). Factor f(c).\nAnswer: c*(c + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27299 divided by 1\nAnswer: -27299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 8*a**2 + 14*a - 7. Let r be w(6). Let h(x) = -x**3 + 3*x**2 + 2*x**2 + 1 - 3*x + x**2. Determine h(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = p + 2*p - 24, -2*l = 2. Let m(s) = -4*s**2 + 3*s**2 + 38 + 8*s - 47. Let a be m(6). Solve -a*j - 6 - p = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44 and 116819.28.\nAnswer: 5140048.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - w + 1. Let i(s) be the second derivative of s**5\/20 - s**4\/12 - s**3\/3 + s**2 + 3*s. Determine -i(q) + 2*o(q).\nAnswer: -q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 73072.1 to the nearest 1000.\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 3, -7.2865 in decreasing order.\nAnswer: 3, -3\/5, -7.2865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14953742?\nAnswer: 2, 113, 127, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -31560.404 rounded to the nearest 10?\nAnswer: -31560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 w, and 2 m when four letters picked without replacement from mjjwjjmmwwwomjm.\nAnswer: 40\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17495450 and 3626?\nAnswer: 17495450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (-16 - -4)) + -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0283261 to 5 dps.\nAnswer: -0.02833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*m + 873 = -143*m. Which is smaller: -96 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-four fifths of a milligram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 163853 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16848710 is divided by 24001.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 474241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -178472000 rounded to the nearest one hundred thousand?\nAnswer: -178500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*s + 1\/3*s**2 + 192.\nAnswer: (s - 24)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 28 - 175*x**2 - 52.\nAnswer: -175*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 429801 + -12562.\nAnswer: 417239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 224338 + 0.2\nAnswer: 224338.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27612 is divided by 1839?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2 + 408*w - 7. Let g(k) = 16*k. Calculate v(g(z)).\nAnswer: 1280*z**2 + 6528*z - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 5 - -8 - (2 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**5\/3 + 1412*s**4\/3 - 18100*s**3\/3 - 99244*s**2 - 220632*s + 325440 = 0 for s.\nAnswer: -6, -5, 1, 24, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9583188 is divided by 2060.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/54*4)\/(1\/1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 21016, -2\/19, -0.1, 2 in ascending order.\nAnswer: -2\/19, -0.1, 2, 21016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + -1. Let s = j + -0.3. Is s greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1975.28572 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 20*j + 75. Suppose -16*g = -20*g - 32. Let b be w(g). Which is bigger: 42 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8035 - 7960. Calculate the greatest common factor of i and 1035.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y = 18*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 1:44 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 d, and 2 f when four letters picked without replacement from vvdffvdvddvfvdfvvif.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -282 greater than -289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 62*d**2 - 178*d + 35. Determine q(59).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(((h**(1\/3)\/h)\/h)\/h))\/h)\/h*h)\/h**0*(h**0)**14 assuming h is positive.\nAnswer: h**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40.5 - 40. What is the second smallest value in 5, c, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0038 and -20.\nAnswer: -20.0038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5106903*i**6 - 22455825*i**2.\nAnswer: 612828360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 5. Let p(j) = -12*j**2 - 3. Let n(c) = -5*c**2 - 1. Let i(o) = 14*n(o) - 6*p(o). What is -5*i(d) - 4*v(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mimmmaiiiimmmiai. What is prob of picking 1 i, 1 a, and 1 m?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*a = 2, 0 = -3*z - 2*a + 1 - 10. Let g be -3*3\/(-6) + z. Suppose -2*b = -3*b - 5. What is the second smallest value in b, -3\/2, g?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -46*l**2 + 5 + 1 - 5 + 54*l**2 - 44*l**2. Let t(v) = -5*v**2. Calculate t(u(z)).\nAnswer: -6480*z**4 + 360*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 371068 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4401860026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 76\/(-114)*(-17 + 2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/(sqrt(16) - sqrt(4)))\/sqrt(4).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18696 (base 13) to base 2.\nAnswer: -1011100010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 23*n**3\/3 - 5*n**2 + 19. What is the second derivative of j(d) wrt d?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 divided by -12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*q - 676 = 0, 0*w - 4*w - 680 = 5*q. Let k be (-4)\/5 - 957\/w. Put 1, 3, 4, k in ascending order.\nAnswer: 1, 3, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p = -p - 163183 + 596564. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a day in minutes?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -2*o**3\/3 + 5*o**2\/2 + o + 3. Let q(l) = 4*l**2 - 9*l - 2. Determine 4*q(k) + 7*v(k).\nAnswer: 2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512763230 to the power of 1\/3, to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5777069518.\nAnswer: 2, 11, 37, 569, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 13 = 3*g. Let j be (-1)\/g*3*1. Suppose 4*s - 5*s = -4*f, -5*f + 5 = 0. Put s, j, -3 in ascending order.\nAnswer: -3, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwkwkwkwkkwww. Give prob of sequence ww.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-48)\/(-36)*9\/6. Suppose -5*q + 4*q = 0, -3*d = -u*q + 267. Let n = d - -198. List the prime factors of n.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -7, 20, 79, 182, 341, 568?\nAnswer: 875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -175*y**2 + 370*y - 40.\nAnswer: -5*(y - 2)*(35*y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.443 + 0.131. Let n = 0.312 + q. What is the nearest to -2 in 0.1, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 - -65. Let p = 0 + 14. Suppose -i - j = -p. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-11)\/231)\/((-11)\/(-792)*-30)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82409 + -46222. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6544 (base 7) in base 3?\nAnswer: -10012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*w**3 - 3 + 0*w**2 + 2*w - 3*w**2 + 2*w**4 - w + 10*w**3 to the form k + c*w + x*w**4 + o*w**2 + f*w**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4895 = -126*v - 5399 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -96?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - -28 - (16 - (-14 + 13)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 35 + (-6 - 2 - -4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -m - 0. Factor 5*u + 0*u - u - 2*u - u**m.\nAnswer: -u*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61.93 - 0.07. Let o = m - -61.85. What is the biggest value in -1\/5, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 161.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18745516 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 4:34 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*q + 474 - 2963 = 0 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 + 3)*(-2*x + 95*x + 132*x) in the form t + k*x and give k.\nAnswer: 2025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-147)*-7*357\/34.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30048, 60091, 90120, 120129, 150112?\n\"Answer: -k**3 - k**2 + 30053*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110 (base 3) in base 9?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3611c (base 13) to base 15\nAnswer: -1e53e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113158798 or 113158799?\nAnswer: 113158799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**30\/(z\/((z**27*z)\/z)) assuming z is positive.\nAnswer: z**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14879?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5 + 21*w**4 + 45*w**3 + 15*w**2 - 48*w - 36 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516596571 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20b - -169?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**5\/3 - 236*o**4\/3 + 7964*o**3\/3 - 80656*o**2\/3 + 95458*o - 71148 = 0?\nAnswer: -147, 1, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.4 + -19.75902.\nAnswer: -16.35902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48382 = 15*b - 2948 - 38910. Does 32 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okoykoysxykuxyus. Give prob of picking 1 u, 2 x, and 1 k.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 24*s**2 + 10. Let w be b(24). Let z(c) = c + 17. List the prime factors of z(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o*o*o\/o**(-1\/6)*o)\/o)\/o)\/o)\/o*o**(-5)*o**(-2\/7)*o**(2\/7)*o)\/((o*o**2)**(-11\/2)*(o\/(o*o**(2\/3)))\/(o**(3\/5)*o)) assuming o is positive.\nAnswer: o**(224\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 11 - -1 - (4 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14c (base 16) to base 5.\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2184*q. Let m(o) = -2*o. Determine w(m(t)).\nAnswer: -4368*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4+123520333640\nAnswer: 123520333644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(4719) - (sqrt(4719) - (5*sqrt(4719)*-1 + sqrt(4719)))) + sqrt(4719) - -1*sqrt(4719)*-4)\/(sqrt(135)\/(-2*sqrt(605))).\nAnswer: 1 + 1694*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 b when three letters picked without replacement from {b: 11, v: 5}.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 4*v = -t + 5, -2*t + 10 = 3*v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 45 - 1 = 2*j, -17 = -3*z - 2*j. Let y(r) = -32*r - 3. Let x be y(-6). What is the greatest common factor of x and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.15888 + 0.15888. What is the closest to -0.97 in -5, a, -4\/7, -2\/9?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1414 and 1616?\nAnswer: 11312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 56436814*z. Let f(s) = 2*s. What is o(f(d))?\nAnswer: 112873628*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 468*d + 208*d + 236*d)*(1 - 1 + d) in the form j*d**2 + v + s*d and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 14 - (5 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 + 57*z**3 - 34*z**3 - 15*z**3 - 44*z**3.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -980*n - 5 = -975*n + 2*p, -22 = -2*n + 4*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + 0.2. Let y be (-6)\/(-15) + (-12)\/(-20). Let c = 844 - 3377\/4. What is the nearest to i in 3, y, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3186067 greater than or equal to 3186067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 23 + 5 + 2*k)*(-77*k**2 + 5*k**4 + 6 + 77*k**2).\nAnswer: 10*k**5 - 50*k**4 + 12*k - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-58))\/(28\/(-142)). Let d = 12\/29 + u. Let s = 0 + 0.1. What is the third smallest value in s, d, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/(234\/(-135))*(-32)\/3. What is the highest common factor of 15 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**5 - 4*y**5 + 2*y**5 + (-y + 2*y - 2*y)*(2*y**2 + 3*y**4 - 2*y**2) + y**5 - y**5 + y**5.\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 647*g - 650*g + 9. Let x(m) be the second derivative of 4*m - 5\/3*m**4 + 25\/6*m**g - 5\/2*m**2 + 0. Factor x(q).\nAnswer: -5*(q - 1)*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 998 a factor of 85489678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2896188 by -1.\nAnswer: 2896188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 0.0987.\nAnswer: -0.3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27691 rounded to 2 decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*((y\/y**(8\/13))\/y)\/y)\/y**(-19\/3) assuming y is positive.\nAnswer: y**(223\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37111323 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + 0 + sqrt(2299).\nAnswer: 7 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 16193*s + 2710*s + 9.\nAnswer: 18903*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 72, 416, -1, -9 in decreasing order.\nAnswer: 416, 72, 2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -399*u - 5453. Give o(-12).\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1747745282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a**3 + 3*a**2 + 7*a + 1. Let x(b) = 7*b**3 + 3*b**2 + 6*b + 1. Give -5*s(p) + 6*x(p).\nAnswer: 2*p**3 + 3*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -542465, -542318, -542171?\nAnswer: -542024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/((-108)\/(-12))*9\/(-225).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356 (base 12) to base 8.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -72. Let f be 1\/(13 + -14 - (-2 + k)). Let t be (1 - 38\/42)*3. Which is the second smallest value? (a) -1 (b) t (c) 2\/9 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 16209.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6920177?\nAnswer: 11, 631, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-24))\/((-15)\/(-6) + -3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25523 - -125?\nAnswer: 25648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 110941, 110977, 111053, 111181, 111373, 111641, 111997?\n\"Answer: 2*z**3 + 8*z**2 - 2*z + 110933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**3 + 174*j**2 - 35*j + 5. Let y be v(-35). Put y, -5, -0.4 in ascending order.\nAnswer: -5, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + 533*g**2 + 8249*g - 251. What is y(-250)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16472 + -15836. What is the greatest common factor of f and 852?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1304 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(216)\/sqrt(2) + (sqrt(768) + 0)**2.\nAnswer: 6*sqrt(3) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 261749 to the power of 1\/2, to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 7:03 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (5 - 3)) + -35 + 27\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11100 - 121222120210?\nAnswer: -121222202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1129 * -15100.\nAnswer: 17047900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a week in hours?\nAnswer: 1134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11, -3\/10, 56, 5, -3, 4\/31?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -2210213?\nAnswer: -2210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52.3 + 52. What is the fourth biggest value in 113, 0, s, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39.39 - -39.29. Let t(i) = i**2 + 16*i + 4. Let h be t(-16). What is the closest to -0.1 in 0.1, r, 20, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.867 + 0.057. Let y = -7 - q. Round y to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 4*x**2 - 3*x + 4. Let y be q(-3). Let l be (y\/10)\/(2\/570). Let p = 193 - l. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 54 + 30 = 5*p, -3*p - 3*w + 60 = 0. Let o = 18 - p. Suppose -1 = o*f - 3, -5*f = -5*x + 5. Is x < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/1093?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**5\/20 - 5*x**4\/12 - x**3\/3 + 2*x**2 - x. Let c be (25\/10 - 5)*(-16)\/(-10). Let i be 3\/c + (-138)\/(-24). Give j(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*l = 5*n - 230, 163 = 4*n - l. What is the remainder when n is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y - 4. Let s be d(3). Suppose 0 = 4*a + 4*q - 104, s*a - 7*a + 4*q + 76 = 0. Suppose c + a = 6*c. Calculate the greatest common factor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -7. Let w be a\/6 - (-441)\/54. Solve 4*q - w = 5*j, 4*j + 3*q - 4*q = -13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193049651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -12*y**2 - 6*y**2 + 16*y**2. Let p(w) = -100*w. Give l(p(j)).\nAnswer: -20000*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23132690, 23132683, 23132666, 23132633, 23132578?\n\"Answer: -x**3 + x**2 - 3*x + 23132693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**5\/15 + 5*u**4\/24 + u**3\/6 + 19*u**2. Factor h(i).\nAnswer: (i + 1)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/6*(-279)\/12. Let k = 65 - c. Suppose -k*m + 5 = -10. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67045314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + p = -31, 1173*n - 3*p + 40 = 2346*n - 1169*n - 11 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2\/9 (c) -0.2 (d) 1685\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714448?\nAnswer: 2, 83, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((1*(-1 + sqrt(153)))**2 - sqrt(153)) + sqrt(153))*-5.\nAnswer: -770 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 5*c**3 + 21*c - 51. Let o(r) = -3*r**2 - 4. What is 21*o(b) + 4*y(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 6:31 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61 or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3771 and (-1 + 13 - (83 + -77)) + 3.\nAnswer: 3771","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -26*a + 312. What is i(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/695424 and 95\/86928.\nAnswer: 695424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 3582810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 15*w = 600. Let h = 184 - 34. Let q = w + h. 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 ten thousands digit of 154069549?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.36844 and 46.\nAnswer: 46.36844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - -3 - 6 - (4 + 0). Let d(y) = 0 - 1 - y - 2. What is the least common multiple of 10 and d(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + u - 4*u + (-1 + 4 - 1)*(-2*u - u + u) - u + 0*u + 4*u + u + 8 - 40 + 21.\nAnswer: -3*u - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*r + 20 = -3*u, -2*u - 2*r = 20. Let l(s) = s**2 + 11*s + 13. Let q be l(u). Suppose v = -1 + 5. Solve 0 = v*j - j + q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3612 + 3611.9. Let f = 0.1 + 0.1. What is the nearest to s in f, -0.2, 3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 39. Let q = -1254 - -1329. What is the greatest common divisor of i and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2 - 13*a - 5 + a**3 - 2 to the form i*a**3 + j + y*a**2 + z*a and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, g: 7}. Give prob of picking 3 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3908 + 1?\nAnswer: 3909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/45)\/(a\/(a*a**(-12\/11)))*(a\/(a**(5\/2)\/a))\/(a**(3\/7)\/a))**(-41) assuming a is positive.\nAnswer: a**(283351\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(((-6)\/(-15))\/(-1)). Suppose -3*r + 5*q + m = 0, -3*r + 5*q + 21 = 3*q. Solve -3*a - 2*a = -r*k - 20, 0 = 5*k + 5*a + 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1801 (b) -2 (c) 20 (d) 0.03 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-283 - -248) + (10 - 7 - 8) + -1?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -1.6 (c) 3 (d) -305\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 2*f**2 - 4*f**2 - 2*f**2 - 3*f**2 + 3*f**2 + (0 + f + 0)*(0*f - 2*f + 0*f) + 2*f**2 - 2*f**2 + 3*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 40341 - 10257. Suppose 3*q = -342 + p. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 2*v. Let n(c) = c**2 - 99*c + 30*c + 32*c + 35*c. Let b(g) = -n(g) + p(g). Let o(i) = 74*i**2. Give b(o(f)).\nAnswer: 5476*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1050455.5 - 1050428.5000011. Let s = 0.44 + 26.56. Let w = s - x. Round w to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - v + 16. What is k(6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 27*p**2 - 196*p - 13. Determine t(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/11 + 9780*u**2\/11 + 97578*u\/11 - 9760 = 0. Calculate u.\nAnswer: -4880, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 5*o**2 + 3. Let a(d) = d + 31. Let q be a(-7). Suppose q = 3*p + 4*m, -2*m + 12 = 2*m. Calculate u(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2317329189.\nAnswer: 3, 7, 23, 601, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**6\/120 + l**5\/12 + l**4\/12 + l**3\/3 - 3*l**2. Is 7 a factor of w(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 - j**4 + 3 - 12*j**4 + j**4 with respect to j.\nAnswer: -48*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*c - 4*l + 4, -c + 24 = -5*l. Let h(n) = -n**3 + 5*n**2 - 4*n - 1. Let d be h(c). Does d = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1656 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14441 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/129 (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*r + 5*o, 48 - 71 = 5*r + o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 39.9. What is the third biggest value in n, 1\/65, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 1. Let i be z(-1). Let t = 19404 + -19394. Suppose 8*x - 74 + t = i. Calculate the highest common divisor of x and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-34) - (-2175)\/(-425). Put 0.5, s, -6, -2\/3 in descending order.\nAnswer: 0.5, -2\/3, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -321 - -284. Let n be 5 + -2 + (-216375889)\/k. Round n to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-10)\/40*-544)*-2\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -893 - -837 - (-1 - 19)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -538964 equal to -538963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 6*i + 2. Let l be h(-6). Suppose 0 = -4*a + l*a + 20. Let x be (-39)\/(-15) + 4\/a. Solve 5*b = 7 + x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286, 1058, 2314, 4054, 6278?\nAnswer: 8986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 1 = -q + g, 3*q = g - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 4*n**2 - 67*n - 479. What is the tens digit of r(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 2*z**7\/735 + z**6\/120 - 3*z**5\/70 - z**4\/6 + 4*z**3\/21 - 16*z**2 - z. Factor n(t).\nAnswer: (t - 2)*(t + 2)**2*(4*t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 37 + -51 + -6 + 29. Solve -57*w + a*w = 240 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50924 is divided by 16971.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 7*u**2 - 10. Suppose -3*k = -12, -4*k = -w - 8 - 9. Let b(s) = 7*s. Let p be b(w). What is o(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 36 = -6*j + 5*j, -20 = -g - 3*j. Suppose -g*r = -28 - 28. Solve 3*v = l + l - r, 4*v - 2*l = -6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -35. Suppose -4*m = 3 - y. What is the greatest common divisor of m and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 24930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1202175 and 4355?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 + 78 + 2 = 125*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*g - 5*a - 8, 2*g = -a - 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 62 = 13*a, 6415*w = -4*a - 5*a + 6414*w + 44 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1277*g**2 + 68*g**3 + 22*g - 22*g - 1336*g**2.\nAnswer: 68*g**3 - 2613*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55629699 or 55629696?\nAnswer: 55629699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4508 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 4:40 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5263125 to the power of 1\/2, to the nearest integer?\nAnswer: 2294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(117) - sqrt(13)) + sqrt(208)*-3)**2 + sqrt(52)*1 + sqrt(52) + -2 + sqrt(52) - 6*(sqrt(143)\/(sqrt(11) - (sqrt(11) + sqrt(11)*3)) + -1)*2.\nAnswer: -30*sqrt(13) + 1314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*g = -641, -g - 27 = -29. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1277, 3, 0, -5, 6, -9 in decreasing order.\nAnswer: 1277, 6, 3, 0, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.5 + -5. Let m = a + -5.5. Let b = m - -6. Which is bigger: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a**2 - 66*a - 1. Let t(w) = -7*w**2 - 63*w - 1. Determine 2*t(g) - 3*y(g).\nAnswer: 4*g**2 + 72*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.96 - -0.04. Let j = -3.305 - -0.005. Let t = -3 - j. What is the nearest to i in 2\/11, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809566481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsly when four letters picked without replacement from bloollnyllllnyoblbsb.\nAnswer: 8\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k + 28. Let l be x(7). Let s(y) = y**2 + 7*y + 8. Let t be s(l). Suppose -t*f = -13*f. Solve -3*n + 4*z - 5*z - 14 = f, 3*z + 18 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (415\/75)\/((-21)\/(248 - -67)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, -28, -2\/5, 0.2 in decreasing order.\nAnswer: 0.5, 0.2, -2\/5, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 9 = -9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -864 = 1075*y - 1032*y - 2111 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m + 3. Let z(x) = 1. Let h(t) = f(t) - 3*z(t). Let i(w) = w + 11. Let p(d) = -1. Let o(r) = -2*i(r) - 22*p(r). What is o(h(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 16623*r. Let p(v) = 3260*v**2. Calculate p(a(w)).\nAnswer: 900816660540*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -256652*o**4 + 21607.\nAnswer: -1026608*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 4, 212\/5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 99*a**2 + 438*a + 504.\nAnswer: 3*(a + 2)*(a + 3)*(a + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6950080 and 1827.\nAnswer: -6948253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/(-26 + 2898\/112)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 913 = 2*r - t, -3*r - 581*t = -577*t - 1397. What is the highest common divisor of 153 and r?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 14470*p**2 + 12*p - 10. Let s be w(1). Let t be 5\/(150\/s) + 3\/5. What is the highest common divisor of 23 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) 2 (c) 0.1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0. Let f(c) = c**3 + c + 2. Let g(y) = -2. Let p(a) = -1. Let t(m) = -g(m) + 3*p(m). Give w*t(d) - f(d).\nAnswer: -d**3 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 32 - (-32 + 9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -r + 6, -4*r = 2*v - 4 - 6. Suppose r*n = -n + 1509. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16888293?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 7*w**2 - 103*w - 63. Calculate i(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 10*t - 13*t. Suppose -4*q + 52 = -t*q. Let m = -4 + q. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 + (-11 - (21 - 16) - -5).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 218173*u**2.\nAnswer: -u**2*(u - 218173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 + -59. Let d(a) = 2*a**3 - 42*a**2 + 10. Let m be d(j). Solve -2*k + m = -5*l - 0, -3*k + 1 = -4*l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1956\/(-31296))\/((-2)\/(-40))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 5*p**2 - 6*p - 18. Give y(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1155*o**5*w - 5*o**4*w - 5*o*w - 66*o - 2*w + 3 wrt o?\nAnswer: 23100*o**3*w - 60*o**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1111*u + 35244 = -2811*u - 105927 + 19589 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121, 3, 1, -4, 90.\nAnswer: -4, 1, 3, 90, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, -6, -61, -148, -273, -442?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164902?\nAnswer: 2, 41, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.446 + 16.446. Which is the nearest to f? (a) -0.4 (b) 285 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**29\/g**1 assuming g is positive.\nAnswer: g**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u**2 + 554*u - 19. Let q(p) = -14*p**2 + 1662*p - 50. Determine 8*l(y) - 3*q(y).\nAnswer: 2*y**2 - 554*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i = -7*i - 396. Let t(u) be the second derivative of 5*u**4\/12 + 3*u**3\/2 - 9*u**2\/2 + u. Let x(m) = -m**2 - 2*m + 2. Give i*x(h) - 4*t(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*m**5*t - 81*m**4*t + 25*m**3*t + 5*m**2*t - 1600*m**2 - m - t wrt m.\nAnswer: 2400*m**2*t - 1944*m*t + 150*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -3\/23, 0.3, -2.4 in decreasing order.\nAnswer: 0.3, 0.05, -3\/23, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 478195724 from 6.3.\nAnswer: -478195717.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-5)\/44*-2. Let v = 2\/11 + k. Let p = -0.1 + 2.1. Which is the third biggest value? (a) v (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 499142707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k + 90. Let h be i(11). What is the third biggest value in h, -19\/4, -5\/3?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d**3*l + 1005640*d**2*l**3 - 10*d*l**3 - 32115*d*l**2 - 2*d + l**2 wrt d?\nAnswer: -30*d*l + 2011280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v + 162 = -22*v. What is the remainder when v is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 10, a: 4}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 141614431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 148550 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 0.3 (b) -6\/37 (c) -0.06 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h = -21*h + 6*h - 21 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, g: 3, v: 2, l: 1, c: 5}. What is prob of picking 2 g, 1 c, and 1 v?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4314725 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/174 and 65\/2690852.\nAnswer: 8072556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*2*1. Let y be p\/(0 - (-1)\/4). Let f(m) = -5*m + 2*m + y*m. Give f(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41686 or 41685?\nAnswer: 41685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.8, 0.1, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 1:28 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.2 + 2.2. Which is the second smallest value? (a) k (b) 1 (c) 0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 75*n**2 - 37*n**2 - 36*n**2. Suppose -1 + 3 = -4*l - 2*f, 4*f = -3*l - 14. Let g(o) = -2*o + 0*o**l + o**2 + 2*o. What is g(q(r))?\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 1052 = -1178. What is the closest to k in 0, 1\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-5))\/((-132)\/(-110))*276\/(-1288)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + (44685\/720 - (-1)\/(-16)). Solve 44 = -35*z + i*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*v = -547 + 9907. Calculate the greatest common factor of 1248 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - -0.38. Sort -4, k, -8 in decreasing order.\nAnswer: k, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 908 + -645. Let r = p + -250. Solve 8*n = r*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/29)*o\/o**(-2\/13))\/(o\/(o\/(o*(o\/(o*o**(-5)*o))\/o))*o*o**(-2\/7)) assuming o is positive.\nAnswer: o**(-9578\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14030 (base 6) to base 4.\nAnswer: -202002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109178956529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3940225*x**2\/8 - 1985*x\/4 - 1\/8 = 0. What is x?\nAnswer: -1\/1985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842047 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 0 + 0)*(4 - 3 + 4) + 0 + 2*g + 0 + 4 - 4 - g + (2*g - 6*g + 2*g)*(-4 + 4 + 2) - 5 + 5 - 2*g + 0*g - 2*g + 0*g as u*g + v and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 9*y**2 + 6. Calculate p(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 - 37 - 22 + (2 - 4 + 3)*(-1 + 1 - 2))*(-2*p**2 + p**2 + 6*p**2) to the form j*p**2 + r + d*p and give j.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(-4 + 4 - 2*x) + 0*x - x - x)*(7*x + 2*x - x)*(-1220 - 909 + 1872).\nAnswer: 12336*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3422088?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 8*q - 395. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -1) + 4698\/16. Let q = c + -296. Let m = -183 - -1459\/8. Find the common denominator of q and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a kilometer in meters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - u + 4)*((0*u + 3*u - 2*u)*(-3*u**2 + u**3 + 3*u**2) - 2462 + 2462 - 29*u**4).\nAnswer: 28*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 323037157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 38 = -14. Let s = 11 + u. Suppose z = s*z - 8. Solve -z*t + 5*w - 35 = 0, -t + 13 = -3*t + w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000055834189 to 7 decimal places.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1091 at most as big as -1098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1570 and 42704.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 6:18 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 1:25 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 712 by 89.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 4, t: 3}. What is prob of sequence ci?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 9*g**2 - 9*g. Let l = 5 + -12. Let d(y) = -11*y - 74. Let m be d(l). Suppose -120 = m*j - 15*j. Determine n(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 4*t**2 - 3*t - 6. Let x be (-1 + 2)*(9 - -6). Suppose 4*s + x = 5*k + 3, 2*k - 3*s - 2 = 0. Suppose 0 = a + k. Determine f(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -132671?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12237.\nAnswer: 3, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -151 - 131. What is the common denominator of (-18)\/(-12)*k\/6 and ((-1)\/1)\/(13\/(-19))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444517, -889033, -1333545, -1778053, -2222557?\nAnswer: -2667057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 186060 and 334908?\nAnswer: 1674540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1291131 = 17*m + 3*m - 7140089. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -51 - 1a15?\nAnswer: -1a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 123307*o + 173. Let t(g) = 616534*g + 866. Let k(d) = -14*q(d) + 3*t(d). Let c be k(6). What is c rounded to the nearest 10000?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 4*j**2 - 2*j**2 - 252*j + 252*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a - 40*a - 238 = 401. Sort -1, a, -2 in decreasing order.\nAnswer: -1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 21 = -30*l. Let y = 1\/586 - 15845\/13478. Find the common denominator of (15\/((-90)\/438))\/(l*1) and y.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*38\/4 + 1. Let t be (-4)\/16 + (-3)\/4. Let v = t + 4. Solve 0 = -u + y + v, 2*u + 2*u = -4*y - m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -18*y - 4. Suppose 10 = 5*a, 5*t - 4 = -a - 17. Let w = t + 9. Let b(i) = -i - 1. Let q(s) = w*b(s) - m(s). Differentiate q(n) with respect to n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9674766.\nAnswer: 2, 3, 23, 23369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -17*h**4\/12 + h**3\/2 - 3*h**2\/2 + 51*h - 2. Let d(i) = -50*i**2 + 8*i - 8. Give -3*d(s) + 8*x(s).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4340 and 180?\nAnswer: 39060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111000 - 1000000?\nAnswer: -100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1226 divide 73636012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-92)\/16*1*4. Let z = h - -45. Suppose 0 = 4*x - 5*x + 8. What is the remainder when z is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 25 = -70. What is the remainder when 72 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17712\/(-164)*(-3)\/3*1*(-3)\/12.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3))**(-5)\/(u*u*u\/(u*u**1)*u*u)**(1\/12)*(u**(-8)*u\/u**(2\/5))**(-22) assuming u is positive.\nAnswer: u**(9953\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1621573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1180 - -1179. What is the nearest to 1 in -0.5, -2\/11, p, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/13 (b) -1 (c) 287010 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*v - 68 - 16 = 0, 5*d + v - 356 = 0. Suppose 0 = r - d - 9. What is the greatest common factor of 27 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0, 0.71, -1\/2 in ascending order.\nAnswer: -1\/2, 0, 2\/3, 0.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76738 is divided by 785?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, q: 5, i: 3}. What is prob of sequence hqii?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678 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: b\"What is the wth term of 192, 704, 1560, 2760, 4304, 6192, 8424?\n\"Answer: 172*w**2 - 4*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 41 (c) -4 (d) -1\/6 (e) -0.1 (f) -2\/51 (g) 0.91\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 16 - (0 + (2 - 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -0.41409\nAnswer: -0.0165636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*i - 0*g + 6, 3*i = 3*g. Sort -4, -5, 4, i in ascending order.\nAnswer: -5, -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*j + j - 4 = 0, -3*p - 3*j = 0. Suppose -5*h + p*h = -6. Solve -7 + 2 = 3*i + r, h = 4*i - 3*r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + s**4 + 2*s**3)*(-3148 + 1010 + 901 - 3083).\nAnswer: -4320*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6, -12, -30?\n\"Answer: -18*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/73279 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9659719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 5 - 7*v - 3 + 1.\nAnswer: -7*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -983*a = -28091 - 1399 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24 + -17?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 22 - 6. Let u be (-148)\/x - (-3)\/12. List the prime factors of (-547)\/u - (-10)\/45.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7561?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11)\/(y\/y**6))**(-9\/5) assuming y is positive.\nAnswer: y**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) + sqrt(95)*2)*-5 + (1*sqrt(95) - sqrt(95))*5)*4)\/(((sqrt(10) - sqrt(160)) + sqrt(10))\/sqrt(2) + (sqrt(20) - sqrt(320))).\nAnswer: 15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 13*c**2 - 7*c + 105. Is 14 a factor of x(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3 (b) -834 (c) -1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 277 - 275. Suppose -2*c = -k*m + 916, -3*c + 2*c = -5*m + 2290. List the prime factors of m.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 - 25\/(-35). Let d be 1\/(c\/((-3)\/(-3))). Differentiate 2*q - d - 6*q + 4 with respect to q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h. Let g(b) = -b + 1. Let o(y) = -g(y) + 2*x(y). Let r(c) be the first derivative of -9*c - 13 - 11\/2*c**2. What is -18*o(w) + 2*r(w)?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 13 - 2*a**2 - 9 in the form y*a**2 + h + l*a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2))**(-12\/11)\/((j*j\/(j\/j**(-2)))\/j**6))\/((j*j**(-2\/9))\/(j\/(j\/(j*j*j*j**(-8)*j*j*j)))*(j**(-1))**(-33)) assuming j is positive.\nAnswer: j**(-2633\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - x - 47 = 2*o, 3*o - 83 = 4*x. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9669, 19327, 28989, 38655, 48325, 57999?\nAnswer: 67677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.014\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 129. Suppose -4*c - 52 = -2*c. Let m = c + 39. What is the greatest common divisor of x and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533103259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f = -36*f - 12. What is the common denominator of f\/30 - (-688)\/(-330) and -76\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -1 + 1 + 5 - 8*i - i**2. Let u be z(-4). Suppose 6 = n + 4*f - 3*f, u = n - 4*f. What is the remainder when n is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46140971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**4\/6 + 5*s**3\/3 + 3*s**2. What is the first derivative of t(i) wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5094 + 4845?\nAnswer: 9939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w - 75 = -167 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**4*r + 13*j**4 - 2*j**2 - 7*j*r - j wrt j?\nAnswer: -24*j*r + 312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/4 + 39*g**2\/4 + 12*g - 21.\nAnswer: -3*(g - 14)*(g - 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36630 (base 7) to base 8.\nAnswer: 22550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**2*x**5 + m**2 + 609*m*x**3 - 41*m*x + 50*m - 206*x**2 - 2*x wrt x.\nAnswer: -40*m**2*x**3 + 3654*m*x - 412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110937 by 144.\nAnswer: 36979\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7656 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 418*t. Let g(y) = -3*y**2 - 125*y - 8. Determine v(g(r)).\nAnswer: -1254*r**2 - 52250*r - 3344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9276.35141 + 1282.\nAnswer: -7994.35141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4072.6 - 4072. Which is the second biggest value? (a) z (b) 0.1 (c) 1\/6 (d) -2\/11 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2209966467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25339 bigger than 25357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1629 - 1487. Calculate the remainder when p is divided by ((-8)\/(-10))\/((-3)\/(-180)).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from {d: 1, z: 1, p: 4, c: 3, l: 4, s: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(7 - -1) - 3. Solve -3*y - 7 = -4*b - 4, 3*b + x = -5*y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 13 - 4. Let c(u) = -9*u + 444. Let p be c(49). Calculate the greatest common factor of p and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -5, 11, 10 in increasing order.\nAnswer: -5, 1, 4, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78377 smaller than 78376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c**2. Let q be s(2). Suppose -q + 123 = 3*g. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28691, 114905, 258643, 459905?\nAnswer: 718691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.16 and -0.0600659562559.\nAnswer: -0.2200659562559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2320*g - 272 = 2184*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 8*s + 7. Give z(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58408365733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23472785.\nAnswer: 5, 7, 73, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 11*g - 10 = 0. Suppose j + 14 = g*j. Is -2*2\/j - 3320\/(-56) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**3 + r**2 - r - 4. Let g be d(-2). Suppose -2*v - g = -3*x - x, -5*x = v - 25. Let w(i) = -2*i + 9. Determine w(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(5 - 0) - 1. Let m be (w\/(-1))\/(3 - 4). Suppose 5*b - 5*h - 298 - 237 = m, -3*b - 2*h = -336. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107499658 divided by 1174.\nAnswer: -91567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2) + -3)*(4 + -2)\/42\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 2. Let w = -4 - f. Sort w, -3\/8, 0.2 in increasing order.\nAnswer: -3\/8, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 7) + (1 + 0 - 14).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (-135 - -142) + -20 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32225279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10351 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 268560734 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -66.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**3\/o)\/o)\/o*o)\/(o*o**(-4\/13)))**(-8\/5) assuming o is positive.\nAnswer: o**(-32\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 3*p**2 - 3*p**2)*(2*p**2 + 0*p**2 + 0*p**2) + (0 - 2*p + 0)*(-1088*p**3 + 551*p**3 + 409*p**3) - 2*p**4 + 2 - 2.\nAnswer: 244*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abaabbbbarrbaaraa. Give prob of picking 1 r, 1 a, and 2 b.\nAnswer: 18\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8 - (-31160)\/85280?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107 + 179. Calculate the least common multiple of -11 + 22\/638*493 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/11 (b) -1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/(-88) - 29131\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by -1.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14608 + 14608 - 6*a + 20*a - 2*a**2 + 3*a**3 to i*a + c*a**2 + o + b*a**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 461079 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*i**2*n**3 - 16*i**2*n**2 - 4*i**2*n + 2*i**2 + 105*i*n**3 + n**3 - 25*n wrt n?\nAnswer: -294*i**2 + 630*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/98 and 127\/2940?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -58. Solve 3*f - 2*p = -15, g = -0*f - 2*f + 2*p - 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4387\/(-1476)*-12 + -45\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/6)\/(2\/(-24)). Let o = -8 + 14. Let j = o + z. Solve -2*g + j + 10 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -418941, -418786, -418629, -418470, -418309, -418146, -417981?\n\"Answer: s**2 + 152*s - 419094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 13*o**2\/2 + 600*o - 284. Is 50 a factor of s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 942*s**2 - 252*s + 6. Let q(t) = -15*t**2 - t - 2. Let b(w) = -3*q(w) - u(w). What is the second derivative of b(f) wrt f?\nAnswer: -1794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0513 to three decimal places.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.109 and -23033.\nAnswer: 2510.597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/5 - 11154*j\/5 + 31102929\/5.\nAnswer: (j - 5577)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 42. Let f be 1\/(-10)*u\/(-8). Which is greater: -0.18 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 7634.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -362 + 0.006\nAnswer: -361.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -313 and -165.095?\nAnswer: 51674.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477570.\nAnswer: 2, 3, 5, 15919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -346 (base 7) in base 8?\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 606*f + 3. Let n(z) = 202*z + 1. Give -6*i(l) + 19*n(l).\nAnswer: 202*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533929862.\nAnswer: 2, 6653, 40127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41286 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -199 - -119. Let g = 88 + j. Solve -3*c - 4*k + g = -5, -5*c = 2*k - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t - 5*t. Let u be (t\/(-6 - -1))\/1. Is -2\/27 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*j - 34043 = 448180 + 154257. What are the prime factors of j?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -47, 31, 3, 34.\nAnswer: -47, -10, 3, 31, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2149 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 113072746?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-2*x + 3 + 3 - 3).\nAnswer: 4*x - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 4*w**3 - 3*w**2 + 16*w. Let d be l(1). Suppose 0 = 5*g - j - 72, d = g - 2*j + 3*j. Solve 5*s - g + 0 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3, 2\/11, 9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2514\/304 - (-22)\/209 and 7\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/22861212 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36411 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: Convert -46444 (base 16) to base 10.\nAnswer: -287812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -364 and 890.\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**6\/120 - d**5\/30 + d**4\/24 + d**3\/3 + 2*d**2 - 37. Let m(j) = 2*j. Let t be m(1). Determine u(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30 + -5 + 1088\/(-34). Which is the closest to -0.039? (a) -0.5 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 297 and -6.3.\nAnswer: -1871.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2120*m + 38348. Determine o(18).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1257, 2590, 3921, 5250, 6577, 7902?\n\"Answer: -f**2 + 1336*f - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -372793.999844 + 372789. Let g = 2 - 7. Let j = g - s. What is j rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 p when three letters picked without replacement from {p: 3, g: 6, c: 4}.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -51456900 to the nearest 1000000.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 7, 1, 15\/7, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 454 + 4323*d**2 - 534 - 249*d**2 + 24*d wrt d?\nAnswer: 8148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*h + 10131 = b + 231*h, 0 = -5*h - 15. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2085*f**2*l - 1519256*f**2 - 7*f*l + 8*l wrt l?\nAnswer: -2085*f**2 - 7*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668 = -116*q - 2072 - 336 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*q + 168*q = 3*c - 25, 3*q - 6 = 2*c. Let s(v) = -v**2 + 3*v + 7. Give s(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(408\/(-1309))*((-16)\/(-144))\/((-1)\/(-9))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 + 44 = -3*r. Calculate the remainder when 67 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1458392?\nAnswer: 2, 13, 37, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 37 + 20 - 63 - 33 - 19.\nAnswer: 2*g**3 - 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5 + 2. Let c be -8 - -5 - -1*w. Let k = -1 - c. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) -4 (c) 1397 (d) 0 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4508030467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + q**2 + 14*q - 5. Let w be x(-8). What is the greatest common divisor of 54 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 - 101.3. Which is the closest to p? (a) -2\/5 (b) -2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 3*g = 2*g, u - 4*g - 1 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.7 greater than or equal to 147\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -335586, -335589, -335594, -335601, -335610, -335621, -335634?\nAnswer: -335649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -8319917.\nAnswer: -8319921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1059*b - 1059*b - 42*b**2)*(b**2 + 3*b**2 - 3*b**2)*(5 - 15 + 5).\nAnswer: 210*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifiwgdz. Give prob of sequence dfi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3713374.\nAnswer: 2, 7, 265241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*r**3 + 799*r - 144*r**3 + 55*r**4 + 222*r**3 + 2 wrt r?\nAnswer: 660*r**2 + 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/14)\/(-2*3\/(-108)). What are the prime factors of ((-57)\/g + 6)*19*-3?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 16*p - 22. Let x be d(17). Let g be (8\/(-10))\/(-4 + 5). Sort g, -4, x in decreasing order.\nAnswer: g, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**3\/3 - 584*c**2\/3 - 1180*c\/3 - 592\/3 = 0?\nAnswer: -1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 + -39. Let w = -41 + u. Calculate the lowest common multiple of (-2)\/(4\/(-14) - 0) and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 + 3*c**2 + 156 + 418 - 92 - 294*c = 0. What is c?\nAnswer: 2, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y + 14. Let r be l(2). Suppose -35 + 39 = r*w. Let h(d) = -d**3 - 2*d**2 + 4*d - 5. Let u be h(w). Round u to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - 1*sqrt(78) - sqrt(78))*-2 - sqrt(78))\/sqrt(6) + (-1*sqrt(13) + -5 - (sqrt(13) + -4 + sqrt(39)\/sqrt(3) + sqrt(13))).\nAnswer: -3*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-622)\/8*3*(-5)\/7095. Let c = 3\/172 + a. Let y = 12.6 - 13. Which is greater: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0.3, -1\/4, 6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -20*k - 29. Calculate s(-4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -99 divided by 99\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 130 = 10*a, -4*a - 758632 = 3*q - 758564 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k. Let j(f) = 1187*f. Calculate z(j(x)).\nAnswer: 3561*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**5\/300 + 119*c**4\/60 + 14161*c**3\/30 - c**2 + 135. Solve k(a) = 0.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1489167 + h**2 - 1489167.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-276)\/(-270) + (-2)\/9. What is the second smallest value in -1, -4, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3401 - -386. Let q = 2085 + o. What is q rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, i: 4, a: 1, h: 12}. What is prob of picking 1 i, 1 h, and 1 e?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 783791*w**2 + 389681*w.\nAnswer: 1567582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6487873 to the power of 1\/2, to the nearest integer?\nAnswer: 2547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 214956 (c) -0.2 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/312)\/(21\/(-1) - 70950\/(-4290)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11119 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16277 + 25080. List the prime factors of v.\nAnswer: 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627837 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/1)\/(-3) - -2. Suppose 0 = g*y - 2*y + 15. Let p = y + 37. Calculate the least common multiple of p and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - -2*sqrt(112) - (3*sqrt(7) + 2).\nAnswer: -2 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 241*u - 1 + 238*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-8) + (-3)\/(-12). Let p be (y\/(-2))\/((-10)\/(-80)). Let q = p - -7. Which is smaller: q or 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1*s\/(s\/(s**8*s)*s))\/((s**(-1\/6)\/s)\/(s*s**8)))**(-2\/93) assuming s is positive.\nAnswer: s**(-115\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(17) - sqrt(272))**2 + sqrt(2057)*2.\nAnswer: -918 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1316*r - 11684. Determine z(-7).\nAnswer: -2472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -21667*w. Let h(t) = 2*t**2. Give r(h(o)).\nAnswer: -43334*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452618 not equal to 1452618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 106873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.3, -0.305, -1\/2, 1, 0.18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/5 - 0)*(-100)\/15. Let l be (-81*1)\/(u\/(-48)). Let n be 4\/(-10) + l\/90. Solve 5*g = n*m - 10, -2*m - 4*g = g - 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -15. Let w be (8 + -2)*6\/d. Suppose -3*z + 4*z - 2 = -3*t, -5*z + 21 = w*t. Solve -7*o = -2*o + 4*x - 7, -4*x = -z*o - 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000041239 to 7 dps.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 555245 + 3366?\nAnswer: 561644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 64\/14 + 12\/224*8. Let r be (a\/(-33))\/(80\/(-192)). Suppose -6\/11 - r*f + 2\/11*f**2 = 0. Calculate f.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - 1211?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/3597 and -40\/3861.\nAnswer: 420849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kckk when four letters picked without replacement from kckckkkk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*h - 5*h + 16 = 0, 3*t - h = 2. Solve -t*y - 2 - 4 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 times 1?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**2\/2 + 6*z - 653. Let y be 2\/(-6) - (-16)\/3. Give m(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4229\/133998 - -5\/1942. Which is the closest to -1\/4? (a) w (b) 11 (c) -2\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 296*u - 103*u - 95*u - 99*u.\nAnswer: -u - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21100120 (base 3) to base 12\nAnswer: 3129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 947534.\nAnswer: 2, 7, 53, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209 + -113.9?\nAnswer: 1095.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*s = -40*s - 142*s + 8472 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2\/3 - 3268780*i\/3 - 534246134420\/3.\nAnswer: -5*(i + 326878)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134856662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19036*a*q**4 + 2*a*q**3 + 69640*a*q**2 - 3*a*q - 2*q**4 - 2*q**3 - q + 2 wrt q.\nAnswer: -456864*a*q + 12*a - 48*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t - 2. Calculate the remainder when o(-4) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.42 - -7.42. Let g = 10.3 - n. Let z = g - 2.99. Round z to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 396, 610, 826, 1044, 1264, 1486, 1710?\nAnswer: 1936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 150673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112190 is divided by 838.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16550008?\nAnswer: 2, 2068751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115 - 171 + 119 + (1 + 1 - 1)*(-3 + 0 + 5) + 0 - 2 + 3 - 4 + 1 + 1)*(f**4 + 2 - 2).\nAnswer: -166*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-10) + (-552)\/(-740)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 495 and 1551?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*l + 8, -3*l - 2*m + 9 = -5*m. Suppose -d + 3*d + l*d = 0. Are -1\/273 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 - 4)*(0 + 0 - v) - 31 - 9*v + 32 + 24*v to the form r + o*v and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/7992 and -73\/297432?\nAnswer: 11004984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**4\/3 + 183626*n**3 + 75867193597*n**2\/3 + 50577578188*n + 75866091844\/3 = 0.\nAnswer: -275438, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-30)*(-6)\/(-4). Suppose 2*x - 2 = 3*x + 4*h, 5*x - h = 11. Let g be x\/(-34)*(-6)\/(-3). Put o, g, 2 in increasing order.\nAnswer: o, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 7. Let n be y(-5). Let m be (-3)\/(-1 + 11\/2). Let d = -3 - -3.3. Put n, m, d in increasing order.\nAnswer: n, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 11 - 29 = 0. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465783?\nAnswer: 3, 17, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 378\/(-84)*8\/(-6) - -31. Suppose 0*h + 2*h = -5*g + 157, 78 = 2*g - 3*h. Let j = c - g. Solve 0 = -j*o + 3*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.34 + 50.66. Let y = -23 + h. Let n = y - 28.1. Sort -5, 4\/9, n in descending order.\nAnswer: 4\/9, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*r = 181539, 2*p - 2*r + 129086 = 38316. Let m = p - -195384. Round m to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 302 - 5*r + 296 + 287 - 17*r**2 - 869 as o*r**2 + g + h*r and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1 + 0*f - 3 + 8*f. Let m(c) = -13*c**2 + 18*c + 30. Let t(q) = -28*q**2 + 39*q + 65. Let x(v) = -13*m(v) + 6*t(v). Calculate x(b(l)).\nAnswer: 64*l**2 - 32*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 5*n**2 - 3*n - 3. Let k = -8 + 16. Suppose v = -4, -2*v - 2 + 3 = 3*q. Let s be k\/(-3) - (-2)\/q. Determine h(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15238829?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.209744 litres?\nAnswer: 209.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n = -21*n - 5*f - 11, f - 2 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -437 divided by 13?\nAnswer: -437\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 6040.\nAnswer: 18120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 less than or equal to -67288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14311, -14243, -14151, -14023, -13847, -13611, -13303, -12911?\nAnswer: -12423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 138 - 137. Suppose -2*t = 2*s + x - 11, -2*t + 2*s + 10 = 0. Let b be 10\/4*2*1. Solve 15 + b = t*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1))**16\/((m**(3\/2)*m)\/m**(-4\/9)))**(4\/33))**(-1\/14) assuming m is positive.\nAnswer: m**(31\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 166103 and 7.\nAnswer: 166103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 1315992867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 11*x + 2. Let v be p(-11). Suppose 0 = o - 0*u - 2*u + 1, 5*o - 35 = v*u. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616 a factor of 15953809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3 - 51 = 3*i, 2*m + 15 = 5*i. Let c = m + 17. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1852 or -1853?\nAnswer: -1852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-343)\/5 - ((-4779)\/153 + 31)\/((-20)\/34)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 419 - 747. Let p = 327.5 + m. Sort -4, -1\/3, -4\/3, p in decreasing order.\nAnswer: -1\/3, p, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1792 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3 - 1188*x**2 + 235224*x - 15524784 = 0?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 4:26 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-9\/2)\/(k**9\/k*k)*k\/(k\/(k*k*k**(1\/18)))*k\/(k*k**(-6))*k)**(-14))**(2\/121) assuming k is positive.\nAnswer: k**(1120\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 18561*m**2 + 671112*m + 6048756.\nAnswer: -3*(m - 6223)*(m + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 + 91. Let k be 15\/(-3) - (f + 3). Which is smaller: k or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + sqrt(3))**2 + 5*sqrt(27).\nAnswer: 19 + 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1005 - -1008. Let r = 13 - 12. Let z = 0 + r. Is y < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 516565 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**2 + 5*x - 6. Let u(r) = -9*r**2 + 9*r - 12. Let q(p) = 3*u(p) - 5*z(p). Let o(w) = -15*w**2 + 4*w - 13. Calculate 6*o(l) - 13*q(l).\nAnswer: l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(45)\/(sqrt(27)\/sqrt(3)) + 1)**2 + ((sqrt(90) - (sqrt(90) + sqrt(90)*2))\/sqrt(6))\/(sqrt(243)*-2 - sqrt(243)).\nAnswer: 56*sqrt(5)\/27 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-6) + 1120\/(-160) + (-98)\/(-18).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1031.43 + 24.57. Let d = i + -597. Let l = d - 459.000000363. Round l to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -73 + (-13 - (-41 - -17))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3\/4 + 406*l**2 + 27349*l\/4 + 24105\/2 = 0. Calculate l.\nAnswer: -1607, -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1063 (base 10) to base 14.\nAnswer: -55d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1333?\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 69?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 8*d**2 + 8*d + 7. Let j be t(9). Let m = 8 + j. What is the remainder when 4\/10*2*20 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2711663.\nAnswer: 31, 87473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3640 = -4*t - t, 2907 = 4*h + 5*t. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j + 8*j + 171 = -6*j - 646 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 3*s + 2. Let l be p(2). Let y = 0.12071 - -0.27929. Which is the nearest to -0.11? (a) y (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-6))\/(1\/(-63)). Let h = k + -57. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 21*y = 0. Solve -2*c = p - 4*p + 16, y = 3*c - 5*p + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 12*f + 10*f + 7*f**3 - 6*f**3 in the form y*f + s*f**2 + q*f**3 + j and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -125\/2 or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (42 - 39) + -10 - (-1)\/(2\/14). Let q(v) = v**2 + v - 2. Let l be q(-3). Put 33, l, s, 3 in decreasing order.\nAnswer: 33, l, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168284 by -3.\nAnswer: 168284\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 28*d**2 - 59*d - 887. Give w(-29).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - w**2 + 2*w + 2. Let c be b(-2). What is the remainder when 9 is divided by -2*1*(-5)\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59 or -51370.8?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3817*h + 94699. Determine m(25).\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -307*l - 1131. Is m(-50) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (17 + -2) - 3. Is u <= -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21204 and 45756.\nAnswer: 869364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 5*q + s - 2*s, 2*q - 4*s - 44 = 0. Calculate the remainder when q is divided by ((-1653)\/(-171) - 1) + (-2)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -227 - -227. Solve 4*h = -q*h - i + 22, -i = 2*h - 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 55.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(21)\/sqrt(3)*-6 + -1 - ((sqrt(7) - (4 + sqrt(7) + sqrt(7) + sqrt(112) + sqrt(7))) + sqrt(7) + (sqrt(21)\/sqrt(3) + 4)**2).\nAnswer: -9*sqrt(7) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 262 * 2\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o + 11. Let u be v(1). Calculate the highest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*w + 4*w. What is the third derivative of 5*g**w - g**5 - g**4 - 4*g**4 - 2*g**2 wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002132 rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1752 is divided by 70?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/38112 and 9\/88928?\nAnswer: 266784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**6\/30 + 2*x**5\/15 + x**4\/6 + 8*x**2 + 2*x. Factor t(d).\nAnswer: 4*d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -537*a**2 + 10604670*a + 118488 = 0.\nAnswer: -2\/179, 19748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isrisirs. Give prob of sequence irrs.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8331625 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 22*v - 38. Give f(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*k + 64, -k - 8 = -s - 5*k. Solve 205 = -s*q + 157 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o + 5*u - 910, 0 = -4*o - 5*u + 732. Suppose 0 = 4*y + 6*h - h + o, 5*h - 10 = 0. Let w = -5 - y. What is w rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/3, -1\/4, -5, -0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 812*o. Let x(t) = -4*t**2. Give w(x(v)).\nAnswer: -3248*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -2*b**2 - 1. Let u(k) = 2. Let c be (2 - -8)*4\/4. Let q(g) = -g + 10. Let z(f) = c*u(f) - 2*q(f). Give d(z(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f**3 - 112*f**2 - 219*f + 62. Give j(13).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -1 - (4\/(-54) + 3816\/(-972)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 728\/36 - (1344\/32 + -36 - -15).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -30. Calculate the highest common factor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*m - 4*t - 0, -5*m - 24 = 4*t. Let z = m - -3. Let b be (6\/(-10))\/(z\/5). Solve b*x - 20 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 193905 or 193913?\nAnswer: 193913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*u - 21, -2*d = -3*d - 5*u - 7. Let o = d - 7. What is the remainder when 19 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*(7 - 0))\/(-1). Let n = -6 - -9. Find the second derivative of i*o**4 - n*o**4 - o - 2*o**4 wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*y - 27, 5*i = 2*i - 2*y - 1. Let n = 0.01 + 1.99. Let x = 2\/59 + 96\/649. Which is the biggest value? (a) x (b) n (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1043 and -1175?\nAnswer: 1225525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/3))**(-2\/47)*(k**(-2\/7)*k)**(-10\/9)*(k**(-2\/7)\/k**(-6\/7))\/(k**(1\/4))**(-29\/2) assuming k is positive.\nAnswer: k**(11611\/3384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 8:06 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**2\/13 - 332078*x\/13 - 332076\/13 = 0.\nAnswer: -166038, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 4:30 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7122972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, t: 3, g: 4, b: 2, l: 4}. Give prob of sequence xbl.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h + 297 = 0. Let l = h - 92. Let t(s) = s**2 - 8*s - 1. Calculate t(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 365277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 1, -209.65, -1\/276, -0.1 in descending order.\nAnswer: 21, 1, -1\/276, -0.1, -209.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 8*z + 10. Let g be 5 - (2 - 1) - -3. Let d be q(g). Calculate the remainder when ((-33)\/(-4))\/d*4 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1211 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -73. What is the remainder when 64 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Let j(f) be the first derivative of 0*f - 1\/2*f**2 - 1. Calculate h(j(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -1233?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4306 + 0.5\nAnswer: -4305.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 2:30 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65892 is divided by 32941?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a hour in seconds?\nAnswer: 41040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 130?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -2*i. Suppose -18*r - 50 = -140. Solve -21 = -4*z + r*f, -12 = -2*z + i*f + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136404 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/(49\/7) - -60. Let t be 13\/((-143)\/l) + (-22)\/(-3). Let -4\/3 + t*j - 1\/3*j**3 + 1\/3*j**2 = 0. What is j?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, 35, 90, 181, 320, 519, 790, 1145?\n\"Answer: 2*y**3 + 17*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 5*x - 4. Let g be s(6). What is the second derivative of g*p**4 - 55*p**4 - 24*p + 6*p wrt p?\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3260 in 0.17245, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.091 >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2022*a**2 + 5*a - 4. List the prime factors of i(1).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4 + 124*h**3 + 3714*h**2 - 8316*h - 11907 = 0. What is h?\nAnswer: -63, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011121110 - -221120000?\nAnswer: -20001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 86\/18 - 6\/(-27). Let n = -3 + z. Suppose 3*j - 3*c = -n*j + 23, 0 = j + 2*c - 15. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) 2\/25 (c) -2\/7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(315))\/(sqrt(125) - (sqrt(125)*-1 - sqrt(125))).\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -5 + 4 + 239 + -252\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 4*l - 4. Let m be k(-5). Suppose 2*g - 7 = -m. Suppose -g*v + 16 = v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 58\/3. Let v = -13 - -8. What is the biggest value in v, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1093*l**3 + 4*l**2 - 4*l. Let s be m(4). Round s to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2\/7 + 9048*o\/7 - 1783845 = 0. What is o?\nAnswer: -4045, 1029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3082060 by 42220.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 5*n**2\/2 - 2846. Let x(g) = -3 + 7*g**2 - 1 - 16*g**2. Calculate b(x(d)).\nAnswer: -45*d**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 993 + -935. Suppose 0 = -4*d - 56 - 56. Let o = d + f. Calculate the lowest common multiple of o and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4495 and 30735.\nAnswer: 27630765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189 + -186. Let f = -7.3 + 7. What is the closest to -0.1 in f, h, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -13*n**2 - 9. Let p(q) = 3*q**2 + 2. Let o(r) = 9*p(r) + 2*w(r). Let j(s) = -9*s**2. Let v(m) = m**2. Let i(f) = -j(f) - 6*v(f). What is o(i(x))?\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 8:54 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 114798275 to the power of 1\/2, to the nearest integer?\nAnswer: 10714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 6:49 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j + 4*j - j + 0*j - 6*j. Let k(r) be the first derivative of 35*r**2\/2 + 147. Give k(z(t)).\nAnswer: 35*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*z - 183*z - 82*z)*(6 - 1 - 1)*(2 + 2 - 5).\nAnswer: 1488*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) -5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -13 + 10 - (1 - 1). Let z be (j\/((-3)\/5))\/1. Suppose -2*i + 3*h + 250 = 0, 2*h = z*i - 205 - 420. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 11*s + 25. Let l(x) = -x**2 - 6*x - 12. Let g(y) = -2*i(y) - 5*l(y). Let q be -8 - (-6)\/24*4. Calculate g(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1163*r - 24. Let k(m) = -3489*m + 84. Determine -7*g(y) - 2*k(y).\nAnswer: -1163*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 - 528670?\nAnswer: -528643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 547816 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2967 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 41. Let s(j) = -24*j. Determine s(h(n)).\nAnswer: 48*n - 984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 295459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-3)*22\/264.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-8)*120\/90\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-12)*27\/45. Let c(v) be the first derivative of 4\/3*v**3 + 0*v + 1 + v**2 + w*v**4. Let c(x) = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.241 in -5, -0.0711, -5\/2, 9?\nAnswer: -0.0711","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1c7d (base 14) to base 12\nAnswer: 301b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 11 + 19*w**2 - 14.\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -17*r**6\/6 + 31*r**3\/3 - 41. Find the third derivative of o(k) wrt k.\nAnswer: -1020*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - z**2 + z + 5. Let j(p) = -p + 5. Let n be j(3). Let x(t) = t**3 - 5*t**2 - 5*t - 6. Let b be x(6). Suppose b*g = -n*g. What is q(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 117.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -15. Calculate the highest common factor of 8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6139*g**4 - 5687 wrt g?\nAnswer: -24556*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -40.4 (c) 2.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w**2 - 5*w + 273. Let r(a) = a**2 + 1. Let z(k) = i(k) + 5*r(k). What is the tens digit of z(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18610 divided by 4?\nAnswer: 9305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1428.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.565703cm to meters.\nAnswer: 0.00565703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = h - 5*h. Let b = -5 + h. Let i = 0.08 + 0.02. What is the closest to i in -0.5, b, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*f + 234 - 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 times 1212?\nAnswer: -42420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 368042810?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 815 - 815 + 399*j**3.\nAnswer: 399*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 + 4*p**2 - 2*p - 16. Let j be l(-3). Let s be 0 + (-9)\/(-21) + (-100)\/j. Solve 8 = -n - 4*n - 2*d, s*n = -4*d - 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/3 + 164*l**2 + 20352*l - 16000064\/3 = 0 for l.\nAnswer: -178, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/9)*u**(-30))\/((u\/(u**0*u))\/(u\/u**(-12\/7))) assuming u is positive.\nAnswer: u**(-1754\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*((-54)\/(-5) + 2\/10). Suppose 0 = -3*n + 8 - a. Does 9 divide n\/3*1185\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 10:22 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**2 - f**2 + 3*f**2)*(-2 + 0 + 0) + (-123 + 9*f + 123)*(-108*f + 96 - 185 + 90) to r*f**2 + m*f + g and give r.\nAnswer: -978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*o + 103777 - 21507 = 0. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/107)\/(((-525)\/30)\/(-35))?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 + 3.92. Let h = 20\/31 - -2\/93. Suppose -4*v = 2 - 6. Which is the nearest to v? (a) h (b) m (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 6*j**2 + 4*j - 1. Give d(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1826.184991 - 1.901009. Let o = 1865.1 + d. Let p = 37 - o. Round p to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -884 - -887. Solve -23 = -y + 11*c - 6*c, u*y + 31 = -5*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626 less than 625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1947 = -7*q + 2311. Calculate the remainder when 269 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3 - 5*j + j + 1. Let h = 119 + -124. What is the units digit of w(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 87 = -1391. Suppose 2*z = b + 284. Let q = 1227\/4 - z. Are 2 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4788 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/84)\/(-1 - 80\/(-72))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -437*v**3 + 2*v**2 + 6*v - 2. Let o be l(-4). Let t = -54801\/2 + o. Let j = t - 554. Calculate the common denominator of j and -105\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61943, -247771, -557497, -991133, -1548691, -2230183, -3035621, -3965017?\nAnswer: -5018383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -13. Let x = -2\/257 + -245\/1542. Suppose -62*j - 120 = -75*j + 43*j. What is the closest to r in j, -4\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.57556t to grams.\nAnswer: 71575560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2338 = 4*k - 2*c, 2*k - 5*c - 1380 = -207. Calculate the highest common factor of 40 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - l + 1. Let b be q(2). What is the third derivative of -9*a**2 + 2 - 2 + b*a**2 + a**3 wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/84)\/((-3)\/(-10)*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 8 (b) -1 (c) 4 (d) -0.07 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -2)*-1*1. Let k be (-10)\/(-5) + -1110003 + p. What is k rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 + 1 + 0 + 0 - 2 + (-1 + 1 + 1)*(0 + 3 - 1) + (0 - 18 - 15)*(-4 + 5 + 0))*(-l + 2*l + l) as q + z*l and give z.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*r**2 + 34*r**2 - 61*r**2 to the form c*r**2 + d*r + s and give c.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1269*h**2 + 8*h. Let l(n) = -12688*n**2 - 78*n. Determine -39*b(i) - 4*l(i).\nAnswer: 1261*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**3\/3 + 2*o**2 - 6*o - 5. Let a be c(-6). Solve -m = 2*m + a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3551 or 3883?\nAnswer: 3551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.31 + 10.309958382. Round o to six decimal places.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183775637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*n**2 + 11*n**2 - 3*n + 19*n**2 + 0*n)*(-5*n**2 - 5*n**2 + 4*n**2).\nAnswer: -30*n**4 + 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**2 + 38466050*h + 73981850130125 = 0. Calculate h.\nAnswer: -3846605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1063, -3, -5, -7, -2, -4, -676 in increasing order.\nAnswer: -676, -7, -5, -4, -3, -2, 1063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 342 - 90. Let o = m - -428. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at most as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.541 - -0.059. Let f = q + -0.6. Let n = -16 + 18. Which is the second smallest value? (a) -1 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 48\/21 - 69\/28?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -272*u + 5 - 105*u + 18*u - 1 + 31*u in the form g*u + m and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -780*t - 19876 - 11267 = -432*t + 1135*t for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-18))\/((696\/(-32))\/(27\/24))\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 536*g**2 + 4*g - 70. Let c be s(-4). What is the greatest common factor of c and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 47*m**2 + 5*m + 3. Let k be j(3). Suppose 0*z + 7*z - k = 0. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 20*o + 3. Let l be b(-10). Let i(n) be the second derivative of 0 - 2*n**2 - l*n - 1\/6*n**4 + n**3. Factor i(a).\nAnswer: -2*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 899 = 2*c, 0 = -2*c + c + 2*j + 472. Let n = 753 - c. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89387665*l**6 + l**4 - 97941*l**2 + 172*l.\nAnswer: -10726519800*l**3 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -31 + -15 - -24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -285538 by -2.\nAnswer: 142769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -20*g + 832. Let x = -62 + g. Suppose -x*y + 126 = 3*i, 3*i + 0*y - 126 = 2*y. What is the remainder when i is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 283 - 17660?\nAnswer: -173aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3198 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5071\/6 - 2915\/3. Let j = -979\/8 - x. Find the common denominator of j and -53\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 - 4*b - 23 + 58 + 36.\nAnswer: -4*b + 180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -6.966?\nAnswer: 6.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -13*s - 4. Let q(v) = 0*v - 3*v - 1 + 2*v - 3*v. Calculate 4*g(u) - 14*q(u).\nAnswer: 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g = -187. Suppose 0 = -3*v + 4*c + 196 + g, 2*v = 3*c + 254. What is the remainder when v is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -24*y**4 + 9*y**3 - 18*y**2 + 48*y - 18. Let m(t) = t**4 + t**3 - t**2 - 2*t + 1. Let v(z) = b(z) + 18*m(z). Factor v(o).\nAnswer: -3*o*(o - 2)**2*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 7:10 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -7. Let c be 1\/(14\/o + -2). Suppose 3*b = 2*b. Solve b = 4*j + 5*g - 2 - 0, 6 = c*g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/7)\/(195\/(-1820))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 8, b: 8}. Give prob of sequence tn.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/(-15))\/((-4)\/(-10)). Let b = 99 - 104. What is the second smallest value in -1\/6, c, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 25 - 26*j**2 + 4*j + 42 as x + l*j + b*j**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*r + 240. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*x - 3*i - 105, -i - 5 = 0. Calculate the remainder when 195 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267856991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/((2*sqrt(108))\/sqrt(12))*1*4)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/165 and -2\/45?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*o = 137, -7*o = -2*k - 9*o + 70. Solve -2*p = -10*p + k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**4 - 2*p**4 + p**4 + (0*p**2 - 2*p**2 + 3*p**2)*(-2*p - p**2 + 2*p) + 0*p + p + p**4 + 0*p as n*p**4 + z*p + j*p**3 + a*p**2 + d and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 3:48 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*m - 16*m - 1680. What are the prime factors of m?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48133, 47954, 47777, 47602, 47429?\n\"Answer: w**2 - 182*w + 48314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -296 + 296. Suppose w = 4*b + 2*j - 228, b + j = -0*j + 56. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptxxqqqqqggtqpqqtqq. Give prob of picking 1 t and 1 x.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 30b8?\nAnswer: -30b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-385))\/((-18)\/63).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/(b*b**0))*b)**(-29) assuming b is positive.\nAnswer: b**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3 - (11 + (-18 - -10))) + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 + 20*c**2 + c + 22. Let l be d(-10). Suppose -219 = -3*u + l. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.597 to zero dps.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2945 is divided by 750?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 - -122. Let d(i) = 10*i**2 - 5 + i**3 + 7*i - 4 - 4. Let z be d(-9). Calculate the greatest common factor of z and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17\/2, -3, 30\/7, -5, 2\/7 in decreasing order.\nAnswer: 30\/7, 2\/7, -3, -5, -17\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 6*k**2 + 6*k. Let i be y(5). Suppose -x = 4*f + 143, -f + 0*x = -i*x + 41. Calculate the common denominator of f and 10\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21836 + 11671 = 709*n - 18617 + 17383 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 37. Solve -i + 3*f - f + 10 = 0, f - w = -4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((5 - 28) + 8 - -11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 15. Are u and 16\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**6\/4 + 15*s**3\/2 - 4*s**2 - 5. What is the derivative of w(a) wrt a?\nAnswer: 90*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 112878?\nAnswer: 112880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26931477.\nAnswer: 3, 8977159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -256b (base 14) in base 2?\nAnswer: -1100110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5\/3*w**2 + 0 + 5\/3*w**4 - 10\/3*w**3 + 10\/3*w = 0. What is w?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 + 42*h**2 + 37*h - 18. Determine i(15).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/(27\/36)*(-2)\/26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - f**2 + f + 6. Let s(p) = -p**2 - p - 1. Let c(g) = a(g) + 3*s(g). Let u be c(-3). Sort 0.5, -4, u in descending order.\nAnswer: 0.5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n + 16. Suppose -5*y + 3*y = -n. Suppose -i - y*i + 95 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Suppose 3*n + 5*g + 5 = -0, -5*n - 2 = 2*g. Solve 10 = -n*v + r*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108672, 434826, 978408, 1739418, 2717856, 3913722?\nAnswer: 5327016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-495)\/(-440) + (-2)\/16. Solve 5*c + g = b, -5*c - 37 + 16 = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960)*4 - sqrt(60))*-6)\/(-2*1*sqrt(192)).\nAnswer: 45*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -157*w - 13017 + 13017 as y*w + x and give y.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/6 - 3\/(-3))*(-26 - -70).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/8 + 11*u\/2 = 0. What is u?\nAnswer: 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 180215839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1349 + 1366. Solve -10*q - i = 7*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) 1 (c) -2\/37795 (d) 1\/21 (e) -1\/3 (f) 80\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -14 - 17 - 5*u + 5*u**2 - 6 - 4*u**2. Let w be o(-4). Let x = 2.96 - -0.04. Which is the nearest to -1? (a) w (b) 2\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 0.2 (b) 2\/17 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Suppose 2*d - h = -0. What is the first derivative of 2*u - d - 2*u - 2*u wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.29 - 0.01. Let p = 411 + 131. Let d = p - 544. Which is the nearest to 0? (a) d (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32453?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.083 times 1.1177225\nAnswer: 0.0927709675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2830.06058 + 2830. Round n to 3 dps.\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*x = -52, 5*m - 3*x + 2*x - 76 = 0. Calculate the remainder when 31 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((538 + -536)*(-1 - (0 - -1)))\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*sqrt(19) + sqrt(38)\/(sqrt(2)*-4))**2.\nAnswer: 65*sqrt(19)\/2 + 3611\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, v: 2}. What is prob of sequence vv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-188)\/(-141))\/(2\/(-12)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3447605 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 570?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53514363?\nAnswer: 3, 7, 79, 32257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + 3.7. Let r = k + -7. Are 2 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s - 10*s = 10*s + 7*h + 915, -h = 6*s - 5*s + 132 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128605288?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - -745. Round n to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 4, -26 in descending order.\nAnswer: 5, 4, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 72, 57, 30, -15, -84, -183?\n\"Answer: -b**3 - 8*b + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 t, and 1 n when four letters picked without replacement from nbnbntbtbbbbtnhbbttv.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -5*v - 28*z, -27429 = -3*v - z - 27454 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k + 11. Let z(y) = 2*y + 10. Suppose -3*q - 5*h = -5, 230*q - 231*q + 15 = -5*h. Determine q*r(x) - 6*z(x).\nAnswer: -2*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441534 (base 8) in base 16?\nAnswer: 6435c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22741911 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.789208 take away -1818716.9?\nAnswer: 1818712.110792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 7) to base 9\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3*(-3 - 1)\/(1120\/(-2520)). Let p(m) be the second derivative of 5\/2*m**4 + 25\/2*m**2 + 0*m**f + 29*m + 0. Differentiate p(q) with respect to q.\nAnswer: 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 3.3739 (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 22. What is the least common multiple of q and 52?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13 + 0.53. Let y = -76\/3 + 26. What is the nearest to y in -1, u, -1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*y**6 + 7*y**5 - 12*y**4 - 2*y**2 + 294*y - 1 wrt y?\nAnswer: -360*y**3 + 420*y**2 - 288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4171.8775 to the nearest 10.\nAnswer: -4170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 290 (b) 27 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 5277*q - 188767. Calculate i(-36).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5192.331 millennia to centuries.\nAnswer: 51923.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -62101 in increasing order.\nAnswer: -62101, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 1 - 0)\/(12\/16). What is the third derivative of 41*w**3 - 40 - 20*w**2 + 26*w**2 - s*w**2 wrt w?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -995, -23 in increasing order.\nAnswer: -995, -23, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3692323810?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/140 - 1\/(-10).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 14630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*10 - 1*(-17 + 21).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + 7558?\nAnswer: 7568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*-1*4\/8. Suppose -v*t + 20 = 4*b, b + 2*b + 51 = 4*t. Let f = -9 + t. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82258 by -2.\nAnswer: 41129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29, -102, -205, -326, -453, -574, -677?\n\"Answer: 2*n**3 - 27*n**2 - 6*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 10:36 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2. Let p = 2.5 - 1.3. Let t = -1 + p. What is the nearest to b in -3, t, 5\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-3)*(-2)\/(-54). Which is the third biggest value? (a) 2\/11 (b) 30 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4 + 26*b**3 + 21*b**2 - 104*b - 100 = 0.\nAnswer: -25, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 929*m - 910*m + 7 - 7. Let x(i) = 4*i. Calculate n(x(u)).\nAnswer: 76*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 8, -5, 1, -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 12 - 9*g + 27 + 7*g - 4*g**2.\nAnswer: -4*g**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 132971*w**3 + 8056*w wrt w.\nAnswer: 797826*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*j + 239 - 239)*(-1 - 5 + 9).\nAnswer: -93*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 469 + -213. Suppose -3*s = -4*j - q, s + 3*j - 249 = -2*s. Calculate the greatest common factor of 105 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 - 15 - (-155 + -85 + 253)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36.05 + 39.159. Let t = 0.109 - s. Let n = -4.3 - -4. Put n, t, 1 in ascending order.\nAnswer: t, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.33 (b) -279 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -4, -32, 3, 401 in increasing order.\nAnswer: -32, -4, 3, 12, 401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**5\/60 - 2*p**3 + 16*p**2. Let u(x) be the first derivative of n(x). Let l(b) = 18*b**2. Give u(l(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + 0 + (-4*sqrt(392))**2 + sqrt(392) + 0 + -5.\nAnswer: 14*sqrt(2) + 6265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 729, 1452, 2173, 2892?\n\"Answer: -r**2 + 726*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14*-49\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-138)\/115 - -3)*-5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89689243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 0, 9, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 11) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251638 is divided by 41937.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*j + 621 = -12*j + 117 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -7*f**3\/6 + 2*f**2 - 4*f. Is d(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 866074.3 meters in kilometers?\nAnswer: 866.0743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1.5 (b) 0 (c) -80 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 211893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 47 + 39 + 51 - 138. Let b(o) = 1 + 2 + 3 - o. What is -b(k) - 2*u(k)?\nAnswer: k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190513882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 7, 1858 in ascending order.\nAnswer: 2, 4, 7, 1858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - 34. Suppose 3*g + g + t = 0. Let j(o) = -3*o + 2. Let d be j(g). Solve 2*u = u + 5*b + d, -2*u + 7 = b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**2 + 14*r**2 + 14*r**2.\nAnswer: 35*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 103, 93, 79?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**4 - j - 2*j**3 - 105*j**2 + 109*j**2 + 4*j**3 - 2 to g*j**3 + x*j + l*j**4 + m*j**2 + q and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k + 7. What is the remainder when g(10) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tns. Give prob of sequence ts.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9862777mm in micrometers?\nAnswer: 986.2777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (3 + -2) - 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8853 and 552.5.\nAnswer: 4891282.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170298468 and 156106929.\nAnswer: 1873283148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 7 - 15 + 3*d)*(0*d - 3*d + d).\nAnswer: -6*d**2 + 18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2269.63032 to the nearest ten.\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*v**2*z**2 + v**2*z + 15*v*z**2 - 154*v*z - 3*z - 2 wrt z.\nAnswer: -46*v**2 + 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}