diff --git "a/data/dm_maths/full_data_1/2134_11255.jsonl" "b/data/dm_maths/full_data_1/2134_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2134_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let q = 26328 + -26340. Let u(x) = -2*x**2 - 25*x - 12. What is u(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 2*4\/((-24)\/(-51))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180164, -180150, -180136, -180122, -180108?\nAnswer: -180094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2406 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 7:00 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + sqrt(133) + (sqrt(133) + (sqrt(133) - sqrt(133)*-1))*1 + sqrt(133) - sqrt(133))\/(sqrt(35)\/(sqrt(5) - sqrt(20))).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116 - -222. Suppose 5*a = 4*p + 48 - 329, 4*p + 118 = -2*a. Let u = c + a. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4544*u**2 - 4534*u**2 - 10*u - 3 + 3*u**3 - 4*u**3. Suppose -o - i + 1 = -6, 2*o - 2*i - 18 = 0. What are the prime factors of d(o)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**2\/2 - 2*l + 5. Calculate b(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(117) + -3 - (sqrt(13) - sqrt(104)\/sqrt(8)*5))**2 + -3 + (-6*sqrt(416))\/sqrt(2) + -5).\nAnswer: -2552 + 264*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - 635047?\nAnswer: -635038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52196?\nAnswer: 2, 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d - 135. Let r(m) = -9*m - 270. Calculate 3*r(s) - 5*y(s).\nAnswer: -2*s - 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.4, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -171.44 and 2.\nAnswer: -169.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2*-4 - ((sqrt(153) + -1)*-6)**2)*6.\nAnswer: -33264 + 1152*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, 5, 16, 41, 86, 157, 260, 401?\n\"Answer: n**3 - 2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)*f*f**(-9\/2)*f)**(6\/13)\/((f\/f**(-2\/7)*f**(-1\/3))\/((f**5\/f)\/f**(-1\/3))) assuming f is positive.\nAnswer: f**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 225015*h - 1575058. What is s(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (288\/(-60) - (-8)\/10). Calculate the remainder when 103 is divided by n + 2 + -4 - -32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/18)\/12*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"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: What is prob of picking 2 i, 1 p, and 1 s when four letters picked without replacement from {i: 7, p: 6, s: 2}?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 14*k**2 + 4. Let c(u) = 76*u. Let z(d) = 46*d. Let y(t) = -3*c(t) + 5*z(t). Calculate n(y(a)).\nAnswer: 56*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 579 divided by 1?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15886 and 282.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**4*k - 1780*i**2*k**2 - 13*i*k**2 + i*k + 3*i - 23*k**2 wrt i?\nAnswer: 24*i**2*k - 3560*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5)*s**(-1\/2)\/s*(s**(2\/5)*s)**10)\/((((s\/s**(-1\/4))\/s*s*s)\/s**(-5))\/(s**(-5)\/(s\/s**(-2\/9)))) assuming s is positive.\nAnswer: s**(-247\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 25*t**2 + 26*t - 34. What is the lowest common multiple of 14 and a(24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2849 = -3*j - 5*z, 2*z - 2229 = -3*j + 617. Suppose 0 = 4*s + 2*c - j, -c - c = -s + 232. Is (-3)\/(-9) + s\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from {o: 5, a: 5, u: 2, f: 2, t: 2, b: 1}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 7321235?\nAnswer: -7321245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.14441 - 737.26441. Let g = r - -637.1331. Let w = g - -100. Round w to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 98*d**2 - 50*d**2 - 53*d**2 + 2*d + 14*d to the form c*d + x + m*d**2 and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/2)\/(1\/1). Find the first derivative of r + 3*v - 3*v - 6*v wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1173 + 1269. Suppose 4*f + 2*b + 2*b - 28 = 0, 4*f = -2*b + 38. What is the highest common factor of f and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 23*u**5\/5 - 25*u - 7. What is the first derivative of w(a) wrt a?\nAnswer: 92*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -9*o + o - 5*q + 3*q - 40, -o = 144*q - 710 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/28032 and -163\/270.\nAnswer: 1261440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**(2\/15)*o)\/o)**(-26)\/(o**6\/((o*o**(-1\/8))\/o*o)) assuming o is positive.\nAnswer: o**(-4151\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**5\/(g**11*g)*g*(g*g*(g\/((g*g\/(g\/(g\/(g\/((g*(g\/(g\/(g\/(g**(-4\/3)\/g))))\/g*g)\/g*g)))))\/g))\/g*g)\/g*g*g*g*g*(g\/(g**(-2)\/g))\/g assuming g is positive.\nAnswer: g**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13b215 (base 13) in base 5?\nAnswer: -110401444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/36 + (-40)\/(-18). Let d be -28*q\/10*-5. List the prime factors of 2\/(-7) + 204\/d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.052 + -0.602. Let k = t + 5.55. What is the second smallest value in 1\/10, k, 3, -5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001495 to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -12, -68, -5 in descending order.\nAnswer: 13, -5, -12, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16258360 divided by -812918?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13837 (base 10) to base 4.\nAnswer: -3120031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/(-8) + 1\/(-4). Let j be (9\/(-6))\/(6\/b). Solve -q + 2 - j = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**3*v - 2*i**2 + i*v - 4820*i + 7754*v wrt i.\nAnswer: 3*i**2*v - 4*i + v - 4820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 7) + (132 - 118)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 + w - 3*w + w**3.\nAnswer: w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12669 divided by 3?\nAnswer: -4223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 2*l**2 - l. Let b be i(-2). Let c(v) = -14*v + 310. Let t be c(22). Find the second derivative of 18*q**2 - 10*q**b - 17*q + 10*q**t wrt q.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 261\/4 + 24\/32. Let p = -1086 - -1130. What is the highest common divisor of p and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*(54\/(-6) + 15)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7 + 20 + 22 - n - 24. Let s be y(15). Let p be (-1989)\/(-15) + (-6)\/s. Calculate the highest common divisor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5080748754 rounded to 2 decimal places?\nAnswer: -1.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 623189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 1)*(1 + 0 + 1)*(914 - 404*d - 914) to m*d + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggoooogoooooogoogo. Give prob of sequence go.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-30)\/(-4) - 8)*(-14)\/21)\/((-1)\/159)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 44.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110000011 + -10001010111010?\nAnswer: -11111000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10833850823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (17 - 4)\/((-1)\/(-5)).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*k + 78 = k, 0 = 4*f - k - 364. What is the least common multiple of f and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*l**2 + 35*l**2 + 21*l**2 - 109*l**2.\nAnswer: -133*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*v + 3*g, 5*v - 19372*g + 15 + 3 = -19339*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29157*b*i - 8921*b - 7523*i - 22296 wrt i.\nAnswer: 29157*b - 7523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12513519 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7004 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -770367, -770364, -770361?\nAnswer: -770358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**2 - 6*g + 11. Let p be z(-2). Let i = 8 + -6. Sort -3, p, 4\/3, i.\nAnswer: -3, 4\/3, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, b: 1, c: 1, d: 2, w: 1, k: 2}. What is prob of picking 1 b, 1 j, and 2 d?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 y when four letters picked without replacement from {y: 4, d: 2, c: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + h + 17 = 0, -3*k - 4*h - 16 = -2*k. Let b(y) = -1483*y**3 - 7*y**2 + 5*y + 4. Let c be b(k). What is c rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + 2*g**3 + g**3)*(-19 + g + 19)*(10 + 8*g - 10 + (3*g - 6*g + 4*g)*(0 + 3 - 2)).\nAnswer: 27*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 10527?\nAnswer: 2\/10527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 15*n + 169. Let a be d(-11). What is the third smallest value in 34, 0, a?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4 + 14844*a**3 + 195226*a wrt a.\nAnswer: 24*a**2 + 89064*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**6\/45 - 2*n**5\/3 - 43*n**4\/18 - 22*n**3\/9 + 100*n. Solve m(f) = 0 for f.\nAnswer: -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*a - 96. Suppose 0 = k + a - 81. Solve 0*z + 3*z = -k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12ba6 (base 12) to base 16\nAnswer: -652e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, b: 3}. What is prob of picking 1 b and 3 s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**7\/o)**15)**(-2\/53) assuming o is positive.\nAnswer: o**(-180\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4 + 6*k**3 + 11*k**2 + 6*k = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88146 is divided by 4740?\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -19) + -11 + 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0.0568, -669, 1, 1\/3 in decreasing order.\nAnswer: 10, 1, 1\/3, 0.0568, -669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pejeujneereeeenpeep. What is prob of picking 1 p and 1 j?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7373\/13 - -1084598\/1911. Find the common denominator of 25\/147 and g.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51912 * 16\nAnswer: -830592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 79181080 divided by 110\nAnswer: 719828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/171 and 20\/27.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 3:00 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4106154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/19))**(1\/15)*(r**(5\/11)\/r)\/(r*r\/(r*r\/(r**3\/r*r))) assuming r is positive.\nAnswer: r**(-10928\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkwkw. Give prob of picking 1 w and 1 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-15)*(-2 + 57\/(-19)) + (-2 - -23)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 3*q + 7*q)*(-q**2 + 3*q + 3*q**2 - 2*q) as y*q + t + s*q**2 + p*q**3 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 193816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + 3 - 3 + (-4 + 2 + 1)*(3*m**2 - m**2 - 3*m**2) + m**2 + 3*m**2 - 3*m**2 + (-3 - m + 3)*(-309*m + 302 - 302).\nAnswer: 313*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/15 + 47\/(-15). Let f = -213 + 414. Let z(g) = -3 + 3 - 203*g + f*g. Give z(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 11. Suppose -2*o = 5 - b. Let v be (-4)\/3*(-24)\/16. Solve -6 + v = -o*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157034459 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fvvvvfvvvf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -708712 (base 14) to base 16\nAnswer: -39cd4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 444*l**5\/11 + 442*l**4\/11 - 446*l**3\/11 - 442*l**2\/11 + 2*l\/11 = 0.\nAnswer: -1, 0, 1\/222, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 205 or 240?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = i - 3*x - 21, -5*x = -i + 31. Is (-6)\/9 - (-142)\/i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gamaj. Give prob of picking 2 a, 1 j, and 1 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/488 and -83\/227408?\nAnswer: 227408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10 + (-416)\/(-65)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 6) to base 5.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 68 = 4*z + 17, 0 = -z - 2*r + 11. Let k(o) be the first derivative of 6*o - 21\/2*o**2 + 3*o**4 - 5*o**3 + z. Let k(l) = 0. Calculate l.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149906571*c**2*z + 4104*c*z + 31363*c wrt c.\nAnswer: -299813142*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 3150*f + 18792.\nAnswer: 3*(f + 6)*(f + 1044)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -147, 6, 20, 5, -5, -6 in decreasing order.\nAnswer: 20, 6, 5, -3, -5, -6, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**3 - 2*l**2 - 6*l - 5. Let i(a) = 3*a**3 - a**2 - 5*a - 4. What is 6*i(s) - 5*w(s)?\nAnswer: -2*s**3 + 4*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 1. Let b(q) = -98*q + 5. Let z(p) = b(p) - n(p). Is z(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -74*q + 310*q - 76*q - 76*q - 63 - 77*q. What is j(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4336474 = 4336463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 3*m - 266 = -328, 2*x - 56 = -3*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -163 + 258. Let q = 99 - w. Solve 2*b - q = 3*u, 0*b + 26 = 4*b + 3*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*n**3 + 0 + 150*n - 167*n + 0 wrt n.\nAnswer: 150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 25*r**2 - 39*r + 167. List the prime factors of d(6).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.967 * -0.3.\nAnswer: -6.8901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 + (-7)\/22. Let l = 1.002 - 1.202. Which is the second biggest value? (a) 3 (b) -4 (c) n (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -272552, -272553, -272554?\n\"Answer: -o - 272551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 960*n**3 - 24*n**2 - 718*n - 5. Let g(k) = 960*k**3 - 18*k**2 - 716*k - 4. Let z(h) = -4*g(h) + 3*y(h). What is the second derivative of z(m) wrt m?\nAnswer: -5760*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4 = 2*l, 5*l - 309 = 4*h - 344 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 12*l. Let a be b(12). Suppose -4*r + 78 + 102 = a. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from {w: 1, c: 1, q: 2, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21883 is divided by 1379?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u**3 - 27*u**3 + 74*u**3 - 24*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 14 - 2. Let q = -6 - d. Let z = 12 - q. What is the greatest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27629579 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2795495 is divided by 2083?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (396\/(-24))\/33*-16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 3)*(1707*j**5 + 2172*j**5 + 163*j**5 + (6*j + 0*j - 4*j)*(-2*j**4 + 2*j**3 - 2*j**3) - 2*j**5 - 3*j**3 + 3*j**3).\nAnswer: 16144*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m + 30. Calculate k(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3451 a factor of 307124093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -209 + 140. Let w be (-5)\/(-3)*u\/(-460). Let 0 - 1\/4*j**3 - w*j**2 + 0*j = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 9*o + 8. Let k be m(7). Let l = k + 19. Suppose 4*n - 2 - 18 = 0, -y = -3*n + l. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, i: 1, p: 3, e: 1, c: 1}. What is prob of picking 2 p and 1 i?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24950?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f**2 - f**3 + 5*f + f**2 + 4*f + 6 + 4. Let m be v(-8). What is the first derivative of -1 + 3*i + m*i**3 - 2 - 3*i wrt i?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) 3 (c) -0.09 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r - 8*r + 7*r)*((12*r + 14*r + 11*r)*(4*r + 6*r - 3*r) + r**2 - r**2 - r**2 + (-2*r + 1 - 1)*(1 - r - 1) + 3*r**2 + 0*r**2 - r**2).\nAnswer: 1572*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43678083, -43678073, -43678063, -43678053, -43678043?\n\"Answer: 10*n - 43678093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -19863839*j**2. Let h(n) = n. Calculate f(h(r)).\nAnswer: -19863839*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -181, -121, -23, 107, 263, 439?\n\"Answer: -b**3 + 25*b**2 - 8*b - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 694*y - 137*y + 681*y + 128*y + 334*y.\nAnswer: 1700*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.312458 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 3\/8*w**3 + 33*w**2 + 0*w + 0 - 1\/40*w**6 + 5\/16*w**4 - 9\/80*w**5. Let k(d) = 0. What is d?\nAnswer: -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + 2*m**2 + m**2 + (10*m + 6*m + 0*m)*(-13*m - 131*m + 9*m))*(-1 - 4 + 6).\nAnswer: -2162*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 4*c + 2. Let d(s) = s - 4. Let o be d(-7). Let g be 2\/o + 395\/55. Suppose -g = i - 4. Calculate z(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + k - 15 = -z, -3*z - 3*k - 3 = 0. Calculate the remainder when 17 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238.1025 tonnes to nanograms.\nAnswer: 238102500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 12*c**2 + 2*c - 4. Suppose -7*t - 24 = -3*t. Let h be l(t). What is h rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven quarters of a week?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 + -63. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*v + 24 - 1. Which is smaller: -3\/13 or v?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -14*t - 4. Let c = -1.1 - -0.1. Let f = c + 3. Put 2\/9, f, t in decreasing order.\nAnswer: f, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-three fifths of a century?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 187071515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9}. Give prob of picking 4 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 48. Solve 0 = -q - 2*k + 1, x*q + k - 3*k + 6 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**8\/j**(-37) assuming j is positive.\nAnswer: j**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34690149.\nAnswer: 3, 13, 17, 107, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1109 - 1107. Is b greater than -1\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 21*b + 70. Let y(a) = 23*a + 69. Let n(z) = 3*t(z) - 2*y(z). Differentiate n(i) wrt i.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*a - 14 = 0, 22*d - 18*d + 4*a = -24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 14*m - 12. Let d be a(13). Solve 5 = 2*r - d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*4\/(-6) - 2. Suppose -4*m = -5*m + 9. Suppose 0*k - m = -3*k. Solve h = -2*g - j - 3, -j = 2*g + k*j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l - 55 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-616)\/(-18) + 6\/(-27). Suppose 28428 = y*h - 30086. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 386070 and 308856?\nAnswer: 1544280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**7\/1155 + y**6\/330 - 5*y**2 - 23*y. Let q(z) be the first derivative of s(z). Find j such that q(j) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1314, -1338, -1366, -1398, -1434?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 6*i**2 - 9*i + 9. Let c be r(7). What is the units digit of (-57)\/(-15) - 1\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(152)\/sqrt(128) + -1 + 0 + (2 + sqrt(19))*6.\nAnswer: 10 + 25*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 8) to base 4.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -89, -173, -253, -329?\n\"Answer: 2*v**2 - 90*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3404021419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h**3 - 50*h**3 + 39*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8365 + -8361. Which is the smallest value? (a) 0.2 (b) -2\/5 (c) i (d) -53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1698936, 1698932, 1698928, 1698924, 1698920?\n\"Answer: -4*s + 1698940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5*c = -60, 157*y - 68*y - 3*c = 81*y + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*d**2 - 30*d**2 - 14534*d**3 - 22*d**2.\nAnswer: -14534*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26\/17157 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*102.516\nAnswer: -51.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1994.4859 * 0.4.\nAnswer: -797.79436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591 + 2*u - 496 + u - 4*u + 1098.\nAnswer: -u + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 23, 42, -0.4, -0.3, -6, 19\/2?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/17011 or -1?\nAnswer: -7\/17011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxhhphph. Give prob of picking 2 p and 1 h.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suyssqvs. What is prob of picking 1 y, 1 v, and 1 u?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0812 - 0.063. What is n rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11550, 46557, 105020, 186945, 292338?\nAnswer: 421205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -47, -46?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 36 + 99 - 28*d + 69.\nAnswer: -28*d + 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -116709 (base 10) in base 12?\nAnswer: -57659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 617 = 3*k + 569. What is the tens digit of k + -3*4\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2, -1, -477, -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -39. Let h(l) = -5*l - 57. Let s be h(-15). What is the greatest common factor of s and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 39\/15 - (-88)\/(-120). Let v = -0.9 + 1. Which is the nearest to v? (a) 5 (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.9 in -3, -0.4, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -21*q**3 + 107*q**2 - 20*q - 4. Determine k(5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840 divided by -278811.\nAnswer: -280\/92937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 25*x - 4*x + 3 - 3. Let a be w(1). What is the tens digit of 2\/3 + 259\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*o - 18 = a, -2*o + 18 = 5*a. Suppose -s - a*t = -4, 0*s = -4*s + 4*t + 16. Solve s = -0*i - 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30241 is divided by 105.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.7 + -20. Let m = s - 0.715. What is m rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n. Suppose u + 4 = 6. Suppose -5*a + 10 = 0, -5*s - a + 3*a + 41 = 0. Let i(y) = u*y - 9 + s. Calculate i(t(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 71156, 71091, 70918, 70583, 70032, 69211, 68066?\n\"Answer: -9*m**3 - 2*m + 71167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24231222.\nAnswer: 2, 3, 17, 79187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7336 or 77125?\nAnswer: -7336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, b: 10, w: 6}. What is prob of sequence bvbb?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 = 0, -4*i = 5*t - 71 + 10. Calculate the remainder when 165 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -39\/12724?\nAnswer: -39\/12724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, x: 2, v: 1, m: 1, o: 8, q: 3}. What is prob of picking 2 u?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k - 1. Let h be c(-1). Let d(z) = 2*z**2 - 11*z + 5. Let s be d(h). Solve s = x - 1 - 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, u: 3, v: 4, b: 10}. What is prob of picking 2 b?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 4*a - 25. Let j be b(-9). Let r be ((-2)\/(-4)*2)\/(23\/j). Suppose -5*l = 3*d - 382, -3*d = r*l - l - 378. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*r = -155, 44 - 6 = -v - 2*r. Let d = v - -47. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 5*r - 88, 2*r = 17218*h - 17223*h - 42 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -63752 (base 9) to base 11\nAnswer: -29754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -1315886*y**2 - 13975*y - 41925. Let q(m) = -565*m**2 - 6*m - 18. Give 6*h(b) - 13975*q(b).\nAnswer: 559*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11100110011000100 (base 2) to base 14\nAnswer: 30db6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 397750873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -38054665 rounded to the nearest 100000?\nAnswer: -38100000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 991741 + -a4?\nAnswer: 991648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25754404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 5*j**2 - 4*j - 1. Let q be x(4). What is the tens digit of q + (-5 - -4) - -169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -164, -217, -250, -263, -256, -229?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5*sqrt(288)*2 - (-3 + sqrt(288) + sqrt(288)*2)) + -5)**2 + 1.\nAnswer: 11424*sqrt(2) + 226082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 4:44 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*z**6 + 104*z - z**2 - 102*z - 2*z**2 wrt z?\nAnswer: -960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/7*(10780\/(-3872))\/(-35).\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/45 - 13\/35.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6653972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 2*p + 1\/12*p**4 + 1\/6*p**3 + 0 + 1\/2*p**2. Let j be b(-2). Is 3 != j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70b3 (base 14) to base 2.\nAnswer: -100101110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 138894\/11 (c) 2\/5 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*m**2 - 4 - 12*m**2 - 1 + (-4*m**2 + 2*m**2 + 8*m**2)*(17 + 2 - 3) in the form h + n*m**2 + o*m and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**6\/1800 - b**5\/600 + b**4\/60 - 7*b**3\/3 + 7. Let f(m) be the third derivative of o(m). Suppose f(v) = 0. Calculate v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402908 divided by -2652?\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 4, u: 1, g: 7}. Give prob of picking 2 b.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - ((188 - 61) + -61)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 0.3187552.\nAnswer: 2.8687968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 - 1.31. Let k = l + 1.2. Let s = -11\/72 - -3\/8. Which is the second smallest value? (a) -10 (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**4 + p**3 - p + 1. Let s(h) = 4*h**4 + 16*h**3 - 16*h + 12. Let o(g) = -s(g) + 8*v(g). What is z in o(z) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9344687 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012.3 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8969891.\nAnswer: 7, 183059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 6*h**2 - 4*h - 4. Let v be i(5). Suppose 0 = k - 2 - v. Find the third derivative of q**2 - 2*q**k - 3*q + 3*q wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o + 3*o**4 + 2*o + 3*o**4 - 6*o**4 + 4*o**4 + (-22 - 7*o**3 + 22)*(-o - o + 5*o) to h + w*o**4 + j*o**3 + u*o**2 + y*o and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 8704.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 10*q**2 + 3. Let u be ((-20)\/6)\/((-4)\/(-12)). Let x be a(u). Suppose -5*z + 4*z + x*c + 6 = 0, -2*z + 4*c = -10. Solve -z*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11469?\nAnswer: 3, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -9. Let v = m + 50. Suppose -53 - 131 = -4*s. What is the remainder when s is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y - 4. Let d be f(-4). Let t be (-27)\/(-15) + 4756\/205. Are d and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -14. What is the remainder when -3*13*4\/(-6) is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 10. Let f be a(8). Let s(r) = r**2. Let c be s(2). Suppose -18 = -2*v + f*x, -2*v - c = -6*v - 4*x. Solve -n + 2 = -2*u, -u = v*n + 7 + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4140 = -6*d + 11*d. What are the prime factors of d\/(-15) + (-1)\/5?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hugp when four letters picked without replacement from {p: 3, u: 3, d: 1, h: 3, g: 1, x: 2}.\nAnswer: 9\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5\/373, 2.8, -21?\nAnswer: 5\/373","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9115*r - 168905 - 806400 for r.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(8\/(-6)))\/((-43)\/3440*24).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 41*y = 28*y - 80 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -423 divided by 8?\nAnswer: -423\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-4\/13))\/q*q\/q**14*q**(-2\/13)*q*q\/(q**(-2\/5)*q) assuming q is positive.\nAnswer: q**(-744\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 24*f**3 - 506*f**2 + 39*f + 24. Determine v(21).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygyyyyyg. What is prob of sequence gy?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 - 5*l - 6. Let n(j) = -4*j**2 + 4*j + 5. Give 5*n(x) + 4*z(x).\nAnswer: -8*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29797717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 6:23 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 1221120?\nAnswer: -1221103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1068996.3ms to minutes.\nAnswer: 17.816605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-3) + (1 - -4). Suppose 5*b - b = 60. Suppose -2*d = 3*d - b. Put d, r, -3 in decreasing order.\nAnswer: r, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19766359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + sqrt(91)\/(sqrt(63) + sqrt(7))) - (sqrt(130) - (sqrt(130) + sqrt(130)*-2)*2)\/(sqrt(40)*-6))**2.\nAnswer: 63*sqrt(13) + 5821\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**5\/2 - 103*h**4\/2 + h**3 + 103*h**2 - h\/2 - 103\/2 = 0.\nAnswer: -103, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(4*g + g - 6*g)*(-251 + 236*g + 251) in the form k*g**2 + l + y*g and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1 + (-1 - 1 + 0)*(2 - 2 + 2) - 3 - 1 + 2 + 4 - 1 - 6)*(0 - 2 + 0)*(0*a**2 - a**2 + 2*a**2).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4845 and 1530?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 18, 30, 46, 66?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.5 (b) 1.0145 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6 = -28. Calculate the remainder when 59 is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52739 and 29854.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*k - z, -5*k - 35 = -2*z - 60 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 331 = 2*g - u, 4*g - 330 = 2*u. Suppose -v + 29 = -4*h, 98 + g = 5*v - 2*h. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11552\/(-63052) + 6\/33. Is 0 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -23)*1*8\/(-24).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.06619 to two decimal places.\nAnswer: 5.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(18\/81).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18.61 and 335?\nAnswer: -6234.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.476159311682 + -2.6?\nAnswer: -2.123840688318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48140)\/(-34) - (274\/(-17) + 71 + -55). Calculate the highest common divisor of h and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 - 40*z**2 + 11834*z\/7 - 133956\/7.\nAnswer: 2*(z - 61)**2*(z - 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r + 15. Let a(x) = 2*x + 9. Let w(j) = 7*a(j) - 4*f(j). Suppose 0 = 3*c - 21 - 0. Give w(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, 9, 25, 49?\n\"Answer: 4*w**2 - 4*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -109437425927 less than 3?\nAnswer: 109437425930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(10\/(-4)) - 120\/40.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0*o**7 + 0*o**4 + 0*o**6 + 0 + 0*o + 0*o**3 + 1\/336*o**8 + 1\/20*o**5 + o**2. What is the third derivative of w(z) wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*n**5 - 604*n**2 + 4*n**5 - 201*n**2 + 3*n**5 - 541*n wrt n?\nAnswer: 40*n**3 - 1610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 plus -276394137?\nAnswer: -276393568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) -686 (c) 3 (d) -5 (e) -3 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14985, 59977, 134955, 239913, 374845, 539745?\nAnswer: 734607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 267537? (a) 9 (b) -1 (c) 52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4188727, 4188717, 4188707, 4188697?\nAnswer: 4188687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.793 + -3054944.94.\nAnswer: -3054941.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 8 = -2*x + 6*s, -3*x + 14 = -2*s. Let c(f) = -x*f**2 + 17 - 17. Let g(l) be the third derivative of l**5\/20 - 28*l**2 - 1. What is c(g(h))?\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h + 40 = 0. Suppose -j + h = j. Calculate the remainder when (-6)\/(-15) + 78\/j is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-21))\/(((-3930)\/252)\/131)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -62*o**2 + 258*o + 718. Let n(s) = -16*s**2 + 64*s + 180. Let t(f) = -23*n(f) + 6*p(f). Let t(x) = 0. Calculate x.\nAnswer: -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 1 - (6 + -6). Suppose -5*c + 55 = -u*c. List the prime factors of (8\/(-4) - -1) + c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/6 of a decade in months?\nAnswer: 860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -377825, -1511310, -3400473, -6045338, -9445929, -13602270, -18514385, -24182298?\nAnswer: -30606033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 21881, 2, -3 in decreasing order.\nAnswer: 21881, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 15 = 36. Let n = p + -7. Solve -5*b - 3 = -3*x, -4*x - 2*b + n*b - 22 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 9*c - 7 + 4*c - 4*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**4 + 10*m**3 + 215*m**2 + 200*m = 0.\nAnswer: -5, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01381 to four dps.\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 874748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3795 - 0.2795. Which is the closest to h? (a) 4\/5 (b) -2 (c) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2285993 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 + 2*s**3 + 16*s**2 - 16*s**2.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 486 and 4302.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -32\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-108)\/105*(-56)\/12. Suppose 0 = -3*b + b + 8. Is s bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7}. What is prob of picking 4 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23622*g**4 + 2*g**2 + 111*g - 4174047?\nAnswer: -94488*g**3 + 4*g + 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*m**5*z**3 + 10588*m**5 + 143*m*z + 14*m - 2*z**3 wrt m?\nAnswer: 1040*m**3*z**3 + 211760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10517219 divided by 10517219?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1111 + 1116. Solve j*q = 34 - 29 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 71, 179, 289, 401, 515, 631, 749?\n\"Answer: x**2 + 105*x - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -15*r - 205. What is g(7)?\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 1728.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 3*r + 65 = 29, -t - 3*r = -22 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + v**2 + v. Let o = 42 + -46. Let h be -2*((-9)\/6 - -2). Let u(t) = 5*t**3 - 3*t**2 - 4*t + 1. Determine h*u(x) + o*a(x).\nAnswer: -x**3 - x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 25, 15*q - 11*q = -2*o + 1762. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 31*g + 27. Let n be l(4). Let y = n - 149. Solve -10 = y*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-6 - (11 + 0)) + 8 - -28).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2, 47?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 7:39 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 78 - 132 = 0. Let d = 131 + t. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2 - 1969*a - 7952. Determine m(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 68. Let j = 31 - 49. What is the remainder when 127 is divided by k(j)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 4:18 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.08 - -0.08. Let a = u - -10. What is the third biggest value in 0, -1\/8, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 53*l**2 - 4*l - 6. Let c be b(-5). What is the greatest common divisor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2058 and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 12*l = 0. Is l not equal to 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12 - 22 + 7*d + 10. Suppose 27 = 2*m + 5*g, -m + 11 = -2*g + 2. What is the units digit of q(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 28 = -5*i - 37, 3*s + 3*i = 45. Let x(a) = -11*a - 2. Let c(n) = -28*n - 5. Let l(p) = -2*c(p) + 5*x(p). Does 14 divide l(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199 + 5*z**2 + 199 - 53*z**3 - 5*z**2 - 7*z.\nAnswer: -53*z**3 - 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 2:13 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/2)\/(10\/130). What are the prime factors of 80\/u*89 + 22\/143?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8660 - 8660.4. Let v = -1.3 + 8.3. Which is the second smallest value? (a) t (b) -1\/6 (c) v (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**3\/2 - 192885*o**2\/2 + 35095917*o + 70577616 = 0. Calculate o.\nAnswer: -2, 368, 63929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - ((-2)\/3)\/(2\/(-9)). What is the closest to u in 3, -2\/19, 1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 30*p**3 + 1 + 26*p**3 + 2*p**2 - 1 as k*p + f*p**2 + t*p**3 + b and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 338 and 6591.\nAnswer: 13182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -1, 1, 5, -3 in increasing order.\nAnswer: -3, -1, 1, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3139 or -15691\/5?\nAnswer: -15691\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -136.\nAnswer: 40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 11*o**2 + 24*o - 24. Let d be j(-13). Suppose c + 3*g = -1, 5*c + d*g - 5*g = -5. Do c and -3\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -206 - -234. Are m and 48 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31992478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 402933023 to the power of 1\/4, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8690612 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 + -51. Let x = -26 + f. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 0*w**2 - 3\/100*w**5 + 0*w**4 - 5 - 3*w + 1\/10*w**3. Let n(s) be the first derivative of i(s). Factor n(p).\nAnswer: -3*p*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/98 and (-10)\/(-45) - (-86)\/(-144).\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -16*b + 43. Calculate the remainder when b is divided by (20\/(-6))\/((-2)\/9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1581 + 1297 - 1688)*(-2*r + 2*r - 2*r).\nAnswer: 3944*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (38 - 39) + (1110 - 1*-1). Round f to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55229663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 373.305 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**4\/5 - 20*j**3 = 0.\nAnswer: -50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8498 + -8396. What is the smallest common multiple of o and 442?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 49. Let m(n) = -29*n + 35*n - 8*n - 1. Let g(k) = -4*m(k) - w(k). What is the first derivative of g(o) wrt o?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 13*f**2 + 10*f + 68. Determine k(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*y - 201*y - 456*y = -16606 for y.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a hour in minutes?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -2 + (-4)\/(-4). Which is the second biggest value? (a) t (b) 0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/1 - (14 + -17) - 2. Is -45\/64 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(10)*1) + (sqrt(21) + sqrt(105)\/(sqrt(5)*-3) - sqrt(21)))\/(-4*-1*sqrt(48)*-2).\nAnswer: -sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 1, a: 1, r: 10}. Give prob of sequence gr.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z + 18 = y, 0 = z - 4. Suppose -31*f = -y*f - 103. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -37\/3. Let n = -1 + 1. Put n, -3\/4, a in descending order.\nAnswer: a, n, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -516578 (base 12) in base 8?\nAnswer: -4674254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1654 + 8268\/5. Which is the third biggest value? (a) y (b) 7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 13620?\nAnswer: -13623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13827 - 13794. Let w = -7 + 86. Calculate the remainder when w is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1692987809.\nAnswer: 113, 239, 62687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6\/(-4) - (-113815)\/367710.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6 + 4 + 2 - t. Let a(x) be the second derivative of x**4\/12 - x. Calculate c(a(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 0*z + 69 + 1\/2*z**4 - 5\/3*z**3 + 1\/5*z**5 - 3*z**2. Find y such that v(y) = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/7))\/l**(1\/3)*l**(2\/5)\/l**(3\/5) assuming l is positive.\nAnswer: l**(19\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 55 = 5*j, 3*j - 3*m + 11 = 4*j. Let b be -1 + 2*(-11)\/(-2). Let q = b + 10. What is the remainder when q is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 52 + -3091?\nAnswer: -303a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - (-2 - -7)) + -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(1*(-9)\/(-30))\/(2676\/(-1115)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -602 or -948?\nAnswer: -948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*w - 252*w - 3*w**2 + 130*w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckcgccccgccakkk. Give prob of picking 1 k and 1 a.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8906 - 32036 = -3722*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -54199554 rounded to the nearest one hundred thousand?\nAnswer: -54200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37646?\nAnswer: 2, 7, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8226959, -16453951, -24680943?\n\"Answer: -8226992*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 11 = 2*v - 1, -5*v + 18 = i. Let r = 190 + -188. Suppose r*q = 3 - 5, -3*k - 4*q - 19 = 0. Put v, 3, k in increasing order.\nAnswer: k, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**2 + 5*n - 3. Let y(q) = 3 + 18*q - 17*q - q**2 + 1 - 3. Let a(v) = j(v) + 3*y(v). Let t(b) = -b. Give a(t(o)).\nAnswer: 3*o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-7)*d)**(-33)*d**(-4\/11)\/d**11 assuming d is positive.\nAnswer: d**(1690\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from avavaaa.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 6*g - 4. Let k be (-8)\/20 - (-23)\/(-5). Let q be o(k). Let i = 6 - q. Which is the smallest value? (a) 1\/6 (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 4*b - 338, 2*r - r - 117 = 3*b. Let j = -124685 + 124799. Is r >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5\/3*m**3 + 2*m + 0 - 1\/3*m**5 + 5\/3*m**2 - 5\/3*m**4 = 0.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(180) + (-2*sqrt(180)*4 - sqrt(180)) - sqrt(180)) + sqrt(180) + (sqrt(180) + -4)*6)*-5)**2.\nAnswer: 518400*sqrt(5) + 1166400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*y**2 + 34*y**4 - 54*y**4 + 31*y**4 wrt y.\nAnswer: 264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(5\/4) + (3 - 5). Find the third derivative of -11*u**5 + 0 - 2*u**k + 29*u**2 + 0 wrt u.\nAnswer: -660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 22*a**2 - 157*a - 714. Calculate d(-12).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -70518.8 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-42)\/(-26)*(-252)\/(-3402) and -67\/130.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -234102 or -234104?\nAnswer: -234102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58620440*o**3 - 28*o - 153086 wrt o?\nAnswer: 351722640*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52\/7 + 215\/28. What is the second smallest value in -6, 1\/6, x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0221 + 0.1462. Let r = x - 0.126. Round r to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q**2 - 9*q - 17. Let x(t) = -t**2 + t + 1. Let n(g) = p(g) + 3*x(g). What are the prime factors of n(-4)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(1 + 6\/(-4)). Suppose -3*u = -f + 5, f + l*u - 37 = -f. Calculate the smallest common multiple of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1. Suppose 0 = 3*c + 141 - 51. Let b(p) = p - 6. Let h(n) = c*z(n) - 5*b(n). Let v(m) = 7*m**2 + 3*m**2 - 11*m**2. What is v(h(t))?\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 0. Let a(n) = -3. Let r(d) = -d - 5. Suppose -f + 6 - 2 = 0. Let v(b) = f*a(b) - 3*r(b). Give v(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12309211 divided by 7?\nAnswer: -12309211\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 24*w**2 - 67*w + 38. Let m be x(-26). Which is greater: 432 or m?\nAnswer: 432","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -0.1 (b) -3\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-38)\/(-14) + 2\/7. Suppose n*x = -2*h + 116, 3*x = h - 0*x - 49. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 9*o**2 - 7. Let m(p) = -11*p + 63. Let t be m(14). Let z = -82 - t. Let y be l(z). Put y, 2\/7, 2 in descending order.\nAnswer: 2, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**4\/2 - 5*r**3\/3 - 3*r**2\/2 - r + 5. What are the prime factors of h(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a - 5*n + 40, a - 32 = -3*n. Let q(g) = -3*g + 8. Calculate the lowest common multiple of q(0) and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 37 - 12 - (1 + -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*i**2 + 12*i**2 + 7*i**2 + 17*i**2 + 24*i**2 + 28*i**2 - 37*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**2 - 5*w**2 - 33*w**2 + 54*w**2 - 7*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-57231)\/(-63750))\/(72\/(-5)) + (-1763)\/(-28208). Is s at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5443148?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -502 divided by -2?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 15*p + 6. Let v be t(-8). Let w = 43 + -23. Suppose -2*b + 7*j + v = 2*j, -b = 3*j - w. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 699c7b - 4?\nAnswer: 699c77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 328*j**3 + 25*j + 1.\nAnswer: 1968*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -665016 divided by 4.\nAnswer: -166254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and -2.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1324288*w + 1896. Let j be f(-17). What is j rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-8 + (3 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*g + 31*g + 761342 - 152762 = 0. Does 54 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -52800000*s**2 - 2*s - 2. Let c be w(-1). What is c rounded to the nearest 1000000?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0*h*h**26\/h)**(2\/63))**(-2\/127) assuming h is positive.\nAnswer: h**(-104\/8001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 13*z**2 + 4*z + 4. Calculate g(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2 (b) 62 (c) -17 (d) -3 (e) 0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*d = -184, 29*k - 94 = 27*k + d. Calculate the remainder when 484 is divided by k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/273*-2 + (20\/30)\/1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + ((sqrt(171)*3)**2 - sqrt(19))).\nAnswer: -5*sqrt(19) + 7685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = 5*m - m, -25 = 3*m + 4*t. Suppose 0 = 8*k - 6*k - 304. What is the common denominator of -3\/2 and (m\/k)\/(27\/(-1884))?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4185 + -2958. Let x = n + -1162.3. Let m = x - 65. Which is the nearest to -2? (a) m (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-27)\/972*-9?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**3 - 6*g**2 - 3*g + 10. Let n be m(4). Let k = 10 + n. Let y = -94 - -106. Calculate the remainder when k is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/(54\/9 + -9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5*m + 4*g - 44, 0 = -2*g. Calculate the remainder when m is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35 and 0.04913.\nAnswer: 1.71955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0069132248 to 6 dps.\nAnswer: 0.006913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -198 + 198.1. Let c be ((-2)\/(-3))\/(10\/(-60)). Let f be c\/(-8*(-3)\/(-18)). Sort f, 0.4, t, -5 in decreasing order.\nAnswer: f, 0.4, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 4*q**3 - 33 - 42 + 122.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 121483.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.76 times -10364?\nAnswer: 49332.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/13, -3.339, 325.\nAnswer: -3.339, -1\/13, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 at least 503\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) 3\/4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2. Let d be s\/1 + 3 - 0. Solve 0 = b + 6 - d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 2*x - 6*x)*(-16 - 2 + 8)*(2 - 2 + 2 + 5 - 3 - 4 + (-1 + 3 + 0)*(6 - 1 - 3) - 3 + 2 + 3)*(-1 + 1 - 1).\nAnswer: -120*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 5, -0.06, 0.4, 3.35 in increasing order.\nAnswer: -2\/5, -0.06, 0.4, 3.35, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 3:46 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 22*t**2 - 15*t + 13. Is h(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 8*p**3\/3 - 2376. Let i(o) = 548*o**2. What is y(i(c))?\nAnswer: 2402432*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 4*t**2 - 7*t + 3. Let r = 115 - 55. Suppose 3*y - 15*y = -r. Calculate d(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -345 + -5410631?\nAnswer: -5411306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 306 + -305.7. What is the third smallest value in o, -3\/28, -0.02?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19488 divided by 2436?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-43))\/m*m*m)**(-47))**(-16) assuming m is positive.\nAnswer: m**33840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011184 rounded to five decimal places?\nAnswer: -0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -72, -292, -658, -1170, -1828, -2632, -3582?\n\"Answer: -73*w**2 - w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 131?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t - 5*t**2 + 5*t + t**4 + 256*t**3 - 273*t**3 as o*t**3 + s*t**2 + p*t + b*t**4 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -9. Suppose -w + 0*w - h = -2*p, 5*p - 5 = -5*w. Solve -2*a - 2*g - 3 = -p, a = -4*g - 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 359\/614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -330.628 * -0.3.\nAnswer: 99.1884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**6\/120 + x**5\/12 - x**4\/12 - x**3\/3 + 5*x**2 + 1. Let u(o) = 15*o + 100. Let f be u(-7). Calculate z(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2 - 4*x. Let p(q) be the first derivative of 4 + 0*q - 5\/2*q**2 - 5\/3*q**3. What is -6*h(o) + 5*p(o)?\nAnswer: -o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5567.\nAnswer: 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 5. Let i(c) = -2. Let h(p) = 5*i(p) + 2*s(p). Let u(n) = n + 4. Let w be u(-3). Let a(y) = -w + 2*y + 1. Give a(h(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8122791 minus 19252?\nAnswer: -8142043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384122533.\nAnswer: 659, 582887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**5\/20 + 15*g. Let r(u) = 9*u**3 - 10*u**2. Let m(t) = -r(t) - 4*z(t). What is the third derivative of m(k) wrt k?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -s + 18, 0 = -3*x + 7 + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112379 + 112379. Suppose -4*h + 175 = 5*o - 1, -h - o + 45 = 0. Put g, -3, h in descending order.\nAnswer: h, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62\/77 = -0.0007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 0*x**4 - 1\/5*x**5 + 0*x**2 + 0*x**6 - 31 - 67\/3*x**3 + 0*x - 20\/7*x**7. What is the third derivative of z(b) wrt b?\nAnswer: -2400*b**3 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-8)*l**(-12))**(-2\/87) assuming l is positive.\nAnswer: l**(38\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*a = 1 - 91, -4*a - 94 = -2*g. What is the remainder when g is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (((sqrt(18)\/sqrt(3) - sqrt(6))*-4)\/(2*sqrt(3)*-4) - (-5 + (sqrt(2) + -2)*2*2)))**2.\nAnswer: -136*sqrt(2) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 536967667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a0 (base 13) to base 14.\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -441 - 20?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2763 + 2764. What is the second smallest value in 3, -15, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 645*f**2 - 71928*f.\nAnswer: 3*f*(f - 81)*(f + 296)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -1\/3491, 2.1?\nAnswer: -1\/3491","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0. Let z = -2.161 - -1.861. Which is the nearest to 1\/2? (a) -0.06 (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*q + 76 = -53*q + 26*q. Solve r = 5*r + 2*x - 22, -1 = q*r - 3*x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.3 - 5.35. Let l = z - -0.05. What is the second smallest value in -0.2, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 - 440\/7. Let n = -3\/26 - -19\/52. Which is the nearest to 0? (a) 2\/3 (b) y (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4\/5 + 4*l**3\/5 - 6*l**2 = 0. Calculate l.\nAnswer: -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -6*g + 1698. What are the prime factors of g?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1130 + 1648 + 621)*(6*z - 2*z - 2*z + 4 + z - 4 + (2 + 0 - 3)*(-z + 0*z + 0*z)).\nAnswer: 13596*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxll. What is prob of sequence lxx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -918 + 921 + 18*c + 8*c to i + f*c and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 1\/6 (c) 0.1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798368 a multiple of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102536?\nAnswer: 2, 7, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 + 0 - (-18083 - -18018)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.6, -5, -2, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2147 - -2175. Is 462\/17 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 0, -5*d + 274430000 = -98*z + 99*z. What is z rounded to the nearest one million?\nAnswer: 274000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 6. Let o = -13 + i. Solve 4*g + 4*c - 13 = 15, 3*g = o*c - 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 5 + 0*b**2 - 8 + 34*b**3 + 2 as n*b + f*b**2 + p*b**3 + m and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 25 = -5*o. What is the second smallest value in o, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 4 + 13 + 3*y + 2 to p*y + v and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 6*f**2 + 3*f + 16. Let g be n(5). Solve -g = -4*j + j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19178.\nAnswer: 2, 43, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/b)**(-20\/3)\/((b*b**(-3\/4))\/((b*b*b*b*b**5)\/b*b)) assuming b is positive.\nAnswer: b**(265\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -39. Sort t, 7, -4 in decreasing order.\nAnswer: 7, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:11 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21100102000 (base 3) in base 9?\nAnswer: -240360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/50)\/((-33)\/550)*9\/5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (135\/57)\/(-5)*(-68)\/(-204). Put -1\/5, -13, 1, d in ascending order.\nAnswer: -13, -1\/5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8 - 6 + 9*d + d**3 + 6*d**2 - 4*d. Let o be g(-5). Solve -o*f - 2*f = -4*a - 32, 0 = -4*a + f - 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/3 + 158*n**3\/9 - 1006*n**2\/9 + 646*n\/3 - 60 = 0. Calculate n.\nAnswer: 1\/3, 3, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 225657?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/(1495\/46) - 26\/40. Suppose 4*p - 22 = 58. Let b be (1\/(-4))\/((-3)\/p). What is the third smallest value in b, 1\/4, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.47 - 1.47. Is -9 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 3. Let b = 1 - c. Solve 0 = -0*u + b*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16041521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 + 2*p - 1. Let g be y(1). Let j be (8\/(-5))\/(1\/(-5)). Let q(d) = -1 + d**2 + 4 - d - j - 3*d. Calculate q(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 69*p**2. Let h(b) = 14*b**2. Let r(s) = 24*h(s) - 5*q(s). Let f(c) be the first derivative of c**3 + 3. Determine f(r(z)).\nAnswer: 243*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 smaller than -3759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/12*(-4)\/6. Let r be (-8)\/(1\/(-8)*g). Suppose -14 = 2*l - r. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*n**2 - 12*n**2 + 3*n**2 + 4 - 4.\nAnswer: -39*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -4505 and -4505 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321291640?\nAnswer: 2, 5, 8032291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -38846 * 0.4\nAnswer: -15538.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4.8963 times -12\nAnswer: 58.7556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -6. Let o(b) = 20*b + 123. Let t be o(z). Suppose 0 + 0*x + 2\/5*x**2 - 2\/5*x**t = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 12*d**2 + 23*d + 52. Give n(14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1107 + -1049. What is the smallest common multiple of k and 34?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -a + 1 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3912, -3915, -3918, -3921, -3924, -3927?\n\"Answer: -3*m - 3909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 2*v**2 - v**3 - 3*v**3 - v. Let p be i(-1). What is the derivative of 0*a + p*a - a + 2 wrt a?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(11\/3)*b*b)*b)\/((b\/(b*b**(-9)))\/b*b))**33*((b**(-4)*b)**26)**(1\/13) assuming b is positive.\nAnswer: b**(-424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/6)\/2*-6. Solve -z = q*z + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 w, and 2 i when four letters picked without replacement from dcdwclwizilddl?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 5. Suppose -3*m = -l - 17, -2*m + 6*l - 2*l + 28 = 0. Calculate q(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55660870477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/7*(-133)\/38.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + 15dc?\nAnswer: 15d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25600147457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(16 - 19 - 4\/(-1)). Let x(t) = 9*t**2 + t. Let u be x(1). Suppose 0 = -l*w + u*w - 51200000. What is w rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5867*v + 118401 = -1485*v + 626713 for v.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*p**3 - 80*p**3 - 117*p**3.\nAnswer: -153*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by -419.\nAnswer: 54\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 + m**3 + 4*m - 3 + 4 + 2*m**4 - 8*m as n + l*m**4 + i*m**2 + o*m + j*m**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 24, 23, 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1154 = 9*t - 1231. List the prime factors of t.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine tenths of a hour?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -29863000 to the nearest 100000.\nAnswer: -29900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(612))**2 + -3)*-3.\nAnswer: -1815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-10 - -5) + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*a - 3*y, -8 = 5*a - 0*a + 2*y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150862906.\nAnswer: 2, 75431453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63*15\/2835*27.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2925283650 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -5*t + 2*z, -t - z = -2*z + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1724690?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdb when three letters picked without replacement from {f: 2, d: 13, b: 5}?\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-6))\/((-1)\/26). Suppose 2*q = 2*j - 4, -3 = 3*q + j - a. Solve 16 = 4*z, 24 = -4*u + 5*z - q*z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1192 is divided by 176.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3850 and 2541.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/6))**(6\/13)\/(q\/q**(-1))**(-33) assuming q is positive.\nAnswer: q**(859\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + -4 + (-12)\/(-4) + -1. Is 0 - (-3 + (-211 - y\/(-2))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -6*j + 37. What is the highest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 8:35 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 6) to base 10.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1312 and 1600.\nAnswer: 65600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1734*v. Let b(l) = 123*l**2. What is b(y(r))?\nAnswer: 369830988*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 6*b - 9*b - 4, 5*b + 3 = 2*w. Let c(z) = z + 4. Let j(t) = -t - 1. Give w*c(x) - 3*j(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 370 and 269693?\nAnswer: 2696930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 589 and 287831?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-27)\/(-363636)*-37?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17c90 (base 14) to base 9.\nAnswer: -101400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83667 (base 10) to base 12.\nAnswer: 40503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**4\/9 + 28*i**3\/9 - 22*i**2\/9 - 280*i\/3 + 200 = 0.\nAnswer: -10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5406516 by 5.\nAnswer: 5406516\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305009 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144190699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**2 - 1743*k + 870.\nAnswer: 3*(k - 290)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 194*j + 392*j + 470*j - 2*j**2 + 3*j**2 - 183*j in the form u + o*j + x*j**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, -0.09, 0.04 in decreasing order.\nAnswer: 4, 0.04, -0.09, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 b when three letters picked without replacement from qqgqbqqaqqabqqqq.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/32*(-12)\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 - 1\/2. Let h = -20 + 40. Suppose j = -3*s - y + 9, 5*s - y = h + 3. Sort s, 2, -2 in decreasing order.\nAnswer: s, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 460 = -4*p, 31 = p - 5*a - 64. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + j + 543 = -95*i - 0*j + 4*j, 5*j = -6*i - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c*c**19\/c)\/c)\/c))\/c**(22\/9)*c**(1\/8)\/c**(-46) assuming c is positive.\nAnswer: c**(1993\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f*i**3 + 34307*f*i**2 - 158*i**3 - 199*i**2 with respect to f.\nAnswer: 3*i**3 + 34307*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-3\/5)*u*u**(-2\/17)*u)\/(u**1*u**(-6)\/u*u))\/((u*(u\/(u*u\/(u**1*u*u)*u*u*u))\/u*u*u**1)\/(u\/((u\/(u*u*u**0))\/u))**45) assuming u is positive.\nAnswer: u**(12111\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 7, 0 in decreasing order.\nAnswer: 7, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 216 (b) 0.216 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182851050?\nAnswer: 2, 3, 5, 43, 28349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 10:15 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**4\/12 + y**3 + y**2 - 87*y. Calculate c(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1599433996?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4101601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -5*u - 4*c, 12 = 2*u + c + c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c. Let y(t) = -t**2. Calculate y(h(d)).\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 93 * 1.863673\nAnswer: 173.321589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by -71.\nAnswer: 37\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -28. Let q(j) = -j**2 + 5*j - 5. Let l be q(3). Solve l - n = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand w - w + 2*w + (4*w + 3*w - 6*w)*(-4 + 2 - 7)*(6 - 4 + 0).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(3) + sqrt(27)\/(sqrt(9) - sqrt(81)) - (sqrt(300)*2 + sqrt(3))**2) + (sqrt(3)*-2*2 + -1)**2 + 1.\nAnswer: -1275 + 17*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -19. Suppose -5 = -6*c + p. Suppose c*b = 16 - 14. Calculate the remainder when 2 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0*f + 3*z - 198, 4*f - 3*z + 828 = 0. What is the remainder when (-28)\/10*f\/12 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 308 = -5*d. Suppose 0 = s - 2*m - 752, -2*s = -d*m + 25*m - 1505. Is 20 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 1903.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 993*g**5 + 895*g**3 + 228*g**2 + 422*g + 3.\nAnswer: 59580*g**2 + 5370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 894, 3392, 7556, 13386?\nAnswer: 20882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((936\/180)\/(-13))\/(1\/2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1868207555.\nAnswer: 5, 293, 1275227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1406720 is divided by 665?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.9 + 2.1. Let h = 0.05 - 2.05. Let p = b - h. What is the smallest value in p, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -814 = -287*j + 5*j + 32. Calculate the greatest common factor of j and 10083.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44661 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -6 - 3)*1. Let b = -3 - n. Suppose 0*x - 4 = -x - 2*f, -b*f = -5*x + 20. Which is bigger: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d**3 + 2*d**3 + d**3)*(0*d - 3*d + 5*d) + 3*d**2 - 3*d**2 - 2*d**4)*(-3 + 3 + 1 + (5 - 4 - 2)*(-1 - 2 + 0) - 3 - 1 + 2 + (1 + 4 - 3)*(-1 + 3 - 4)).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*i - 1 = 0. Put i, -2, -1 in ascending order.\nAnswer: -2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -240 <= -244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29\/18 - -16\/9. Let f(z) be the first derivative of -1\/4*z**2 + 0*z + n*z**3 - 1. Factor f(a).\nAnswer: a*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n**3 + 5*n**3 - 7*n**3)*(3*n + 0*n - 4*n).\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (-2)\/((-3)\/3). Suppose y - h - 5 = 0, -b*y = -3*y - 2*h + 5. Solve y*l + 25 = -5*d, -4*l = 3*d + 2*d + 23 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.44 less than 200462?\nAnswer: 200467.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000209041 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -143 + 151. Suppose v*l + 145 - 561 = 0. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: -3102 (base 4) to base 12\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -178.7 + 4553\nAnswer: 4374.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y - 256 = -21*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 3*i**6\/2 + 7*i**5\/20 + 989*i**3\/6 - 434*i. What is the second derivative of m(b) wrt b?\nAnswer: 540*b**2 + 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26880)\/(-108528) + 22\/209?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -36) + (13 - (45 - 32)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 547*p + 11 - 22 + 4.\nAnswer: 547*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01194298 rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1017.77662 to the nearest integer.\nAnswer: -1018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2286 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022200002110 - -1?\nAnswer: 1022200002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 467300144 and -4.\nAnswer: 467300140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 = 5*d - 2*a - 21, 276 = 3*d + 3*a. Suppose -3*f + 2*c = 50, -3*f + 6*f + 4*c = -62. What is the common denominator of 3 - (d\/f)\/(-5) and -111\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -3. Let n = 26 + -20. Let o = u - n. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/5 - (-34)\/(-5). Let c(n) = n + 8. What is the units digit of c(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 144 (c) 0.3 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (6*sqrt(14)\/sqrt(7)*-2)**2.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -175, 7, 258, 35, -1 in ascending order.\nAnswer: -175, -1, 7, 35, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 165669736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2.2. Let l = 1196744 + -20344650\/17. Which is the fourth smallest value? (a) l (b) -0.4 (c) n (d) 3\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 1, c: 1, n: 1}. Give prob of picking 1 c, 1 n, and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 4*d + 10, 1019*k - 6 = 1017*k - 3*d for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 8 - 128*a**2 + 0 in the form u*a + k + z*a**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2500 = 2*m. Let c(b) = -120*b + 77. Let r be c(7). Let k = m + r. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d = -4*x + 6 + 24 + 161, d - 5*d + 61 = 5*x for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i. Let z(l) be the second derivative of -l**5\/15 - 5*l**2\/2 + 7*l. Let u(t) be the first derivative of z(t). Give u(p(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.535 + 397.465. Let b = v - 402. What is the third biggest value in -0.03, 1\/61, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-95)\/9 - ((-230460)\/1242 - -186)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94 + 101. Solve 13*z - 12 = n*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-335 - 0\/(-2)) + (-2 - -4). Let d = p - -426. What is the lowest common multiple of d and 4?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - p + 9. Let k be b(0). Let h = -6 + -4. Let y be ((-40)\/25)\/(4\/h). Solve -3*n - 25 = 4*j - k, -y*n = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + o + 2 - 3*o + 4*o - 3*o + (o - 3*o + o)*(-3 + 3 + 2) - 8 + 8 + 4*o + (2 - 2 - o)*(0 + 1 - 3).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 27 + 7)*(-4*y**5 + 4*y**5 + 2*y**5).\nAnswer: 50*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12 + -0.62. What is the closest to -1 in 5, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -160896159 and 41.\nAnswer: -160896118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 771, 766, 761, 756, 751?\nAnswer: 746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -22096 less than -243057\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*k + 2*z, -5*z - 6 = -k - 3*z. Let m be 2\/(2\/((-8)\/k)). Which is smaller: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (40 - 31)\/(6\/44). Let n(t) = v*t - 27*t - 38*t. Let h(k) = -14*k. Let b(o) = 119*o. Let f(y) = 5*b(y) + 42*h(y). Determine n(f(l)).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 + 57\/9. Suppose 12 = q*h - 6. Let k = h + -3. Solve 27 = -5*x - 2*a, -4*a = x - k*x + 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/7*f**4 + 0 + 72\/7*f**3 + 4*f - 80\/7*f**2 - 4\/7*f**5.\nAnswer: -4*f*(f - 1)**3*(f + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*x = -14. Suppose u = -x*u + 111. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1461 = 4*s - 1511. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 10*n**3\/3 - 66. Let i(r) = 15*r. Give p(i(l)).\nAnswer: 2250*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 30837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 - 42. Suppose -n + 46 = 2*f, -130 = -3*n - 3*f - f. Let j = q - n. Solve 4*s - 15 - j = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1979534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 188?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 285 + -1423\/5. Let j be (-4)\/4 - 12\/(-2). Suppose 0*r + 25 = j*r. Which is the biggest value? (a) r (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 203 + -227. Is -25 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**2. Let x be (-7)\/(-3) + (-6)\/(-9). Let i(t) = t**2 - x*t**2 + 1 - 1. Give i(a(k)).\nAnswer: -50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n + 4. Let m(b) = b + 77. Let g(y) = 9*y - 177. Let l(x) = g(x) + 2*m(x). Suppose -4*f = 4*u + 152, 3*u + f = 4*f - 90. What is u*t(i) - 6*l(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 400.8.\nAnswer: -1202.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 2, -1, -17, 3, 4152.\nAnswer: -17, -5, -1, 1, 2, 3, 4152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1506*h + 13557. Calculate the remainder when 12968 is divided by s(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 545436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + (-5 + (sqrt(684) - (1 + sqrt(684) + 2)) + ((1 + sqrt(684) - sqrt(684)) + sqrt(684))*-4 + sqrt(684) + -4)**2*-4.\nAnswer: -25652 - 2304*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4353\/4 + 1089. What is the second smallest value in r, -13, 4\/3, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -22, 8\/5, -2\/11, 2 in decreasing order.\nAnswer: 2, 8\/5, 0.3, -2\/11, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2524\/16575 + -2\/1275. Let t = 0.3 - 0.2. Which is the closest to t? (a) j (b) 2 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4242576167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/286964 and -49\/34722644.\nAnswer: 34722644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (5 + -13 + -2) - (8 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4885199982?\nAnswer: 2, 3, 13, 919, 22717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1130230 (base 4) to base 16\nAnswer: 172c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 9*d - 10. Let a be p(7). Suppose -a*f = -o + 73, -3*o + 137 = -o + f. List the prime factors of o.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494132459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -11528.5 to the nearest one hundred.\nAnswer: -11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 + 95. What is the second derivative of 5166 + a*t**2 - 36*t - 5166 wrt t?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(80) + sqrt(5) + -3 + (sqrt(5) + -1 + sqrt(5) - sqrt(5)) + 0) - (sqrt(50)\/(3*sqrt(10) + sqrt(10)) - (sqrt(45) - sqrt(180)\/sqrt(4)))**2*-1.\nAnswer: -18*sqrt(5) + 197\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, 110, 4, -5 in increasing order.\nAnswer: -5, 4, 110, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - 2*(((-6*sqrt(132) - sqrt(132)) + sqrt(132) - sqrt(132)) + sqrt(132)))\/(sqrt(1728) + -5*sqrt(1728) + sqrt(1728))*4)**2.\nAnswer: 1859\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.286 + 0.086. Let d = t + 0.2113. What is d rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 - -187. Calculate the highest common divisor of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a + 16*a - 32*a = 0. Solve a = 2*f - 4*y - 0*y - 10, 2*f = 3*y + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10189967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 15*h**2 - 25*h - 22. Let t be f(12). Let l(x) = 4*x**2 - 2*x - 2. Let q be l(2). Calculate the greatest common divisor of t and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 196, 9.\nAnswer: -4, 9, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 11*s**2 + 4*s - 13. Suppose -5*r = -23 - 32. Is m(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h = -13*h - 102 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 6*l - 4*l - 98, -3*g + 62 = 2*l. Let x(z) = 4*z + 9*z - g*z. Let j(c) be the third derivative of -c**4\/8 + 3*c**2. What is x(j(m))?\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3170.\nAnswer: 2, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 29, 60, 103, 158, 225, 304?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - r - 140 = 0. Suppose -3*a = -8*a + 10. Suppose 3*b = -4*m + 13, -a*m + 23 = -5*b - 16. Solve -4*l + y + m = 0, -l - r = -2*l - 5*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7443 + 7442 + 7446 - 149*q**2 - 22331 - 105*q**2.\nAnswer: -254*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3)\/q*q)**(-3\/8)\/((q**(-1\/4)\/q)\/q)**46)**10 assuming q is positive.\nAnswer: q**(4135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.1311 millilitres to litres.\nAnswer: 0.0191311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.043 - -0.443. Sort -1, y, -7 in increasing order.\nAnswer: -7, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 11 + 0)*(49*y + 20*y + 8*y) - 5 + 4*y - 3*y - 4 in the form u*y + x and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -16. Determine d, given that -4*d**2 - 1 - 2 + i*d + 3*d**2 + 2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4743288 minus -0.32?\nAnswer: -4743287.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + 16. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 11*y**2 + 7*y - 54. Suppose -2*v = 8 - 22. Suppose -v*c + 24 = -4*c. Calculate the remainder when m(11) is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -q - 6, 8*q - 6*q = -2*f + 6. Suppose 4*a - a - 2064 = 0. What are the prime factors of ((-21)\/(-14))\/(q\/a)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189440 is divided by 1539?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**6\/120 + 7*t**5\/60 - 5*t**3\/6 + 2*t**2. Calculate x(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 544 = 4*p, -p + o = 4*o - 122. Suppose 2*m + 5*b - p = 0, -m - 2*m = b - 201. Calculate the remainder when m is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800.2703 millilitres to litres.\nAnswer: 0.8002703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 619*m**3 - 1393 with respect to m.\nAnswer: 1857*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 5*k - 4. Let i be g(6). Let h(z) = i + 1 + 2*z**2 - 3. Let p(y) = 7*y + 4. Let d(j) = 6*j + 3. Let m(v) = 4*d(v) - 3*p(v). Give h(m(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7708 and 12.\nAnswer: 23124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4407 - 4331. Solve -d*p + 82*p = 42 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 0*v - 4*v)*(-34*v**2 + v - 3*v**2 + v) in the form j*v + b*v**3 + l*v**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 2:33 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p - 4. Let u be i(5). Let w = -16 - u. What is the closest to 1\/4 in 4, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = -2*o + 49001. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-4\/13))**48*(j*j**(-9\/7))**44 assuming j is positive.\nAnswer: j**(1880\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.048 and 0.02.\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1671 and -34\/29169?\nAnswer: 16247133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*v**5\/2 + 2073*v**4 - 396333*v**3\/2 - 3507267*v**2 - 3364656*v - 57456 = 0 for v.\nAnswer: -28, -19, -1, -2\/115, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-110)*(-13 - -15).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/99 and 2\/1551?\nAnswer: 4653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2148854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 142.303*-0.08\nAnswer: -11.38424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7993 + -0.8. Round x to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 4*f. Let j be m(-3). Suppose -7*v = -j*v. Let c be (1 + 0)*(15 - 10). Put -1, v, c in decreasing order.\nAnswer: c, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 10:43 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t = 8. Let s(b) = -1 + b**t + 1. Let a(w) be the first derivative of -2*w**3 + w**2\/2 + w + 2117. Calculate a(n) + 5*s(n).\nAnswer: -n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 6 = -7*k. Suppose k = 4*g - g. Suppose g*t - 31 = -13. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 215700 and 200?\nAnswer: 431400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -75. Let g = -22 - b. Let j(q) = -63*q**g + 29*q**2 + 26*q**2. Determine j(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 3, 4, -3, -19, -4 in increasing order.\nAnswer: -19, -4, -3, 3, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 + 169. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 5)\/(-4)*5. Let o = g - -17. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27 and 0.58038.\nAnswer: -15.67026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -982495.\nAnswer: 1\/196499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 763, 757, 749, 739, 727, 713?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbggr. Give prob of sequence gj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 9*j**2 - 2*j + 9. Let t be l(6). Suppose -y = t + 29. Round y to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 0*p - 17*p + (-4*p + 5*p + 4*p)*(-2 + 2 - 1) - p - 2*p + p.\nAnswer: -23*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 409281969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48331?\nAnswer: 17, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -46898, -5, -4, 4, -205 in ascending order.\nAnswer: -46898, -205, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/44, 62, -0.3, 4 in decreasing order.\nAnswer: 62, 4, -1\/44, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67993?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -9*i - 102, 17*j + 8 + 4 = 14*j + 9*j - 0 - 6 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003002 rounded to five dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2175)\/(-100) - 9\/12. What is the highest common factor of c and 420?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 23*k**2 - 122*k + 136. Let m be c(-12). Solve -m*j - 2*z = -15*j - 3, 9 = -5*j - 2*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1421601, -1421707, -1421875, -1422105, -1422397?\nAnswer: -1422751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 117.061 - 0.061. Let q = 115 - f. What is the third smallest value in -3\/5, q, -0.2, 3\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -267*-34*(-3)\/(-26280) - 176\/220 and 7\/22?\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/27)\/(j\/(j\/(j**(4\/5)*j))))**(-6\/11) assuming j is positive.\nAnswer: j**(466\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 9:06 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88724*l**2 - 2792*l**2 - 35188*l**2.\nAnswer: -126704*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 6) to base 11\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12240914?\nAnswer: 2, 7, 874351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -13.9?\nAnswer: 4.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7155, -0.11, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in -0.6, -0.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 (base 11) in base 4?\nAnswer: -11322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46011 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 44*o - 14. Let u be q(4). Suppose -12*l = -6*l - u. Is 12 a factor of 4*1\/18 + 2505\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679104862 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17996 and 506.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + ((sqrt(175)*2 - sqrt(175)) + sqrt(175) + -2 - ((sqrt(175)*-1 - sqrt(175)) + 0)))**2.\nAnswer: 5600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(78) + (sqrt(78) - (sqrt(78)*-2 + sqrt(78) - sqrt(78)))*4))\/(-5*2*sqrt(726)) + -5.\nAnswer: -5 + 26*sqrt(13)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*s - 96 + 9 = 248. Suppose 4*w - 5*c = -71 + 178, -4*w - 2*c = -114. What is the remainder when w is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2445*m**2 + 2977820*m - 231420.\nAnswer: 5*(m + 1218)*(489*m - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen twelths of a century?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42214*g**2 + 77253*g**2 - 13062*g**2.\nAnswer: 106405*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 + 11?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*s - 8 = 0, -7 = -3*u + s - 2*s. Let o = 50 + -34. What is the highest common factor of u and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 7*b**2 + 41*b**2 + 27*b**2.\nAnswer: 61*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n - 9. Let l be f(-17). Suppose -3*z = -l - 67. Suppose -8 = -2*a + z. Solve -a = -0*h - 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -743\/104 - -88\/13. What is the second smallest value in g, 0.069, 1\/2?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2574*v*w**4 + 2*v*w**2 + v + 6191*w**4 + 4259542 wrt w.\nAnswer: -61776*v*w + 148584*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -217200?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86720 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 - 40*m**3.\nAnswer: m**3*(m - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*-4)\/(6 - 8). What is the second smallest value in -3\/4, 1\/5, v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/(-4)*(10 - 6). Suppose -z = -f - 5*c, 0 = -f - 3*f - c + 155. Calculate the remainder when f is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 278123755 by -1135199.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1997032*i**2 + 2318379*i.\nAnswer: 3994064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 910*n**4 - 206*n**3 + n + 18626.\nAnswer: 10920*n**2 - 1236*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 129*t + 4 - 130*t.\nAnswer: -t - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r + 20. Let z be x(-4). Calculate the greatest common factor of z and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 32 = 5*j - 0*j, -y - 4*j + 13 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167 a factor of 86586492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p**3 - 2*p**2 + 3*p - 3. Let u be 3*((2 - 4)*51 + 1). Let c = u + 301. Let k(v) = -4*v**3 + v**2 - 2*v + 4. Determine c*m(n) - 3*k(n).\nAnswer: 2*n**3 + n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 914 divided by 2\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z = -4*r - 200, -4*r = -2366*z + 2372*z + 88 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3556796 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (264*y**3 - 30182 + 30182)*((y - 1 + 1)*(0*y - 5*y + 3*y) + y**2 + y**2 - 4*y**2).\nAnswer: -1056*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from rrrvrrrrrvrrrrrrrr?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 31*u - 9. Let b(g) = -16*g + 4. Calculate -13*b(f) - 6*d(f).\nAnswer: 22*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -35543.9 times -1?\nAnswer: 35543.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 104*k - 1. Let v(d) = 176 - 296 + 120 - 4*d. What is v(t(l))?\nAnswer: -416*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 26560.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 + 2*i - 2. Let h be o(-2). Let w = 4 - h. Solve -5 = -w*x + x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.9107495 and 0.6?\nAnswer: 5.9464497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = 4*a, 1 = -2*d - 3. Suppose a*l - 2 = 2*l. Suppose 3*y - 15 = l*y. What is the remainder when y is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 219411242 to the power of 1\/2, to the nearest integer?\nAnswer: 14813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.71 and -194887.\nAnswer: -194889.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1803*a - 1013*a + 13 - 634*a in the form x + c*a and give c.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1200)*-1*-5)**2*4.\nAnswer: 120000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130 - 130 + 312058*w**2.\nAnswer: 312058*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 40519312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1450720?\nAnswer: 2, 5, 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 5 = c. Suppose 8 = -3*a - 7, -2*a + 50 = 5*l. Calculate the smallest common multiple of c and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 3*w = 0. Suppose -b = -4*a + 15, w = -a - 3*b - 2*b + 9. Suppose -134 + 8 = -a*p + g, 0 = -4*p - g + 122. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1145321412 (base 6) to base 10\nAnswer: -13136624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 300439110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1056 and 71\/21.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125 + -101. Let l = -24.1 + w. Let m = 605\/4 - 152. Which is greater: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153577537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9404159 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12241.1 - 12245. Which is the second smallest value? (a) 4 (b) 0.2 (c) -0.2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 6:46 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 700\/(-6)*(29481 + -81). What is f rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, h: 2, x: 1, j: 1, i: 1, d: 1}. Give prob of picking 1 j, 1 w, and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-184)\/(-644)*7)\/(2\/(-10))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**4\/12 - i**3\/2 - 2*i - 11. Let k(h) = -4*h. Let b(n) = 4*d(n) - 3*k(n). Let g(a) = -10*a**2. Calculate g(b(m)).\nAnswer: -160*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000178234198 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 - d + 182 - 370 + 186 - 4*d**2 to the form s*d**2 + a*d + g and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 31*y - 22. Let d(n) = 17*n - 12. Let v(x) = 11*d(x) - 6*m(x). Let h(z) = -2*z**2 + 32*z. Determine h(v(a)).\nAnswer: -2*a**2 + 32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - (sqrt(2299) + -4*sqrt(2299)*-2) - (sqrt(684) - (sqrt(684) - (sqrt(684) + sqrt(684)*-2)*-2))**2)*-4*-5.\nAnswer: -54720 - 1760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/6, 1, -2\/5, -0.6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 580439360*c**6 - 942462600*c**2?\nAnswer: 69652723200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide (-1029)\/(-686) + 57129\/2 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 137, 42, -115, -334, -615, -958?\n\"Answer: -31*d**2 - 2*d + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j**4 + 19*j**2*s - 5005*j - 10*s - 80894 wrt j?\nAnswer: -4*j**3 + 38*j*s - 5005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3048\/508*(-3)\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 45819, 91587, 137249, 182757, 228063, 273119, 317877?\n\"Answer: -8*u**3 - 5*u**2 + 45839*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**6\/120 + 2*q**5\/15 + 7*q**4\/24 + 7*q**3\/6 + 4*q**2. Is l(7) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1128087 divided by 5.\nAnswer: -1128087\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*1\/(-3)*(-5)\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75151 + 115071 + 62058 = 424*m. What is the highest common divisor of m and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/18*2\/2*(-3)\/(-9).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 4 + 2 + -5. Let q be ((-28)\/(-10))\/(y\/15). What is the greatest common divisor of q and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -2\/3, -1\/4, -127, -25, -5?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -13. Suppose -10 = -y*v - 2*v. What is the smallest common multiple of v\/(-5) + (-468)\/(-45) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + k + k + (1 - 3 + 1)*(-1 + k + 1))*(4 - 4 + k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711107779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 6:08 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -146*g + 132*g + 112. What is the highest common divisor of g and 3272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4515 and -0.5.\nAnswer: -4515.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/9 (b) -5 (c) -21 (d) 56 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w - 10. Let g be p(9). Suppose 0 = 4*i - 4 - g. Solve 3 + i = -3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 20. Let x be a(9). Solve 2*z - 2*o = 0, z + x*z + o = -4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 13\/120 (b) -2 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51920257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1) + (55\/7)\/(164\/(-2870)). Is -136 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 348 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9*j = 20. Suppose -n = 3*k - 9, 0*n + j*k - 15 = n. Let f = 2\/41 + 37\/82. Which is smaller: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2089419130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = 9 - 39. What is the lowest common multiple of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14859 + -159)\/(-140) - -236?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -3, -120, -4, 12 in ascending order.\nAnswer: -120, -4, -3, 0, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -793 + 788. Let k(w) = 49*w + 289. What is the remainder when k(n) is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((-1 - -8) + (30 - -4) + -42)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(4\/2)\/(-2). Suppose -b + 3*b - 4 = z. Suppose -b = 5*u + y, -3*u - 4*y = -8*u + 8. Solve 6*w = 3*w - 6, u = -4*t - 2*w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*g + 516 + 396 - 912.\nAnswer: 106*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-1 + 3 + -3)) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -321943 < -321938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 q when four letters picked without replacement from {q: 1, m: 4, p: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -217, -2281, -0.04, 1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c = -15*c - 16. Suppose t - c*m - 33 = 0, -4*t - 2*m = -m - 183. What is the highest common divisor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6053 + (-12)\/(-3) + -3. Suppose -t - 3*h = 1090 + 428, q = -4*t - 3*h. What is the tens digit of t\/(-26) + 6\/(-39)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 2*g + 6. Suppose 11*d = -4*d - 45. Calculate l(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43847858?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2 + 3 + (-165)\/33. Which is the nearest to -5? (a) -2\/17 (b) -4 (c) -20 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffft when four letters picked without replacement from tfnnffttft.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 10:23 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185*y**4 + 2*y**2 + 356*y?\nAnswer: 2220*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 620213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -6.40795906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 24.8\nAnswer: 24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488*i + 483*i + 2629*i + 3236*i.\nAnswer: 5860*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 10*f + 3. Let a be u(-15). Suppose -a - 76 = -2*n. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31942 is divided by 47?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.076 - 0.076. Suppose 0 = -x - 2*x + 18. Is x greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -1. What is the third derivative of 2 - s*h**2 + 0*h**4 - 2 + 3*h**4 wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3773480*u**3 + 15*u - 31066?\nAnswer: -22640880*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76\/(((-2)\/10)\/(-1 + 0\/2)) and 1368.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/5632 and 23\/99.\nAnswer: 50688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51439 divided by -785?\nAnswer: -51439\/785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 173*g**5 + 200558*g**3 + 24665471*g**2 wrt g.\nAnswer: 10380*g**2 + 1203348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3926652 rounded to the nearest 10000?\nAnswer: 3930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 o, and 1 e when four letters picked without replacement from emewwewzwomwwkkeko?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m - 1. Let t(h) = 690*h - 105. Let j(r) = -210*p(r) + 2*t(r). Let f(a) = a**2. Determine j(f(x)).\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(-1\/12))\/c)\/c)\/(c\/c**0))\/(c**(-2\/3)\/(c*c**(-1\/9))) assuming c is positive.\nAnswer: c**(-13\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 430*l**2 - 3073*l - 7772. What is s(222)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20119 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -176 - 5?\nAnswer: -17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*c, 4*t + 5*c = -39 + 46 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 391504*z + 81733 with respect to z.\nAnswer: 391504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*g + 81, -3*g = -5*a - 5*g + 336. Let p(u) = -209*u - 66. Let o(v) = 16*v + 5. Determine a*o(n) + 5*p(n).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5301 + -2701. What is the hundreds digit of -3 - i\/((-15)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -68? (a) -1\/6 (b) -0.2 (c) 1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101201222 + 11?\nAnswer: 101202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1506, -1745, -1984?\n\"Answer: -239*y - 1267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, w: 2, m: 1, b: 1}. What is prob of sequence qqqq?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000114577585 rounded to 7 dps?\nAnswer: -0.0001146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 15*f**3 - 10*f + 8*f.\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3\/7 + 9858*s**2\/7 - 75915*s - 240408 = 0.\nAnswer: -3339, -3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 5379?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*t = 4*d + 23, 3*t = 2*d - 101. Let u be (5\/15*d)\/((-1)\/(-6)). Suppose 2*s + 2*s - 372 = -2*g, u = s - 3*g. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44355.0201432 - 44355. What is s rounded to 4 decimal places?\nAnswer: 0.0201","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -22*y**3 - 4*y**2 + 3*y + 3. Let o be f(-1). Suppose -o*n - 14325 = -33*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397191 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10449886511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 9858 = 2*z, 0 = z - 3*l - 703 - 4230. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71910 is divided by 248.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -120*x + 2824. What is g(25)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317*c - 110 = -339*c. Solve 0 = -7*v - 30 - c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/5)\/(6\/20). Let n be 3 + 2\/s*-3. Suppose f + n*f = 24. Solve 5*k - f = -2*u, -4*k = 3*u - 1 - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - 2*m - m)*(m + m + 2*m) - 2*m - 2*m + 3*m**2 + 3*m to the form c*m**2 + z*m + j and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1927 - -64. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 2*q + 21, 1572*g - 1570*g = -q - 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 0*t**3 + t**3 + 0*t**2 + 1 - t**2. Let y be g(0). Suppose -z + y = -3. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -16 and -41 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33936728 to the power of 1\/2, to the nearest integer?\nAnswer: 5826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 5*v - 6. Let b be z(-6). Suppose 12*y + 99 = 555. Let h = -36 + y. Solve -2*o - 2 - h = b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-46 - (-27 + -1)) - -22?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from nnwnwggwwnn.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, w: 6}. What is prob of sequence weew?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + b - 5*b + 1274*b - 650*b - 647*b + (1 - 2 - 1)*(-b + b + 2*b) - b - 3*b + 3*b.\nAnswer: -31*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 50*a**2 - 145*a - 180. Let p be j(-47). Solve 7*u - 11*u = p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + r - 3*m - 7, 6 = 2*r - 2*m. Let s(f) = -f**2 + 2*f + 2. Let x be s(r). Let j be (x\/4)\/(4\/40). Solve -4*u + j*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 4 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -853 - -669. Does m = -184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/20470 and 133\/12?\nAnswer: 122820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Suppose -5*x + 3*h + 19 - 6 = 0, -4*x = 4*h - 4. Suppose -2*y + 0*y + x = 0. Is u bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -147 + 156. Let b(l) = -2 + g + 15*l + l. What is the units digit of b(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31862 - -32016. Solve -90 = 109*k - r*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/(-6)*(-4)\/(-2). Let l(r) = r**2 + 4*r - 4. Let v be l(-5). Let o be 3 + 0 + (v - 2). Solve 2*k + t = -o*n + 3, -4*k - 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 3. Suppose 106 = 4*u - 10*w, 35*u = 34*u - 3*w + 32. What is the remainder when u is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 9, -2\/15, 0.1, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 8 = -2*w - 2*w, -z - 5*w + 19 = 0. Sort z, 2, 3 in decreasing order.\nAnswer: z, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10*o + 16. Let f be h(-5). Let g = 69 - f. Suppose -g*x = -q + 2*x + 3, 0 = 2*q - 5*x - 31. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*z + 2*l, -4*z + 2*l + 22 = -0*z. Let k be z*3*2\/15. Suppose 6*m - 12 = k*m. Solve 0 = 5*d, -w + 0*w = -5*d - m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, j: 16}. What is prob of picking 3 j?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y + 4. Suppose -28*d + 142 = -82. What is the least common multiple of d and n(3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 124 (c) 3\/4 (d) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5951 divided by 3\nAnswer: -5951\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**5\/20 - 2*a**4\/9 + a**3\/6 + a**2\/3 + 6*a - 7. Let v(w) be the first derivative of s(w). Let v(i) = 0. What is i?\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2 + 0)*(-329 + 329). Let d(v) be the second derivative of m + 7\/90*v**4 + 2\/5*v**2 - 23\/45*v**3 + 20*v. Factor d(l).\nAnswer: 2*(l - 3)*(7*l - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -989.1466?\nAnswer: 6924.0262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/(1*37\/148)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -618895*g*t**2 - 38673937*g - 12*t**3 - 2*t wrt t?\nAnswer: -1237790*g - 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32*(-2 + 3) - 609414\/(-19266)?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) 0.011 (c) 2\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**2 + 11*b + 7. Let a(t) be the second derivative of -3\/2*t**2 + 0 + 1\/6*t**4 - 5\/6*t**3 + 13*t. Determine -9*a(f) - 4*o(f).\nAnswer: 2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 89627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1424386.1 to the nearest ten thousand.\nAnswer: -1420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2753178140568 and -4.\nAnswer: 2753178140564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - 0.5. Let c = p + 10.1. What is c rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -7 - -11) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1 - 14\/((-70)\/9)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 237 + 78. Calculate the greatest common divisor of x and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a - 120*a**2 - 1 - 6 + 121*a**2. Let g be y(-8). Let h = g + -16. What is the greatest common factor of h and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 41685.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64767 is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2)*6*-2. Let i be (-18)\/m - (-4)\/10. Suppose 0*s + 8 = 2*s. Sort 3, s, i in ascending order.\nAnswer: i, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151391, 605574, 1362545, 2422304?\nAnswer: 3784851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-2\/17)*t*t*t**(24\/11) assuming t is positive.\nAnswer: t**(991\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -19. Calculate the remainder when l is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, k: 2, l: 1, m: 1, u: 4, v: 5}. What is prob of sequence kvm?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = -2*q, -j - 2*q + 16 = 0. Suppose j*p = 4*p + 24. Suppose 3*o - 3*w + 13 = 5*o, -p*o - w = -11. What is the smallest common multiple of 3 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 6. Suppose 0*q - q**3 + 2 - f*q + 4*q**2 + 0*q - 3*q = 0. Calculate q.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q + 836 + 599 = 0. Solve 0 = 21*s + q + 43 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -82\/47 or -3?\nAnswer: -82\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 8:57 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -271.2 - -315. Let w = 88.8 - q. Which is smaller: w or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*h = -2*r + 40, -r - 3*h = -42. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -10. Let w = p - 6. Suppose 0 = 3*r - 17 - w. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 468 + -468. What is the tens digit of (a - 3)*(-2 + 3)*-7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11*(-21)\/77)\/((-61)\/(-1769)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14261.\nAnswer: 13, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19184 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**0)**(-2\/95)*(t**3)**(-2\/119))**(11\/7) assuming t is positive.\nAnswer: t**(-11506\/79135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 1\/3*f**3 + 0*f**2 - 2\/21*f**7 + 0*f**4 - 5*f + 0 + 0*f**5 + 0*f**6. Find the second derivative of d(k) wrt k.\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176748487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*g - 69 = -345, -4*a - g = 218. Let y be ((-14)\/(-21))\/((-9)\/a). Solve -4*s + 2*d + d + 2 = 0, -2*s - d - y = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4*(5 + 0 + sqrt(1539) - -1*(3*sqrt(1539) - sqrt(1539))) + -2))**2.\nAnswer: 4752*sqrt(19) + 222100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4133448 + 10*k - 2066691 - 2066757.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 404\/24*(-3)\/(-3) and 18\/29?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13953*h + 27824*h - 11 - 13878*h.\nAnswer: -7*h - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r + 1\/3*r**3 + 9 - r**2.\nAnswer: (r - 3)**2*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10124 - 9275. Calculate the remainder when x is divided by 119.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 8*p**3 - 105*p**2 + 20*p - 94. Calculate t(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((28\/(-21))\/(1\/(-3)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/88 and -75\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/10)\/(26\/65)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*q - 2*q + 78, 5*q = 0. Let w = b - -95. Suppose o + 4*s + 62 = 6*o, 5*o - 66 = 2*s. What is the highest common divisor of o and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 times 0.03?\nAnswer: -7.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -19\/1504?\nAnswer: -19\/1504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 257.24 - -4.76. Let p = -5714359.060351 - -5714621.06. Let z = p - b. What is z rounded to five decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 - m + 4 - 5 - 2*m**2 - m + (m - 3 + 3)*(1999*m + 3758*m**2 - 1999*m).\nAnswer: 3757*m**3 - 2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 11*j**2 + 3*j - 25. Let r(l) = 45*l**2 + 11*l - 93. Calculate 22*k(h) - 6*r(h).\nAnswer: -28*h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(-1 + -2 + 4). Suppose d = 26*o + 3*o - 3654. What is the greatest common divisor of o and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24414435 + 33?\nAnswer: 24414501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.5, 3\/7, 4, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14789*b**4 + 57*b**2 + b + 53 wrt b?\nAnswer: 354936*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 6:08 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + c - 9. Suppose 0 = c*s - 5*h + 32, -3*h + 4 = -s + 3*s. Let w be (-3)\/(2\/s*2). Solve w*p = -p + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.0604\nAnswer: 0.01812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15007509 divided by 5002503?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*(-108)\/396.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10014 (base 5) to base 2.\nAnswer: 1001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 11*w - 269658 = 5*w. List the prime factors of w.\nAnswer: 71, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 946 + -567. List the prime factors of c.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4989409929.7 - 0.1.\nAnswer: -4989409929.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 5*h - 41 = 0, -133*v - 3 = -124*v + 3*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/32*(0 + 1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2256873, -4513749, -6770627, -9027507, -11284389, -13541273, -15798159?\n\"Answer: -t**2 - 2256873*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**4 - 32*t**3 + 139*t**2 - 5*t - 864. Let v(b) = -5*b**4 - 48*b**3 + 208*b**2 - 8*b - 1296. Let c(f) = 8*a(f) - 5*v(f). Factor c(z).\nAnswer: (z - 6)**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1388 is divided by 82.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 7:39 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 2*l - 4. Let z be w(5). Let f = -4 - z. What is the remainder when 2\/(-9) - 508\/(-18) is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 4*(-1)\/(-4). Let x be (-338)\/12 + d\/(-6). Let i = x + 34. What is the smallest common multiple of 1 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 486349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -2*a + 34, 0 = 83*b - 87*b + 3*a - 30 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1052056798 is divided by 6900.\nAnswer: 6898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1271*y**2 + 1271*y**2 - y**3 + 4*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2)*o*o*o\/(o*o\/(o*o**(-1\/3)*o)))**(-4\/29) assuming o is positive.\nAnswer: o**(-38\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -11*u - 5, 0 = 4*o + 2*u - 490. Solve -o*y + 2 = -125*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-798)\/9)\/((-4022)\/(-6033))?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z + 3. Let t(m) = m + 2. Let a(l) = 2*o(l) - 3*t(l). Let p(s) = -7*s - 2. Let b(d) = -50*d - 15. Let q(r) = -2*b(r) + 15*p(r). What is a(q(c))?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -56. Solve d + j = 3*n - 3, -3*d = -4*n + 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -75, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*l - 5*p, -5*p + 31 + 0 = -3*l. Calculate the remainder when 1*(30 - l*1) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1828, -3522, -5208, -6880, -8532, -10158, -11752, -13308?\nAnswer: -14820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2. Suppose -3*r + 40 = 2*r. Let g = 15 - r. Let x(j) = -2*j**2 - 2*j**2 + g*j**2 - 4*j**2. What is x(f(m))?\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-11))\/(145*918\/4437)\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*o = 58*o - 5*b + 1, -4*o + 27 = -3*b for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4109*l + 8215*l - 4106*l - 2*l**2 - 96 in the form g*l**2 + m + j*l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 81 = 4*r, -4*r = 2*g + 8866 - 8912 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15315459, -15315454, -15315449, -15315444?\n\"Answer: 5*w - 15315464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 1. Let a = x + -1. Is (-112)\/(-2 - a) + -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 684.7743kg?\nAnswer: 684774.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 6*i + 8. Let r = 26 - 14. Suppose 0 = -0*a + 2*a + r. Is v(a) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**3 + 6*q**2 - 6*q**2 + 2.\nAnswer: 8*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/666314?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17165, 34333, 51501, 68669, 85837?\n\"Answer: 17168*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -58*y + 111 + 201. Let c(m) = 26*m**3 + 13*m - 13. Let v(g) = -9*g**3 - 4*g + 4. Determine y*c(a) + 13*v(a).\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*v + 172*v - 515*v + 174*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8852107 (base 9) in base 10?\nAnswer: 4758271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1861 = 239. Suppose -3*m + s = 5*d - 6*m, -3*d + 4*m + 241 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.952 + -0.048. Let t = -57.86 - -29.894. Let j = t - o. What is j rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 283 - 300.8. Let q = 13.8 + l. Let w = -31\/14 - -12\/7. Which is the closest to w? (a) -0.5 (b) 1\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + 43*r + 24. Let h be b(-21). Suppose 4*d - 2*o = 6*d + 1606, h*o = -9. Let z = -562 - d. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(n**2 - 4*n**2 + n**2)*(-4*n + 2*n + n).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1930 divide 30063633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/2250 and -61\/3508.\nAnswer: 3946500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.23 - -258.23. Let y = -254.9298 + t. Round y to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k + 516. Suppose k = -g - 16. Let d = g + 235. What is the highest common divisor of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 3.5 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6172\/7217 - -2\/1031. Let -6\/7*z**3 + 2\/7*z**4 + d*z**2 + 0 - 2\/7*z = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -8 + 6 + 3 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -9) + (-3 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009761 rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 15974739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + 0 - (sqrt(20) + -1))**2*6.\nAnswer: 36*sqrt(5) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20633 is divided by 6874.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5162563001 rounded to 2 dps?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**2 + 0*s**2 + 2*s**2 + (0*s - s - s)*(0*s + 0*s + s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/v*v**(-3)*((v\/v**3)\/v)\/v**(3\/8))\/((v**1\/((v*(v**(2\/5)*v)\/v)\/v))\/(v\/(v**(-6)*v)*((v\/v**(2\/21))\/v)\/v)) assuming v is positive.\nAnswer: v**(-5939\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -3*r**5\/10 + r**4\/12 + r**3\/3 + r**2\/2 + 14*r. Is 3 a factor of c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 107 = 5*a - 127, 3*w + 5*a - 20 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5706105.\nAnswer: 3, 5, 197, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14141 + -12967299\/917. Let m = 911\/2751 - u. Determine h, given that 2\/3*h**2 + 0*h**3 - 1\/3*h**5 + m*h + 0 - 2\/3*h**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 244 - 3662\/15. Which is the nearest to -1? (a) x (b) 2 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -64618, -129233, -193848, -258463?\n\"Answer: -64615*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 133462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (1 + 2 + 4) - -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 2:21 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 167*y**2 + 2*y + 9. List the prime factors of m(-2).\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhnhhhhhhnhhhhh. Give prob of sequence hnhh.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 425661?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5 - 234*t**4 + 7252*t**3 - 89492*t**2 + 420810*t - 338338 = 0.\nAnswer: 1, 13, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 c when three letters picked without replacement from {c: 3, i: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 2, o: 1, z: 1, g: 1, d: 1}. What is prob of sequence azd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4916957 minutes in days?\nAnswer: 0.003119233125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8636.204 days to hours.\nAnswer: 207268.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/2 (b) -4\/9 (c) 25 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyi when three letters picked without replacement from {i: 4, y: 13, o: 3}?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(325))**2 - ((-3 + sqrt(208))**2 + -5 - sqrt(208)).\nAnswer: 28*sqrt(13) + 7913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14329 or 14330?\nAnswer: 14329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.49 - -3.49. Sort -3, 4, f, -6.\nAnswer: -6, -3, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33660721 divided by 33660721?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/75762 and -149\/462990?\nAnswer: 4166910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**4 + 3*n**4 - n**4 + (-2*n + 2*n - n)*(2*n**2 - 2*n**2 + n**3) - 16*n**2 + 16*n**2 + 2*n**4.\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2162287099 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -2, 1, -2\/9, -13063, 4, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.4308 or -1?\nAnswer: 0.4308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3067 or 3016?\nAnswer: 3067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21, 58, 129, 240, 397, 606, 873, 1204?\n\"Answer: l**3 + 11*l**2 - 3*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*k, 3*r - 31*k - 10 = -35*k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-1 + sqrt(136))*5 - (sqrt(136) - (sqrt(136) - -1*sqrt(136))*-5))\/(sqrt(72) - sqrt(72)*-1*-4).\nAnswer: 11*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.5 + -5. Suppose 2*r = 4*y + 22, 3*y + 0 = -15. Which is the nearest to i? (a) r (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 54590.01 days?\nAnswer: 4716576864000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.18 - -0.3.\nAnswer: 4.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.070223969 rounded to four decimal places?\nAnswer: -0.0702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 + (-30 + (-13 - -21) - -11 - -20)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((38 - 16) + 3012\/(-138)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700) + -1)*6*4 + 4 + 2*sqrt(1700) + 2)*-5*-4)**2.\nAnswer: -3744000*sqrt(17) + 459809600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a - 589 = 5*t, 0 = -4*t + 16. Let m = a - -201. Sort m, -5, -3, -11 in ascending order.\nAnswer: -11, -5, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38065169.\nAnswer: 38065169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 4 = -44. Which is the third biggest value? (a) i (b) -4 (c) -1\/4 (d) -7\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (3 - 157)*-2. Let k be (-32)\/f - (-14)\/63. Let q = -0.092 - 3.908. Which is the third biggest value? (a) k (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 867062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 272, -6, -1911?\nAnswer: -1911","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1012.3 + -1012.4. What is the closest to t in -1, -4, -50?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u. Let c(s) = -23*s**2 + 108*s + 2. Give c(v(j)).\nAnswer: -368*j**2 - 432*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*g**2 - g + 101?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 238339 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -53, -2\/13, 0.1, -1 in increasing order.\nAnswer: -53, -10, -1, -2\/13, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40077 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1016161 (base 7) to base 5.\nAnswer: -12402300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -16. Let n(j) = -j**3 - 5*j**2 + 6*j + 2. Calculate the remainder when a is divided by n(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93 by -5.\nAnswer: -93\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256846.\nAnswer: 2, 167, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 + 4. Let s(t) = -4*t. Determine s(g(a)).\nAnswer: -8*a**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 + -18. Suppose -4*u = u. Suppose 5*z - v - 2*v = t, u = -4*z - 4*v. What is the highest common divisor of z and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((15\/(-54)*-2)\/(54\/(-324)))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 364*b*k + 2*k - 194 wrt b.\nAnswer: 364*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + f - f)*(-f**2 - 2*f**2 + 2*f**2) + (2*f + 3*f - 4*f)*(4*f**3 + f**3 - 3*f**3) - 2*f**4 + 2*f**4 + 2*f**4 - 1 + 1 + f**4.\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 21221244*o. Let b(i) = -17*i. Determine b(q(r)).\nAnswer: -360761148*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -34. Let t = 21 - c. Let m = 33 - 21. Calculate the lowest common multiple of t and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*6\/120*(-10)\/(-4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -44, -135, -314, -611, -1056?\nAnswer: -1679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 38*v + 379. What is the remainder when 27 is divided by r(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327104*o + 653906*o - 326997*o.\nAnswer: -195*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20252 divided by -3.\nAnswer: 20252\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 218328 by 72776.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 358272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (3 + -2) - 1) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77819\/9 + -8647. Let h = -0.05 - -0.45. Which is the nearest to 1\/3? (a) h (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32 to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 0.0249 (b) -2\/9 (c) -0.5 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 715531798 take away 3.012?\nAnswer: 715531794.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75358, -75457, -75616, -75835, -76114, -76453?\nAnswer: -76852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 2*d - 2*d)*(-1291 + 668*d + 2594 - 1305).\nAnswer: -668*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-two fifths of a kilogram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -10.2, 1, -1\/2?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18294 + 18420. Calculate the least common multiple of 77 and b.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuaauuuuu. What is prob of sequence auau?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3970805723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 5*r**2 + 8*r - 3. Let s = -5 - -10. Is f(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1947)\/9*89\/(106711\/(-327)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1090 - 6043?\nAnswer: -4953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63586570?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(528)\/sqrt(3)) + (1 + sqrt(11) + sqrt(22)\/sqrt(2) - sqrt(11)) + -1 + -1)**2.\nAnswer: 4*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*b. Suppose 0 = -z - b*z + 10. Suppose -108 + 14 = -4*g - 5*w, -z = 5*w. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3437 a factor of 87172631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**3\/5 + 1152*p**2\/5 + 82244*p\/5 - 16680 = 0. What is p?\nAnswer: -150, -139, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 10:31 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2975*r + 59*r**3 + 2 - 62*r**3 - 3*r**4 + 7*r**2 + 2973*r to the form k*r**3 + z*r + f*r**4 + i + n*r**2 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-42)\/77 + 5218\/330\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 + 43*k**2 - 28*k - 664. Calculate y(20).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-15))\/((-16)\/(-864)*-9). Which is the fourth biggest value? (a) 2\/13 (b) -0.088 (c) n (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, a: 1, w: 1, e: 2}. What is prob of sequence ahhh?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 11*y - 8. Let d be v(12). Let p = -4467 + 4473. Which is the second biggest value? (a) -0.06 (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68142 is divided by 655?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {j: 3, x: 1, r: 1, h: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*f**3*l*y**2 + f**3*y**3 + f**3 - 5*f**2*y**3 - 9*f*y**3 - 70*l*y**3 with respect to l.\nAnswer: -28*f**3*y**2 - 70*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**6\/360 - q**4\/72 + 14*q**2 + 13*q. Let y(r) be the first derivative of w(r). Factor y(t).\nAnswer: t*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 2 + 0*q**2 + 2*q**2 - 3*q**2. Let u(o) = 3*o**2. What is u(n(i))?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -13*o**3\/6 + 37*o**2\/2 + 51*o. Let z be i(12). Let y = z + 127. Solve y = a + a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - j = 4, 0*r - 4*j = -4*r + 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -724660 to the nearest one thousand.\nAnswer: -725000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (180\/27 + -7)*1*-33. Solve -6*j - 17 = -m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:07 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187 = -2047*w + 2064*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -30*a**2 + 4*a - 2. Determine c(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 11\/6*l**3 + 8 - 26\/3*l**4 + 0*l - l**2. Is a(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 181 or 180?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22709733, 45419467, 68129201, 90838935?\nAnswer: 113548669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88963503 is divided by 29654501.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**4\/3 - 410*n**3\/3 - 37604*n**2\/3 + 933530*n\/3 + 323575 = 0.\nAnswer: -215, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epeeepeeepeeeppeeee. Give prob of picking 2 p and 2 e.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/3 (b) 2\/3 (c) -1 (d) 0.5 (e) -0.4 (f) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30278201*n**3 - n**2 + 4533*n + 718 wrt n?\nAnswer: 181669206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1533567 and 309.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 239 + 241 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112963 - 56370 - 2*d - 56464.\nAnswer: -2*d + 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2)*1*-40. Suppose y + 4*y - u = 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.31931 to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 115 - 115. Which is smaller: 3\/55 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-1440)*40)\/((-10)\/(-63))?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -174762 + 28?\nAnswer: -174734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - h - 1. Suppose y + 4*i = 0, 5*i + 22 = 3*y - 29. Let v(c) = 4*c**4 - 12*c**3 - 48*c**2 + 76*c + 12. Let u(k) = y*o(k) + v(k). Factor u(q).\nAnswer: 4*q*(q - 2)**2*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -29, -13, -4 in descending order.\nAnswer: 1, -4, -13, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 40b42 (base 14) to base 5\nAnswer: 14442003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/13 - 28*t**3\/13 + 2*t**2 + 1008*t\/13 - 3528\/13 = 0. Calculate t.\nAnswer: -6, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 12. Suppose 9*g = c + 2. Solve 0 = 2*p + g*p - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9979386 litres?\nAnswer: 997.9386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.166*0.645\nAnswer: 0.10707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32819 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -220.4551 rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10048193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 43 - 3. Suppose 0 = -y - 2*s - 2*s + 16, 4*y - 2*s - m = 0. Let o = -17516 - -17526. Solve 3*q - 1 + 2 = -y*n, o = 2*q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20112 (base 4) in base 13?\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 218645 and 350?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 3*x + 32*x**2 + 2*x.\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 72381 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95)\/133 - 138\/(-154) - 312\/22.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8246, 16520, 24850, 33260, 41774, 50416, 59210?\n\"Answer: 4*m**3 + 4*m**2 + 8234*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - -15. Suppose 0 = -16*k + 64 + 96. Calculate the remainder when u is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (40\/6)\/(2\/9). Suppose -233*w = -8156 + 20971. Let t = j - w. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228 (base 12) to base 2\nAnswer: 101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000049583281 rounded to 6 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 q when four letters picked without replacement from qiqqiqnqqqqqn?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1668*k**2. Let c(p) = -p. What is o(c(g))?\nAnswer: 1668*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84*b*n - 2*b*p**3 - 2*b*p**2 - 6*n*p**3 + 2*n*p**2 with respect to b.\nAnswer: -84*n - 2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1684 or -57?\nAnswer: -0.1684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/34, -3, 5, 2\/7, 0.42 in increasing order.\nAnswer: -3, -1\/34, 2\/7, 0.42, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y - 6*y + y. Let m(z) = z**2 + z. Let a(t) = -t**2 + t. Let o(n) = 2*n**2 + 5*n. Let x(j) = 2*a(j) - o(j). Let s(v) = -3*m(v) - x(v). Give u(s(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 + 39. Let p = 77 - b. Let r = p - 103.0081. What is r rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*q**2 - 462*q**2 - 459*q**2 + 1390*q**2.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**5\/45 - y**4\/6 + 20*y**3\/9 - 36*y**2. Factor p(q).\nAnswer: -4*(q - 2)*(q + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(154\/(-22)*(-2)\/(-7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5713314 is divided by 2252?\nAnswer: 2242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 20. Let n be (127\/(-4))\/(k\/(-4) - 2). What is the units digit of n\/2 + 4\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9869855*s**2*v**2 + 3*s*v**2 + 6980789*s*v wrt s?\nAnswer: -19739710*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 428 - 230. Let u = -82 + d. What is the highest common factor of u and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 10*n**2 + 10*n + 5. Let r = 6 - -17. Suppose 0 = -r*t + 18*t - 45. Calculate l(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2781\/7 or 398?\nAnswer: 398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000858611211 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-39)*n)**(4\/17)\/(n\/((n\/(n**(2\/41)\/n))\/n))**(-1\/9))**16 assuming n is positive.\nAnswer: n**(968800\/6273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10*200\/(-1420)*(35\/(-14))\/5?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17.7077983 times -3\nAnswer: -53.1233949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r - 6*r. Let p be 0\/((-3)\/((-3)\/(-2))). Suppose p = -3*y + w + 369 - 136, r = 5*w + 25. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12864 = -3*y - 3*p, 0 = 97*p - 94*p + 12. List the prime factors of y.\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15876 and 103705560.\nAnswer: 933350040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 2\/7, 0.3, 6683?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 1, -4, -3, 4, -10, 14.\nAnswer: -43, -10, -4, -3, 1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 674*a**2 - 7*a - 2. Let f(c) = 675*c**2 - 6*c - 2. Let z(b) = -5*d(b) + 6*f(b). Suppose 2*w + 0*w = 2. Is z(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 1369\/4*p**2 + 37\/2*p**3 - 56*p - 1 + 3\/8*p**4. Determine i, given that u(i) = 0.\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.2715+4.29\nAnswer: 13.5615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.192599 microseconds in minutes?\nAnswer: 0.00000041987665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 10:45 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1.8. Let i = 3.5 - k. Let s = -3 + i. Which is the closest to 1? (a) 0.4 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/p*p\/(p*(p*p**(-8)*p)\/p*p*p*p)*(p*p**(2\/9))**(-40))\/((p*p**(-1\/7)*p*p**(2\/3))\/(p\/(p*p**(-1\/3)))**30) assuming p is positive.\nAnswer: p**(-2546\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**3*z**5 + 79735*f**3 + 3683*f*z**6 + f*z**2 wrt z?\nAnswer: 240*f**3*z**2 + 441960*f*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 78 - 42*n + 94*n**2 - 15*n + 12*n. Is x(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 260840000 to the nearest one million.\nAnswer: 261000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/8)\/(1\/18). Let t be q\/(-6)*(-10)\/(-3). Let r(f) = f**3 + 7*f**2 + 4*f - 6. Let a be r(-5). Solve -w = w - 4*z - a, 20 = -t*z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c*x**3 + 37*c*x + 185*c with respect to x.\nAnswer: -12*c*x**2 + 37*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3578, 3406, 3110, 2690, 2146?\n\"Answer: -62*c**2 + 14*c + 3626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.285822 or 40\/3?\nAnswer: -1.285822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (6 - (-5 - -9)) + 52 + -23.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/15 in 2.4, 4\/3, 90, 44?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31158 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**3\/3 + n**2\/2 - 5*n. Let x be z(1). Suppose -x*g + 17 = 2. Solve -5*c - 18 = 4*l - 5, 5*c + 10 = -g*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/108 - (-34)\/9. Suppose -m*i - 6 = 6. Let r be 1*(-2 - 4) - i. Which is smaller: -0.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204710 by -5.\nAnswer: 40942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.4 - 1.4. Let d = r - 23. Let f = 0.3 - 0.8. Which is the nearest to -1? (a) f (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n. Let q(x) = 7*x + 231. Determine q(z(i)).\nAnswer: 21*i + 231","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + l = -5, f - 4*l - 4 = -19. Let g = -11 - f. Let s = 43 - 43.3. Which is the closest to -1? (a) g (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 445 = 427 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000000110 - -100011000000?\nAnswer: 110011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169.5927 or -1?\nAnswer: -169.5927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**2 - 18364900*k + 42158694001250 = 0?\nAnswer: 4591225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*v = -540*v + 26 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**11)\/l**(-1\/37)*l\/l**(-3\/4)*l**9)**(-2\/11) assuming l is positive.\nAnswer: l**(-3371\/814)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1213 (base 6) to base 7\nAnswer: -603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/14)\/(15\/7 - 2). Suppose -r*z = -6*z + 36. Suppose -3*j + 3*c = 2*j - 129, -108 = -5*j - 4*c. Calculate the remainder when j is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*j = -5 - 481 - 519 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 50 = -19. Suppose 3*d = -3, 6*m = m - 2*d + r. Suppose m*l - 218 = 202. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - t = 14, d - 4*t - 1608 = -1564 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 9:03 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(84) + 3*sqrt(84))*4)\/(5*sqrt(24)\/sqrt(2) - sqrt(96)\/sqrt(2))*-6.\nAnswer: -128*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 11:16 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 3, a: 2, i: 5}. Give prob of sequence li.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 12 + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(((-196)\/(-14))\/7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*r**3 - r**3 + 8*r**3.\nAnswer: 57*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153963, 307920, 461869, 615810, 769743, 923668, 1077585?\nAnswer: 1231494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-3)))**(26\/5))**12\/((n\/(n\/n**1))\/(n\/n**(1\/3))*(n*(n*n**(1\/5))\/n)**(5\/3)) assuming n is positive.\nAnswer: n**(-2843\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5, 12, 19?\n\"Answer: 7*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.9514053 rounded to 2 dps?\nAnswer: 99.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -12 and 598 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -267173725*g**3 - 330021624*g**2?\nAnswer: -1603042350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 7*r + 36 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0572407802 and -0.4.\nAnswer: -0.02289631208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 2*m + 850. Suppose 5*z - 1460 + m = 0. Suppose 8*b - 138 = 2*b. Calculate the highest common divisor of z and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, k: 8, i: 2, w: 3}. Give prob of sequence iwwi.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1497*t - 1346*t = -507 - 1305 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -0.03\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124 + -116. Suppose -o*s = 6*s - 84. Suppose 3579994 = -r + 2*b, -3 = 3*b + s. What is r rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(1 + 3*sqrt(7) + -3)*2*-4 + 5)**2.\nAnswer: -6192*sqrt(7) + 38132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 5:25 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 4653076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39\/29 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 11:03 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h + 7175. Let f(k) = 19*k + 17. What is x(f(s))?\nAnswer: -38*s + 7141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4595156471?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66526659 is divided by 227?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 442407435 rounded to the nearest one million?\nAnswer: 442000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n. Let t(l) be the first derivative of -l**3\/3 - 3. What is t(i(v))?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7791952 and 43182?\nAnswer: 70127568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 3*b + 3. Let s(f) be the second derivative of 1\/12*f**4 + 0 + f**2 - 1\/20*f**5 - 19*f + 1\/3*f**3. Give -3*s(v) + 2*t(v).\nAnswer: v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 262.82 - 262.92. Let p = 4 - -5. What is the closest to w in p, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s - 38. Let h be k(-7). Let q be 2\/(7\/(-34)*h\/(-7)). Is q >= 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1, 108 in decreasing order.\nAnswer: 108, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -250 + 212. Let t = q - -38. Sort t, 24, 2, 3 in decreasing order.\nAnswer: 24, 3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - (3 - 19 - -5). Sort -3, 2, 0, i in descending order.\nAnswer: i, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59\/6 - -34\/3. Let f = 616 + -617. What is the smallest value in 2\/39, w, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*h + 4*h + 40, -d = 2*h + 6. What is the remainder when -2*2\/d*(-42 + 2) is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1777 (b) 0.1 (c) -2\/13 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2)\/l*l\/(l*l\/((l*l**8)\/l*l)*l)*l)\/(l\/l**(-1\/9)*l\/(l**(-2\/15)\/l)))**(-1\/28) assuming l is positive.\nAnswer: l**(-293\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4)*-2)\/(455\/585*216\/896).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -110686069*q + 493495693.\nAnswer: -110686069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 114*v - 120*v + 0)*(-567 - 642 - 9).\nAnswer: 7308*v - 2436","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13\/8*a + 1\/8*a**4 - 3\/4 + 1\/8*a**3 - 7\/8*a**2 = 0. What is a?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**9\/27720 + t**8\/6160 - t**7\/4620 - t**6\/660 - 13*t**4\/6 + 15*t. Let g(l) be the third derivative of b(l). Factor g(v).\nAnswer: 6*v*(v - 1)*(v + 1)*(v + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2)*(-159)\/1431)\/(3*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -190.1 - -206. Let x = -16 + s. Let w = -12 - -12.2. What is the second biggest value in x, w, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 99*j - 1\/2*j**2 - 197\/2.\nAnswer: -(j - 197)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 51077 + 0?\nAnswer: 51077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 169*w**2 + 46*w**2 + 4*w - 469*w**2 + 85*w**2 + 1 + w**3 to j*w + m + u*w**3 + d*w**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 4 - 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 4:54 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162487*t + 162487*t - 14*t**2.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/24 of a day?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 478830014154 and 9.\nAnswer: 478830014163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*k - 83*k + 110. Suppose 13*p - k*p = -42480000. Round p to the nearest one hundred thousand.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*c + 100*c + 115*c + 84*c.\nAnswer: 502*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 3*o**2 - o - 8. Let f be h(4). Suppose -f*d - 36 = -5*d. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 10:51 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-448)\/1568)\/((-20)\/(-105))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 512 + 78. Suppose -13*k + 37 = -28. Suppose 0*o + c = k*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k - 2. Let h be (27\/27)\/(1\/(-4)). Let d(n) = -n - 9. Let i(b) = -5. Let p(y) = -4*d(y) + 7*i(y). Calculate h*p(f) - 3*u(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(91)*-2*4)\/(1*sqrt(7)*-2) + (sqrt(104)*1 + sqrt(26))\/(-4*-1*sqrt(2)).\nAnswer: -5 + 19*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3180a (base 12) in base 6?\nAnswer: -1221214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0 = 10. Let x be 0*(y\/(-4) - 1). Let n be 10\/15 + (-1)\/(-3). Is x at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 163260*a.\nAnswer: 5*a*(a + 32652)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 5:48 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90328374*x**2*y**3 - 340*x*y**3 + 45*x*y**2 + x*y - y**3 - 4*y - 2 wrt x?\nAnswer: 180656748*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04387558776 minus -1.2?\nAnswer: 1.24387558776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4*s - 10. Let v(j) = -j + 1. Let a be v(-2). Suppose a + 5 = -o - 4*r, -s*o - 2*r + 14 = 0. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1032 - -1048. Let r(k) = k**3 - 2*k - 1. Let v be r(-1). Suppose 0 = 4*z - 2*j - b, -3*z + 12 = -v*z + 3*j. Solve p - 3 = 0, 3*p = z*m + 4*p - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b (base 12) in base 4?\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h = 3*s - 22, 3*s + 8 = -4*h. Solve 0 = -2*p - 0 - s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2 + 46664*y + 23311156 = 0.\nAnswer: -11143, -523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 151 + -1059\/7. Which is the nearest to -2\/5? (a) -5 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3000 and 1800?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81961 is divided by 27317?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 502362787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 3*j**2 - 3*j + 2. Let z be p(-2). Solve n = z*n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 15504236.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - 2*c + 3*c)*(11293 + 325*c - 11293)*(3*c + 0*c - c) as p + x*c**2 + o*c + m*c**3 and give m.\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 447981759 to the nearest integer?\nAnswer: 21166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*h + 49, -3*h + 31 = -4*b - 0*b. Let x be (-8)\/3*15\/b. Suppose -24 = -4*d - x. Sort d, 2, -3 in descending order.\nAnswer: d, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 + 29*d + 19. Let o be k(15). Let g(j) = -2*j - 15. Let n be g(-10). Solve -n*v + o*v = -3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 34 - 5\/2*d**3 + 1\/2*d**4 - 31*d + 4*d**2 + 1\/20*d**5. Let m(s) be the first derivative of t(s). Factor m(i).\nAnswer: (i - 1)**2*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -47.1. Which is the closest to 1? (a) w (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-49)\/(1078\/44))\/((-2)\/(-8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 18. Let n be -2 - 1\/(-1)*5. Let m = t - n. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112368075 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3) - 22\/(-6). Suppose 1 = 3*t - 5. Find the second derivative of 10*i + 10*i**2 + 5*i**t - b*i**2 wrt i.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 18 - 26*a + (2*a + 2*a - 6*a)*(3 + 1 - 2) + (-3 + 2 - 2 + 0 + 1 + 1 + (-2 + 0 + 4)*(-1 + 0 + 2))*(a + 3*a + 0*a) to the form f*a + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01206 and -3.\nAnswer: 0.03618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 6471695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g + 246772 = 24*g. List the prime factors of g.\nAnswer: 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c - 16 = 0. Suppose c*n - 8 = -0*n. Calculate the remainder when 5 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 8*b**2 - 65*b + 216. Let f be n(16). Which is greater: -5 or f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003898 to 4 dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - w + 1595, 15*i - 19*i + 2*w + 2130 = 0. Let z = 2688\/5 - i. Factor -z*d**2 - 32\/5*d + 64\/5 - 4\/5*d**3.\nAnswer: -4*(d - 1)*(d + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 7:57 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -2 (c) -0.09 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.38 - -0.62. What is the fourth biggest value in 5, -4, c, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*n*v**2 + 2*n*v + 2*v**5 + 239*v wrt v?\nAnswer: 146*n + 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -5 (b) -12 (c) -4 (d) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from {n: 1, q: 2, c: 1, o: 1, t: 10, u: 5}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 - -71. Let u = -1645 - -3193\/2. What is the common denominator of u and 3 - (-26)\/(-6) - (-43)\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 8, 11, 14, 17, 20?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 1:29 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 275547.6 months?\nAnswer: 22962.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -33. What is the second derivative of 3*z**4 + i*z**4 - 4*z - 2*z - 2*z**4 wrt z?\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120 or 8.3?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10489\/139 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.25042km in centimeters?\nAnswer: 6425042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 441\/2058*(-5474)\/(-51)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2117.\nAnswer: -2\/2117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3883*k + 3886*k = 21 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**5\/4 - v**4\/12 + v**3\/6 + v**2\/2 - 46*v. Determine c(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(108\/10)*-3)\/((-5)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 0)*3 + 2 + 0 + sqrt(112) + -1 + 3)**2 + 4.\nAnswer: 128*sqrt(7) + 1812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*d**3 - 58*d**3 - 52*d**3 - 54*d**3 + 204*d**3.\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*h - 5*z, 1527*h + 3*z = 1526*h - 16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 6*a - 5. Suppose -3*o + 5*y + 10 = 0, -4*o + y = -7 - 12. Give g(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8738*o**2 + 9*o + 7254. Let i(v) = 43691*v**2 - 48*v - 36273. Let n(f) = 3*i(f) + 16*z(f). What is the derivative of n(w) wrt w?\nAnswer: -17470*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 10. Suppose j = -y - 0. Suppose -3*q + 5 = -5*r - 20, -2*r = 3*q - 11. Put 4, y, r in descending order.\nAnswer: 4, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**5\/40 + d**4\/6 + 7*d**3\/3 + 8*d**2 - 20*d + 1. Let j(v) = 0. What is v?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 6, 1, 25, 45, -9, -5 in descending order.\nAnswer: 45, 25, 6, 1, -5, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41467 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14280859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*c - 194 + 194 + (-2*c - 4*c + 5*c)*(5 - 4 + 0) to the form s*c + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*b + 187 = 505 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -26 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 h when four letters picked without replacement from {h: 5, z: 14}.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h**4*q**2 - 213*h**4 - h**3*q**3 - 2*h**2*q**3 + 10*h**2*q - 5*q**3 wrt h.\nAnswer: -144*h*q**2 - 5112*h - 6*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 19*q - 8. Let l be x(12). Suppose -295*f = -274*f - 168. What is the greatest common factor of l and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001902 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/50 and 1\/80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9337481?\nAnswer: 607, 15383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k**2. Let d(x) = -3*x**2 - 17*x - 17. Let v = -21 + 38. Let i(q) = 5*q + 0*q**2 + 1 + q**2 + 5 + q. Let s(p) = v*i(p) + 6*d(p). Give w(s(j)).\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-171)\/285)\/(441\/(-30)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5775287 and 688?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/12)*g*g*(g\/((g**(-9)\/g*g)\/g))\/g*g*g\/(g\/((g**(-3)*g*g)\/g))*g*((g\/(g**(-4\/5)\/g))\/g*g)\/g)**(-6\/29))**(1\/14) assuming g is positive.\nAnswer: g**(-119\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + (-2 - (2 - 5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**2 - 161*g - 31. Determine v(-40).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2\/13*n**2 + 28\/13*n + 64\/13 = 0?\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705728 is divided by 37076.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 - 3*f**2 - 3*f - 3. Suppose 2*m = 1 + 3. Suppose -5*y - 2*z - 1 = 3, 0 = y + m*z - 4. Calculate x(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18248*k**5 + 3439*k**4 - 260785*k - 6 wrt k?\nAnswer: -364960*k**3 + 41268*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 631333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -223653.87 to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.85 - -19.85. What is the second biggest value in 13, 2, l, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 45. Solve -w = -f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4015640 and -0.174550716.\nAnswer: -4015640.174550716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -370.9 + 371. Let u = 2 - -6. Let d = 8.3 - u. Which is the biggest value? (a) -2\/3 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/47769 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -712 + 2439. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 12*d - 13*d. Let m = d - -16. Suppose q + q = m. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -3. Suppose -18 = -n - f. Let q = n - 10. Solve 0 = -4*a + 8, q = 5*b + 3*a + 1 - 27 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -210 - -181. Let m = 6 - r. Solve -m + 10 = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -386 + 385.98797. What is j rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**7\/4620 - y**5\/660 + y**3\/3 - y**2. Let s(r) be the first derivative of p(r). Solve s(x) = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 8*u**2 + 2. Let k be x(-8). What is the second derivative of -4 - g**k + 3*g + 4 wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1560 - -6607. List the prime factors of k.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8806099\/43 - ((-6)\/5)\/(23\/(-115)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13323 - 13307. Solve 5*g - 21 = 4*c, k*c + 2 = 18*c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147652588 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -20*c**2 + 36412 - 36412. Let r(s) = -5*s**2. Calculate p(r(k)).\nAnswer: -500*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 255953.4 + -255945.101185. Let w = n - 0.298855. Let m = -8 + w. What is m rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 11*z - 49. Let s be o(5). Suppose 2*x = 0, 0 = 5*r - s*r - 3*x. Suppose -2*m - 185 = -v, 5*v + 4*m + r*m - 883 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -22, 1, 0.01, 5, 4, -5\/48?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4)*(-52)\/(-26)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -1784*o + 3599. Give p(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -2, 4, -5, -103, -0.1 in decreasing order.\nAnswer: 4, -0.1, -1\/4, -2, -5, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4))**(-18\/7)\/(k**(3\/5))**(-6\/5) assuming k is positive.\nAnswer: k**(27\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 322 and 434.\nAnswer: 9982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*l**4 + 19*l**4 - 27*l**4 + (-2*l**2 - 2*l**2 + 6*l**2)*(2*l**2 + 2*l - 2*l) + l**2 + 2*l**4 - l**2 + 0*l**4 + 3*l**4 + 0*l**4.\nAnswer: 24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*p = -168*p + 15678. List the prime factors of p.\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56748?\nAnswer: 2, 3, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - -3*sqrt(170)*4) + 3*sqrt(170)*5)\/(sqrt(160)*-4 + sqrt(640)*4).\nAnswer: 7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, y: 13}. What is prob of picking 1 y and 2 v?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 7*k**2 + 6*k + 3. Let g be h(-6). Let z be ((-34)\/g)\/(6\/(-9)). Solve -m + 8 = r + 3, 0 = -m - 5*r + z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 4. Suppose 0 = -h*k + 3*k. Solve k = l + 3*l + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3299617374 to the nearest integer?\nAnswer: 57442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/2)\/((-2)\/(-6)))\/(15\/2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/2*(-304)\/(-1596). Let a(f) be the first derivative of 13 - l*f**3 + 6*f**2 + 16*f. Factor a(m).\nAnswer: -4*(m - 4)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = -0. Suppose -t*p - 4*p = -2*p. Solve 3*g - g - 6 = 3*s, 3*g - 3*s - 6 = p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261604 is divided by 81?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000083143 rounded to 7 dps?\nAnswer: 0.0000831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and 72087 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*((6*(sqrt(72) + -1) - (1*sqrt(72) + 1))*6)**2*-1*1.\nAnswer: -45360*sqrt(2) + 199692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3139.876 + -3174.8760042. Let s = -134 - -99. Let j = t - s. Round j to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k - j = 34, k = 3*j + 14. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llwu when four letters picked without replacement from {w: 8, u: 4, l: 2, n: 2, a: 3}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 1\/3, -1\/6, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(288) - (sqrt(18)*2)\/sqrt(9).\nAnswer: -14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*d + 400*d = 64 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -13 - (-37 + 5 + 14). Solve a*p - 11*z + 16*z + 40 = 0, 5*z = -4*p - 38 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.1 - 12.1. Let h = 1\/47 + 43\/188. Sort 23, z, h in descending order.\nAnswer: 23, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60525 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10632 from -0.01.\nAnswer: -10632.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 3:02 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3766 a factor of 321397972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9335.\nAnswer: 5, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6*f + 5)*(-f**4 - 8*f**4 + 3*f**4).\nAnswer: -36*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 7966 - 150859. Let y = w - -23577. What is y rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8860446?\nAnswer: 2, 3, 7, 70321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10\/33 - -16\/165. Let i be 16\/(-21)*(-3066)\/1460. Find v such that 8\/5 + w*v**2 + i*v = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 9:31 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 678991 to the power of 1\/2, to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 99.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*1\/10*0)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q - 52. Let s be o(7). Solve -4*u - s = 0, -3*h = 2*h + 2*u - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 845694 is divided by 10571?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9023 + 2?\nAnswer: -9021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven eighths of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*f - 89*f - 120*f = 57*f + 31668 for f.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17604 - -17612. Let f = 0.6 - -2.4. Let v = f + -6. Which is the third biggest value? (a) v (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-90)\/(13 - 7)*4\/10. Let z be 41 - (8 - q\/(-2)). What is the greatest common factor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2\/11 - 182*j + 465888\/11 = 0.\nAnswer: 368, 633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 5*i + 3. Let o be f(-6). Sort o, -4, 3, 2 in decreasing order.\nAnswer: 3, 2, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.565531 - -40.2655419. Let k = o + -19.7. Round k to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - 10. Let o = v - -30.21. Let i = o - 0.53. What is i rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6\/11)*b**18 assuming b is positive.\nAnswer: b**(192\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9*t**2 - 730*t - 728. What is v(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 8*q + 2*q)*(0 - 2 + 4) + q + 2*q - 6*q.\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 6*t**2 + 8*t + 3. Let n be p(-4). Put n, 2, 5 in decreasing order.\nAnswer: 5, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304936169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 4) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509991504.\nAnswer: 2, 7, 617, 21851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -40 - 30. Let k(d) = d**3 - d**2. Let w be k(0). Suppose s = -w*s + 100. Calculate the greatest common factor of s and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 - -111. Let x = 1509 + -4379\/3. Let z = j - x. Are 1 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9558.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 + 62. Suppose 2040 + 1971 = u*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19f7f (base 16) to base 4\nAnswer: -121331333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((126\/(-24))\/((-6)\/4)). What is the nearest to z in 3, -3\/2, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7388 + -7387.8. What is the closest to -69 in -0.1, -4\/3, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojjo when four letters picked without replacement from ojojjjjjjjjjojoo?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + w - 3*w + (-4 + 4 + 2*w)*(1 - 3 + 4))*(4*w**2 + 0*w**2 - 3*w**2)*(-4*w + 2*w + w).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5*v + 55, -4*v + 2 = -5*v. Calculate the remainder when f is divided by (-12)\/(-8)*2\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*y + 87*y + 75*y + 84*y - 351*y.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.153062284 + -0.2.\nAnswer: -0.353062284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 36 = 3*d - 19, 1 = -3*d - 2*h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80650.\nAnswer: 2, 5, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-576 + 576 - 3*n)*(-3 - 4 + n + 5) as f*n**2 + o*n + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**4\/12 + 7*t**3\/6 + 2*t**2 - 10*t. Is 3 a factor of b(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1720\/9288*24\/(-20).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**5\/60 + u**4\/4 - u**3\/2 - 59*u**2. Determine j(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 70912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12113130223 (base 4) in base 15?\nAnswer: -22e757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + o + 17. Calculate x(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*i + 11228 - 11147 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -159 + 2086. What are the prime factors of l?\nAnswer: 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 4*k - 16, -13*k + 9*k + 16 = -5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + l - 3 + (-2 + l + 2)*(-4900 - 325 + 874 - 421 - 4840).\nAnswer: -9611*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 9:12 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39114.3 + 39114. Which is the nearest to 1.5? (a) q (b) -5 (c) 4 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 - j - 5. Let o(f) = -11*f**2 - 3*f - 15. Give -6*o(y) + 17*t(y).\nAnswer: -2*y**2 + y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 2 + n**2 - 2*n + 3*n**2. Let b be (-2 - -7)*6\/(-15). Calculate the remainder when v(b) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 70, 100, 130?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150 - -266. Let g = 115.9999947 - q. What is g rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2089 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(19) + -5 + 2.\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1)*v)\/v)**(-28)\/((v*v**(-1\/3)\/v*v)\/v**(-4)) assuming v is positive.\nAnswer: v**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -246 - -215. Which is the third biggest value? (a) -2 (b) s (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26, 58, 94, 134, 178?\n\"Answer: 2*f**2 + 26*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75.8 * -3.\nAnswer: 227.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -311901718 * 0.1\nAnswer: -31190171.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((6 - (-5 - (8 - 11))) + 0) - -61.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*a - 1278 = 0, -3*a = -0*a + 3. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 350491933, 350491935, 350491937, 350491939?\n\"Answer: 2*q + 350491931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a day in hours?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1326 and 483106.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 29*j + 22. List the prime factors of h(3).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 10 - 8 - (4 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z - 24*z - 6 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 9:43 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 6. Let t(k) = -20*k + 304. Let u(i) = -i + 19. Let p(y) = -5*t(y) + 80*u(y). Give p(s(o)).\nAnswer: -20*o - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/26)\/b)\/b)\/b*b*b*b**(6\/5) assuming b is positive.\nAnswer: b**(11\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - (-7 + 21 + -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -142927630.3 rounded to the nearest one hundred thousand?\nAnswer: -142900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from uvayuyyyuuvuyym?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 13*q. Let d(p) = 26*p. Determine -4*d(t) + 9*k(t).\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6*z + 4*z + 5*z)*(2 + 0 - 3) + 9*z - 5*z + 5*z)*(-z**2 - 3*z + 0*z + z)*(-10*z + 133 - 133) to o*z**4 + i + q*z**2 + r*z + t*z**3 and give o.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 330252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1 + sqrt(1008) - sqrt(1008))*4)**2 - (((sqrt(105)\/sqrt(5) - sqrt(21))*-1)\/sqrt(3)*-6)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 22, 2 in descending order.\nAnswer: 22, 14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 571*0.4\nAnswer: 228.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 13*t**3\/6 - t**2\/2 - 2*t. Calculate the remainder when c(3) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 714 = -3057. What is the remainder when b is divided by 105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 5*q + 9. Suppose 3*k - 9 = 0, -5*u + k - 8 + 30 = 0. What is the least common multiple of 14 and o(u)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -6. Let x be (1 - (m + 3)) + 6. Suppose 2*j + 0 = y - x, 0 = -2*j - 4. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 381 + -77. Let u = -195 + k. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1325, 1597, 2327, 3743, 6073, 9545?\nAnswer: 14387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20 - 0)*638\/55. Let f = m + 244. What is the remainder when f is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 11 = 2*d + 2*f, -3*d + 5*f - 7 = 0. Let n be 51\/(-84) + 1\/d. Which is the closest to 1? (a) n (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 5. Suppose 13*m + 4996 = 212. Let w = m - -364. Which is the second smallest value? (a) w (b) -2 (c) t (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 6*l**2 + l - 2. Let t be z(6). Suppose 0 = -t*x + 40 + 12. Suppose -j + x = 2*n, 4 - 2 = 4*j - 2*n. Solve r = -2*r + j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/20 + (-26)\/8. Let b(a) = -4*a + 37. Let h(u) = 3*u - 36. Let g(z) = r*h(z) - 2*b(z). Does 9 divide g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(10) - sqrt(10)*-5))\/sqrt(2).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 1280*k + 163856.\nAnswer: -4*(k - 418)*(k + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 1 - (-11 + -3 + 12). Let t = 2 + 20. What is the greatest common factor of n and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3002795250?\nAnswer: 2, 3, 5, 7, 13, 43997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in -4\/3, 22, 2\/5, -13\/3, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r - 23*r = 37 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**4 + 2*s**3 - 3987836*s**2 + 13986727*s wrt s.\nAnswer: 12*s**2 + 12*s - 7975672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0. Let h = 0.08 - 5.08. Let l = 655\/8 + -82. Which is the smallest value? (a) w (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 11. What is the third derivative of 5*c + 6*c**3 - 5*c + 2*c**2 - 3*c**q wrt c?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from yfvyjj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1148883, 1148868, 1148853?\n\"Answer: -15*l + 1148898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a. Let c(r) = 70*r - 36911. Calculate k(c(d)).\nAnswer: -140*d + 73822","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0*-865.4827\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + sqrt(605) + sqrt(605)*2 + 4 + 3 - (-2*sqrt(605) + 3 + -5))**2.\nAnswer: 1188*sqrt(5) + 21861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 5172 = -5223, -5*a + 245 = 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 + c**3 - 3*c**3 - 2*c**3 - 3*c**2 + 3*c**2 + (-3*c + 4*c + c)*(-3*c**2 + 0*c**2 + 4*c**2) - c**3 + 5*c**2 - 5*c**2 + 360*c**3 - 5191*c + 5191*c.\nAnswer: 357*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221423500 rounded to the nearest one million?\nAnswer: -2221000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 385 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12622556 - 20626049. Let o = 11503493 + d. Round o to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by 402306.\nAnswer: -13\/67051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103.3 - -104. Which is the nearest to -2\/7? (a) -4 (b) -0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-10))\/(1\/(-5)). Let x = s - -3. Let a = -198970 - -198972. Solve x = 3*u - a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205583219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.005718, -6, -8?\nAnswer: 0.005718","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 949.4251l in millilitres?\nAnswer: 949425.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 divided by -18?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4837 + -85?\nAnswer: 4762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.106 + -11?\nAnswer: -10.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5454, -5326, -5130, -4866, -4534?\nAnswer: -4134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5582.\nAnswer: 2, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4377 - 335*h**5 - h**4 + 4554 + 4*h - 36*h**5 wrt h?\nAnswer: -7420*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 3 = -3*k, -12*k + 11*k + i + 1 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 39, 175, 517, 1167, 2227, 3799?\n\"Answer: 17*o**3 + o**2 + 14*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 269321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7518 * -134\nAnswer: -1007412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25033 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*b + 10339 = -0*b, 2*b - 4138 = -2*l. List the prime factors of l.\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2282353406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.4, 3, 313\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126100641 (base 7) to base 12.\nAnswer: 2883853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*c + 4*l + 11, -2*l = 5*c - 55. Suppose 2*s + c = s. Let w = s - -19. Is 8 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*p - 11*p - 96. Suppose 37 = 4*i - 3*q, -16*q - 20 = -20*q. Suppose 54 + p = i*d. What is the smallest common multiple of 68 and d?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 16 = -9*b. What is the tens digit of b + 1539\/12 + 5\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 1)\/((-2)\/(-22)). Let a(h) = h**2 - 10*h + 11. Let f be a(10). Suppose v - f = -0*v. Calculate the greatest common divisor of j and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**4\/36 - 11*c**3\/54 - 2*c**2\/9 + 18*c. Determine i, given that a(i) = 0.\nAnswer: -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/5))**(2\/27)*(t**(-3\/8)\/t)\/(t**(-3\/14)\/t*t))**(-2\/85) assuming t is positive.\nAnswer: t**(8887\/321300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5 - (0 + -6)*(-396)\/(-27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -148.5194.\nAnswer: 1633.7134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7692 - -93. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -11*u. Let n(x) = 13*x. Give l(n(d)).\nAnswer: -143*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140356 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjwpjwpjjwjwjgjpjj. What is prob of picking 1 p, 1 w, and 1 g?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 215*r - 15. Let g(m) = m - 18. Determine p(g(v)).\nAnswer: 215*v - 3885","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2 - 104*l + 0 - 99*l + 293*l - 96*l. Give f(7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2880751491?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 223181154 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 + h**2 - 3*h + 3. Let s(q) = q**3 + q**2 - q + 1. Let n(f) = -p(f) + 6*s(f). Let r(u) = -u**3 - u**2 + u - 1. What is -n(g) - 3*r(g)?\nAnswer: -5*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 4072 in increasing order.\nAnswer: 2, 4, 4072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*366.95\nAnswer: -146.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/15*6\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 93222410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*k = -4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9350*t + 12241*t - 308 + 147 + 161 to c*t + w and give c.\nAnswer: 21591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**6\/15 - 3*v**5\/2 - 34*v**4\/3 - 32*v**3 - 10*v - 96. Find u, given that f(u) = 0.\nAnswer: -8, -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by 24\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 745, 1476, 2207, 2938, 3669, 4400?\n\"Answer: 731*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**7\/168 + 11*s**6\/120 + 43*s**5\/80 + 73*s**4\/48 + 7*s**3\/3 + 2*s**2 - 437*s. Solve z(d) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 9 = -4. Let m(s) = 0*s - x + s**2 + 0*s - 2*s. What is the remainder when m(-4) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35802940*c*k*s + 26*c*k + 713*c + 286*k + 2*s**4 - 2 with respect to s.\nAnswer: 35802940*c*k + 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1690 is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 9*t**2 + 6*t + 45. Determine x(6).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 615135788 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4844544 and 74119?\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -605069 - -7?\nAnswer: -605062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -62 - 33164?\nAnswer: -33236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 124*h - 7 + 99*h - 15*h**3 + 14*h**3 - 223*h. Determine c(4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 73 - -19?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 1402*l**7\/105 - 434*l**4\/3 - 4192*l**2. Find the second derivative of v(h) wrt h.\nAnswer: 33648*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in -5, 5\/4, -53\/2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - (-232488)\/32*2 - (-4)\/(-8)?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681116539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhjgjjhgjhgjgj. Give prob of sequence gg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 32*s - 12. Let b(l) = 11*l - 4. Let y(a) = 2*a + 9. Let u be y(-10). Let j(r) = u*b(r) + 4*o(r). What is the first derivative of j(t) wrt t?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -3\/6890, 24, -10, -53 in decreasing order.\nAnswer: 24, -3\/6890, -2\/3, -10, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**6 - 337*i**2 - 41*i**5 + 4*i**6 + 464*i**5 + 81*i**5 wrt i?\nAnswer: 240*i**3 + 30240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2 or 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-42)\/3))\/((-2)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y. Suppose y = -4*i + 4*b + 292, 2*b - 199 = -2*i - i. Let f = -34 + i. Calculate the greatest common divisor of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + m**3 - 2*m**3 - m)*(m - 3*m + 11*m) as y*m**4 + w*m + c + i*m**2 + u*m**3 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 7 + 1)*(-2*n + n + 3*n)*(6 + 4 - 5) to the form f + w*n and give w.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6813986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 t when three letters picked without replacement from {l: 7, t: 3}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -15492342.\nAnswer: -77461710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 13 = -4*n - 23, 0 = 2*o + 4*n + 16. Sort o, -1, 2, 8.\nAnswer: o, -1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -166522?\nAnswer: 166517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4156 in -0.131, -0.2, -0.1, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 14*w - 240. Is 15 a factor of c(30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*z + 4 = 2, -3*z - 6 = c. Suppose 4*n + 0*v = 3*v + 14, -5*v - 12 = -n. Suppose -c*p = -n*p - 12. Solve -p*q = -2*q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2 + 0*v**2 + v**2 + 8 - 7*v. Suppose 0*l + 5*k + 7 = 3*l, -l + 1 = -3*k. Suppose p - 2*t = -6, -l*p = -3*t + 6*t - 31. What is f(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*-5931683.\nAnswer: -213540588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 4*d**2 + d - 9. Suppose 0 = 4*j - 2*c - 4 + 24, 4*j = -c - 8. Let o be w(j). Let v be (o + 2 - 1) + (4 - 0). Solve 9 = g + v*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17804.826 nanoseconds to days.\nAnswer: 0.000000000206074375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3905 = -5*x, -y + 980 = -9*x + 4*x. What are the prime factors of y?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10173898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40514 + 769768\/19. Suppose h*o**2 + 28\/19 + 18\/19*o = 0. Calculate o.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 8) in base 3?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22625719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7688 and 298.\nAnswer: 7986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 42. Is v smaller than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4427 divided by -233\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 21*l - 2. Let j(t) = 63*t - 5. Let w(i) = 4*j(i) - 11*u(i). Is w(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/5, 201883, 0.5 in descending order.\nAnswer: 201883, 5, 0.5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**7\/1680 - v**6\/120 + v**5\/20 + 2*v**4\/3 + 2*v. Let l(h) be the third derivative of m(h). Factor l(d).\nAnswer: 3*(d - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45449.\nAnswer: 47, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.63122 to one dp.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.29883318 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 5:17 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4335 - 4332. Solve 4*x - 49 + 35 = 2*g, n*x + 4*g - 5 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 545 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -390, -801, -1234, -1689?\nAnswer: -2166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*m**3\/5 + 5841*m**2\/5 - 15963*m\/5 - 4356\/5 = 0. Calculate m.\nAnswer: -1\/4, 3, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.133439848 rounded to three decimal places?\nAnswer: 0.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-2) - 3108\/5544 and 67\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -927 - -995. What is the remainder when r is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/4*((-4)\/(-12) + (-105)\/45).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.03 and 0.4.\nAnswer: 2.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/17839?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - d - 6 = 0, 0 = 2*t + 23*d - 18*d + 9. Solve 7*r + t*r - 50 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 2*m**2 + 1. Let g be p(-2). Let f be 9*g\/4*4. Sort f, 5, -5.\nAnswer: -5, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Let f = 2.94 - -0.06. Which is the nearest to f? (a) 0 (b) -0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002984 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 98. What are the prime factors of o?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3227*m**2 - 3229*m**2 + 2 - 2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 36*a - 315. Give n(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 8. Let f be k(-5). Let l(a) = 6 - 7*a**2 - f*a**2 + 10*a**2 + 7*a. Give l(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 2 - 13525*x**2 - 13648*x**2 + 40351*x**2 - 13789*x**2 to g*x**2 + a + p*x and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 98 = -4*h + 9*h, 4*h + 2*q = 64. Suppose -4*y + 12 = -4*n - 9*y, 2*n + 8 = -3*y. What is the highest common factor of n and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4 - 5517*u - 16 + 5519*u. Suppose -n + 2*j = -4, -3*j + 6*j - 30 = -3*n. Calculate the remainder when 6 is divided by z(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21034 - -21160. Solve 138*f = 96*f + n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-130))\/(-2*(-3)\/(-30)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1189, 673, 0.\nAnswer: 0, 673, 1189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/901238 and -137\/6997848.\nAnswer: 118963416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqq when three letters picked without replacement from {i: 1, z: 3, q: 2, m: 3, a: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607257.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m. Let u(l) = 308893*l. Calculate u(t(n)).\nAnswer: -617786*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147942*i**5*w - 2*i**4*w**3 - 2*i**2*w**3 - 1585*i**2*w - 3*i*w**3 - 2*i*w**2 - w**3 wrt i?\nAnswer: 8876520*i**2*w - 48*i*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**7\/840 + u**6\/90 + u**4\/6 - 19*u**3\/3 - 22. Let c(p) be the third derivative of w(p). Determine c(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ey when two letters picked without replacement from uuuuiiykiguge?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*c - 57 = 0, 4*o + 2*c - 64 = -2*c. Let n be 10\/(-25) + 424\/10. Let h = n - o. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -1\/20*d**5 + 8*d**2 - 11\/6*d**3 - 11*d - 13\/12*d**4 + 0. Let s be a(-12). Solve s*h + 3 = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5*sqrt(52) - (2*sqrt(13) + 4)) + 1*(sqrt(13) - (sqrt(13) + sqrt(52)) - sqrt(13))*-4 + 2)**2.\nAnswer: 40*sqrt(13) + 5201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401217515 to the power of 1\/2, to the nearest integer?\nAnswer: 20030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 0*g**2 + 9*g + 0*g**3 - 2*g**3 - 3*g**2 to the form x*g**3 + f + l*g + u*g**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (252 - 257) + 5 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21010011211 (base 3) in base 12?\nAnswer: 690aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 7:31 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**3 - 204*j**2 + 200*j = 0.\nAnswer: 0, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 65 + 14 = 101 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or -8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -d695a (base 16) to base 15\nAnswer: -12565d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 467.2 - 467. Let l = -2 + 2. What is the smallest value in p, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 30*u**2 + 90*u - 22. Determine j(26).\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 558588 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-10 - -10) + 17 - 94) + (-5 - -1)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*f**4 - 225.\nAnswer: -148*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h = 6. Is (27 - 0)*(-3)\/h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -2*r**7\/105 + r**6\/5 - 4*r**5\/15 - r**4 + 10*r**3\/3 + 20*r**2 + r. Factor y(m).\nAnswer: -4*(m - 5)*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2269229550?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 - 4*k**2 - k. Let a(y) = -14*y**3 - 12*y**2 + 36*y. Give a(p) - 3*m(p).\nAnswer: -8*p**3 + 39*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(190)*1*-6 + (sqrt(190) - -3*(sqrt(190) + sqrt(190)*-1)))*3)\/(sqrt(40)*-3 + sqrt(1440)*-3)*3)**2.\nAnswer: 12825\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51001010 (base 6) to base 10.\nAnswer: -1446558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42.8697 and 5.\nAnswer: 214.3485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 - -122. What is the hundreds digit of -5 - (1065\/y - (3 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -32, -21, -58, -3, 5 in decreasing order.\nAnswer: 5, -1, -3, -21, -32, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11936.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 201033792 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3185 is divided by 571.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*x + 306 = 0, -f - 3*x = -3*f + 316. Let p = f + 224. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = 3*o + 5*d, 3*o - 6159*d = -6158*d - 49 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 633 + -618.66. Let p = -12.4 + n. Round p to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 308210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 73*p**2 - 1303*p - 36. Let q be y(-42). Solve 2*z + z = -q, 0 = -3*s + z + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 3*r - 20, 0 = 2*r - s - 2*s - 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 18 - 75. Let z = 35 - f. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 - 0 - (-4 - -7). Suppose 45 = -5*g + n*x, 3*g + 3*x + x - 1 = 0. Let l(v) = -v**2 - 5*v - 4. Let s be l(g). Put 5, s, 3 in decreasing order.\nAnswer: 5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f (base 16) to base 8.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/108345 and -17\/147669?\nAnswer: 5333065935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -43. Let s be (-2 - (-2 - 0)) + p. Let c = -15 - s. Solve 2*j + c = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 158*a**2 - 1. Let c(z) = 5*z**2. Determine c(n(o)).\nAnswer: 124820*o**4 - 1580*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + r**2 - r)*(-r - r + 0*r + (35 + 10 + 0)*(5*r + 2*r + 4*r) + (5 - 3 - 1)*(4*r - 3*r - 2*r)) in the form k + p*r**2 + q*r + f*r**3 and give f.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1665*d - 1262*d - 103114 = -9450 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80733 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*x**2 + 127*x**2 + 52*x**2 in the form m + j*x + a*x**2 and give a.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 4. Let x = 5.303 - 0.003. Let d = x + -0.3. Which is the closest to r? (a) 3 (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12, 9, 6, 3?\n\"Answer: -3*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 3. Let t be q(3). Let h = 29 - t. Is ((-10)\/4)\/(-5)*h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/8 of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 - m. Let d be g(1). Suppose d*z = -0*z + 104. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2918979 divided by 20.\nAnswer: -2918979\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**8\/504 - 8*v**7\/315 + 17*v**6\/180 + 34*v**5\/15 + 5*v**4 - 1933*v**2. Let u(z) = 0. What is z?\nAnswer: -6, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -54*x - 589. What is the hundreds digit of q(-41)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**3*v**2 - 5*q**3 - 2*q**2*v**2 - 15*q*v - 24*q wrt v?\nAnswer: 4*q**3*v - 4*q**2*v - 15*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*s - 2*s + 0*s)*(s**2 - s**2 + s**2) - s**3 + 5*s - 8*s - s**3.\nAnswer: 5*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -802 and 105?\nAnswer: -84210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152969*a - 152962*a - 152969*a + 764814*a - 152969*a - 152964*a.\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgrjddgdgst. What is prob of sequence tggr?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 16590 = 115*o. Let g = 31 + 9. What is the remainder when o is divided by g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -84?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/((-559)\/(-43))*7*(-6)\/10\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 80*z**5 - 2280*z**4 + 6845*z**3 + 3855*z**2 + 500*z = 0. Calculate z.\nAnswer: -1\/4, 0, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 1200?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -21*z**2\/2 - z + 581. Let b(r) = -r + 1. Determine b(u) + n(u).\nAnswer: -22*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -4*f + 16. Let y(v) = 3*v**3 + 10*v**2 - 108*v - 456. Let t be y(-4). Sort f, -5, t in increasing order.\nAnswer: t, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 t when three letters picked without replacement from tsujtjtiptiu?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3250, 13267, 30122, 53815, 84346, 121715, 165922?\n\"Answer: 3419*m**2 - 240*m + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m + 2. Suppose 0*i + 2*i = 5*k + 6, -5*k + 15 = 5*i. Let d(n) = 5*n - 5. Let j(o) = i*d(o) + 7*t(o). What is j(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 173, 384, 659, 986?\nAnswer: 1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 9*k + 46. Calculate w(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*f - 1996, -5*c + 307 = -3*f + 2791. Calculate the remainder when c\/(-18) + 2\/(-3) is divided by (-42)\/(-4)*12\/27*3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 25, 7*y - 9*y + c - 41 = 0. Let f be (-6)\/2 + (4 - 5). What is the remainder when 188 is divided by 8\/((-75)\/y + f)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**4 + 15*o**3 + 15*o**2 - 35*o - 30 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*r**3 + 12\/5*r + 8\/5 + 6\/5*r**2.\nAnswer: (r + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6b1 + 3?\nAnswer: -6ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 1 - 1)*(z + 5*z - 2*z) + (-8 + 8 + 6*z)*(-2*z + 11*z - 29*z).\nAnswer: -112*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -n - 2*q, -5*n + 8*n + 5*q + 4 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117.2*-74.\nAnswer: -8672.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13725274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-5)\/4 - (-24)\/(-32)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*g - 2*s, 3*g - 36 = -0*s - 2*s. Find r such that -21 + 58 + 27 - 48*r + g*r**2 - r**3 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1342 + 1342 + 39*m**4)*(0 - 1 + 0).\nAnswer: -39*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - h. Let s be u(0). Let v(z) = z + 20. Let r be v(-15). Suppose r*f - 13 = 2, 0 = -n + f + 14. Solve 4*c = -s*c + 3*t - n, 17 = -c + 5*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 9:25 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lllallll?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3.6+0.0432\nAnswer: 3.6432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 281*p**2 - 12*p + 10. Let y(m) = -140*m**2 + 6*m - 5. Let r(l) = -6*a(l) - 13*y(l). Find the second derivative of r(x) wrt x.\nAnswer: 268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 747 in -0.4, -6, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 3*b = 892 - 870, 0 = 2*q + 5*b - 18 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31171)\/28)\/73*-4.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7\/9 - -4\/9. Let y = -4 - -3. Which is the nearest to x? (a) -2 (b) 1\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -333 and 19110?\nAnswer: -6363630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 450788*m**2 + 112*m - 479934462.\nAnswer: 901576*m + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**4 - 24741*f**3 - 1034961*f**2 - 9279855*f = 0?\nAnswer: -8205, -29, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(2 - 3 - 1)*(71 - 71 - 17*t**4) + 10 + 5*t**4 - 10 in the form k*t**4 + a*t**3 + l*t + z + v*t**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4089)\/165 + (-846)\/(-4653))\/((-2)\/10)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i = -23*i - 3*g + 20, -2*i + 3*g = -10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.3 * -20.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f + 3*n - 12, 2*n = -4*f + 16. Suppose 0 = -f*p + 3214 - 373. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 8*r + 2. Let n be l(6). Let d = -550 + 581. Suppose w + d = 2*a, 4*a - 40 = -4*w + 4. Is n < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(-14)*0\/1)\/2. Suppose -7*t + 3*t + 408 = 2*x, r = -3*x - 3*t + 606. Let g be (x\/75)\/(2\/3). Solve 4 = z + b, -4*b - 16 = -g*z - 0*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 223*v**3\/3 - 156*v + 72. Find the first derivative of y(d) wrt d.\nAnswer: 446*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(-3*i**2 + 4*i**2 - 3*i**2) + i**2 + i**2 + 0*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d - 2. Let s be f(-2). Suppose s*p - 44 = -0. Calculate the least common multiple of 1 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330629?\nAnswer: 13, 29, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -405 divided by 27?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 89 + 119 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131*n - 7 - 6 - 123*n wrt n.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124990628.\nAnswer: 2, 7, 1423, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 119, 494, 1141, 2078, 3323, 4894?\n\"Answer: 3*c**3 + 118*c**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -111.35213 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -124800*4\nAnswer: -499200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 697 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**0)\/(q**(-3)\/q)*q\/(q*q**(-2\/15)*q)*q*q\/q**(3\/4)*q\/q**(1\/4)*q\/(q*q**(4\/7))*q**(-5)\/q*q\/q**(1\/5)*q assuming q is positive.\nAnswer: q**(143\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 1209386633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 8*h + 1. Let n be l(8). Suppose 2*t + n = -3. What is the smallest common multiple of 10 and (-3 - t) + (-27)\/(-3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 - 4*f**4 + 0*f**4 + (-2*f - f + f)*(-6*f + 0*f + 3*f)*(0 + 0 + 4*f**2) + f - f + 2*f**4 as u + q*f**4 + v*f + g*f**2 + d*f**3 and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.2 - 3. Let s = -13 + 20. Let u = 7.4 - s. What is the nearest to 0.1 in o, u, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s + 2*s + s. Let c be 2\/10 - 360\/(-75). Let f(w) = -5*w + 3*w - c*w + 5*w. Calculate z(f(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/885750 and 77\/375?\nAnswer: 885750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -17, -0.2, -5, 321, 200.\nAnswer: -17, -5, -1, -0.2, 200, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002707325 to 6 dps.\nAnswer: -0.000271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - v - 3*v + 123 = 0, 4*v - 54 = -2*i. Suppose 2*q = -5*y + 1, -2*q = -3*y - 9 - 0. Solve 0 = -4*d + p + 1, q*p - 5 + i = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1001*c**3 + c**2 - 11*c + 9. List the prime factors of y(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 4:16 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30804986 + -26 - -14) + -1*2. What is d rounded to the nearest one hundred thousand?\nAnswer: -30800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 371, -3, 0, 928, 3 in descending order.\nAnswer: 928, 371, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 11:17 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 q when three letters picked without replacement from qxrquu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348362 is divided by 75.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*j - 506*j = -10361 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -220 + 222. Solve 0 = -y - 4*y - u*r - 6, 6 = -y + 2*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**6\/120 - b**5\/12 - b**4\/6 - b**3\/3 - 603*b**2. Let k(r) = r**3 - 2*r + 4 - 6*r**2 + 0*r**3 + 5. Let f be k(6). Give q(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*-1 - (sqrt(14) - (sqrt(1134) - (sqrt(1134)*-2 + sqrt(1134)) - sqrt(1134))))\/((sqrt(24) + -3*sqrt(1536) + sqrt(1536))\/sqrt(12))*3.\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, h: 2, l: 3, f: 2}. Give prob of picking 1 n, 2 f, and 1 l.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/8)\/(3\/(-6)). Let o be (-1)\/(-2*v\/30). Solve 4*u + 1 = o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**5\/60 - q**4\/12 - q**3\/3 + 2*q**2. Let j be ((-8)\/20)\/((-1)\/(-5)). Calculate d(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/4)*y**(-33)*y*y**(-31)*y*(y\/y**(-22))\/y assuming y is positive.\nAnswer: y**(-157\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -184763315 > -184763316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (2 + -2 + 1)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -75*d - 2640, 4*x - 100 = 3*d + 2*x - 5 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 3)*(-3*v + 0*v - 4*v) + 2*v - 6*v + 2*v)*(-v - 2*v + 0*v + (-2*v + 0 + 0)*(3 + 0 - 2)).\nAnswer: 45*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 - 5*d + 6. Let u = 10 - 5. Let w(c) = 4*c**2 + 6*c - 7. Let l(x) = u*w(x) + 6*h(x). List the prime factors of l(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 9*h = 0. Suppose 3*n + 0*n + 3*m - 21 = h, 3*m - 1 = 2*n. Let t be (-1)\/(-1*7\/2). What is the biggest value in n, 2, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 - -125. Sort r, -5, -3, -6 in increasing order.\nAnswer: -6, -5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 2*x**2 - 5*x**2 + (1 - x - 1)*(-5*x + 3*x + x) - 2*x - 2*x**2 + 2*x)*((0*x + 4*x - 2*x)*(19 - 9 - 5) + (1 + 3*x - 1)*(4 - 4 + 1) - 1 + 1 + x).\nAnswer: -42*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**5*y + 7*f**4*y - 3*f**3*y + f**2*y + 36*y wrt f.\nAnswer: -60*f**2*y + 168*f*y - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -21*p**3 + p**2 + p. Let z be k(-1). Let c = z - 10. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9883366.\nAnswer: 2, 37, 133559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921 is divided by 805?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 7 = 5*r, 4*u - 2*r = -184. Let d = -45 - u. Calculate the remainder when d is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2436 divide 215957622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 0*q**3 + q**2 - 2*q - q**3 - 9*q**2 - 6 + 2*q**2. Let g be j(-6). What is the second derivative of -y**5 - 2*y**5 + 0*y**5 - g*y wrt y?\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18, 20, 26, 36, 50, 68?\n\"Answer: 2*y**2 - 4*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 5*d + 3. Let b be t(5). Suppose 0 = b*v - 4 - 2. What is the third derivative of 255*z**4 + 26*z**v - 9*z**2 - 272*z**4 wrt z?\nAnswer: -408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a year?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1216910422 to the nearest integer?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58\/5 + -12. Let r = 10 - 9.97. Let t = -0.97 - r. What is the second smallest value in u, 2\/3, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -15*n**4 - 37010*n**3 + 98815*n**2 + 37050*n = 0?\nAnswer: -2470, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 17*t**2 - 2*t - 1. Let o be l(-1). Suppose 5*d = -0*d + 3*r + 150, 4*r = -2*d + 60. Let y = -24 + d. What is the greatest common factor of o and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*k**4\/5 + 2204*k**3\/5 - 36092*k**2\/5 + 149076*k\/5 + 53784\/5 = 0. What is k?\nAnswer: -1\/3, 9, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, 46, 142, 326, 628, 1078, 1706, 2542?\n\"Answer: 5*s**3 - s**2 + 6*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -657 + 711. Suppose -5*l = -2*x + c, 8 = 7*l - 3*l. Solve 4 = -9*b - x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 + 18*s**2 - 6*s - 1. Let n be l(8). Suppose -6*i = 19 - n. Suppose i*g + 12 - 122 = 0. What is the lowest common multiple of g and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c**2 - 142*c - 695. Calculate o(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 2}. Give prob of picking 1 g and 1 p.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 7*l - 16*v - 33 = -7*l, 3 = 2*l - 3*v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1043115 (base 6) to base 12.\nAnswer: -2649b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 75107050307 and 9.5.\nAnswer: 75107050316.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + -2*sqrt(209)*6)\/((sqrt(99)*-2)\/sqrt(9)).\nAnswer: 11*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 338 and 1740752?\nAnswer: 22629776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28299 is divided by 26378?\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.45 + -0.35. Let y be 9\/(-156) - (-3 - (-39)\/12). Which is the second smallest value? (a) 0.3 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/21 - (-6 + (-155)\/35). Solve -15*n - 15 = -z*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 506, 1456, 2854, 4706, 7018, 9796, 13046, 16774?\nAnswer: 20986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (224\/354 - (-530)\/15635)*1. Let y(p) = p + 10. Let l be y(-7). Let d be 2\/6*l\/4. Which is the nearest to w? (a) 2 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 39*o - 396. Let b be y(10). Let j(i) = -88*i - 118. What is the hundreds digit of j(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26597 + -26596.963531. What is u rounded to 4 decimal places?\nAnswer: 0.0365","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**6 - 7*t**2 - 9*t**2 - 11*t**2 + 10*t**2 wrt t.\nAnswer: 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1763 + -1721. Calculate the greatest common factor of o and 910.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 9*x + 6. Let w be i(-8). Suppose w = 5*y - 6. Suppose 206*m - 197*m - 27 = 0. What is the highest common divisor of y and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 688246203000?\nAnswer: 688246202999.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17443, 17435, 17427, 17419, 17411?\nAnswer: 17403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2490, 2521, 2550, 2577?\nAnswer: 2602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/((a*a**(-1\/3)*a*a)\/a)*a*(a*a**(1\/6)*a)\/a*(a\/(a*a**(-12)))\/a*a*(a\/a**(1\/59))\/a assuming a is positive.\nAnswer: a**(1709\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - i**2 - 3*i - 1. Let m(n) = 3*n**3 + 15*n**2 - 69*n - 1. Let q(p) = 2*m(p) - 2*t(p). Factor q(u).\nAnswer: 4*u*(u - 3)*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149244003 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-39 + 26) - (-62 - 16).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, h: 7, b: 1, w: 5}. What is prob of picking 3 r and 1 b?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/211 in 3, 2\/7, -182\/3, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57165?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 + 222*x - 9 - 9)*(4 + 1 - 6) to z + v*x and give v.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30662*a + 30705*a - 61280*a.\nAnswer: 87*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(210)\/sqrt(10) - 4*sqrt(168)\/sqrt(8))\/(-3*(sqrt(847) + (sqrt(847) - sqrt(847)*2)) + 4*(sqrt(847) + sqrt(847)*2)).\nAnswer: sqrt(3)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 11:12 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 459, 1182, 1915, 2664, 3435, 4234, 5067?\n\"Answer: f**3 - f**2 + 719*f - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2 + 7. Let w(o) = -o**2 - 4*o + 5. Let u be w(h). Determine d, given that 0 + 1\/2*d**3 + u*d**2 - 1\/2*d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272599969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 978 divided by -31.\nAnswer: -978\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**4 - 35*p**3 + 3*p**2 + 161*p + 100. Let h(a) = -a**4 - 70*a**3 + 8*a**2 + 321*a + 200. Let u(k) = -6*h(k) + 11*s(k). What is x in u(x) = 0?\nAnswer: -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/1617)\/(138\/(-966)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 + n**2 + 2*n. Let u(d) be the first derivative of d**4 - d**3 - 5*d**2\/2 + d - 5. Give 5*k(q) + 2*u(q).\nAnswer: -2*q**3 - q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 14. Let y(h) = h. Let u(a) = f(a) + y(a). Suppose -189 - 25 = 19*t - 24. Determine u(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -88, -155, -256, -403, -608, -883, -1240?\nAnswer: -1691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiimmmmiim. What is prob of sequence mii?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f + 72. Let r(l) = 5*l - 2. Calculate m(g) + 2*r(g).\nAnswer: 6*g + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659*g**3 + 39*g**3 - 275*g**3 - 49*g**3.\nAnswer: -944*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2447*k - 2436*k + 11. Let h(i) be the second derivative of -11*i**3\/6 - i. Give h(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-863 - -862)*-3*1\/(-3) - (-19)\/21.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -60, -97, -134?\n\"Answer: -37*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, v: 4, i: 1, s: 7}. What is prob of sequence iv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77592758*b**5 - 228*b + 5507 wrt b.\nAnswer: 1551855160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 380, 605, 994, 1583, 2408?\nAnswer: 3505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22121325?\nAnswer: 3, 5, 98317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1\/9, -2, 4.7 in decreasing order.\nAnswer: 4.7, 1\/9, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3551918 millilitres?\nAnswer: 0.0003551918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7356671*g**2 + 36375217.\nAnswer: 14713342*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.1 - 16. Let j = x + 0.8. Let k be ((-36)\/(-8))\/9*-2. Which is the second biggest value? (a) k (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 5. Find the second derivative of a - a + 2*a - 4*a + 5*a**w wrt a.\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 - -2 - -3*1. Suppose t = -3*f + 1119 - 198. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 7176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1115\/30 + 636\/(-2952) + (-16)\/(-328).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 0*x + 1\/4*x**4 - 5\/3*x**3 - 4*x**2 - 8. Give d(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611.5389 decades in centuries?\nAnswer: 61.15389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63445750*v**3 - 61927072.\nAnswer: 190337250*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -1572165?\nAnswer: -11\/1572165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2448)*2*-6 + 4*sqrt(2448)*-1)**2 - (-2 + -2*sqrt(17)*3 + -5)).\nAnswer: -3133475 - 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -370.484608 rounded to the nearest integer?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.2289 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 3 - 3)*(13 - 1 - 1) - 22 + 17 - 13)*(49*l**3 + 2*l**4 - 6 - 49*l**3) to the form j + r*l**4 + x*l**2 + z*l + b*l**3 and give r.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 8 = -3*d. Let n = 0.334 - 0.734. Which is the second biggest value? (a) 0.02 (b) n (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)*1*6 + 5 + (1 + sqrt(405) + -2 - (5 + 1 + sqrt(405) + sqrt(405))))*4)**2.\nAnswer: -2880*sqrt(5) + 162064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/4 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*c**5*d - 80*c**4 + 525*c**3*d - 3136344*c**2*d wrt c?\nAnswer: -360*c**2*d - 1920*c + 3150*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**3 - 5*q**2 + 4*q. Let m(z) = 7*z**3 - 5*z**2 + 3*z. Let y(l) = -4*m(l) + 3*o(l). Find the third derivative of y(v) wrt v.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 2*c - 2, 0 = -2*a + 4*a - 4*c - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n**3 + 2*n**2 - 1. Give w(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 1. Let y(m) = 6*m + 6. Let v be 2\/((-2 + 1)\/(2\/4)). Give v*y(o) - 4*z(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -6 - (-9 - -3)) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 10*f**3 - 21*f**2 - 18*f - 5. List the prime factors of k(11).\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5282*m + 4012 wrt m?\nAnswer: -5282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**2 - 3*q - 3. Suppose -8*l + 10*l = 5*w - 14, 29 = 3*l + 5*w. Let d(i) = 6*i**2 - 2*i - 4. What is l*d(c) - 4*z(c)?\nAnswer: -2*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2175, 2131, 1991, 1755, 1423, 995?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 61. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37408)\/(-1336))\/((-20)\/(-35)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8592\/37 in -0.3, 4, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -274 + 1144. Suppose h = 3*v - 303. Let t = v - 140. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4879?\nAnswer: 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/10)\/(-1)*750\/(-450)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -875*x - 3586. Give i(-4).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 210166938 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(8\/22))\/(-4 - -3). Let s = 55 - l. Calculate the greatest common factor of 66 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59808 divided by -6.\nAnswer: -9968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1802 is divided by 636.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/35 - 16\/(-40). Let s = 289\/399 + -13\/21. Let t = -1135\/3 - -378. What is the nearest to t in m, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, m: 3, c: 1, r: 2, d: 5, f: 8}. What is prob of sequence ftc?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from {t: 12, k: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/5 + 25270*c**2 - 1894692*c\/5 - 1364256 = 0. Calculate c.\nAnswer: -3, 18, 63160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3.01. Let v = h + -0.31. Which is the closest to -2? (a) -2 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30357.\nAnswer: 3, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 7*h - j - 8, -3*h - j - 1 = 0. Suppose -11 = -2*s - h. Find the third derivative of -9*p**s + 24*p**5 + 7*p**2 - 8*p**5 wrt p.\nAnswer: 420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.18, 4, 69, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 15*c**2 + c + 24. Let r be w(-15). Calculate the common denominator of 3\/120 + (-2)\/5 and (r\/(-168))\/(17\/(-1020)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 2*q. Let p = -32 + 36. Let x be (0 - 8*p)\/(4 - 5). What is the highest common factor of x and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 196966, 1, 15 in decreasing order.\nAnswer: 196966, 15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392243 is divided by 126.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 - 192*h - 150 - 32*h**2 - 2*h**3 + 24*h**2 - 28*h**2 = 0 for h.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 3*n**2 - 5*n - 23. What is the hundreds digit of u(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-12 + -4 - -4) - (41 - 16).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 445 and 652?\nAnswer: 290140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 607\/(-1))*1. Let y be (-6)\/4*p\/24. Let z = 59 - y. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 322*z. Let t(l) = -4*l. Give v(t(q)).\nAnswer: -16*q**2 - 1288*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410*y + 515*y - 1260 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50125.\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 16*f**2 + 2*f + 1. Let m be n(16). What is the greatest common factor of 66 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75\/17, 2, -41 in decreasing order.\nAnswer: 75\/17, 2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*t = 13770, 2*t + 6936 = -3*i + 20718. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103*q**4 + 11*q + 6469 with respect to q.\nAnswer: 412*q**3 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11114042203 (base 5) in base 8?\nAnswer: 56573203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*g = -4, 2*g = 2*t + 3*t + 2. Suppose -2*m + 4*m = 14. Suppose -10*i = -m*i + 15. Which is the biggest value? (a) t (b) -0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 0, -2\/7, 2\/7, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -51. Suppose 19 = c*n - 31. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 422326172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4730 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7))\/(-17 + 11 - (-1608)\/84)?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 849 - 3556 - 2903 = 0. What is the remainder when k is divided by 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y - 463*y + 483*y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -5 (b) 1\/9 (c) 0.5 (d) -994\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxjjvxvxvxx. What is prob of picking 3 v?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**3 - 2*a**2 - 4. What is the second derivative of i(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 655.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, l: 3, f: 3}. Give prob of picking 3 s.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, t: 2, q: 3, e: 3, m: 3}. Give prob of picking 2 e and 1 q.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kccckcckkckk. Give prob of picking 1 c and 2 k.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or -10622?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q = -390. Suppose -5*t + 3*z = -31, 5*t - 22*z = -24*z + 71. What is the remainder when q is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b*n**3 + 2*b*n**2 + 5*b*n - 42*b + 17*n**3 wrt n.\nAnswer: -24*b*n + 4*b + 102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3655)\/(-172)*(-28)\/(-35)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 47*2690\nAnswer: 126430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 8*k - 75722 = -4*p, 5*p = k + 94653. List the prime factors of p.\nAnswer: 11, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 2 (b) -40 (c) -2 (d) 131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 66, -30, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 j when three letters picked without replacement from {k: 1, z: 1, q: 2, d: 1, j: 4, p: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -38, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18845405.\nAnswer: 5, 3769081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19266*g*p**3 - 6*g*p**2 + g*p + g + 7380 wrt p?\nAnswer: 115596*g*p - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (30\/9 - 3)*12. Suppose r*f = f + 168. Calculate the highest common factor of 84 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, n: 3, g: 2, i: 2, y: 1, b: 3}. What is prob of picking 1 i and 1 y?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-3) + 2\/6. Let z(y) = -3 - 3*y + p*y - 4. Let x be (42\/12)\/((-1)\/(-2)). What is z(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbbbbbbdddbddbbbbbb. What is prob of picking 3 d and 1 b?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82 and 2898?\nAnswer: 118818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(1377) + -3)**2*5.\nAnswer: 540*sqrt(17) + 27580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2.54974+-0.2\nAnswer: -2.74974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 24*u + 91. Let d be r(-4). Let k(q) = -q**3 - 6*q**2 - 8*q - 11. Let b be k(d). Solve -3*h = -5*o - 17, 0 = b*h - 3*o + 2*o - 17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/40 and -77\/5742650.\nAnswer: 22970600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -39, -32, -21, -6, 13, 36?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1622\/(-6)*(-30)\/(-20). Let y = 428 + d. Calculate the common denominator of 61\/9 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/3*6\/4*11220\/(-990).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3 + 147*k**2 - 2160*k + 8384 = 0. Calculate k.\nAnswer: 8, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*t + 7 + 83, -a + 3*t - 24 = 0. Let u = 39 + a. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16.39? (a) 2\/23 (b) -0.5 (c) 26532\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -0.026.\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*h - 52 = 0. Let d(l) = l**2 - 12*l - 2. Let w be d(h). Let k be (3 - w)*(-9)\/4. Calculate the highest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(5 - 4) + (-6)\/(-2). Suppose b*k = -5*k + 20. Suppose -4*n = -5*h + 30, -22 = 2*h + 5*n - 1. Solve -4*r - w = -4 - 4, 0 = -k*r - w + h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 37 = 10. Let l(j) = r*j + 2*j + 5 - 12*j. Calculate l(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -2\/671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3389 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 40*f**2. Let h = -5 - -6. Let s be x(h). Suppose 2*a + 3*a = 5*w + s, 2*a - 24 = 4*w. Solve 2*p = -a*d, 4*d = 4*p + 2 - 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1)*y)**28\/((y**(4\/5)*y)\/y**5))**(-20) assuming y is positive.\nAnswer: y**(-624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, m: 2}. What is prob of sequence mmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23968*q**3 - 48090*q**2 wrt q?\nAnswer: -143808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/(-8) - (-33)\/44. Let x be (8\/3 + v)\/((-2)\/(-6)). Suppose x*h - 563 = 731. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3288 + -2967. Calculate the remainder when d is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*a - 146, -5*a = 322*u - 313*u - 260. Solve 38 = u*c - 6*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3299389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 51 + 4*g + 112 + g**2 - 22 + 9*g**5. What is the derivative of h(d) wrt d?\nAnswer: 180*d**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dssd when four letters picked without replacement from {r: 2, i: 2, t: 1, s: 1, d: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15767 - -15763. Let n be 2\/4*(-3 + -1). Let x = 1 + n. Sort y, 2\/7, x in decreasing order.\nAnswer: 2\/7, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g. Let a(l) = 96*l - 112583. Calculate a(r(k)).\nAnswer: -96*k - 112583","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 456581, 913161, 1369741, 1826321?\nAnswer: 2282901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/27 and 85\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a**(-7)*a)\/a)\/a*a\/(a**(-3\/7)\/a)*a\/((a**7\/a*a)\/a)*a**0\/a)**(-31\/5))**34 assuming a is positive.\nAnswer: a**(77996\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 93?\nAnswer: -837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 12952?\nAnswer: 181328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 46) + -13 + -3 + -15\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + n - 10, 0*z = z - 2*n - 1. Solve 0 = -6*h + z*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 60 (b) -14 (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*y**2 - 205*y**2 + 109*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 578 divided by 289.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 3*q - 65 = 0. Put 2, 8, q in decreasing order.\nAnswer: 8, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -230 > 6512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssddspdd. What is prob of picking 3 s and 1 p?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**4 + 0*v**4 - 5*v**4)*(4*v - 3*v - 5*v) - 6*v**5 + v**5 + 4*v**5.\nAnswer: 7*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (35\/10)\/((-4)\/8). Let j be ((-7)\/s)\/(2\/6). Suppose -j*h + 89 = 3*i - 205, 2*i = -4*h + 202. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1081 - 123554\nAnswer: -122473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(48)\/sqrt(6)) - sqrt(5)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 17 - 11\/20*l**5 - 1\/8*l**2 - 1\/12*l**3 + 0*l + 9\/16*l**4 + 1\/6*l**6. Factor t(h).\nAnswer: h*(h - 1)**3*(4*h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*a + 24 - 5, a = -5. Let s(u) = -4*u + 1. Let n = 5 + 0. Let h(i) = 3*i - 1. Let z(x) = n*s(x) + 6*h(x). Calculate z(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1258 + 24*g**3 + 1258.\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232729147 - 0.\nAnswer: -232729147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 16 - 61. Suppose -2*p - 48 = 2*g, p + 2*g + 30 = 1. Let y = p - -27. What is the remainder when j is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 827*d**2. Let i(y) = -2*y. Calculate w(i(b)).\nAnswer: 3308*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6840*j + 3303. Let f(v) = -171*v + 83. Let w(k) = 2*c(k) - 81*f(k). Differentiate w(m) wrt m.\nAnswer: 171","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdygdymddmwd. Give prob of sequence mymg.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 667 or 2663\/4?\nAnswer: 2663\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i**3\/3 - 97960*i**2\/3 - 457204*i - 783792 = 0. What is i?\nAnswer: -12, -2, 97974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 2 + 2)*(1 + 3 - 3)*(-2*y + 0*y + 3*y)*(0*y - 6*y + y)*(-y + 2*y + 0*y) to the form c*y**2 + b*y + w + d*y**4 + p*y**3 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + z = -2*z + 41, -9 = 3*z. Suppose 0 = 2*a + 3*a - x. Suppose 2 + 42 = a*r. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u + 11 = -33*u. Let r(p) = 1. Let v(l) = l + 1 - 1. Determine u*v(c) - r(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12471*p**3 + 19116*p**2.\nAnswer: -74826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5399763 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -537 + 544. Solve -4*u = 2*q + 16, -4*q + 9*u = r*u - 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61, 42, 47, 76, 129?\n\"Answer: 12*f**2 - 55*f + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15897305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30727 is divided by 1044?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -8. Let y be (126\/35)\/(2\/c). What is the greatest common factor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 497 + -6955\/14. Does w = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934884 to the power of 1\/2, to the nearest integer?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/9*9\/6. Suppose 0*z = -3*z - t - i, 0 = 4*z - 4*t. What is the common denominator of 1 + (z\/10 - (-1004)\/(-80)) and -31\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -27.392 minus -14.225?\nAnswer: -13.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1330\/(-40))\/(-19)*(-8)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760 + 990 = -23*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 2*u + 6, -2*i - 863*u = -866*u + 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7378 (base 12) in base 4?\nAnswer: 3011030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40, 224, 552, 1096, 1928, 3120?\n\"Answer: 12*r**3 + 100*r - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o - 4*o**2 + 2*o**3 + 0*o**3 + 5*o + 3*o to c*o**3 + g + h*o + n*o**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 297 and 68079?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 43\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -11, 5, -5, 152 in decreasing order.\nAnswer: 152, 5, 4, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4.4, 0, -1\/18, 3 in descending order.\nAnswer: 4, 3, 0, -1\/18, -4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**27\/j*j*j**(-2\/7)*(j\/(j*j*j*(j*j*j\/j**17)\/j*j)*j)\/j**10)**40 assuming j is positive.\nAnswer: j**(8320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d + 58. Let o be n(20). Let v(w) = w**3 + 2*w**2 - 2*w + 4. Calculate the smallest common multiple of 2 and v(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 4*d - 184, q - 68 = 3*d - 6*d. Let t = 60 - q. Calculate the remainder when 17 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 5*y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 376883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 5:04 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**3 + 31*m**2 - 67*m - 7. Give f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1900539 + 32323022\/17. Let d = -815 + j. What is the third biggest value in -4\/7, d, 1\/2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(1\/18)*h))**(-30))**(-32))**(-4\/21) assuming h is positive.\nAnswer: h**(640\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.310969 nanograms to grams.\nAnswer: 0.000000001310969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.9 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709671181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -818532.966 rounded to the nearest one thousand?\nAnswer: -819000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a + 51. Let g be k(-16). Suppose 116*z = 119*z - g. Let l(n) = -n**2 - 2 - 6*n + z - 4 + 0. Determine l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from bffbffffybbfyfby?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5769 (base 13) to base 10\nAnswer: -12255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3546 + 3546.3. Which is the fourth smallest value? (a) -0.4 (b) 17 (c) m (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107336 to the power of 1\/2, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 16) to base 5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 70 + 731 + 2413 + 1462 + 334 + 2*x**2 in the form y*x + i + h*x**2 and give i.\nAnswer: 5010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from gffggfff?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**3 - 3*t**2 + t + 3. Let j = -51 - -72. Let i = -22 + j. Let n be o(i). Solve 0 = 5*h + 19 - n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -d + 19. Let s = d - -8. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 6.00000535. Round v to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + 3*r**5 + 2*r**5 + (-11 - 11 - 79)*(4*r**5 + 5*r**3 - 5*r**3) + (-4*r + 4*r + r**4)*(0*r - 4*r + 2*r).\nAnswer: -404*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26201*s - 35551*s + 38378*s - 11120*s to r*s + w and give r.\nAnswer: -34494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v = -135. Suppose -10*i = 22*i - 211 - 717. Do i and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4773 * -227.\nAnswer: 1083471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 8825996 to the nearest one hundred thousand.\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (22\/8)\/(2\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 1 + 9. Let a(i) = i**2 + 10*i - 8. Let g be a(-12). Suppose 2*b - 3*y = 20, 0*y + u*y + g = 2*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11091 + -11080. What is the third biggest value in 1\/42, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6)*5*(22 + 24\/(-1))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385591963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 511663 divided by 157?\nAnswer: 3259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 56 = -2*y, m = 5*y - 2*m - 153. What is the second derivative of 155*n + 1 - y*n**5 - 196*n - 96*n**5 wrt n?\nAnswer: -2520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -75. Solve f = -4*u + 9*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - -119. What are the prime factors of j?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/2460 - -8747\/820. Let 0 - 56\/3*o**3 + 4\/3*o**4 + q*o - 16\/3*o**2 + 4*o**5 = 0. Calculate o.\nAnswer: -2, -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 583100026 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y*y\/((y\/y**(7\/3)*y)\/y))\/y*y**(2\/5))\/(y**2\/(y\/((y*y\/((y*y*((y\/(y*y\/((y\/(y*(y\/y**(1\/2))\/y*y)*y)\/y)))\/y*y)\/y*y*y)\/y)*y)\/y))) assuming y is positive.\nAnswer: y**(67\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 229 = 2*h. Is (h\/(-12))\/(((-24)\/6)\/1328) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9697 or 9685?\nAnswer: 9685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-2)*(-1)\/7. Let j = -53.6 + 60. Let c = j + -6. What is the closest to 0 in b, c, -1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -716*s + 988. What is w(1)?\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 40833 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 39 (c) 28 (d) 1 (e) -1 (f) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -82 (b) -1\/4 (c) 2\/5 (d) -0.4 (e) -1.7 (f) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 107004, 107011, 107018, 107025, 107032, 107039?\n\"Answer: 7*a + 106997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 0*v**2 + v**2)*(1 + 4*v - 4*v - v**2) - 10*v**4 + 5*v**3 - 5*v**3 + (0 + 0 + 1)*(-2*v**4 + 2*v**4 + 4*v**4) + v**3 - v**4 - v**3.\nAnswer: -6*v**4 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/132 and 19\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 77656932, 155313865, 232970798, 310627731, 388284664?\n\"Answer: 77656933*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 5:02 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 5*s = 42 - 12, 4*n + 28 = -4*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcbembma. Give prob of picking 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/354 and 0 - (2 - (146\/30)\/((-192)\/(-240))).\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 5*n**2 + 7. Let w(m) be the first derivative of 2*m**3\/3 - 3*m + 1. Let f(x) = 10*w(x) + 4*y(x). What is the first derivative of f(t) wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16985?\nAnswer: 5, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4454 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293406*i + 880305*i - 293447*i - 293451*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 times 0.1?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-d - d**3 + d + (-6*d + d + 3*d)*(-5*d**2 + 5*d**2 + 2*d**2) + d**3 - 2*d**3 - 2*d**3).\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 82604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 12) + (6 - 3) - (28 - 52 - -73).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2995*x + 3013*x - 6012*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + p - 34 = 4, -5*a = 3*p + 46. Calculate the remainder when a\/40 + 2133\/15 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 18*t**2 + 24*t - 5. Let a be r(19). Let g be (-6)\/4*(-100)\/15. What is the highest common factor of g and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 - 14*j**2 + 151141*j\/3 + 454314.\nAnswer: -(j - 373)*(j + 9)*(j + 406)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**6 + 2*g**2 + 7*g**2 - 6*g**6 wrt g?\nAnswer: -600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 31\/2 of a week?\nAnswer: 2604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 19 = 4*i, 0 = 4*c + 5*i - 7*i + 22 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -2) + -27 + -13 + -8 + 44 + -8?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*u + 813 - 91, 2*a = -5*u - 1812. Let c = -9047\/25 - u. Let k = 96\/175 - c. What is the nearest to 1 in -2, k, -2\/13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101297 or 101429?\nAnswer: 101429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43b73 (base 13) to base 7.\nAnswer: 1020661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 - 26*j**3 - 37*j - 39*j + 11*j**4 - 56*j + 3 + 131*j to the form d*j**2 + q + g*j**4 + k*j**3 + s*j and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 0. Let f = 3 + r. Let z = -2 - -1.5. Which is the nearest to -1? (a) f (b) 0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105628617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1899 + 1803 - 933 + 200*d wrt d.\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 = 5*w + 37*n, 1545*w + 3*n + 2*n = 1546*w + 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x. Suppose 26 - 2 = 4*b. Suppose -1 = -2*t + 3*t + 3*o, 0 = -5*t - o + 9. Let m(s) = t*s + 2*s + s - b*s. Determine m(n(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10880 is divided by 2145.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3511843*i**3 + 1060165*i**2 wrt i?\nAnswer: -21071058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -5. Let k = 6 + o. Let u(y) = k*y + 0*y - y. Let j(c) = 2*c. What is u(j(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3391, -13520, -30397, -54022, -84395?\nAnswer: -121516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 2*g**2 + g. Let h be x(1). Suppose -3*p + 4*f + 1 = h, -p - f - 3 = f. Let j = -91 - -96. Which is the closest to p? (a) 3\/2 (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212123 + 220011031?\nAnswer: 213132302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/91 in -3\/5, 1\/4, -0.1, -1\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 440 + -437. Solve 4*c - 2*h + 12 = 0, -t*c + 9*h - 9 = 4*h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/28*8 - (24 - -27)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**2\/2 - 145*t\/2 = 0.\nAnswer: -145, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -84, -4\/3, 1\/4 in decreasing order.\nAnswer: 16, 1\/4, -4\/3, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -452 - -482. Calculate the remainder when 89 is divided by s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 13. Let y = 342 - 318. What is the first derivative of 54 - 20*g**k - y + 2*g**4 wrt g?\nAnswer: -72*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {a: 11, s: 1, k: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 - 1)\/((-10)\/(-1890))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = 4*j + j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0432074387 and 2?\nAnswer: -0.0864148774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = 0, 5*l - 24 = -4*w + 52. What is the remainder when -1 + 1 - (-46 - -3 - 3) is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 208\/(-6) - (-40768)\/(-61152)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17858239?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1645\/12 + 137. Let g = 0.7 + 0.3. Let l = g - -4. Sort l, x, 1\/9.\nAnswer: x, 1\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -919*u - 4*f = -922*u + 158, -205 + 11 = -2*u + 5*f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 515, -2, -4, 0, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.42869141 rounded to 2 dps?\nAnswer: 4.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1\/3 (b) 0.31 (c) -3 (d) -90 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/3 - 2\/6. Suppose 7*n - 4*n = f. Let o(m) = -m - 3*m**2 + 2 + m**3 - m + m. Give o(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 101 = 2*k + v, -3*k - 5*v + 161 = 0. What is the greatest common factor of k and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-10 - 161\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 31*b**2 - 35*b + 165. Let r be y(30). Solve j = 12 - r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*n + 5*w, -n + 14*w = 19*w - 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2070 by 5.\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -661 - -661.2. What is the nearest to 2 in -1\/4, w, 2\/135?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**3 + 36*z**2 + 32*z = 0 for z.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 149 and 9.\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 113 - 25*g**2 - g**4 - 55 - 5*g**3 + 24*g**2 - 62 as n*g**4 + m*g**3 + v*g + y*g**2 + d and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15035 and -0.1?\nAnswer: -1503.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwa when three letters picked without replacement from {x: 8, p: 1, w: 3, a: 1, i: 2, y: 2}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-5))\/((-5)\/5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 57797407.65 to the nearest 1000.\nAnswer: 57797000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -671 (b) 5\/4 (c) 5 (d) -25\/2 (e) 2\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 8*a + 62. Let m be u(-15). Let k = m - -281. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147.6 + -71.9. What is l rounded to zero decimal places?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (21\/19 - 0). Let o be (-84378)\/(-252) + 1\/6. Let q = o + -334. Which is the biggest value? (a) q (b) -5\/2 (c) -0.4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 43*p**2 - 20*p. Let n(b) = b**2 - 10*b. Let d(o) = -m(o) + 2*n(o). Let a(f) = -40*f**2. What is 2*a(i) - 3*d(i)?\nAnswer: 43*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a397 - -25?\nAnswer: 2a411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 463341 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 756*u + 79. Suppose 2*q - 18 = -3*q - o, -2*o - 8 = -q. Is a(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4844409ml?\nAnswer: 0.0004844409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 1. Let d be n(-1). Suppose -d + 2 = v, -2*o + 9 = -v. What is the third derivative of -8*t**o - 7*t**5 - 6*t**2 + 5*t**5 wrt t?\nAnswer: -600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 8*u**3 - 37 - 15 - 6*u**3 + 2*u**3. Let c(i) = -8*i**2. Calculate c(m(r)).\nAnswer: -1152*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**10\/(i\/i**(-4)))\/(i**(-3))**14 assuming i is positive.\nAnswer: i**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37157 divided by -220.\nAnswer: -37157\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1592.11ml?\nAnswer: 1.59211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101 and 404?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 28 = 4*n, -4*n + 5*x = 4 - 35. Suppose 2*z = 2*g, 2*g - 12 = g - 5*z. Find the second derivative of -n*m**2 - 2*m - m**3 + 4*m**g wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhslssjsssgshsschss. What is prob of sequence jgj?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxdddtjajdd. Give prob of picking 1 j, 1 t, 1 a, and 1 x.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 889 is divided by 887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 1, k: 2}. Give prob of picking 1 i and 1 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -1\/2*j**4 - 4*j + 1\/20*j**5 + 0 + 7\/6*j**3 - 2*j**2. Suppose -2*b + b + 5 = 0. Calculate q(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1725 + 1730. Let d = -8 - -4. What is the second biggest value in d, 3\/2, -0.1, l?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -2.3, -1\/3, -4\/1193?\nAnswer: -4\/1193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -p + 21329, 0 = -18*p + 20*p - 5*l - 42698. What are the prime factors of p?\nAnswer: 3, 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18750*-206\nAnswer: -3862500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/5 - 216*c**2\/5 - 7360*c.\nAnswer: 2*c*(c - 200)*(c + 92)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - j. Let f be a(-1). Suppose u + 1 = -0*u. Let t = u + f. Do t and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2250915 = -3*f, 5*v + 2349*f - 2354*f = 3751475. What is v rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 19 = 3*w - 15*m, -3*m = -3*w + 18. What is the nearest to 4 in -82, w, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 19 = -11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 777 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*h = 5, 5*f + h = -0*h - 7. Let q(b) = b - 1. Let i(x) = x + 6. Let y(w) = f*q(w) - i(w). Find the first derivative of y(o) wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 30.23. Let f = m - -0.22999288. What is f rounded to seven dps?\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1085673 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020020111 - -2010?\nAnswer: 1020022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - z = 4*j + 64, -149*j + 22 = -5*z + 182 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (31 + -7) - -34 - 18) + -4 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n - 10. Let u be m(5). Is 2\/51 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.229 - 3.771. Let g = 2 - 2.5. What is the third biggest value in j, -1\/5, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - m + m)*(5 - 1 - 1).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1 = -8. Suppose -3*b + 22 - 1 = 5*a, 0 = -4*b + 5*a - 7. Let v(d) = 3*d**b + d**2 - d**3 - 1 - d + 0*d**3. Determine v(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 366406890 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2432 by 8.\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 12. Let i be r(3). Let b be -3 - ((-2)\/i)\/(5\/(-55)). Find a, given that 2\/3*a**4 + 4\/3 - 2*a**2 + b*a - 2\/3*a**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 23*a**3 - 22*a**2 - 48*a + 206. Is s(35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/13 (b) 83 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 8\/735*n**7 - 1\/12*n**4 + 0*n + 0 - 1\/21*n**3 + 4*n**2 - 1\/30*n**5 - 2\/147*n**8 + 23\/420*n**6. What is w in t(w) = 0?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6 + 1)\/((-2)\/(-18)). Differentiate -26*d**4 + 15*d**4 - 11*d**4 - x*d**2 + 109 wrt d.\nAnswer: -88*d**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 18*j + 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/7 of a week in minutes?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 2884\/(-21))*177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2077, -5375, -10861, -18529, -28373?\nAnswer: -40387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26690650 and 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 5*s - 6 - 3, -16*v + 141 = 9*s - 10*s for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -582, -583, -582, -579, -574?\n\"Answer: m**2 - 4*m - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -971 - -70. Is j at most as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + -16.5. Let t = x - -65. Let i be 4 - ((-8)\/(-5))\/((-22)\/(-55)). Are i and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 8 + 2 = 0. Let u be (-10)\/(-3) + (-24)\/18. Let v(m) = m**2 + u - g - 2*m**2. Let d(k) = -2*k. Determine v(d(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c**3 - c**2 + 1. Let d(t) = 8*t**2 + 15*t - 14. Let k(j) = -5*j**2 - 8*j + 7. Let x(u) = -3*d(u) - 5*k(u). Let p be x(2). What is h(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -412ba (base 12) to base 10\nAnswer: -85102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3227 + 321. List the prime factors of a.\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7217 (base 9) to base 11\nAnswer: 3a71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006371613 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(55) - -5*sqrt(220)))\/((sqrt(100)\/sqrt(2)*-5)\/sqrt(10)).\nAnswer: 22*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 36. What is the remainder when 88 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 47, 67, 87, 107, 127?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175173687.\nAnswer: 37, 31761451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251567 is divided by 2074.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 91 = -2*o - 249, -185 = p - 4*o. What is p rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76.86 + 77. Let y = 0.08 - d. Which is the second biggest value? (a) 0.5 (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/9 + 4*p**3\/9 - 16*p**2\/3.\nAnswer: 2*p**2*(p - 4)*(p + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -285 divided by -57\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/4536 and -97\/3168.\nAnswer: 199584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*j**2 + 2*g**3*j + 927*g**3 - 18*g**2*j**2 + 51*g**2*j wrt g.\nAnswer: -12*j**2 + 12*j + 5562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -2 + (-5 - -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) -7148 (c) 4\/71 (d) 0.3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 34 = 6*h. Solve -3*m = h + 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14524 + 2215?\nAnswer: -12308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36426 = -31*o - 47*o. Is 468 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + 3. Let i(d) = -7*d**2 + 35*d + 13. Give -i(v) + 5*w(v).\nAnswer: -3*v**2 - 35*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(190)*-2 - (sqrt(190) + (sqrt(190) - -5*sqrt(190)*1)))\/(sqrt(1210)*2 - sqrt(1210) - sqrt(10) - sqrt(40)*-6)*1.\nAnswer: -3*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.0418.\nAnswer: 0.1672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*g + 3*a, -5*a = g. Let c(k) = 3*k + 66. Let v be c(-20). Suppose g = 2*u - v - 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1634 is divided by 165?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 9:26 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 9. Suppose 2 = 2*q + 22. Let l = q + z. Solve -40 + 8 = -5*k + 3*g, 3*g = -k - l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.2 (b) 0.11389 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 16*f + 71010 - 71010. Let k(l) = 106*l**2. Calculate r(k(s)).\nAnswer: -1484*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.384276 hours in microseconds?\nAnswer: 26583393600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -12, 9.\nAnswer: -12, -8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1513, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -150 times 0.7\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 8*t**4\/3 + 9410*t**3\/3 + 2671978*t**2\/3 - 56365088*t\/3 + 13588952 = 0.\nAnswer: -598, 3\/4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Product of 8045.51 and 82.\nAnswer: 659731.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + h. Determine t(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26540 + -14863. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 15*l**2 - 16*l - 8. What is i(-14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -26 + -15 + (-32 - -69)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m. Let a(p) = 100*p**2 + p + 5880. Give l(a(t)).\nAnswer: 500*t**2 + 5*t + 29400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0028045 rounded to five dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 321, 1, -38, -11, 4, 5 in decreasing order.\nAnswer: 321, 5, 4, 1, -11, -17, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -60\/11, 0.23, -0.2, -1\/3 in ascending order.\nAnswer: -60\/11, -0.5, -1\/3, -0.2, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 30 + -15 + 57 + -72?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12714334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a factor of 109367664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 22 = -2. Calculate the remainder when 37 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*n**2 - 12*n**2 + 5*n**2)*(0 - 2*n + 0) + 2*n**3 - 5*n + 5*n)*(2*n**2 - 3 + 3).\nAnswer: 40*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 4*g - 11*g. Suppose -6*x - 30 = -g*x. Sort x, -1, -2\/3, -3 in descending order.\nAnswer: x, -2\/3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*l**6 + l**5 - 36*l**4 - 20342*l**2?\nAnswer: 5280*l**3 + 60*l**2 - 864*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.16.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/5)\/(4\/(-10)). What is the units digit of (1 + d)\/(2\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**6\/120 - p**5\/12 + p**4\/12 + 2*p**3\/3 - 34*p**2 + 120. Let m(y) be the second derivative of u(y). What is m(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19679989 is divided by 1231.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 792616 to the nearest 10000.\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -101*i**7\/42 + 52*i**3\/3 - 32*i + 70. Let c(k) be the first derivative of b(k). Find the second derivative of c(u) wrt u.\nAnswer: -2020*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11445 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -947*a - 2817. Determine p(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 - -224. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(512) - 2*sqrt(512)))**2 + sqrt(65)\/(sqrt(405) - ((sqrt(405) - (sqrt(405)*1 + sqrt(405))) + sqrt(405))).\nAnswer: 13\/64 + sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -23. Let y = f - 23. Let j be 0*(-3 + 3 - y). Solve -5*n - 25 = j, -o - n = 2*o + 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 (base 4) in base 12?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 y when four letters picked without replacement from {p: 6, y: 4}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + w - 26 = -v, 0 = 12*v + 581*w - 582*w + 312 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ithpi. Give prob of sequence pi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(51) + (sqrt(3264)*-1 - sqrt(51)))\/sqrt(3) + 0)**2.\nAnswer: 27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*((2 + sqrt(208))**2 + 1 + 4 - ((sqrt(208) - (sqrt(208) + 0) - sqrt(208)) + -5)*5).\nAnswer: -1936 - 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/4)\/b**15)\/(b\/(b*b\/((b**(-5\/2)\/b)\/b))*b*b\/b**(4\/15)) assuming b is positive.\nAnswer: b**(-719\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203.3 - -609898.\nAnswer: 610101.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/4)\/((-2)\/4). Let t(i) be the first derivative of i**3\/3 - 4*i**2 + 2*i + 4. What is t(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 19. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 4 + (-2 - 1). Let m = r - -6. Determine s so that 4\/5*s**m + 4\/5*s**2 + 2\/5 - 6\/5*s + 2\/5*s**5 - 6\/5*s**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11408?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 5*i - 179, 0 = -3*c - 0*c + i + 137. Let g = -67 + 21. Let t = c + g. Solve 2*k - 3*k - 4 = t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/64*4 + (-34)\/(-84)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108*l - 56*l - 1030*l**2 - 52*l + 1578*l**3 + 5939*l**2 wrt l?\nAnswer: 9468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (693\/(-176))\/((-112)\/64)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/((w\/w**18)\/w)*w)*w**4\/w)**(1\/12))**(-13) assuming w is positive.\nAnswer: w**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1390524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, c: 3}. What is prob of picking 3 c?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**2 + 192 - 192 + 3*l**2 - 346*l**3 - 73*l wrt l.\nAnswer: -2076*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = j - 12, 5*p = 16 + 9. Let q(z) = -z**3 + z**2 + z - 1. Let w be q(0). What is the third biggest value in 4\/5, w, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + ((sqrt(63))**2 - sqrt(7)) - sqrt(252)*2).\nAnswer: -13*sqrt(7) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (7124\/112)\/(-13))*(-63)\/6.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7029 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 + -72. Suppose -l*u + 3294 = -19*u. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 659768 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2236\/5 + -447. Which is the second biggest value? (a) m (b) 0.8 (c) 0.5 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y. Let q be f(-4). Let g = -4 + 7. Suppose 0 = 5*w - g*w, -4*j = 4*w + q. Are 1 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880787 is divided by 880752?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1449623 and 83\/464.\nAnswer: 23193968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -2 + k + 2\/3*k**3 - 1\/2*k**2. Let z be j(1). Solve 4*x + 19 = y, z*x + 6 = -0*y + 4*y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1 - 1 - 8*j**2. Let l(a) be the third derivative of -a**4\/24 + 1396*a**2. Determine i(l(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1593000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 72981 to the power of 1\/2, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6408.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777915 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-153)\/(-102)*1\/(-2)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6*z**2. Let v(g) be the first derivative of 0*g + 3 - 1\/2*g**2. What is u(v(k))?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42524 (base 6) to base 13.\nAnswer: -2851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 330 and 312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/12765 and 11\/242730?\nAnswer: 206563230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 76*d - 10343. Give r(148).\nAnswer: 905","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 45.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.006 and -0.01.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -327522*m**2. Let u(a) = 25*a**2. What is u(r(x))?\nAnswer: 2681766512100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 + 67. What is the greatest common divisor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 1. Let a(g) = -2*g + 5. Let s be a(2). Determine h(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbggazn. What is prob of sequence bg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*t**3 - 29*t**2 + 2 - 6*t**2 - t**2 + 0 + 60*t as g*t**3 + p + n*t**2 + x*t and give x.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120445*h**5 - 2*h**4 - 410*h**2 - 187*h wrt h?\nAnswer: -7226700*h**2 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 + 8*h - 8. Let i(j) = -3*j**2 - 7*j + 7. Calculate -6*i(a) - 5*r(a).\nAnswer: -2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g - 2541. List the prime factors of g.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 1:59 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 364731167 to the power of 1\/3, to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in 2, 0.029, -8, -2\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2455 (b) -0.01 (c) -3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818212979 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microsecond in nanoseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**14)\/g*g\/(g\/(g*g**(-3\/7)\/g*g))*g*g**3*g*g*g*g*g**(-21)*g assuming g is positive.\nAnswer: g**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18, -87, -208, -387, -630, -943, -1332, -1803?\n\"Answer: -l**3 - 20*l**2 - 2*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**3 + 0*o**3 + o**3 + (8*o - 12*o + 6*o)*(-o**2 + 0*o**2 + 2*o**2))*(0*o + 0*o - 2*o) to the form f*o**4 + p + k*o**2 + s*o**3 + b*o and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1537*q = -1867*q + 2970 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = z. Suppose 0*u = -5*u + 110. Let g = u + z. Solve -g = -0*m + 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6088 a factor of 568747048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/2662812 and -89\/52212?\nAnswer: 2662812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5274 - -5286. What is the least common multiple of b and 1394?\nAnswer: 8364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, w: 1, p: 4, c: 1, k: 1}. What is prob of sequence wk?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 28 + 71. Suppose -8*z = 44*z - 468. Calculate the greatest common divisor of z and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 76 = 2*z, 0 = -5*i + 2*z + 72 + 22. Calculate the remainder when 68 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112465512 (base 7) in base 6?\nAnswer: 404013553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*sqrt(4032)*3 + sqrt(4032))**2.\nAnswer: -4128768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -17.2*285243.1\nAnswer: -4906181.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9885 - 9423 = -424*z - 5316 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 4*i**2 + i + 2. Let q be o(-4). Let c be q - (-1)\/(3\/(-9)). Let l(w) = w**2 + 6*w + 7. What is l(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 11*o**2 + 3. Let r be i(-11). Solve -m + 2*m + r = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t + 160 - 1912. Suppose -70 = h - t. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -b + 30. Suppose 3*d - 3*u - 18 + 3 = 0, 3*d - b*u = 17. Solve t + 3 - d = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 11*z**2 - 11*z + 8. Let m(s) = 4*s**2 - 4*s + 3. Let x(c) = 3*k(c) - 8*m(c). Determine x(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 2*w + 12. Let v be (-1)\/(-2)*(-4 + 4). List the prime factors of n(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/5 - 125469*q**2 + 5018904*q\/5 - 10037904\/5.\nAnswer: -3*(q - 4)**2*(q + 209123)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 6*p**2 + 7*p + 6. Let u(j) = 5*j - 3. Let s be u(2). What is the units digit of g(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925 + 973 = -12*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 11:31 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/7)\/a)\/a**(1\/27) assuming a is positive.\nAnswer: a**(-331\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 + 26551*c + 1966143\/2.\nAnswer: -(c - 53139)*(c + 37)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 1, 98, -26, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1949, -1608, -1259, -908, -561, -224, 97?\n\"Answer: -h**3 + 10*h**2 + 318*h - 2276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 137\/16, 2\/5, 3.4, 2?\nAnswer: 137\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -9*v**5\/5 - 10*v**3\/3 + 2*v**2 + 4772*v - 4624. Differentiate o(f) with respect to f.\nAnswer: -36*f**3 - 20*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-6))\/((-2490)\/55278).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864.89 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(-4 + ((sqrt(1404)*-2 - sqrt(1404))\/(2*sqrt(363)) - (sqrt(13)*2*-5 - -5*(sqrt(13)*-1 + sqrt(13) + sqrt(13))))**2).\nAnswer: -134636\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from hhydii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 922926.5499834.\nAnswer: 922928.5499834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**6\/1080 - h**5\/360 + h**3\/6 - h. Let u(v) be the second derivative of k(v). Let u(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + y - 2. Calculate d(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-2 + 2 - r) + 28*r + 25*r - 21*r.\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 5:51 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5074, 2\/9, 0.067, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*j - 7, -3*m = 2*j - 1932. Suppose -36 = 5*v - m. Does 22 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-40))\/(3\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1359 divide 2177743140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4) + (-18)\/(-12). Let v be (-135)\/(3\/o)*(-3)\/5. Suppose -5*j - v = -5*z + 3, -5*z = -3*j - 28. Solve w = 2*w - z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 - 5. Let n(o) = 9 - 7 + 0 + o**2. Calculate -2*d(t) - 5*n(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -6*v - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 141 and -26\/41 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -788 minus 0.06?\nAnswer: -788.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**3 - 62 + 75 - 3*i**3 wrt i?\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3*9\/(-81))\/(7\/(-315)). Solve -367 = -d*q - 412 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {a: 3, q: 3, g: 9, x: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 6, -0.08, 3, 54.85?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 60*y**2 - 1\/20*y**6 + 0*y + 7\/6*y**3 + 5\/12*y**4 - 11\/60*y**5 + 0. What is r in x(r) = 0?\nAnswer: -7\/3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 99\/(-15) + 7 - (-598)\/(-845)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 1\/2*d**2 + 4 + 0*d. Let x(q) = -3*q. Determine x(a(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2045)\/(-818))\/((-20)\/680)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 572003779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415300661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*j - 14, -j - 8 + 2 = -i. Let s = 1.40364 - 1.90364. What is the nearest to i in -2\/11, 1\/4, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1589378*o - 1589104*o + 6850 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f - 6 + 3 + 8 - 3*f. Let x(r) = -r**3 - 27*r**2 + 27*r - 28. Let d be x(-28). What is u(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 298\/5, 28, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26385992.\nAnswer: 2, 757, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199633?\nAnswer: 7, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4 - 5700*v**3 - 2436750*v**2 - 462982500*v - 32987503125.\nAnswer: -5*(v + 285)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 11, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 37, 43, 49?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 2496*m - 1557504.\nAnswer: -(m - 1248)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/25, -1, -2\/17, -105, -13\/3 in ascending order.\nAnswer: -105, -13\/3, -1, -3\/25, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 6 - 5)*(-2 + 3 - 18*j**5 + 20*j**5).\nAnswer: -12*j**5 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 + 124*x**2 + 15*x**2.\nAnswer: 139*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -103707 (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.04, 4, 116\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*d + 127. Let q be (d - (-2)\/(-1))*-1. Suppose -22 = -6*c + 2*c + j, -q = -4*c + 5*j. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2553 is divided by 91.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + f**2 - 3*f + 2. Let v be b(2). Suppose 2*l + 2 = n, 4*l + 0*l = 4*n - v. Suppose -n*i + 0*i + a = -52, -5*i - a = -144. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -294, 2, -3, -4, 5, -6, 19 in decreasing order.\nAnswer: 19, 5, 2, -3, -4, -6, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a factor of 688061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 4*g - 11. Let u be d(8). Let n = u - -905\/21. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1659517 and 1805?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5165)\/35 - 6\/14. Let o be a\/(-6) - 4\/6. Calculate the greatest common factor of 16 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -192, -2 in ascending order.\nAnswer: -192, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103737947482 + -5.\nAnswer: 103737947477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/24 and -25\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25244*b**4 + 28850*b.\nAnswer: -302928*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 583055 and 12760.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12887001943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 + 160. Suppose 6*q + 7*q = 221. Calculate the remainder when h is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 254395693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1987 + 1993 - (-2 - (1 + 4 + 14)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 4. Let a(h) = 2*h. What are the prime factors of a(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1851 = -j + 1856. Let m be (-1)\/(-3)*(33 + 0). Is j >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 659.8297 litres?\nAnswer: 659829.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + s + 4*s + 25, 2*s - 10 = 0. Let w be (12\/(-10))\/((-4)\/(-35)). Let l = h - w. Which is bigger: l or -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/108*-8 - 215\/1575 and 209\/210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*j - 6*j + 25 - 4*j + j**2 - j as f + i*j + s*j**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3)*k)**(1\/2))**(-8\/3)*((k\/k**(1\/4)*k)\/k*((k**3\/k)\/k)\/k)\/(k**(1\/4))**(11\/9) assuming k is positive.\nAnswer: k**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3871)\/392 - (-10)\/1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdds. What is prob of picking 2 d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 17*j + 87. Let b = -262 + 283. Let k be f(b). Solve 8*c + 9 = k*c + 3*d, c + 5*d + 13 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/691, 0.5, 174.\nAnswer: -2\/691, 0.5, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/2 of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 399643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 1\/9*u**3 - 8*u + 0*u**2 - 1\/40*u**5 + 1 + 1\/18*u**4. Factor r(q).\nAnswer: -q*(q - 2)*(3*q + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 + 170. Let j be (10\/60*2)\/((-1)\/(-153)). Calculate the highest common factor of j and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -12354?\nAnswer: -12355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2 + 105*r + 17. Calculate t(21).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(405) - 1*(sqrt(405) + sqrt(405) + sqrt(405)*-1 + sqrt(405)))\/sqrt(9))\/(sqrt(1089)*-1*5 - sqrt(1089)))*4 + 1.\nAnswer: 2*sqrt(5)\/33 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8272, -32796, -73710, -131014, -204708, -294792, -401266?\n\"Answer: -8195*k**2 + 61*k - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + y + y**4 - 19*y**2 - 25*y**2 + 46*y**2 in the form u + w*y**3 + b*y**4 + g*y**2 + o*y and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-4))\/(2\/14). Is r\/(-28) - (-55)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 4*c - 56. Suppose 2*n + 3*b - 8 = -0*b, -5*b = -2*n + 8. What is the smallest common multiple of c and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 5 + -2*1. Let h(k) = k**3 + 4*k**2 - k + 9. Let q be h(r). Suppose -q*x + 1231 + 596 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1566)\/(-4176)*(-8)\/18*(-4)\/38.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 65022 (base 8) to base 2\nAnswer: 110101000010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**4\/78 - 5*i**3\/39 - 6*i**2\/13 - 15*i. Factor z(q).\nAnswer: 2*(q - 6)*(q + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27080.52kg to micrograms.\nAnswer: 27080520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -3\/4, 6, 16, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbhdaaddhw. Give prob of picking 1 a, 2 h, and 1 b.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - ((1*sqrt(114) - sqrt(114))*6 + sqrt(114)) - sqrt(114) - sqrt(114))\/(sqrt(24)*5)*1*-1.\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -962, -767, -360, 307, 1282, 2613?\nAnswer: 4348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 643 - 643 = 2*i. Let j be (i\/1)\/(31 + -32). Factor -2\/3*u + 1\/3*u**2 + j.\nAnswer: u*(u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 61826865464.\nAnswer: -61826865463.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37779834.8 rounded to the nearest 1000000?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -44, -93, -180, -317, -516, -789?\nAnswer: -1148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -58113\nAnswer: 1162.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*i - 2 = 34, 0 = 5*z - 3*i - 70. Let n be 2\/3 + (-8)\/(-6). Let h = z - n. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r + 259 = 179*r - 131 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133 and 21?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/3 - 65*i**3\/3 - 224*i**2 - 636*i.\nAnswer: -i*(i + 6)**2*(i + 53)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (25\/(-10))\/5*10. Let w(f) be the first derivative of 5*f + 1 - 3\/2*f**2 + 4\/3*f**3 + 1\/4*f**4. Give w(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22\/1083 or 0?\nAnswer: 22\/1083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4732200 to the power of 1\/2, to the nearest integer?\nAnswer: 2175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from glllllllllllllllllll.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, -3, -9 in decreasing order.\nAnswer: -3, -5, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - 9*g - 4. Let v(n) = 2*n**2 - 14*n - 9. Let s(u) = -4*u**2 + 29*u + 19. Let c(y) = 6*s(y) + 13*v(y). Give 6*c(a) - 5*z(a).\nAnswer: 2*a**2 - 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 5:58 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 385.5509 millilitres in litres?\nAnswer: 0.3855509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -54. Let s(i) = i + 4. Let c be s(0). Let o = -69 + 64. What is the second smallest value in a, o, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 11:56 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2 - (-1 - (0 + 4)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3918331 is divided by 443.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 235045 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 581299361?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4937554831 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2439 and 2981.\nAnswer: 26829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 44*s + 47. What is the smallest common multiple of y(45) and 394?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 4*t - 12, 0 = -3*k + t - 59 + 58 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*1\/5 + (-10 - -11)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4330 (base 5) to base 11.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19657, 39318, 58979, 78640, 98301?\n\"Answer: 19661*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - s + 11. Let c be (2\/(-6) + 0)*15. Let j be p(c). Let m = 27 + j. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -93, -154, -235, -342, -481, -658, -879?\nAnswer: -1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204594.\nAnswer: 2, 3, 13, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 4*x**2 + x - 3. Suppose 3*n + 10 - 1 = 0. Let h be o(n). Suppose 2*u - 3*w - 21 = 0, -2*w = 5*u - 0*u - 5. Solve -h*v + u = -6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 38*p**2 - 78*p + 135. Let t be a(34). Calculate the highest common divisor of 86 and t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/3)\/((-16)\/(-48)). What is a in -w - 10*a + a**2 - 35 + 40 = 0?\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-320000025)\/(-10) - 2\/4. Suppose 0*a = 3*a - 6. Suppose -a*c - h = -4*i, -7999995 = -i - 8*c + 3*c. What is i rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) - (-46)\/(-6). Let t be (30\/(-12))\/(-5) - ((-105)\/18)\/(-7). Which is the nearest to t? (a) 5 (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x**3 + 3*x. Let d be m(-3). Let l(y) = -180 + d + 2*y. Let p(v) = -v**2 + 51. Give l(p(o)).\nAnswer: -2*o**2 + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*v**3*z**2 - 112*b*v**3 + b*v**2*z**2 - v**3*z**3 + 6*v**2*z**3 + 101*v**2*z**2 wrt v.\nAnswer: 6*b*z**2 - 672*b - 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -357 - 3?\nAnswer: -35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-7)*n*n\/(n\/((n\/((n*n**(-1))\/n)*n*n)\/n)*n))\/((((n*n**(6\/7)*n)\/n)\/n)\/n)**(-2) assuming n is positive.\nAnswer: n**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 4:39 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, 4, 1, 5\/12 in increasing order.\nAnswer: -2\/23, 5\/12, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -109 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -34*f + 21. Let l(u) be the second derivative of 0*u**3 + 0 - 1\/7*u**f + 2*u + 1\/42*u**4. Let l(g) = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67558*w - 563*w**3 - 67558*w.\nAnswer: -563*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*w**4\/4 + 703419*w**3 + 47131081839*w**2\/2 + 249039512523*w - 444238558731\/4 = 0. What is w?\nAnswer: -66987, -11, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = k + 4, 5*l - 3*k = 77. Suppose -31 = -4*z - 5*s, -3*s = -1 + l. Let y be 6\/z - (-180591)\/21. What is y rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1107101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 7:52 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**3\/3 - o**2\/2 - o - 35. Let z(x) = -2*x**2 + 4*x + 4. Give -4*u(n) - z(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 + -1)\/(3 + -2). Suppose x*t - 2*t - 69 = 0. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -21*r**3 - 27*r**2 + r - 3. Let l(n) = 17*n**3 + 28*n**2 - n + 3. Calculate -5*l(g) - 4*u(g).\nAnswer: -g**3 - 32*g**2 + g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*s - 1. Let i = s - -3. Suppose 3*f + 24 = 93. Solve 13 = q - 3*g, 5*q = 3*g - i*g + f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31540 and 665.\nAnswer: 220780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7525 divided by -5\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**3\/3 - 5*p**2\/2 - 9*p + 1. Let h be u(7). Solve -k + 3*k + w = 0, k + h = -3*w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362*p = 363*p + 2*r - 80, -3*r = 3*p - 252. Calculate the remainder when 1591 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - -5*(sqrt(1539) + (sqrt(1539) - (0 + sqrt(1539))) + sqrt(1539) - sqrt(1539))**2) + 5.\nAnswer: 9*sqrt(19) + 7700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 6*t**2 - 4*t - 5. Suppose p + 10 = -5*c, -p - 2*p = -5*c + 10. Let r be 1\/(c + (-18)\/(-15)). Give o(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**7\/30 + 1303*o**6\/60 + 5394*o**5 + 1679828*o**4\/3 + 1906624*o**3\/3 - 119*o**2 - 2. Let d(h) = 0. What is h?\nAnswer: -124, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-1200)*66*10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 37886 - 26176. List the prime factors of k.\nAnswer: 2, 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((232\/(-48))\/29)\/(350\/28))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19676882 is divided by 9051?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 16. Give t(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -2) + 4 + -17.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 m, and 1 b when four letters picked without replacement from mfbnffmf?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*n - 185*n + 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3928577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-6 + 2 + 2). Suppose -74 = -5*p + p - 5*f, -74 = -c*p + 3*f. Let b(h) = 7*h**3 + 2*h - 2. Calculate the remainder when p is divided by b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*o - 2987, -169*o + 166*o = -15. What are the prime factors of l?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**2. Let o(v) = -248349*v + 820. Calculate o(b(n)).\nAnswer: 993396*n**2 + 820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(3))\/sqrt(7) - sqrt(6)\/(-2*sqrt(3))) + ((sqrt(72) + 1)*-1 + sqrt(72))**2.\nAnswer: 1 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 220?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1195*s - 6773 = 17890 - 127433 for s.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(704) - -4*sqrt(704) - sqrt(704)) + sqrt(704) + -3 + sqrt(704))*-2 + (sqrt(704)*5 - sqrt(704)) + 1 + -1)*5)**2.\nAnswer: -19200*sqrt(11) + 1127300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 9:39 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27949 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41631345557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1. Suppose 4*j = 3*q + 19, -8*q + 4*q = -2*j + 12. Let c(u) = 13*u**2 + 2*u + 5. Determine q*c(d) - 5*o(d).\nAnswer: -13*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (164 - (-7 - -1)) + 0 is divided by 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o - 14. Let v(i) = i + 1. Let b be 8\/14 - 192\/42. Let y(j) = b*v(j) - p(j). What is the first derivative of y(k) wrt k?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*v = 3*c + 4, c - 4*v = 14. Suppose 0*k + 3*b + c = 3*k, -5*b + 20 = 0. Calculate the remainder when -6*((-20)\/6)\/2 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15255 is divided by 492.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*m + 110*m + 131*m + 21*m**2 - 499*m + 126*m.\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = b + 40881, f = -0*f - 4*b + 10233. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -3*k - 17, -5*u + 2*u - 24 = 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 8*i**2 - 1 + 15*i**2 + 18 to j*i**2 + f*i + a and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 204 divided by -250124\nAnswer: -51\/62531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8162 divided by -30065\nAnswer: -1166\/4295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w**3 + 4*w**2 - 5. Let j(z) = -22*z**3 + 14*z**2 + z - 16. Calculate -7*g(i) + 2*j(i).\nAnswer: 5*i**3 + 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 159594 rounded to the nearest one thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9787.297 litres to millilitres.\nAnswer: 9787297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p - 34*p**2 + 441*p**2 + 165*p**2 - 49*p**2 to y*p**2 + z*p + w and give y.\nAnswer: 523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, l: 2, x: 2, v: 7, u: 7}. Give prob of picking 1 c, 1 l, and 2 v.\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -66*r - 1124. Give j(-23).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -10049111.\nAnswer: -2009822.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 + 33*a**2 + 3*a + 13. Let m(f) = f**3 - 34*f**2 - 2*f - 14. Let b(j) = -2*l(j) - 3*m(j). Differentiate b(u) wrt u.\nAnswer: 3*u**2 + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 813, -1 in ascending order.\nAnswer: -4, -1, 813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2444993?\nAnswer: 569, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times -533\nAnswer: 111.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 12. Suppose 0 = 4*x + 2*g - 10, -4*g = 2*x + g - 25. Let f = -1.5 + 2. Which is the closest to x? (a) -1 (b) d (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.24 and 14.80329.\nAnswer: 3.5527896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 x when three letters picked without replacement from {f: 3, n: 1, p: 3, x: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8651 and 48.\nAnswer: 415248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15391312*u**3 - 239*u**2 - 44 wrt u.\nAnswer: 92347872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104989587 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: List the prime factors of 4087.\nAnswer: 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8052870 and 558.\nAnswer: 24158610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4 = -3*s. Let v be 1 - (-1)\/(2\/4). Let z = v + s. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 41. Let s = -514 + 514.4. What is the nearest to 2 in b, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 171 + -52. Let r = -116 + m. Let y = 13 + -12. Put -2\/23, r, -0.5, y in descending order.\nAnswer: r, y, -2\/23, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*k + 364, -3*p + 2*k + 252 = -k. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19743*k - 39394*k - 1 + 19654*k.\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 9*o**3 - 61*o**2 - 56*o. Let q(l) = 13*l**3 - 92*l**2 - 84*l. Let s(d) = -5*q(d) + 7*v(d). Find the second derivative of s(w) wrt w.\nAnswer: -12*w + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + 28*y - 42. Let f be d(12). Calculate the greatest common divisor of 246 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, -11, -55, -133, -251?\n\"Answer: -i**3 - 8*i**2 + 15*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 213 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*b - 934 - 2389 + b + b**3 + b**3 - 69*b**2 - 1897 wrt b.\nAnswer: 6*b**2 - 138*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0892216 + -1.3107784. Let m = 0.6 - 2.6. What is the nearest to -0.1 in -0.1, -5, m, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s. Let t(q) = 39 + 36 - 75 + 2*q. Give t(v(c)).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.39*-0.09.\nAnswer: -0.0351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -113*d - 342. Let v be r(-3). Sort -127, -2, v.\nAnswer: -127, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdrd when four letters picked without replacement from {i: 3, j: 1, e: 1, a: 4, d: 2, r: 4}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(1224)*4)\/(sqrt(242)*1 + (sqrt(16)\/sqrt(4))\/sqrt(2)).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3 + 6 = 0. Let z be -3 + 5*(-1)\/l. Let p(i) = i**2 + 2. Calculate p(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 200 = 25*g. Suppose -5*c + 3*c = 2*q, -3*c = -5*q + 40. Let a be (g\/c)\/((-6)\/(-15)). Sort a, 2, -3 in decreasing order.\nAnswer: 2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121616992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 843823949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jermejemumae. Give prob of sequence mmjm.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**3 - 1019*k**2 - 351*k + 3854. What is a(340)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 58 = 6*y. Suppose y*v - 145 = 62. Let k = 1 - -8. Calculate the greatest common factor of k and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4 - 20\/(-8). Let z = -15 + 20. Suppose 0 = -4*p + z*c + 33, -2*p + 2*c = 2*p - 18. Solve -t*k = -4*k - p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.54 take away 316?\nAnswer: -316.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -63bd (base 15) to base 14\nAnswer: -7995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5026 is divided by 1354?\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/5*(-5)\/(-1). Let w be (110\/t)\/(0 - 14). Let h = 9\/4 - w. What is the nearest to h in 1\/6, -2\/3, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2*u = -12, 2*o + 4*u = 3*o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**4\/11 - 144*k**3\/11 + 1008*k**2\/11 + 5696*k\/11 + 6240\/11 = 0.\nAnswer: -78, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w = -17*w. Suppose 4*g - 44 - 228 = w. Suppose -3*i - g = -7*i. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7 - 4 + b**2 - 11 + b + 7*b. Determine w(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286159 is divided by 71528.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1342, 1336, 1320, 1288, 1234?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 528970962 to the nearest integer?\nAnswer: 22999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 30. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 103?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2)\/(3\/(-78)). Let j = 9 - w. Which is bigger: j or -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5372*b**2*m + 1885*b**2 - 65541*b*m - 115*m wrt b?\nAnswer: 10744*m + 3770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 8:55 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*l**6 - 14*l**4 - 9975*l**3 - 5*l**2 + 15299544 wrt l.\nAnswer: -4920*l**3 - 336*l - 59850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3401, 0.18, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = 7*u - 119 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1342.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 448 - -180. Let t be (-8)\/2 + 6 + a. Suppose -5*b - 156 = -p, -5*b + t = -p + 6*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0.02. Let f = n + -2.08. Round f to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.28448.\nAnswer: -1.4224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w + 842. Let x(r) = 46*r. Calculate x(a(u)).\nAnswer: 92*u + 38732","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20951972?\nAnswer: 2, 67, 78179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppptpptp. Give prob of picking 2 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Suppose z - 5*t + 15 - 5 = 0, -74 = 4*z - y*t. List the prime factors of 4\/z - 82\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -16*c - 18. Let l(b) = 5*b - 1. Determine 4*l(a) + p(a).\nAnswer: 4*a - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(11) - (sqrt(275) - (-4*sqrt(275))**2))*-6.\nAnswer: -26400 + 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 26 + 5*k)*(-4 - 5 + 1 - 1) as v*k + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 787131?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) - (-9)\/2. Suppose -l = f*i + 20504, -4*i + 3*i - 5*l - 4120 = 0. Round i to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -3 (b) -1 (c) -0.5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-8 - (396\/(-54) + 4\/(-42))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 137, 132?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/126 and -14\/171.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-5 + (-1*(2 + sqrt(243) + -4))**2)*-3)*3.\nAnswer: -2166 + 324*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.103 and -469?\nAnswer: -48.307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/((-99)\/(-11))*(-11)\/110?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -40242 divided by 19\nAnswer: -2118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 685 = -609. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15002 >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12601 is divided by 4197?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 8:42 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15570*h**3 + 4084 wrt h?\nAnswer: -46710*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*z + 106*z - 100 = 14*j, 2*j - 4*z + z + 28 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*(-105)\/1960)\/((-3)\/(-16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1992728197311 take away 0.018?\nAnswer: -1992728197311.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 10:29 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-108))\/((-12)\/(-18))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.31*0.10903\nAnswer: 0.0337993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, -0.3, 0.3, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvttvttttttt. What is prob of sequence ttvt?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -z - 5*t, -2*z + 3*t + 6 = 3*z. Suppose 3*b - 252 = -z*l, -9*b = -12*b + 3*l + 222. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6) + (-1 - (-30)\/24))*(-44720)\/(-645)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119255 and 9095?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56e56 (base 15) to base 7.\nAnswer: 2231301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 a factor of 289624230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*t + 2*t**2 - 12*t - 19*t - 13*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*r**2 + 0 + 3\/4*r**3 + 0*r.\nAnswer: 3*r**2*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129 + (179 - 109 - 149).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.52 (c) 0.056 (d) 0.055\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j - 28. Let w be k(8). Solve o - 16 = -w*z, 0*o = -5*z + o + 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -723.262 * 4.3\nAnswer: -3110.0266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z. Let o(k) be the first derivative of 319*k**2\/2 - 436. Give o(r(m)).\nAnswer: 319*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 - 9*g + 10. Let k(m) = -5*m**2 + 10*m - 11. Let s(v) = 6*h(v) + 5*k(v). Let q be s(-6). Let d = q + 20. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 4*s + 8 - 1\/3*s**2 - 2\/9*s**3. Factor o(f).\nAnswer: -2*(f - 2)*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.522761 rounded to 2 decimal places?\nAnswer: -2.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1068*w - 5019 = 8627 + 24802 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 11:21 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.58307948 and 0.1?\nAnswer: 0.158307948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. Let u = y + -6. Is -2*u\/((-16)\/(-668)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 9. Sort 1\/3, y, 5\/4.\nAnswer: y, 1\/3, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**3 + 5*f - 9. Let t(r) = -r**3 + 3*r - 5. What is 3*n(x) - 5*t(x)?\nAnswer: -4*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 10*z**3 + 2*z**2 - 6*z + 2. Suppose -6*r - 12 = -8*r + 4*c, 5*c = -3*r - 4. Is f(r) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 219 - -13. What are the prime factors of h?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 110*b**2 - 17*b + 34. Let p be n(3). Suppose 132 = 21*c - 15. What is the highest common divisor of c and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.0794.\nAnswer: -0.3176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 4, k: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 196 = -44. What is the lowest common multiple of z and 94?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 621*f - 414. Is 69 a factor of m(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1201 - -22?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203799969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1050)\/56)\/(-5)*1\/(-10)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 39, -0.3, -1, -0.1, 2\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8) - ((-39)\/(-4) + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5 + 2 + 0 + 5 + y**2. Let j(m) = -m**3 + 6*m**2. Let s be j(6). Is d(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 15144.\nAnswer: 75720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*3\/(-3)*7\/(-49)*5292\/(-168).\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2 + 7654*x - 7653 = 0.\nAnswer: 1, 7653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2))\/g**(1\/6)*g**6\/(g\/g**(-2\/5)) assuming g is positive.\nAnswer: g**(223\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (5 - 6) - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0183303 rounded to five decimal places?\nAnswer: -0.01833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-178)\/89)\/(((-2)\/(-2))\/(-1051)). Let r = w + -1444. List the prime factors of r.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.120446 to 4 dps.\nAnswer: 0.1204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66645 and 1125?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -6*l - 18. What is the remainder when 58 is divided by 16\/40 - 296\/l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/5 - 6*u**2\/5 - 18*u\/5 - 2.\nAnswer: 2*(u - 5)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 2 - 48\/(-5 + -1). Let d be 576\/(-3410) + (y - 378\/99). Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 28 = 26. Let r = n + -18. Let m = 2 - -7. What is the lowest common multiple of r and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 31. Which is the third biggest value? (a) -2 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/5 - 0 - (-109538)\/(-390). Let x = f - -285. Factor -22\/3*z**2 + 4\/3 - 8\/3*z**3 - x*z.\nAnswer: -2*(z + 1)*(z + 2)*(4*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/(-64) + (89\/2 - 1). Solve 5*k = -58 + c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 12 = 2*x - 0*x, 0 = -4*x - 3*d - 22 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 0*z**2 + 4*z**2)*(z**2 + 3*z**2 - 2*z**2) + 2*z**4 + z - z - 19*z**4 - 11*z**4 - 82*z**4.\nAnswer: -108*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 5*x + 20. Let y be ((-1)\/x)\/((36\/32)\/9). Determine w, given that -5*w**5 - 50*w**2 + 125*w + 0*w**4 + 59*w**y - 120*w**3 - 9*w**4 = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 12:34 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 2\/9, 1080\/11, 5?\nAnswer: 1080\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 - 4*k - 3. Let b(a) = -4*a**2 - 3*a - 4. Let s(h) = -2*b(h) + 3*p(h). Calculate the smallest common multiple of s(-5) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107.89 - -1.11. Let p = -11678481694 - -11678481585.00000122. Let m = p + u. What is m rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8099 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -501 - -2?\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2659499336?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 375 - 385. Which is the third smallest value? (a) -46 (b) -0.88 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1100)\/2310*(-18)\/10)\/6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g - 19. Let b(c) = -2*c - 13. Let k(h) = 8*b(h) - 5*f(h). Let w be k(-11). Find the third derivative of 2*o**w - 139*o + 139*o + 6*o**6 wrt o.\nAnswer: 720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 7*l - 6. Let r be c(-6). Let w = r - -5. Let h be (w - -1)\/3 - -4. What is the closest to 2 in -1, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3150010 - 4?\nAnswer: -3150014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.531 - 56.331. What is q rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 28*g + 131. Let w be i(37). Which is greater: w or -811\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -364 + 546. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9247066 milligrams to kilograms.\nAnswer: 0.0000009247066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-12)*3)\/((-10)\/(-8))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -454107 - 0.5?\nAnswer: -454107.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 775378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*i - 5*x, 3*x = -x. Calculate the highest common divisor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*y**3 + 6*y**2 - 1814*y + 114327 wrt y?\nAnswer: -9*y**2 + 12*y - 1814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2826 * 0.16\nAnswer: -452.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 18 + (2 - 18) + -12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100820411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (2*74)\/(-2). Let v = y + -24. What is the highest common factor of 20 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((456 - 428) + 0 + 49 + (12 - 2)).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106652 and 250770?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i - 309*i**2 - 329*i**3 - 333*i**3 + 2*i + 665*i**3 to o*i**2 + l + y*i + k*i**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 327*b + 671. Let m be c(-2). Let x(d) = -48*d + 9. Let t(l) = 16*l - 3. Determine m*t(v) + 6*x(v).\nAnswer: -16*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 + 17*g - 70. Let k be c(3). Let y(z) = z**3 - 8*z**2 + 3*z + 1. Calculate y(k).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.07 + 0.1. Let f = -0.026 + c. Let s = 0.003954 - f. Round s to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741426719.\nAnswer: 11, 227, 263, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 533145.087 and -1.6.\nAnswer: 533143.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -590.1667 - -702.16712. Let f = 112 - x. What is f rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, k: 2, e: 1}. What is prob of sequence keak?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489 = -5*c + 10*h - 14 - 267, -c + 4*h = 308 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**4\/4 - 2*p**3 + 3*p - 9. Let l be x(-7). Suppose -l - 110 = -6*s. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.2, 376382?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/49)\/p)\/(p*p*p**13))\/((((p*p**(-11\/5)\/p)\/p*p*p*p)\/p)\/p**(1\/10)) assuming p is positive.\nAnswer: p**(-7223\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 221\/195 - (-2)\/(-15). Let i(a) = 0 + 0 + 2*a**2. Let c be i(v). Sort c, 4, -2 in decreasing order.\nAnswer: 4, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from mvmmvvmmvvmv.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w + 136. Let g(v) = -10*v - 684. Determine -3*g(s) - 14*r(s).\nAnswer: 2*s + 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g + 2. Let r(h) = 41*h**3 - 3*h**2 + 8*h. Let j(c) = -14*c**3 + c**2 - 3*c. Let s(t) = -11*j(t) - 4*r(t). Let f be s(-1). Is w(f) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109ac40 (base 13) in base 16?\nAnswer: 4df0c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-84)\/(-18) + -4)*(-8 + 2). Let v = -0.3 - -0.1. Let u = v - 0.3. Which is the third smallest value? (a) m (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -219 - -950. Let t = d - 731. Factor 4\/7*n + t + 2\/7*n**2.\nAnswer: 2*n*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/9*((-57)\/(-15))\/(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/6*(15\/(-9))\/5. Let w(k) be the first derivative of -g*k**3 - 2\/3*k + 3 - 7\/6*k**2. Find m such that w(m) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/3 - 1145*q**3\/3 - 133743*q**2 - 27266803*q\/3 + 5610270178\/3 = 0. Calculate q.\nAnswer: -409, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4203341043 (base 5) in base 15?\nAnswer: -b5db33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 124410 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 4*s**2 + 2*s + 2. Let u be b(2). Let y(d) = -d**2 - 5*d - 4. Let p be y(-3). Suppose 2 = 3*a - p*a. Put 1, u, a in descending order.\nAnswer: a, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-16)\/c)**(-19) assuming c is positive.\nAnswer: c**285","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**3\/3 + p**2 - 7961. Suppose -4*q - 48 + 12 = 0. Let g(a) = 5*a**2 + 8*a - 1. Calculate q*v(m) + 2*g(m).\nAnswer: m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 + 0*s + 0*s - 4*s**2 + s**2 + 2*s**2 + (3 + 2 - 3)*(s**2 - 2*s**2 + 3*s**2) - 8*s**2 - 2 + 2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 5. Let t(n) = -n - 6. Let v be 3\/2*(-1 - -3). Suppose k - 7 = v*k - 3*w, 4*w - 36 = -4*k. Give k*t(c) + 5*m(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 6. Let o(p) = -1. Let j(z) = 4*o(z) + q(z). Suppose 2682 = 84*l + 22*l - 553*l. Give j(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 475 (b) -0.4 (c) 1\/6 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 2:00 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 724.5214 millennia?\nAnswer: 7245.214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/4 - 125627*j**2\/4 = 0. What is j?\nAnswer: -125627, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -1463.\nAnswer: 4389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (46 - (6 - -9))) + 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 38.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 - 5*s**2 + 3*s**2 + (4*s - 3*s + 0*s)*(-s + 5*s - 5*s) - 2*s**2 - 2*s**2 + 2*s**2 + 0 - s**2 + 0.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1169 and 37708767.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 10 = -6*d. Suppose -2*a + a = -d. Suppose 8 = 2*b - u, -a*b - 3*u + 6 = 2*b. Solve -2 = 5*q + b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76252.54102 + -2063.5?\nAnswer: 74189.04102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -56, -90, -142, -218?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 220604083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfgfqgqgqg. What is prob of picking 1 n and 1 g?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5 + 10*t**4 + 140*t**3 - 40*t**2 - 528*t = 0.\nAnswer: -6, -2, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6016 + 800?\nAnswer: 6816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -10, 1.\nAnswer: -19, -10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -60503867.\nAnswer: -4\/60503867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4.53*5\nAnswer: -22.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25693158 is divided by 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {s: 1, d: 3, e: 2, n: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 14. Let z be a(0). Let n = 41 - 40.6. Sort n, z, 0.5, -0.3 in decreasing order.\nAnswer: z, 0.5, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-75)\/(-20) + -4 + 782\/(-8). Let u = -184 - c. Let d = -73 - u. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 j when four letters picked without replacement from {k: 1, y: 5, o: 1, r: 2, j: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -3*m**5\/10 + 2*m**4 - 247*m**2\/2 + 2*m + 357. What is the derivative of z(g) wrt g?\nAnswer: -18*g**2 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -130\/777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 3*l)*(-7 - 3 - 1).\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64746541 divided by -2815067.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3716.54 - 1.\nAnswer: -3717.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/58 and 39\/142796.\nAnswer: 142796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Let r(j) be the second derivative of -1\/6*j**3 + 7\/2*j**2 - j + 0. Give r(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/12)\/h*h)\/h)\/(h\/(h*h**(1\/13)\/h)))\/(h**(-1\/16)\/(h*h**9)) assuming h is positive.\nAnswer: h**(5027\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 7*j**2 - 13*j - 11. Determine k(-10).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*d + 2. Let q(j) = -j**2 - 2*j + d + 4 - 3*j. Calculate q(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586411778?\nAnswer: 2, 293205889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 29*l - 20*l - 10*l)*(-l**3 + 5*l**3 + 0*l**3).\nAnswer: -4*l**4 - 60*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(7) - sqrt(7))*6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*m + 574 = -440. Let w(s) = s**3 + 7*s**2 + s - 6. Let c be w(-5). Calculate the greatest common divisor of c and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77583*p + 77580*p + 24 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 7712.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 0 + 0*s - 2 - 4*s - 2. Let a(j) = -2*j + 10. Let g be a(7). Give x(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -225 in -5, 4.5, -4, 1.4, 36?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 81821851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1906*r**2 + 7*r - 1908*r**2 - 5*r - 2*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340 = -5*z - 330 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-nine fifths of a milligram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*u + 3192*u**3 - 16*u + 30*u - 1732*u**3 + 3628*u**3 to the form x + p*u**3 + a*u + v*u**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 6*a - 18. Let f be z(-3). Is f >= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 3\/(-3)*1. Does 18 divide 66\/4 + (-3)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t - 11 - 8 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319766563?\nAnswer: 2351, 136013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -102 + 191. What is the remainder when n is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18313*a**4 - 16*a**2 - 1570334*a wrt a.\nAnswer: 219756*a**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 147cc (base 14) in base 2?\nAnswer: 1100011100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*g - 314, 2*g - 399 = -3*r + 567. What is the lowest common multiple of r and 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n - 6*n - 10*n as o*n + b and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 1. Let a = -2 - s. Let n = -1031 - -1027. What is the nearest to 0.2 in a, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2164 and 10.\nAnswer: 10820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-613)\/1 - (48 - 53). Let p = h - -1681. List the prime factors of p.\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2976)\/(-180) - ((-55)\/(-231))\/(1\/(-7))?\nAnswer: 91\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 14*x - 7. Let j be u(3). Let d be ((-390)\/j)\/(1\/7). Let m be 8\/(-52) + (-64)\/d. Is 1\/21 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2536 divided by -1268.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 11*u - 1. Suppose 5222 = -25*h - 10503. Let n = -602 - h. Calculate the remainder when n is divided by b(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -663, 67, 1267, 2925, 5029, 7567?\nAnswer: 10527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-294)\/(-52) + 7\/14. Let y = l + -6. Which is the second smallest value? (a) 0 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38205 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11067 + 11842. What is the greatest common factor of d and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 113, 99, 69, 17, -63, -177, -331?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 - 5\/(-2). Suppose -o*u + 2 = -u. Let m(x) be the first derivative of 3*x**2\/2 + 38. Let d(f) = -f. What is u*m(j) + 2*d(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 50 - -2?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o - 96374 - 16842 = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2766070533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122595403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 151*h**2 + 2710*h - 5980. Calculate g(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-1 + (5 - 9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4701 + 5100. Is 409 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwggbjewqggjg. What is prob of sequence wwe?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 5*w**2 - 6*w + 7. Let u be b(3). Suppose 56 - 28 = u*p. Solve -7*t = -p*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 7. Let t be n(5). Suppose 2*a + 6*f - 5*f = 9, f + 26 = t*a. Let k = 1843 - 1816. Calculate the remainder when k is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -521\/84 + 25\/4. Let n = 17\/84 + l. Put n, 6, 0.3 in decreasing order.\nAnswer: 6, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**4\/4 + 7*p**3\/3 - 3*p**2\/2 + 8. Give l(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 6, -44, 2, 5 in descending order.\nAnswer: 18, 6, 5, 2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/8 - 16371*v**2\/8 - 294435*v\/8 - 1324593\/8.\nAnswer: -(v + 9)**2*(v + 16353)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-12) - 7\/(-4). Suppose 0 = -z*k + 3*k - 5*f - 18, 0 = -5*k + 5*f + 30. Solve 5*a = -k - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 0 + 1\/8*x**4 + 0*x + 116*x**2 + 1\/6*x**3. Let m(y) = -y**3 + 5*y**2 - 1. Let b be m(5). Give r(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 3*g + 2. Let f be d(-2). Calculate the common denominator of (-1)\/(12\/(-1))*58 and 4 - ((-668)\/(-80) - f).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 65*z**2 + 2601*z + 283. Calculate m(93).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 3:56 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -94853 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t + 34 = -50 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(1*sqrt(1331) - sqrt(11)))**2.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/5 - 441*b\/5 - 115464\/5.\nAnswer: 3*(b - 283)*(b + 136)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9023899 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02949? (a) 2 (b) 0.1 (c) -5 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14960.999981338 + -14961. Round h to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 1, e: 1, y: 1, k: 1}. What is prob of sequence uv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 - 52*p. Let l(g) = 18*g. Calculate h(l(k)).\nAnswer: -648*k**2 - 936*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 - 19835268*s**3.\nAnswer: 4*s**3*(s - 4958817)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -188 * -1.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 11:05 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 242028\/(-670059) + (-6)\/(-26).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*j - 6 = -115*j. Let s be 6 + 0 + 0 + -1. Solve s = j*f - f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19241198557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8056*s**2 - 3581*s**2 + s**3 - 371*s**2.\nAnswer: s**3 - 12008*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-84)\/(-5)*280\/12. Suppose 7*a = 532 + z. Calculate the greatest common factor of a and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**3 - 12*a**2 - 6*a. Let g be 4*(-20)\/(-8) - 3. Let b(q) = 10*q - 4*q**3 - 4*q + 11*q**2 + g*q**3. Let x(z) = -3*b(z) - 2*w(z). Solve x(l) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 7 - 3. Suppose -m*q + 2 + 4 = 0. Solve -25 = -q*l - 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2. Let x(f) = 25047*f**2 + 24759*f**2 - 47504*f**2. Give x(r(z)).\nAnswer: 9208*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnvuuppumv. What is prob of sequence mp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**5 - 260212*y**4 + 2602436*y**3 - 5465452*y**2 - 10409680*y + 26025200 = 0.\nAnswer: -65063, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.122 and 0.0385.\nAnswer: -0.004697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43942876 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -67.9. Let p = 9.06 + f. Which is the nearest to p? (a) 3 (b) 0.1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458816.6l in millilitres?\nAnswer: 458816600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/23, 3, 1\/4.\nAnswer: -1\/23, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 68217 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: In base 2, what is -11100001 - 1000001011011001101?\nAnswer: -1000001011110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**2 + 2*j**2 + 24*j**2 - 26*j**2 + 31*j - 31*j + (-2*j - 1 + 1)*(0 + 0 - j) + (3 - 3 + 2*j)*(-j + j + j) to the form y*j + c*j**2 + f and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -d + 17 + 2, 4*d + a = -9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 + 4*d**2 + 11*d**5 - 7*d**5 + (4 + 4 - 5)*(-2*d + 2*d - 2*d**5).\nAnswer: -2*d**5 + d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6700830 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -19*x + 60 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 154 + -23. Let v = 866 - q. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 + 0.06. What is the biggest value in 4\/3, 0.4, u?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57271483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(1500)*3 - sqrt(1500)) + sqrt(1500))\/(sqrt(5) + sqrt(30)\/sqrt(24) + (sqrt(40) - sqrt(120)\/sqrt(3))\/sqrt(8))*6 + 3)**2.\nAnswer: -720*sqrt(3) + 43209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 2*v - 4*v + 20, 5*h + 40 = -2*v. Which is bigger: -7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -0.5 (c) -1\/4 (d) -23994 (e) 0.2 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Let d(f) = 10*f + 1. Let n be d(3). Let j = n + -36. Sort -0.1, j, m in descending order.\nAnswer: m, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2327c (base 16) to base 14\nAnswer: -3a696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 473 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 17*n**3\/3 + 15*n + 9. What is the first derivative of g(r) wrt r?\nAnswer: 34*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1251461*g**4 - 25182356*g**2.\nAnswer: -30035064*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from hhwhwhwwhw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 o when three letters picked without replacement from {s: 3, y: 1, g: 1, o: 1, r: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 71*x + 34. Let q be k(-35). Let c(d) = 6*d + 7. Let i(t) = -t - 1. What is q*c(b) - 4*i(b)?\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/8 + 8\/(-192).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17889165 divided by 19215?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5280)\/90)\/(-44)*4\/(480\/(-9)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oowe when four letters picked without replacement from {w: 4, e: 2, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*k = 775 - 1080 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90517 = -46*m + 70161. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1471399753.\nAnswer: 73, 709, 28429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*s - 13*s = -156. What is the closest to 2 in s, -1, 4\/7, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -771109, -771014, -770917, -770818, -770717?\nAnswer: -770614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(sqrt(5) + sqrt(5) + 0))**2.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 0*u**3 - 1\/25*u**5 + 0*u - 1\/20*u**4 + 0*u**2 - 20. Factor j(r).\nAnswer: -r**3*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 1:46 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 4 (b) -2\/13 (c) -0.5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -4. What is the lowest common multiple of d + 7 + -2 + 1 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/13))\/w*w)\/(w**(-1)\/w))**(-6\/11)\/((w**(1\/4)*w*w)**(3\/20)*(w**(-2\/7))**(-18)) assuming w is positive.\nAnswer: w**(-576627\/80080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {v: 3, u: 3, z: 3, e: 2, r: 1, k: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 9*h**2 + 8*h + 1. Let k be b(-1). What is the fourth smallest value in -0.5, k, 0.5, 8\/39?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-15) + 177749788\/1140 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 747 by 3.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43377*j - 3*r + 28 = 43379*j, 0 = -j + r - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**3 + 2*x**3 - 5 + 10*x - 4*x + 3*x**2 + 0*x**3. Let d be k(4). Solve -z - 2*z = d*g + 15, 0 = -2*z + 5*g + 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33826, -135307, -304442, -541231?\nAnswer: -845674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*o - 259*o + 334*o - 2*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370*y**3 + 1112*y**3 - 373*y**3 - 371*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, 1\/7, -2.6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344989.\nAnswer: 43, 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**4)\/((b\/((b\/(b*(b\/(b**(-1\/3)\/b))\/b)*b)\/b)*b)\/b)*b**(2\/5)*b*(b**3*b)\/b assuming b is positive.\nAnswer: b**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + 1 + 20\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/960 and -49\/2363836.\nAnswer: 567320640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 153*a - 8165. What is l(54)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.02 and 51468060615?\nAnswer: 51468060614.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -56. What is the biggest value in 5, c, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10044 divided by -190\nAnswer: -5022\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 1, -500 in decreasing order.\nAnswer: 2, 1, -2, -500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.242296kg in nanograms?\nAnswer: 1242296000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5 - 2 = 12*l - 16*l, 447 = 153*s - 4*l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + u = 610, -2*u = 3*j - u - 368. Let q = -101 + j. Let a(o) = -o - 10. Let h be a(-10). Solve -5*b + 25 + 1 = 2*v, -4*v - 2*b + q = h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 9) in base 11?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/s**8)*s**(-1) assuming s is positive.\nAnswer: s**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -3*w + x, -4*w = 3*x - 53 - 38. Let g = w - -56. Suppose g = -0*y + 2*y. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43580*u**2 - 7713664*u - 708.\nAnswer: -4*(u + 177)*(10895*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + p. Let r = 2154 + -2172. Let w(k) be the second derivative of 2*k**5\/5 - k**4\/4 + 7*k**3\/6 + 2*k. Let b(i) = r*q(i) + 2*w(i). Factor b(y).\nAnswer: -2*y*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 51\/(-2) + 9*(-1)\/(-6). Let w be (m\/(-15) - -2)*-10. Does -36 = w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from apapawpvkxax?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4*h + 0)*(-741 - 2*h**2 - 117*h + 741).\nAnswer: 8*h**3 + 466*h**2 - 117*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1902.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/9)\/((k*k*k**(-1\/6))\/k)*k**(-1)\/(k*k**(2\/13)) assuming k is positive.\nAnswer: k**(-803\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1080 and 54?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/266175520 and 127\/24570048.\nAnswer: 1597053120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1\/4*12\/(-42)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-18) - (-24330)\/(-135). Let r = -85 - b. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*c + 35*c - 5*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -773, -7001, -24137, -57635, -112949, -195533, -310841?\nAnswer: -464327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 37207, 4, -0.02, -31?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 108 - 33 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4\/11 - 8*q**3\/11 - 14*q**2\/11 + 20*q\/11 = 0 for q.\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (2 - (-2 - -5)). Is u - (3 + (-518)\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/5115 (b) -4\/7 (c) 56\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-2)\/50*20)\/2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-1)))\/u*(((u*u**(-2\/19))\/u)\/u)\/u)**(-1) assuming u is positive.\nAnswer: u**(78\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 76 from 5945.\nAnswer: 5869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + 1 + sqrt(20))**2.\nAnswer: 32*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gsgzggzs. Give prob of sequence szgg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) 15 (c) 1\/3 (d) 5 (e) -1 (f) -746\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2*r = 36, -194*a + 189*a + 3*r = 47 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24917559 is divided by 274?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**5 + 24*y**4 + 140*y**3 + 156*y**2 + 4*y. Let d be (1*2\/4)\/(25\/(-200)). Let q(a) = -a**5 - a**4 + a**2 - a. Let r(s) = d*q(s) - c(s). Factor r(f).\nAnswer: 5*f**2*(f - 8)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x - 1 - 8 + 10 - 2*x.\nAnswer: 10*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*b**4 - 9*b + 1 - 24*b**4 - 2 + 0 + 6*b**2 wrt b?\nAnswer: -12*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3635, -4417, -5691, -7433, -9619, -12225, -15227?\n\"Answer: 4*k**3 - 270*k**2 - 3369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y**3 - 64*y**3 + 43*y**3 + 39*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.025 - 0.275. Let q = 4 - 9. Which is the second biggest value? (a) -2 (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1719, -1750, -1831, -1986, -2239?\n\"Answer: -4*l**3 - l**2 - 1714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30284 + -12043. Let j = k - 693259\/38. Let x = -1788 + 8974\/5. Find the common denominator of j and x.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**3 - 13*a**2 + 4*a - 5. Let g(k) = -9*k**3 + 20*k**2 - 6*k + 7. Let p(t) = 5*g(t) + 8*s(t). Let w be p(-3). Do -129 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5)*x)**(1\/21)*(x**(-1))**(-28) assuming x is positive.\nAnswer: x**(421\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, g: 1, e: 2, m: 1, v: 3}. Give prob of sequence mv.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 211492134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 4)*(0 + 240*c - 2 - 232*c) as g + h*c and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/465)\/((-28900)\/36125).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-300)\/5))\/((-154)\/(-693)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 14. Let y = -11 - -20. What is the remainder when n(-11) is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2648435438 is divided by 212.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -139a - 0?\nAnswer: -139a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -7 + 0 + (-8)\/2. Let b = w + 16. Suppose -3*i - i = -2*s + 12, -9 = -3*i. Calculate the least common multiple of s and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(3\/2*26\/(-78))\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.91089 rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6298*h - 27. Is z(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (6 + 10 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 292, 290, 288, 286, 284, 282?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p + 1. Let m be v(4). Let o = 15 + -8. Suppose -o*b + m - 8 = 0. What is the remainder when 3 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30618310 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -602 < -519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 32292*v - 111. Is d(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 30*k - 29*k - 3, 4*r + 44 = 5*k. Calculate the lowest common multiple of k and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/8553255 and -121\/60.\nAnswer: 34213020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.059? (a) -6 (b) -2 (c) -8 (d) -1\/38 (e) -2\/17 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 795*p. Let c(d) = -7*d. Determine 4*c(t) - z(t).\nAnswer: -823*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2 - 52*r + 41. What is f(-15)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -1, 18 in ascending order.\nAnswer: -63, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**5 - 1851*m**3 - m**2 + 373*m - 3.\nAnswer: 120*m**2 - 11106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77\/4, -7, -2.5 in ascending order.\nAnswer: -7, -2.5, 77\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 381660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 4. Let n = 27 - 27. Suppose n = -z - 3*z + 32. Calculate the smallest common multiple of h and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 9*t - 14. Suppose -2*m = 3*x + 40, -m + 3*m = x. What is h(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d + 58 - 202. Let c(i) be the second derivative of 0*i**2 + 1\/60*i**4 - 1\/100*i**5 - d*i + 0*i**3 + 0. Solve c(p) = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*x, o + 3*o = 5*x + 90. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -15959 - 48314. What is the remainder when s is divided by 158?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*29\/(-58)*(-8)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-8)*h**(2\/3))**(-4\/5))**26)**(-6) assuming h is positive.\nAnswer: h**(-4576\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -9 + 0 + 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 3:14 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 10:44 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-9)\/24)\/(102\/(-136)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 38*i - 1. Let s be c(1). Suppose 3*t - 5*m - s = -7, 2*m + 30 = 3*t. Calculate the greatest common divisor of 20 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.14 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -55\/2. Let i = -0.7 + -0.45. Let t = i - -1.45. What is the second biggest value in -0.1, t, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 - 4*t - 85 + 171.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 e, 1 x, and 1 b when four letters picked without replacement from {c: 4, s: 1, b: 4, e: 1, d: 1, x: 3}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/10 - -7\/5. Let i(n) = -n**2 + 15*n + 38. Let d be i(17). What is the closest to 4\/5 in d, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 2 - 2*b + 10 - 3*b + 0*b + b - b - 2*b + 2*b - 6*b + b + 3*b + 2*b - 2*b - b + 1 + b - 1 + (2 - 1 + 1)*(-2*b - 2 + 2) + b - 1 + 1.\nAnswer: -10*b + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50198*u**4 + 50146*u**4 + 157 + 2*u**3 - 16*u**2 - 157 to t*u**2 + w*u**3 + x*u + i + s*u**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1\/2 (c) -130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4697*f - 4689*f + 18759*f - 4690*f - 4688*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(3\/(36\/(-381))). Let g = o - 8263\/254. Calculate the common denominator of -19\/10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 581*p + 4031. Calculate v(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -841*a*d - 18*a - 1493981*d wrt a.\nAnswer: -841*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 7. Let l be m(-8). Let p(h) be the third derivative of 47*h**5\/60 + h**4\/12 - h**3\/6 - 4*h**2. What is the units digit of p(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 6*q**2 + q + 6. Let x be b(-6). Suppose 0 = -x*n + 4*n - 76. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s**13\/s)\/s))**43 assuming s is positive.\nAnswer: s**(-387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:58 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h - 35289*h**3 - h + 35290*h**3 - 665 in the form z*h + w*h**2 + d + x*h**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 306356 divided by 19\nAnswer: 16124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 550? (a) 2\/31 (b) -0.03 (c) 4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - w**3 + 0*w**3 - 3 - 1 - 333*w**4 - 2*w**2 + 335*w**4 - 3*w to the form f*w**3 + b + d*w + g*w**4 + i*w**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*n = 13*n + 3388 - 31108 for n.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9.378*1\nAnswer: 9.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -73.708776 - 0.04\nAnswer: -73.748776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 + 4*m**2 - 6*m**2 + (-2*m + 11*m + 3*m)*(3 - 5 - 1)*(-2*m + 0 + 0).\nAnswer: 73*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-25)\/(-12)))\/(((-45)\/50)\/(-3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2287 (b) 2 (c) 29018\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98864933 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-2)*(-8)\/10. Let y = 4 + -2. Suppose 4*q = y*q. Solve 0 = -q*s - 4*s - p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2123.\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*r**3*w - 1644689*r**3 - 182951*r*w wrt w.\nAnswer: 17*r**3 - 182951*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, n: 1, q: 1, m: 1, u: 2, f: 1}. Give prob of picking 1 m, 1 f, and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -8*f + 6*f - 4*q, 1 = 3*f + 5*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/6)\/(4\/(-30)). Let t be 6\/(u + -2) - 4. Let v(j) = -j**3 + 4*j**2 + 15*j - 21. Let d be v(6). Which is smaller: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**5 - 7*w**4 - 45*w**3 - 73*w**2 - 19*w - 38. Let q(y) = y**5 - 2*y**4 - 15*y**3 - 24*y**2 - 6*y - 12. Let l(h) = -6*i(h) + 19*q(h). Factor l(m).\nAnswer: m**2*(m - 3)*(m + 1)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11651*g**2*s - 2*g**2 + 286*g - 6327*s**3 + 322068 with respect to s.\nAnswer: 11651*g**2 - 18981*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from utttutttttttt.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.187 and -0.1839?\nAnswer: -0.0343893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -446 - -755. Find the second derivative of n*l**2 + 8704*l - 5 - 8420*l + 5 wrt l.\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699860887 to the power of 1\/2, to the nearest integer?\nAnswer: 26455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - 46. Which is the third smallest value? (a) 3\/5 (b) -3\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18880015*z**2 - 16297840 with respect to z.\nAnswer: 37760030*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, 1, 0, 121, 31 in decreasing order.\nAnswer: 121, 31, 1, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*q + 2*q. Suppose 12*r - q = 6*r. Solve 6*x = r*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1407 and 4288?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/(q**(4\/3)*q)*q**(-2\/7)*q)\/(q**1*q*q\/q**(-3))*((q\/(q*q**(-1)))**(-11))**(2\/47) assuming q is positive.\nAnswer: q**(-5021\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1348259.\nAnswer: 11, 19, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28a + -1?\nAnswer: -28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**3 + 0*i**3 - 4*i**3)*(18*i - 18*i - 12*i**2) + 0*i**5 + 3*i**5 + i**5.\nAnswer: -8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d**2 + 21*d - 9. Let c be l(3). Solve c = -2*t - 25*t - 108 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 11. Let k = n - 6. Let s = -1 + 1.5. Which is the nearest to k? (a) 4 (b) s (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + (3 - (-14)\/(-5)))*5. Suppose -2*n = 2*p - 5*p - 2, -y = -4*n. Is p\/9 + -2*3052\/(-72) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 102.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3055*z - 3204. List the prime factors of y(4).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t + 190. Suppose -t = -w - 0*w. Suppose -14*n + 15*n + 3*h = 310, 2*h + 1516 = 5*n. Calculate the highest common factor of n and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - v = v + 100, 2*b = v + 40. Suppose 0 = -15*z + b*z - 35. Let d = z - -25. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 4:54 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*m - 116*m + 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -46. Let y = -59 + 88. Suppose -r = 5*w - j, 0*r - r + 2*w = -y. Calculate the greatest common divisor of 27 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1460204 divided by -4?\nAnswer: 365051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(2*h**3 - 2*h**3 + 3*h**4 + (-6*h**2 + 4*h**2 + h**2)*(h**2 + 0*h**2 - 5*h**2)).\nAnswer: 14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18390 and 1860105590.\nAnswer: 6130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85437649 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16981.36022 and -2?\nAnswer: -33962.72044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*q + 57. Let u(a) = 23*a - 9. Let y be u(7). What is the highest common divisor of y and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2545161?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 5*v + 4. Let x be s(5). Let y be (-53)\/(-11) + x\/22. Suppose y*r + 83 = 6*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - 5. Let p = -33 - t. Let m = 17 + p. Solve 1 = v + 3*l - 6, 2*v - 4*l + 6 = m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/18)\/(8\/128))\/(20\/30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 - -380. Calculate the greatest common factor of 31 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = 699*t - 709*t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3*(-4)\/234*363\/(-242)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/13))**31\/((n*n**(7\/5))\/n*n*n*n*n**5) assuming n is positive.\nAnswer: n**(1094\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) 2\/5 (c) 3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, 2, 0.4, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2077 - -97?\nAnswer: 2163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*j**2 + 1 - 10 - j - 2*j + 34*j**2.\nAnswer: -117*j**2 - 3*j - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 902 is divided by 76.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 - s**5 - 3*s**5 + (7*s - 12 + 12)*(-s**4 + s**4 - 2*s**4) - 2*s**5 + 5*s**5 - 2*s**5 + s**4 - s**4 - 2*s**5.\nAnswer: -17*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(570\/60)*6\/(-402)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 393 - -523. Suppose -288 + b = 4*f. Let j = f + 30. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68868.\nAnswer: 2, 3, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, 2, -2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**4 + b**4 + 2 + 3*b**4 + (b - 3*b + 10*b)*(-3*b**3 + 6*b**3 + b**3) in the form u*b**2 + a*b**4 + h*b + x*b**3 + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/((-12)\/3) + 3. Suppose 6*y + 3*b - 12 = y, 0 = -5*y - 2*b + 13. Solve y*j = -a - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) -5 (c) 1\/7 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4548673 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -812*r**2 + 6277*r**3 - 658*r**2 + 1140*r + 1468*r**2 wrt r.\nAnswer: 37662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as 1242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 13255\nAnswer: -13258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33210 + 100?\nAnswer: -33110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1390 (base 13) in base 3?\nAnswer: -10212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 834 (base 11) in base 16?\nAnswer: 3ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 a factor of 75094113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8034 is divided by 3964.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -380 divided by -4947.\nAnswer: 380\/4947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 6*t**2 + 2*t + 1. Suppose -6*z + 30 - 6 = 0. What is the smallest common multiple of (-3)\/((2\/(-2))\/(2 + z)) and x(-5)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27892969*f**2 - 238038*f - 69?\nAnswer: -55785938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (1 - -15 - 1\/(4\/36)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 16) to base 14\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 15*u**3 + 4*u - 3. Let j be t(2). Let c = 350\/3 - j. What is the common denominator of c and -27\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21852.92 + -21853. What is the closest to -0.1 in 4, -1\/9, 2, h?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 90 = 3*w. Let k be (-184)\/w - (-2)\/(-9). Let t = 30 - k. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-14)\/56)\/((-4)\/64) - -12671?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 + 13*d**2 + 18*d + 2. Calculate the remainder when 43 is divided by x(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1777116 divided by -4.\nAnswer: -444279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/12 + i. Let l(n) = 1. Let z(b) = -3*b - 6. Let u(q) = 6*l(q) + z(q). Give u(g(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - -2 - (-3)\/(-1). Solve -3 = -m*n + n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6103907689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2.121 - -36980.49\nAnswer: 36978.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -411767*3.\nAnswer: -1235301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6761.843521 rounded to the nearest ten?\nAnswer: 6760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/93356 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000101111110 - -101110110110?\nAnswer: 1001110100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 23 = -68. Let a be (-135)\/(-2) - x\/(-18). Let m = -40 + a. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 799, 794, 787, 778, 767, 754?\nAnswer: 739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 - 10 = 0. Let d = u + -8. Does 16 divide (-49)\/3*-3 + d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/14903 - -19478173\/178836. Let c = -435\/4 + t. What is the closest to -34 in -3\/4, -0.4, -1\/9, c?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 87 = 5*l, -69 = -41*c + 38*c - 4*l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 11*o**2 - 12*o + 18. What are the prime factors of c(8)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*c**2 + 148*c**2 + 286*c**2.\nAnswer: 124*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -141 - -140. Let p(b) = 37*b**2 - 2*b - 1. What is p(h)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/10*19350\/(-1290).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 + 103. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49305 and 33.\nAnswer: 542355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, w: 8}. What is prob of picking 2 k and 1 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 7*p + 12. Let u be l(-5). Solve 3*d + 9 = 3*f, 2*d + 1 = -3*d - u*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603031080 rounded to the nearest one hundred thousand?\nAnswer: 603000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 273948384 divided by 901146.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*p - 2*c, -15 = -2*p - 4*c + 5. What is the smallest common multiple of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -3*g**2\/2 + 18*g - 4. Let s be t(5). Solve o + s*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -22. Is w a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396203795 to the power of 1\/3, to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 7:15 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*v + 51*v + 72 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-54)\/(-1386) - (-22)\/(-121). What is the third smallest value in 1\/7, -1.3, b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -184 + 207. What is the remainder when g is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67467?\nAnswer: 3, 43, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7257877*i**2 - 29031508*i + 1. Calculate d(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 + 8*h**2 - 11*h + 23. Let z be l(3). Let d(k) = k**2 - 5*k - 32. Give d(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1768)\/(-6) + 14\/(-21). Let b = o + -36. Let x = 1543\/6 - b. Are -1 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 5409*a + 5404*a = -38, -a - 66 = 4*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -12*b**3 + 5*b - 5. Let l be 3\/1 + 1*(3 - 2). Let a be ((-276)\/(-15))\/l + 22\/55. Let k(n) = 119*n**3 - 49*n + 49. What is a*k(v) + 49*p(v)?\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(396))\/(-1*sqrt(8)\/sqrt(2)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1082158.\nAnswer: 2, 7, 11, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 24, 1 in ascending order.\nAnswer: -2, -1, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avwvaavoooyaaowv. Give prob of sequence aa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-48)\/(-18))\/(1\/3). Solve -s - 2*s = -m - 1, 4*s - p = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 + 0*j**2 + 2*j**2)*(4 + 1 - 3 + (-2 + 1 - 2)*(5 - 2 - 2) - 7 - 11 + 3) in the form c + q*j + y*j**2 and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 810887?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7529 + 5285 = 52*p - 201*p for p.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 4. Suppose 5 = -d + k*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5881, -23527, -52943, -94129, -147085?\n\"Answer: -5885*w**2 + 9*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z + 4*z + 0*z)*(4*z**3 - 4*z**3 + 2*z**3)*(-1 + 3 - 3).\nAnswer: -24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 19104*x - 720176.\nAnswer: -4*(x + 38)*(x + 4738)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**23*n)\/((n*n**(-13))\/n*n*n) assuming n is positive.\nAnswer: n**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*g**3 - 732*g**3 - 5822*g**3 + 938*g**3.\nAnswer: -5732*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -6, 0, -0.4, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2 + 510*y - 180991 = 0. Calculate y.\nAnswer: -751, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-273308)\/(-1548))\/227)\/((-2)\/(-36)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6704*p**3 + 8. Let v be n(5). Let t be (-151136)\/(-20)*(-1 - 184). Let u = v + t. 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 b(j) = j**2 - 14*j + 57. Let g = 208 + -195. Calculate the remainder when b(g) is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -237, 1, -10 in decreasing order.\nAnswer: 1, -10, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4914128454141 and 7?\nAnswer: 4914128454134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104 - -113. Suppose -y - t + 6 = 0, 2*t - t + n = 4*y. Solve 0*d + 0 - 1\/2*d**2 - 1\/2*d**y = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/21 and 41\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 176*o**4 + 21244*o**3 - 161576*o**2 + 353504*o - 233472 = 0. What is o?\nAnswer: -128, 57\/44, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11638.2 rounded to the nearest 100?\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.81 + -1.809999145. Round w to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12065 at least as big as 151180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2301012 divided by -483\nAnswer: 4764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66967 is divided by 16507?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -10923*z + 54620. Calculate r(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f + 1. Let s be c(-4). Solve 0 = 3*r + 4*l + s, 2*l = -5*r + r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-48)*3*8\/(-18)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 5*b + 3 = -2, -b = 4*i - 16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5163 + 1469 = -2*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a factor of 226612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1929821 is divided by 39?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 553018 and 80.5005397.\nAnswer: 553098.5005397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3565 + 23220?\nAnswer: 16322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -9*h. Let y(a) = 5*a - 11. Let u(r) = -r + 2. Let o(t) = 11*u(t) + 2*y(t). Let b be o(0). Let s(f) = b + 0 - 63*f**2 + 64*f**2. What is x(s(j))?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 10 = 7*d. Suppose d*a = 5*l - 0*a - 35, -2*l + 26 = -5*a. Find u, given that -3*u**l - 5\/3*u - 16\/3*u**2 + 2\/3 = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 9)*7\/3. Let u be ((-8)\/(-12))\/(k\/9). Let v be -4 + ((-119)\/105 - -5). Which is the second biggest value? (a) v (b) -0.05 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12525, 25046, 37567, 50088, 62609, 75130?\n\"Answer: 12521*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 2*y - 5*y)*(-2*y + 2*y**3 + 2*y) + 4*y**4 - 2*y**4 - 4*y**4 + 2*y**4 + y**4 - y**4 + (1338*y - 1338*y - 41*y**3)*(2 - 2 - y).\nAnswer: 37*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4592048 + 2.8091971. Let l = 1.35 - i. What is l rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-12) - (1 - 1). Find the common denominator of -6 + s\/(48\/494) and -13\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 g when three letters picked without replacement from {n: 8, l: 1, w: 2, g: 9}.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -85 + (30 - 13 - (25 - (3 - -3)))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2121, 2149, 2195, 2259, 2341, 2441?\nAnswer: 2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*y + 14. Suppose 0 = 5*v - 1 + y, -5*v - 167 = -3*u. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 z when four letters picked without replacement from {z: 13, u: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millisecond in microseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (298 + -285)*(0 - -1) - -20?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 5*g**2 - 6*g - 4. Suppose 2*l - 4*l + 4*q - 6 = 0, l = -q - 6. Calculate the remainder when 102 is divided by d(l).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*y**3 - 2*y**2 + y wrt y.\nAnswer: 102*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*c + 13878 - 13810 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 1, g: 7}. Give prob of sequence gy.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(468) + -3 + (sqrt(468) + 1)*-1 + (sqrt(104)\/sqrt(8) + -1 - sqrt(13)) + sqrt(1300) + 4)**2*3.\nAnswer: -96*sqrt(13) + 9987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 5*o + 14, 5*g + 4*o = 9 + 4. What are the prime factors of 4*(g - 1\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21805362?\nAnswer: 2, 3, 44867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 15 + 5 = 0. Let u = -2 - -1.8. Which is the biggest value? (a) 2\/9 (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -1\/36, 5, -0.896, -1\/11, -0.5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - t - 8 = 0. Suppose -t - 2 = 2*z. Is z greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31909342911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 112 = j, 0*n = -2*n + j + 42. Solve 0 = -2*t - 2*t + 3*d - n, 4*t = 4*d - 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1452\/(-605)*135460\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1653.4 and -0.5.\nAnswer: -826.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**2)\/f**(-3))\/(f**(-3)*f**(2\/13)))**(-12) assuming f is positive.\nAnswer: f**(-756\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -155, 5, 9, 2, 12 in increasing order.\nAnswer: -155, 2, 5, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19539134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/7 and 2\/(-19) - 19096\/(-912)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 82 and -0.5.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*(2 + sqrt(704)*2)*-1 - 2*((sqrt(704) - (1 + sqrt(704)))*6 + sqrt(704) - (1 + sqrt(704) + 2)))**2.\nAnswer: -2304*sqrt(11) + 202824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10283*t**4 + 20520*t.\nAnswer: 123396*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37467, 37457, 37455, 37473, 37523, 37617, 37767, 37985?\n\"Answer: 2*w**3 - 8*w**2 + 37473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15502697 - 15502697 + 7*d**2 - 14*d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 - m**2 + 1. Let a = 512 - 513. Calculate h(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72578 - -121392. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19189246.\nAnswer: 2, 1061, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -b86257 (base 13) in base 9?\nAnswer: -8123513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*m = 5, m = -5*w + 4*m - 1. What is the nearest to 2 in w, 3, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in seconds?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2535789580.00000046 - -2535789610. Let p = -29.963 + -0.037. Let c = u + p. Round c to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - 34. What is h rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(99) + sqrt(99) + 3*sqrt(99) - sqrt(99))**2)*-3*-6.\nAnswer: 28494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2*z + 11, 4*g - 5*z - 22 = -2*z. What is the highest common divisor of g and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j. Let s be n(-1). Let v = -9 - -8.5. Which is the nearest to 0.1? (a) v (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112*q + 624*q**5 + 3*q**2 - 3*q**2 - 3*q**4 - 3*q**2 - 147*q + 5*q**4 wrt q?\nAnswer: 37440*q**2 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*t**3 + t + 6*t**3 + 2*t**3 + (2*t + 2 - 2)*(t**2 + 3*t - 3*t).\nAnswer: t**3 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 90 = -w. Let c be (8\/10)\/(1\/w). Suppose 2*v = -2*f + c, -5*v + 3*f - 38 = -114. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + u - 14*u**2.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 387882 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 17460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 7*r**2 - 4*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 720\/(-270) + -5*36\/(-30)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17060 and 20.\nAnswer: 17060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-12)\/3)\/(-4))\/(3 - 4). Let b(n) = 109*n**2 + n. Does 18 divide b(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**5\/180 + a**4\/36 + a**3\/18 + a**2\/2 - 1. Let d(l) be the second derivative of w(l). Factor d(n).\nAnswer: (n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-10 + 8)) + -6 - -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 12 + 34 = -3*n, 7*m + 2*n - 27 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 200 = -14*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + m + 3. Let i(a) = -1147*a**3 - 9*a**2 - 9*a - 27. Give -18*b(z) - 2*i(z).\nAnswer: 2294*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffnphfooffhooffup. Give prob of sequence oh.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -463, 3\/4, 2\/21, -1\/3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 203965 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 171 - 154. Suppose -3*c = 2*j - l, 7*j - 2*j - 10 = -c. Solve 0 = 3*k - 2*v - c, -k + 2*v = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 358, 360, 362?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(160)*-1 + sqrt(160) + (sqrt(40) - 3*sqrt(160)))\/(sqrt(128)*1 - sqrt(32)\/(sqrt(12)\/sqrt(3))).\nAnswer: -5*sqrt(5)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.7, -0.06416, 1, -4, 2, -4.6?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -16. Suppose o - 8 = -2*z. Suppose z*g - 11 = 5. Sort 3, g, -4 in decreasing order.\nAnswer: g, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = q + 5*f, 5*f + 13 = 2*q + q. Find the common denominator of ((-103)\/(-3))\/(12\/q) and -75\/2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 1 - 330*b**3 + 598*b**3 - 326*b**3. What is h(-1)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 2. Let o be (1\/(-2))\/(r\/(-144)). Suppose 3*m - t + 12 = 40, -4*t + o = 5*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 110. Let p(g) = g. Calculate -2*p(d) - v(d).\nAnswer: -d + 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 23*t**2 - 55*t - 75. What is z(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**3\/3 - 27*s**2\/2 - 1192*s. Let t(z) = 3*z**2. What is t(g(r))?\nAnswer: 12*r**2 + 324*r + 2187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 4. Suppose 2*h - 29 = 5*b, 0*b = -2*h - 3*b - 11. Let d be (-2)\/(-4) + 6\/4. Solve h*g - d*a = -y*a + 2, 4*g + a = 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 827561*i**4 + 65*i**3 + 251914121*i**2 wrt i?\nAnswer: 19861464*i + 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, i: 5, v: 5}. What is prob of picking 2 i and 2 v?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 94 = 14. Suppose -4*q + t = 10. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 13*k - 1. Let t(p) = -2*p**2 - 13*p - 1. Calculate -4*t(v) + 5*u(v).\nAnswer: -2*v**2 - 13*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q**2 + 2. Let n(i) = -11*i**2 + 5. Let l be (-37)\/4 - (-6)\/24. Let h = l - 9. Let t = 10 + h. Give t*m(j) + 3*n(j).\nAnswer: -j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -17672000 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*q - q**3 + 25*q - 7*q**3 + 5*q**2 wrt q.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10 = -5*u + 52, -4*u + 3*h + 42 = 0. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23\/4? (a) 0.05 (b) -1 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -166. Calculate the greatest common factor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, m: 3, f: 5}. What is prob of picking 1 f and 2 m?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 36. Let m = -12.1919 - -0.0319. Let l = m - x. Round l to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 845 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4 - -6. Let i = 7 - r. Let v be 4*(-3)\/(1 + 2). What is the nearest to -1 in v, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (188\/(-5405))\/(((-8)\/150)\/(((-190)\/15)\/19)).\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 144\/(-30)*(-20)\/8. Suppose -79145 = g*j - 67*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -224951039, -224951040, -224951041, -224951042?\n\"Answer: -r - 224951038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39255 + 588827\/15. Let a = -0.09 - 1.91. Sort -53, p, a.\nAnswer: -53, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1325 - 1333. Let b(u) = 5*u + 49. Give b(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*w - 9 - 4, -3*w - 3*p = 9. Determine i, given that 0 + 10\/3*i**3 - w*i**2 - 2\/3*i**4 - 6*i = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/60024 and -53\/2928.\nAnswer: 120048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 8:23 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y**2 + 0*y**2 - y**2 - 5*y**2 - 4*y**2.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a day in minutes?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -5 (c) 2\/779\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2031 and 6921?\nAnswer: 4685517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2758.449902 and 10?\nAnswer: 2748.449902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6013 * 4.\nAnswer: -24052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11217606 divided by -1.\nAnswer: -11217606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-294)\/(-441)*2\/(-3). What is the nearest to 1\/2 in 4, -0.4, -147, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1073, -1075, -1079, -1085?\n\"Answer: -f**2 + f - 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k*k**12*k)\/k)\/(((k*k**(-2\/17))\/k)\/k))**(-1\/27))**(16\/9))**19 assuming k is positive.\nAnswer: k**(-24320\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**2. Suppose 0 = 2*z - 2 - 34. Let l be (-4)\/3*z\/(-12). Let k(f) = -f**2 + 0*f**l + 2*f**2 + f**2. Give s(k(m)).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*c - 106 = -3*i, -5*i + c = -86. Let w be (5 - 1)\/(20 - i). Solve w*p = -3*m - 10, 2*m + 8*p = 4*p - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 2. Let q(t) = -3*t - 1. Let o be q(3). Let u be (-6)\/(-15) + (-11)\/o. Is u less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqq. Give prob of picking 3 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 7, h: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62.2 + -89.76. Let b = 28 + g. Round b to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (-10184)\/(-402) + (-4)\/(-6) + (-22)\/(-8)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + 24. Suppose -46 = -d + z. Let n = d - 93. Solve 4*q - n = -20, -5*q = 4*v + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1185 - -1184.83. What is the nearest to 0 in b, -3, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q - 18. Let w(v) = -v + 4. Let r(o) = n(o) + 5*w(o). Let i(k) = k**2 - 6*k - 2. Let j be i(6). Let z be r(j). Solve -4 - 8 = z*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**2 - 54*q - 116. Let k be p(-8). Let f = 0.4 + -0.1. Let z = 4.3 - f. Which is the second biggest value? (a) -8 (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 132 = k + 111, -4*k - 3*r = 950. Let t = k - -247. Is t at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -2146?\nAnswer: -9\/2146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217796775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0 = -2*z + 6, -5*b - 2*z - 14 = 0. Let h be (-14)\/36 - b\/9. Let g be (-4)\/18 + (-1)\/9. Sort g, h, 0 in descending order.\nAnswer: 0, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1874*w**2 - 2*w**3 - 59*w**4 + 3 + 1 + 1865*w**2 wrt w.\nAnswer: -1416*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0583936 rounded to four dps?\nAnswer: 0.0584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 11. Let r be -2 + (3 - p - 1). Is 1 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/4)\/2 - -5. Let x(n) be the second derivative of n**5\/20 - n**4\/2 + n**3\/6 + 3*n**2 + 5*n. Let w be x(d). Solve -4*i = w, g + 4*g - i = -12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -228*k - 910. Let j be t(-4). Put j, -5, -1911 in descending order.\nAnswer: j, -5, -1911","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + y**2 + 390. Let v be b(0). Round v to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -61615\/7 > -8803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 m when four letters picked without replacement from mssssmmmms?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b. Let j(t) = 3*t - 5. Suppose 4*c - 23 = -3. Let p(y) = -1. Let i(n) = c*p(n) - j(n). Let w(q) = 3*q. Let x(d) = 5*i(d) + 6*w(d). What is x(a(g))?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (56\/(-12) - -5)*-9. Let m = 9 - 8. What is the closest to 0 in 2, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -84. Suppose 4 - 10 = 3*l. Let x be 93100014\/q + l\/(-7). Round x to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -2 - 0) + 0. Suppose -5*k = -2*w + 31, 5*k + 22 = -3377*w + 3376*w. What is the closest to g in -4, k, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9414 = 10*d - 1606. List the prime factors of d.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17742 >= 17739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/h**(9\/2))\/((h\/h**(-21\/8))\/h))\/(h**(2\/47)*h**23))**(2\/33) assuming h is positive.\nAnswer: h**(-10591\/6204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 424 and 21836.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -6 (b) 2 (c) 0.21 (d) -33.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307210 is divided by 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (415\/249)\/(((-9280)\/5856)\/29)?\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 2 = 2*n. Let y(h) be the first derivative of -h**3\/3 + 9*h**2\/2 - 7*h - 1. What is the units digit of y(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p**2 + p**3 + 2*p**2 - 3*p**3 + 0*p**2 = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 98852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7251 - 1033. List the prime factors of d.\nAnswer: 2, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 6 + 15 - 372*s**4 - 18)*(-4*s + s - 2*s).\nAnswer: 1860*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 622\/9 (b) 39 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103863 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 0.45770884639609.\nAnswer: -0.65770884639609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -8. Suppose 0 = o*z - 15 - 21. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -320, 215 in descending order.\nAnswer: 215, -43, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18614*q**3 + 9247*q**3 + 9388*q**3.\nAnswer: 21*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/9 + (-43)\/(-9). Solve k*j - 2*j = 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**5\/60 - 593*r**4\/36 + 9735*r**3\/2 + 29403*r**2\/2 - 431*r - 6. Factor x(w).\nAnswer: (w - 297)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36602 (base 8) to base 5.\nAnswer: -1000441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 32\/(-14) + 8\/14. Put 2, v, 0.19, -4 in ascending order.\nAnswer: -4, 0.19, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2)*-4 + -1. Suppose -7*v + 3*v = -k + 17, -5*k + 5*v + 40 = 0. Let u be 4\/(-10)*(-1*k)\/1. Solve 0 = -y - u + c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 29*x**3 - x**2 + 2*x - 1. Determine j(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 96*h**2 - 38*h - 43. Calculate the remainder when v(-6) is divided by 724.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*f, u + 4*f - 36 - 46 = 0. Let i be (30\/u)\/(2\/(1*12)). Solve 0 = i*k - 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 744*i**2 - i**4 + 3*i - 745*i**2 + 3*i + 37 to the form c*i**2 + s + t*i + k*i**3 + m*i**4 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c67 - e1?\nAnswer: 2b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*f = 936, 5*q - 964 = 3*q - 4*f. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28388 and 35485?\nAnswer: 141940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.4012 and -414238.\nAnswer: -414233.5988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-1 + -11) - 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/64)\/((-11)\/759) and 77\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaxooaroxoxxxrx. What is prob of picking 1 r and 2 a?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448*t + 1293*t = 365*t - 228*t + 4248 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 3:09 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (10\/775*-3)\/(23\/(-3680)*-48)\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 7*x. Let b(c) = 91236*c. Determine g(b(h)).\nAnswer: -8324007696*h**2 - 638652*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3035 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54488745 to the power of 1\/3, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cczcczcz.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 7 = 2. Let o be b*(1 + (2 - 2)). Is -3 - (-1 + 21*o) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -14 + (21 + 163 - 60)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 353*y**3 - 329 wrt y?\nAnswer: 1059*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 542, 548, 556, 566, 578?\n\"Answer: y**2 + 3*y + 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2722.75479 nanoseconds to weeks.\nAnswer: 0.000000000004501909375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25, -1, -1\/7, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 13. Let p = -154 + n. Let g = p + 110. What is the smallest value in -0.2, g, -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 8*x - 21. Let n be i(-10). Let h = -9.2 + 14. Let r = h - 5. Which is the closest to n? (a) -7 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 70, 60, 36, -8, -78, -180?\n\"Answer: -u**3 - u**2 + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 488\/(-48) - -1*(-17)\/(-102)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (10 + -25)) + (3 - (2 - 3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**5 - 2*z**4 + 2*z**4 + (3*z - 2*z + z)*(4*z**4 + 2*z**2 - 2*z**2) + (2*z**4 + 4*z**3 - 4*z**3)*(2*z - 2 + 2).\nAnswer: 16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + a = -6, -g = -0*g - 5*a - 18. Calculate the common denominator of (-2)\/g - 57\/10 and 58\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - 5. Let z = q + 27.9932. Round z to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 185555577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 j when four letters picked without replacement from jwkjjjjxkojkjjjjjxoj.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 55041644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 6:19 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.83 + -1.03. What is the nearest to 1\/4 in -4, 66, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 60*a**3 + 11*a**2 - 16*a + 28. Is h(5) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 8642.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560346071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/468 and 83\/78.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -24 (b) -2\/315 (c) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 468.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.909256 to 1 decimal place.\nAnswer: -27.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5425023 nanometers in kilometers?\nAnswer: 0.0000000000005425023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 204309?\nAnswer: 1634472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - 29*b**2 + b**3 - 221415 + 221451 to f*b**3 + h*b + u + i*b**2 and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 + 3*g**2 - 2. Suppose -78 = -216*k + 106 + 32. Calculate z(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 5) to base 12\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 29\/(-9) - (-4)\/18. Let k be (-4 - -2 - j)\/1. Let i(q) = 5*q + q - 3*q. Give i(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*b - 44*b + 83*b to the form k*b + d and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 5*y = 11*g - 430, 4*y = 4*g - 1800. Calculate the greatest common divisor of 130 and g.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 5:09 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12*93315\nAnswer: -1119780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or -36?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = -f + 2448. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141101 (base 7) in base 13?\nAnswer: c27b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a252a (base 15) to base 11.\nAnswer: 37a05a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {b: 4, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1)*u)**(1\/3)\/(u*u**(-2\/3)*u*u)**(-9\/10) assuming u is positive.\nAnswer: u**(73\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 27*q - 6*q - 12*q + 65*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 608677?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(21))\/sqrt(7))**2 - ((sqrt(27))**2 + -4)) + 1 + -5 + (sqrt(24)\/sqrt(72))\/sqrt(4))*-1.\nAnswer: -sqrt(3)\/6 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 672178015 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 162\/(-10) - (-2)\/10. Let k be x\/48*3\/(-2). Which is the third smallest value? (a) k (b) 1\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((2\/1)\/(-6)). Let b = -0.418 - 180.582. Let i = b + 176. Sort g, -3\/4, i.\nAnswer: i, g, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25057, -50114, -75171?\n\"Answer: -25057*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 14.2, -2\/7, 1, 0.4 in ascending order.\nAnswer: -2\/7, 0, 0.4, 1, 14.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**4 + 3*f**3 + 12642*f**2 - 421115*f wrt f.\nAnswer: 36*f**2 + 18*f + 25284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 464*r**3 + 64*r**2 wrt r?\nAnswer: 2784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 + 5*k**2 - 3*k - 26*k**2 + 9*k**2 + 10*k**2 + 2 to the form n + y*k**3 + c*k + a*k**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 18. Let a be 6\/(-1) + l\/(-1). Let u(r) = r**2 + 4*r + 1. Let j be u(-4). Put -0.2, j, a in increasing order.\nAnswer: a, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 144923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 12:24 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0203 - -213.0203. Let j = -212 + h. Which is the nearest to j? (a) -3\/10 (b) 1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3*x = -27, 0 = 413*m - 412*m - 5*x - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -37*n**3 - 109*n**2 + 7*n - 8. Determine z(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 71*a - 70*a + 274*a**2 - 2 - 3422*a**2. Let r be v(2). Let b = r + -4608. What is b rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1643 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -10 - 2, -5*t + 320 = -2*r. Let g = r + 197. Sort -2, 4, g, 1.\nAnswer: -2, 1, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 6) to base 14\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-48)*(-14)\/21. Which is the closest to 9? (a) 1\/10 (b) w (c) -3 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27785356 - -44169095. Suppose 5*s = -3*g - p - 6616261, -18400000 = 4*s - 3*g. What is s rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-101 + 102)*(1 - (-1 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21365 or 21338?\nAnswer: 21338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*4051.27.\nAnswer: -105333.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -194 - 3b?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (9 - -10)) + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29732 - -75532. Suppose 0 = -131*b + 126*b - l. What is b rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from eveve?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703*v = 694*v + 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*t = 106917 + 90031 + 34808. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*x + 7, 4*x + 1 - 3 = -2*p. Let j be -8*(x - 3)\/(8\/(-4)). Calculate the common denominator of 5\/16 and (-919)\/(-650) + j\/130.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**5 + 4*n**5 + 0*n**5)*(-2 + 0 + 1).\nAnswer: -9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cacm when four letters picked without replacement from {m: 1, c: 3, p: 1, q: 4, a: 2, r: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 1 + 6 + 4*g. Let c(p) = -5*p - 4. Suppose -23*a - 28 = 110. Give a*d(k) - 7*c(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/20)\/(171\/(-570)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**4\/4 - 11*h**2\/2 + 4*h + 8. Let s(o) = o - 1. Let x(w) = -f(w) - 4*s(w). Find the second derivative of x(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -1 - 8\/9*i + 16\/9*i**2 + 2\/3*i**3. Solve w(y) = 0 for y.\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15.763 and 0.1.\nAnswer: 15.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 u when three letters picked without replacement from {q: 11, u: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 3*f**2 - 8*f**4 + 3*f**4 + (3*f**3 - 6*f**3 - 2*f**3)*(3 + 2*f - 3).\nAnswer: -15*f**4 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - ((50 - 18) + -15 - 8).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -24 + 8 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000956 to five dps.\nAnswer: -0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from wffvf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**9)**(-2\/63)*(o*o**(-1)*o)**(-1\/59) assuming o is positive.\nAnswer: o**(-125\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.867936 litres to millilitres.\nAnswer: 867.936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*c = 12, 5*p - 4*c = 2*p - 25. Let u = p + 13. Suppose 2*j = 5*z + 23, -z - u*z + 24 = 3*j. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*(x**(-2\/9)*x)\/x*x))**(-23\/2)\/(x\/x**(-1))**(-1\/37)*((x**(-3)*x)\/(x**(-8\/3)\/x*x))**(-11\/9) assuming x is positive.\nAnswer: x**(16351\/1998)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 101 - 298 - 5*t + 100.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1143205 (base 6) to base 11.\nAnswer: 41376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-197.858758754\nAnswer: -198.158758754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4245 to the nearest one hundred.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-168)\/16905*65\/(-26)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 19*n - 11. Let b(p) = -p + 1. What is -2*a(j) - 22*b(j)?\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 0.12521?\nAnswer: -2.12521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 + 72*y**2 - 4758*y + 66248.\nAnswer: (y - 26)**2*(y + 196)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 161121*s + 805495. What is y(-5)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 814, 2825, 6742, 13201?\nAnswer: 22838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.182 - -14.818. Which is the second smallest value? (a) -0.3 (b) i (c) -11 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -17*p**8\/14 - p**7\/42 + 3*p**4\/2 - 363*p. Find the third derivative of w(r) wrt r.\nAnswer: -8160*r**3 - 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17\/21 - -2\/3. Let i(j) = j**2 - 20*j + 19. Suppose -5*g + 2*s + 91 = 0, 5*g - 5*s + 47 = 132. Let t be i(g). What is the closest to t in n, 1\/3, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/42*-7)\/((-4)\/((-40)\/35))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*20*295\/(-472) + 1 - (-52)\/(-13)?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 54*z - 1. Let l(i) = -2*i**2 - 3*i**2 + 7*i**2 + 5*i**2. Give b(l(h)).\nAnswer: 378*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**4 - 5*n**4 + n**4 + (2 - 3 - 1)*(7*n**4 - n**4 - 3*n**4) + 2*n**4 - n**2 + n**2 as j + q*n + y*n**2 + f*n**4 + t*n**3 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*c**2 - 62*c**2 + 1 + 30*c**2 + 13*c + (2*c + 3 - 3)*(-c + 2*c - 2*c) as f + s*c + h*c**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -5*sqrt(396) + sqrt(396))*6)**2.\nAnswer: 3456*sqrt(11) + 228240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 418 and 44.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3084 is divided by 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 4:35 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2106352 by 44816.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 5*l - 88, -1505*l + 1476*l + 89 = -r for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-10) + 14\/4. Suppose 24 = 5*d + q, -5*d + 11 = -3*q + z. Suppose d*a + a = -4*l + 6118, 4*a = -5*l + 4889. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.02 (b) 6\/5 (c) -2 (d) -21 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 5:02 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3708, 3212, 2720, 2238, 1772, 1328?\nAnswer: 912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 15 + -2 - (336 + -335)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 309*d**2*x**2 + d**2*x + 52*d wrt x.\nAnswer: 618*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24900094.3152 + 0.5.\nAnswer: 24900094.8152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -7. Let r = 5 - 8. Let d = -0.26 - -0.06. What is the biggest value in d, r, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 107 - 28 = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - r - 7, 0 = 62*r - 67*r - 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.00972805 + 0.00959. What is z rounded to six decimal places?\nAnswer: -0.000138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9*w**2 - 2*w - 4. Determine v(4).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -3 in descending order.\nAnswer: 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 9:36 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v\/(v\/(v*v**(-20)))*v*v)\/(v*v\/(v*v*(v*(v\/(v\/(v\/(v\/(v*v**(-6\/13)*v)))))\/v)\/v*v*v))*(v\/v**10)**(-33) assuming v is positive.\nAnswer: v**(3712\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 79 = 23. Suppose 3*g - y = -3*h, 4*g + 4*h - 166 = -g. Let r(x) = -x**3 + x**2 + x + 5. Let o be r(0). Solve -o*b - 5 = -g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -3\/80 (c) 5 (d) 4 (e) -1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-88) - 90\/(-11). Suppose 3*g - p*g + 10 = 0. Factor g*s**2 + 3*s**2 + 98 - 88 + 15*s.\nAnswer: 5*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 132, -6 in ascending order.\nAnswer: -6, 2, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180518 by 131.\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 386 and 386.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 14 = -2*n + 2*f, -2 = -2*f. Let d be (-8)\/(-5)*(-2)\/4. Which is the closest to 1\/4? (a) d (b) n (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 4:16 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 6*w + 171 = 0, 27*f = 26*f + 17*w - 19 for f.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -558937.647 + 0.3.\nAnswer: -558937.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by -42999?\nAnswer: -56\/42999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 4:26 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 47*b = -88*b + 42*b + 17, 3*d = 2*b + 28 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.13 (c) 1.5 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 2*i**2 + 63*i + 6. What is x(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10405\/2 - (-240)\/96?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130049111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3457643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 475333 and 229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 4*p - 8. Let u be s(4). Let x be 2*-1 - (5 + u)*1. Which is the closest to 1? (a) -1\/5 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6421 - -6423. Solve 8*k + 6 + b = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24397.999998065 + 24398. What is v rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjdjdsjjysdb. What is prob of sequence byss?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z**4 - z**2 + 2 - z**3 - z**2 + 0 - 5*z**4 to h*z + w*z**4 + c*z**2 + q*z**3 + l and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, -9 in descending order.\nAnswer: 9, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14334?\nAnswer: 2, 3, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 24 = -4*f. Suppose -5*p = -13 - 12. Suppose -f = n - p*n. Is -1 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 1 - 2 + 2*c)*(0*c - c + 7*c).\nAnswer: 18*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*35461.6.\nAnswer: 4255.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*s + 2. Let t be 3 - (185\/(-65) + (-6)\/39). Suppose 0 = t*p - 0 + 24. Put -5, p, s in decreasing order.\nAnswer: s, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -4)*((-18)\/(-14))\/(-9)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/14 + -5 + (-4)\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 5:02 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415412 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: Suppose -r = -0*r + 5, 0 = 4*c + r - 147. Factor -38 - 17*s**2 - 4*s**5 - 16*s**4 - 24*s**3 - 4*s + c + s**2.\nAnswer: -4*s*(s + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 19. Let g(f) = f + w*f - 4*f. Let n(z) = z - 2*z - z. Give n(g(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2826\/5 + 564. Which is the closest to m? (a) -2\/17 (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22 - 513e3?\nAnswer: -513c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 4*l**2 - 3*l. Let m be z(-3). Suppose m*a - 10 = -2*a. Suppose 0 = -w + 3, a*s - 88 = -0*w - w. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2 + 5*w**2 + 77*w**3 - 3748889*w + 3748889*w. Let l(p) = 38*p**3 + 3*p**2 + 1. Determine 3*c(z) - 5*l(z).\nAnswer: 41*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383*x + r = -381*x - 4, 12 = -3*x - 3*r. Solve x = -46*s + 52*s - 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.25 equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + j + 39 = -7*p, -3*p - 4*j = -145. Let l be (26*1)\/((-4)\/6). Let w = p + l. Solve 0 = -2*a - 5*c + 13, -5*a + w*c = 5*c - 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/457875 and 68\/8547.\nAnswer: 3205125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z**3\/3 + 5441952*z**2 + 9329056*z\/3 = 0. What is z?\nAnswer: -1166132, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 104, 17\/8, 2, -2?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 772381.4 rounded to the nearest 10000?\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3029, 6036, 9035, 12032, 15033, 18044, 21071, 24120?\nAnswer: 27197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 1050552500707?\nAnswer: 1050552500706.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 140 = -48. Let j(c) = -4*c - 8. Calculate the remainder when w is divided by j(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*v - 3321*v**2 - 3302*v**2 - 3319*v**2 - 80*v + 9967*v**2 to m*v**2 + d + o*v and give o.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2856 by 952.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cf - -1?\nAnswer: d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-4))\/(3\/(-492)). Suppose -13*y + 20*y + 168 = 0. Let o = k + y. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u - 3*u. Let n be u - ((-1 - -3) + -2). Suppose 0 = -6*c - n*c + 1602. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -40, -1, 1\/5, -2, 0.3, -0.03?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*l - 35 = 3, 68 = 4*m - 4*l. Solve 0 = -3*w - w - m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-4 - -1) + 67. Suppose 0*i + q = 2*i. Let w be (-25)\/(-7) + 9\/21. What is the highest common factor of w and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*q + 46 = 2*q, 3*q = z - 67. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3591 divided by 7\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 139. What is the remainder when (-316)\/7*-2 - (-34)\/z is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 0*k**2 + k**2)*(0*k**2 - 4*k**2 - 5*k**2) - 19*k**4 - 17*k**4 - 1 + 30*k**4.\nAnswer: 3*k**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-30) + 4\/3. Let t(j) = 7 + j**2 + 21*j - 4*j + 2*j**a. What is the lowest common multiple of t(-7) and 1?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -770, -1620, -2474, -3332?\n\"Answer: -2*o**2 - 844*o + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/324 + 508*(-135)\/1296\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/39 and -31\/26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357217.\nAnswer: 7, 51031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 14015 and 14049 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -1\/42*m**4 + 4*m + 1\/7*m**2 + 0 - 1\/70*m**5 + 1\/21*m**3. Let f(c) = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 19*t - 24 = -277 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87677109?\nAnswer: 3, 13, 17, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -670 + 23?\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66405*j - 66280*j = -3875 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from manalnlknkllknkn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -30013235?\nAnswer: -30013243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (5 - 9 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4166250296 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 - 10220303221?\nAnswer: -10220310032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uohgho. Give prob of picking 2 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 147*u**2 - 279*u - 1604. Determine d(145).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-46)\/(-115))\/(2\/10). What is the derivative of -299*k + 25 - z*k**4 + 299*k + 27 wrt k?\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*k**3 - 14*k**3 + 4*k**4 - 13*k**4 - 2*k + 2 + 23*k**3 to r + m*k + s*k**4 + t*k**2 + d*k**3 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144864, 144760, 144584, 144336?\nAnswer: 144016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3992 + 340?\nAnswer: 4112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:13 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 8*t**2 + 880*t - 3547. Calculate k(4).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 10101012222200?\nAnswer: 10101012222112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -699*m - 309*m + 410*m - 601*m in the form t*m + y and give t.\nAnswer: -1199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -76827\nAnswer: 307308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1022453345 from 0.4.\nAnswer: -1022453344.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3261617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220221112022222 + 2?\nAnswer: 1220221112100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-14) + 31\/7. Let z = x - 3. Find the first derivative of -c**2 + 3*c**3 - z + c**2 + 0*c**2 wrt c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 2*z**3\/3 + 37*z**2\/2 + 21*z - 20. Let w be t(-18). Solve -4*i - 5*k = -2, -w*i + k - 2*k + 7 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(2*(-2)\/4). Let u(v) = -v**2 + 19*v - 11. Is u(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1585240 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45132 or -45658?\nAnswer: -45658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 47*z + 121. Let l(k) = 6*k**2 - 10*k. What is r(l(g))?\nAnswer: 282*g**2 - 470*g + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-12))\/(((-3)\/24)\/1). Let k(d) = -d + 2. Let j be k(r). Suppose -2*i + 8 = 0, -2*t - 3*i + 5 = 3. Put 7, j, t in descending order.\nAnswer: 7, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14737.9 * -1168.\nAnswer: 17213867.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 2*o - 10. Suppose 5*l - 25584 = -o*p + 14436, 2*p - 8 = 0. Round l to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 211376 - 211375.99915021. What is h rounded to 5 dps?\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - -38 - (-1 - (-4 + 5) - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 8*m - 1. Let g(s) = 3*s. Calculate 7*g(p) - 2*v(p).\nAnswer: 2*p**2 + 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*x - 12422700000 = 137*x. Round x to the nearest 1000000.\nAnswer: 116000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39051041?\nAnswer: 31, 61, 107, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**4 - 194*c**3*v**3 - 7*c**3*v - 5*c**2*v**3 + 4711*v**3 wrt c.\nAnswer: -96*c - 1164*v**3 - 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 29 - 17, 0 = -3*s + 2*q + 21. Suppose 3212 = 4*x + 5*o, -s*x + 1606 = -7*x - 5*o. What are the prime factors of x?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212222 (base 5) in base 7?\nAnswer: 26645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 c when three letters picked without replacement from {h: 7, c: 6}?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 252 + -253. Which is the nearest to 2? (a) -5 (b) k (c) 12 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -679*s + 653*s + 1222. What is the highest common divisor of 235 and s?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.5932 * -1.87.\nAnswer: 68.429284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 8.1, 4, 0.5, -8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6864*j - 20512. Determine v(-3).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 - 199 = -97*y + 142 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k - k + 136*k**2 - 220 + 332 - 4*k. Let n(m) = 135*m**2 - 4*m + 113. Let v(i) = -3*n(i) + 4*p(i). What is the first derivative of v(y) wrt y?\nAnswer: 278*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-128)*2376\/(-891).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13979234+-756106.9\nAnswer: -14735340.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79.4 + 79. What is the nearest to 42 in 5, 4, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -194 - -199. Suppose -5*r = -2*i - 1144 - 127, 5*r = f*i + 1265. Is r a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -g + 19. Suppose -43 = -g*q - u + 119, 4*q - u = 216. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42\/25117 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**3 - 22*u**2 + 5*u + 107. Let q(w) = -2*w**3 - 11*w**2 + 3*w + 53. Let i(c) = 6*a(c) - 11*q(c). What is the units digit of i(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490573 = 40*i - 335478 + 174411. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -31, -65, -133, -247, -419?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -369 (b) 0.12 (c) 3 (d) -1\/431\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yttytliytytnyttl. Give prob of sequence ly.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 278082 and 370776?\nAnswer: 1112328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - -2587. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by 12.\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**5 + 517*k**3 - 22*k**2 - 13*k wrt k.\nAnswer: -180*k**2 + 3102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -75928, -75740, -75552, -75364, -75176, -74988?\n\"Answer: 188*y - 76116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**2 + 21*p + 85. Give s(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1256.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -x + 1523, 238*h = 4*x + 240*h - 6132. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + y + 16, y + 30 = 2*p + 6*y. Calculate the greatest common divisor of 160 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2709492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(104)*-4*-5 + sqrt(104))\/sqrt(8).\nAnswer: 2 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/361 (b) 3 (c) -5 (d) -7 (e) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 200, 270, 340, 410, 480, 550?\n\"Answer: 70*z + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/2 - 48081*k - 20853444.\nAnswer: 3*(k - 32482)*(k + 428)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149022?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 64 = 4*i. Let v be 1*i\/9*3. What is the least common multiple of v\/(-14) + 60\/35 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7138 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 5. Let y be (-4)\/(0 + 4) - -4. Suppose -2*w - 28 = -y*v + r, -2*v = -4*w - 14. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5138, 1, -5\/58.\nAnswer: -2, -5\/58, 1, 5138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 19\nAnswer: -28\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3769 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 10.1?\nAnswer: 2.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1487738 and 88445?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 31*c + 32*c = -921297, 2*w + 3*c = -614191. What is w rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) + 9\/6. Suppose 4*z + 2774 = 2*g, 12 = -r*z - z. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -122, -241, -360, -479, -598?\n\"Answer: -119*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1747480434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, 0.41, -456, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-63)*7*1. Solve 13*j - b - g = 12*j, -2*b - 7 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2871*m - 23744 - 7028 - 27548 = 441*m for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 12*j + 11. Does 10 divide g(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*r = -1015, 2*o - 3*r - 121 = 554. What is the lowest common multiple of 396 and o?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen quarters of a millennium?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + k**3 + 2*k**2 + (-k + 2*k + 0*k)*(-2*k**2 - 3*k**2 + 4*k**2) + 0*k**3 - 9*k**3 - 3*k**3.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**6 - 26*x**5\/35 - 19*x**4\/14 + 26*x**3\/21 - 2*x**2\/7 + 58. Solve i(o) = 0.\nAnswer: -1, 0, 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 18*t**2 - 156 + 54 + 21*t**2 + 48.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o**2 + 11*o**2 - 6*o**2 - o**2 - 1 + 1 + (o - 1 + 1)*(0*o - o + 0*o) - 2*o**2 - 5*o**2 + 5*o**2 + 0 + 0 - 2*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.72 - 5.8. Let j = -2.90815 + f. What is j rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -1213203322332?\nAnswer: -1213203323003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2934737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 54, 79, 142, 261, 454, 739, 1134?\n\"Answer: 3*m**3 + m**2 + m + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhphhphhpphp. Give prob of sequence pppp.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 6, 439, 4, 5, -6, 2 in descending order.\nAnswer: 439, 17, 6, 5, 4, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + sqrt(567)*-1*-3 + sqrt(567))\/(sqrt(99)\/(-4*sqrt(11))))**2 + -2 + 0.\nAnswer: 25198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -22*u + 200. Let h be x(9). Which is the smallest value? (a) 0.1 (b) h (c) 2\/17 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(170)*-2 + sqrt(170) - sqrt(170))*-3)\/(sqrt(360)*-1) + -1.\nAnswer: -sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09584105 * 25.\nAnswer: -2.39602625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 5. Let n(g) = g**4 - g**3 + g + 1. Let k(f) = 9*f**4 - 5*f**3 + 5*f + 2. Let t(b) = y*k(b) + 5*n(b). Find the first derivative of t(x) wrt x.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/5)*c)\/(c**(2\/135)\/c)*(c*c*c**(-15)*c*c)**30 assuming c is positive.\nAnswer: c**(-44309\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Let a(y) = -y + 4. Let o be a(3). Differentiate 0 - t + o + 2*s wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 501*u - 7306. What is c(13)?\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in -0.2, 36, 1, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 1 - 42. Let m = d + -44. Let g = 5.4 - 5. Which is the third biggest value? (a) g (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6*y. Solve 12 + y = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 491, 1027, 1565, 2105, 2647, 3191, 3737?\nAnswer: 4285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51212 and 0.73.\nAnswer: 51212.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 83621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027648289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -694 (base 10) to base 6.\nAnswer: -3114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1874642 and 3102?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -274.07 - -24.07. Is -1 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 1785541?\nAnswer: 1785541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 12. Is 5\/3 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*i - 115 - 27, -2*i - 2*m = -122. Let l = i - -8. Is l a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 165 + 1648?\nAnswer: 1813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -200*d**3*i**3 + 260*d**2*i**3 + 2*d**2 wrt d.\nAnswer: -1200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 12:41 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - n = 291, 0 = 99*o - 95*o - 2*n - 1170. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9220616\/265 - 389040\/53. Let v = o - 27577. Let f = v - -122. Put f, -1\/3, 28 in ascending order.\nAnswer: f, -1\/3, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2559)\/(-4))\/(2\/(-40)). List the prime factors of (s\/(-27))\/5 - (-6)\/27.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6488150?\nAnswer: 2, 5, 129763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 292*t**4 - 12*t**3 - 4*t**2 + 25*t + 7. Let h(m) = m**4 - 3*m**3 - m**2 - m. Let o(k) = 4*h(k) - i(k). What is the second derivative of o(j) wrt j?\nAnswer: -3456*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000110 + -10?\nAnswer: 1111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**19\/g*g**(2\/15) assuming g is positive.\nAnswer: g**(287\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*n - 1029 = 0, 0 = -5*k - 3*n + 1442 - 398. Suppose -k = 2*c - 5*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -40. Suppose 0 = -2*u - g*z - 41, 0*u - 4*z = -3*u - 96. Let v = u + 56. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112394374?\nAnswer: 2, 5233, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -2)\/((-1)\/7). Suppose s*h - 2*h - 210 = 0. Suppose 5*p = 423 + h. List the prime factors of p.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 5*s + 4. Let p be r(5). Suppose -k + 3*d = -2*d - 12, -d - 10 = -p*k. Solve k*n + 2*f + 4 + 4 = 0, -16 = -2*n + 4*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*b + 6, -5*b + 7 = -3*o - 8. Let d = -31 - -33. Calculate the remainder when b is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 - (-3 + 8 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 464409082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o**(-1\/11)*o)\/o)*o**(-1\/3)\/o)\/(o\/((o\/(o**(-1\/7)*o*o))\/o)*o*o*o**(-10)) assuming o is positive.\nAnswer: o**(901\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180816 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 358 - 367. Let h be (-3)\/(v\/186) - -2. What is the greatest common factor of 176 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 2*m - 2. Let o be (-1)\/1 - (1 + 3). Is y(o) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 2118*o**2 - 40928*o - 38808.\nAnswer: 2*(o - 1078)*(o + 1)*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 330*w**3 + 150*w**2 - 328*w**3 - 849*w**2 - 183*w**2.\nAnswer: 2*w**2*(w - 441)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8 = -4*h, 0*h - 4*h = 2*y - 24. Find the third derivative of -4*m**5 + 95*m**2 + 2*m**5 + y - 64*m**6 + 2*m**5 - 70*m**2 wrt m.\nAnswer: -7680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -207.514 - 0.486. Let s = l + 304. Let m = -96.0073 + s. What is m rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14541907.\nAnswer: 59, 246473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 - 0.19. Let u = 0.09 + q. What is the nearest to u in 4, 1\/5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -187429 * -0.0647\nAnswer: 12126.6563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/89 + 61\/3471. Let g = 0.201 + -0.001. Sort 0.3, g, 1, c in decreasing order.\nAnswer: 1, 0.3, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 407*x**2 - 8*x. Let g(a) = 2035*a**2 - 44*a. Determine 4*g(d) - 22*o(d).\nAnswer: -814*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -2 - -4 - 13) + 7 + -9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.2 + -3. Let i = -119\/10 - -23\/2. What is the third smallest value in 0.3, i, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 17 = s - 4*x, -s + x - 4 = 0. Let q be 5\/5*(4 + s). Suppose 41 = q*t - 10. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32879152 divided by -4\nAnswer: -8219788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10203 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 7 + (-3 - -12) + -14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9 - 62112\/(-72) - (-2)\/6.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*y = 37*y + 5*w - 316, w - 332 = -y. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1547361 or 1547358?\nAnswer: 1547358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(405) + 2 - (-1 + sqrt(405) + -4))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 7*u = -4*z - 12, 5*z + 15 = -3*u. Let o(i) = -3 + 3*i + u*i + 2*i. Calculate the least common multiple of o(5) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6082554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2271 is divided by 450.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.03883 times -87\nAnswer: 3.37821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304 and 665.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -13*m**3 - 2*m**2 - 2*m - 1. Let r be z(-1). What is the greatest common factor of 108 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5707 not equal to 5707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - r**2 - 3*r - 1. Let d be m(-1). Suppose 4*l - 2*l - 16 = -a, l - d = 0. Which is smaller: a or 39\/4?\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 2274*h + 1157*h + 1117*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*j + 102*j + 657*j = -65246 for j.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287631 is divided by 549?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 231.3 minus -0.3?\nAnswer: 231.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 - 1. Let u = -11 + 15. What is the closest to t in -2, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1200) + (sqrt(1200)*-1*1 - sqrt(1200)) - sqrt(1200)) + sqrt(1200))*6)\/((sqrt(100)*-2*-6 + sqrt(100))*6).\nAnswer: -2*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34837*c + 31625.\nAnswer: 34837","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28600309?\nAnswer: 59, 484751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -220691 + 1103459\/5. Suppose -84\/5*o**3 - v*o**2 + 36*o**4 + 4\/5*o + 0 = 0. What is o?\nAnswer: -1\/5, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 9:20 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -2\/8837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**2 + 248*r**2 - 36*r**2 - 201*r**2 - 29*r**2.\nAnswer: -38*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -330 or -1973\/6?\nAnswer: -1973\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/31)*c\/c**(-19) assuming c is positive.\nAnswer: c**(618\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/28 + (-50)\/(-8). Suppose 0 = -m*j + j. Suppose 4*d - 2*a + 10 = j, 0*d - d - 2*a + 10 = 0. Is 1\/8 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26452?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 17 - 2*g**2 + 0*g**3 - 16 + (-g**2 + g**2 + 3*g**2)*(-1 + 1 - 3*g).\nAnswer: -10*g**3 - 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 608704?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i. Let o(s) = -4*s + 1643143. Determine o(q(w)).\nAnswer: 28*w + 1643143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 17834*h - 17835. Calculate r(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17617661 - -130369?\nAnswer: -17487292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 8*l + 3*f, -11*f - 4 = 5*l - 18*f + 10*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 + 5\/(-10). Suppose 11*l - 6*l - 20 = r. Solve 2*k - 3*k + 4*c + l = 0, 0 = -2*k - c + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.077562088 to five decimal places.\nAnswer: 0.07756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -282, -463, -670, -903, -1162, -1447?\nAnswer: -1758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1781829473?\nAnswer: 677, 2631949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*h - 25*h - 29*h)*((0 + 0 - 1)*(-14*h + 25*h - 31*h) + 2 - 2 - 2*h).\nAnswer: -594*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + 1 + sqrt(242) - (sqrt(128)*1)**2 - (sqrt(18) + 0 + 1).\nAnswer: -128 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 47*q + 14. Let g(n) = -142*n - 42. Let z(k) = 3*g(k) + 8*m(k). Let y(t) = -33*t - 9. Let d(f) = 8*y(f) - 5*z(f). Differentiate d(s) wrt s.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 75, 105, 133?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 44950*l - 1583. List the prime factors of o(1).\nAnswer: 17, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 1. Let t(g) be the first derivative of 3*g**2 + 5*g + 46. Let y = -1194 - -1199. What is y*b(i) - t(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*p + 49*p - 42 - 504 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 3*q**2 - 7*q**2)*(-4*q + 3*q - q) - q - 13 + 4 + 9*q**3 + 5.\nAnswer: 13*q**3 - q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -27*x**3 - 486*x**2 - 127. What is f(-18)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 0*h. Let x(c) = 0 + 2*c**2 - 2 + c**2 - c**3 + 3*c + h*c**3. Calculate x(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21285783 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 7*b + 11. Let a be c(8). Suppose -4*n = -s + 18, -a*n = s + 4 + 6. Sort -3, -2, s in ascending order.\nAnswer: -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 14 = -1. Let o be 10\/c + 5\/3. Is -6\/31 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 11:45 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 249*t - 4. Let x(d) = 249*d - 6. Let j(m) = -3*r(m) + 2*x(m). Let u(f) = -2*f. Determine j(u(a)).\nAnswer: 498*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.72 + -525.28. Let b = 533.71 + g. What is b rounded to one decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q + 7*q - 11*q + 4*q.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jozhjhzhjwj. What is prob of picking 1 o and 3 h?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 6*s - 1. Let o(g) = -g**2 + 5*g - 1. Suppose -4*x + 2*x - 2 = 2*z, -2*x = -3*z - 23. Let f be (12\/24)\/((-1)\/10). Determine f*o(d) + x*n(d).\nAnswer: d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 310 - -554. Let t = d + -69986\/81. Is 1 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 7*l**2 - 6*l + 8. Let i be x(-8). Let n(o) = o - 1. Let a(k) = 7*k + 1. Let f(g) = -a(g) + n(g). What is the tens digit of f(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9768206411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**5\/60 - 3*m**4\/8 - 2*m**3\/3 + 4*m**2. Let j be r(-4). What is j rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(-5)\/m*m))\/m*m**16 assuming m is positive.\nAnswer: m**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-93)\/(-155))\/(189\/(-30)). What is the closest to -3 in -3\/4, d, -0.11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*d - w, -w = -3*d - 16. Let c(b) = -b**3 - 5*b**2 - 2*b + 3. Suppose 4*u = 4*m + 28, -3*u + 3 = 3*m + 2*u. Let s be c(m). Is s bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c = -5*x + 112, 5*x - 2*c - 117 = 0. Let b = x - 18. Calculate the remainder when 9 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2577 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3011119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*t = -t - 1, 4*t + 18 = -3*z. Let m be 6\/z + 0\/(-6). Let d(a) = -a**3 + a**2 - 3*a - 4. Does 14 divide d(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1881*b**3 + 47*b**2 - 1879*b**3 - 8*b**2 + 9*b**2.\nAnswer: 2*b**3 + 48*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w. Let n be (-19)\/(-7) - 4\/(-14). Let p(d) = d + 17. Let y be p(-15). Let z(l) = 3*l + y*l**2 - 6*l + n*l. Calculate z(j(g)).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*x**2 + 43 - 64 + 24.\nAnswer: 77*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 436864462 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**5 + 75*m**4 - 315*m**3 + 245*m**2 = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*t + 108*t - 11153 = -547*t for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (17 + -61)) + -68\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 - 62*r - 20. Let y be o(21). Let p(l) = -l**2 + 1. Let x(s) = -2*s**3 + 2*s**2 - 2. What is y*x(z) + 2*p(z)?\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2666.547kg?\nAnswer: 2666547000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*1*sqrt(15) - 2*sqrt(540)))\/(4*(sqrt(500) + -2*(sqrt(500)*-1 + sqrt(500)))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 219 + -218. What is the closest to j in -30, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (4 - 270\/72)*-4 + 100.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 27*o + 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(475))*-4 + 5 + 5*3*sqrt(475) + -3 + (-3*sqrt(475))**2)*5.\nAnswer: 275*sqrt(19) + 21485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.941 + -42.128. Let j = -59 - m. Round j to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 26 = -2*b - d, 15*b + 3*d + 39 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 10*f**2 - 15*f - 6. Suppose -2*b = n + 21, -n - 7 = n - 3*b. What are the prime factors of x(n)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-343 + 343 - 198*n)*(-58 + 26 - 49) to the form q + h*n and give h.\nAnswer: 16038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p + 2*p**2)*(-2 + 26 - 2).\nAnswer: 44*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18701108 to the power of 1\/2, to the nearest integer?\nAnswer: 4324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 427 + -251?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8)*((f*f**(-10\/3))\/f)\/f*f*f*(f*f\/(f*(f**7*f)\/f))**36 assuming f is positive.\nAnswer: f**(-679\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-5))\/(14\/(-35)). Suppose 0 = -d + l*d - 4. Let b(t) = t**2 + 2*t - 3. Determine b(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + o - 7. Let y be n(5). Suppose 0*w - w = 5*f - y, -5*w - 25 = -3*f. Suppose -2*u + 2*k + 3 = -k, 2*u + f = -5*k. Solve r + 0*r + 5 = u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8251 - -8250.6. Let p = -5 + 9. What is the second biggest value in h, p, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.2213 to 1 dp.\nAnswer: -54.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7967 is divided by 2646?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -662 + 1196. Calculate the least common multiple of 20 and z.\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10706644 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 0 plus 12783?\nAnswer: 12783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4103787687 + -149.\nAnswer: 4103787538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -121*w + 7. Let l(i) = 249*i - 14. Calculate -2*l(a) - 5*p(a).\nAnswer: 107*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17535 + 17530. Sort 3, 0.7, b, 3\/5, 10\/3 in ascending order.\nAnswer: b, 3\/5, 0.7, 3, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11333 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08 + -3.92. Let c = z - -4.000001. Round c to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-648)\/32)\/(-27))\/(2\/24). Suppose 5*f + 5*p - 47565 = 0, -3*f + y*p - 5*p + 28567 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 4*l - 3481 + 3385 = 0 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2\/15*f**2 - 46\/15*f + 16\/5 = 0.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 9*b + 882 = 0. Let c = -148 + b. Let w(r) = -4*r + 2. Let i(x) = -x - 1. Determine c*w(o) - 3*i(o).\nAnswer: 7*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/5 - (-18)\/10) + 206. Suppose -4*f = 5*u + 168, -4*f = 2*u - 7*u + h. Are f and -47 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269816 to the power of 1\/2, to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*r = 16. Suppose -27*d + 14 = -15*d + 2. What is the closest to d in -0.07, r, -0.2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4576134617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 1:49 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2868159 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 2350481672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -64213*m - 449862. What is l(-7)?\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 5:49 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20c02 (base 13) to base 5.\nAnswer: 3343102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 3210031031?\nAnswer: 3210031030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**6\/5 + 27*o**2\/2 + 6*o. Differentiate l(c) wrt c.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 9*s + 2 - s)*((-3 + 1 + 4)*(2*s**2 - 1 + 1) + 4*s**2 + 4*s**2 - 3*s**2 + 5*s - s**2 - 5*s) in the form w*s + n*s**2 + m + r*s**3 and give r.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 2. Let o(w) = -58*w**2 - 20. Let v(p) = -o(p) + 2*t(p). What is the second derivative of v(d) wrt d?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4923 + 3098.8536?\nAnswer: 8021.8536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6 + 13*z**2 + 4 - 35 + 7*z + z**3. What are the prime factors of x(-12)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 6)\/(-4)*0 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (51\/340)\/(6\/10)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**4 - 16*v**3 - 29*v**2 - 17*v - 9. Let x(h) = -h**4 - 4*h**3 - 7*h**2 - 4*h - 2. Let c(j) = -2*m(j) + 9*x(j). Suppose c(l) = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-76)\/(-60) + 2\/(-3). Suppose 30*n - 12 = 28*n + 4*f, n + 3*f = -19. Let b be 1\/((-2 + 1)\/n)*1. Put -13, k, b in ascending order.\nAnswer: -13, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + sqrt(1584) + -5*sqrt(1584)*-1 + ((0 + sqrt(396))**2 - (5 + (sqrt(44)\/sqrt(4))**2)).\nAnswer: 84*sqrt(11) + 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -495230, -495231, -495232, -495233, -495234, -495235?\n\"Answer: -y - 495229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/4, 3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z - 2*z + (-5 - 2 + 5)*(-2*z - 2*z + 3*z) + 1 - z - 1)*(-7 - 2 + 2)*(-982 + 207 - 980 + 285).\nAnswer: -10290*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7321 - -7320.9885175. Round v to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39667799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -686*v - 237*v + 1283*v + (-3 + 1 + 4)*(2 - 2 - 2*v) + v - 2 + 2.\nAnswer: 357*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2 + 2 + 7*f. Let w(h) = -20*h. Suppose 3*i + 2*p = -62 + 36, 28 = -2*i - 4*p. What is i*w(c) - 17*s(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45374710*w**5 - 2*w**4 - 5155429*w**2 + 2?\nAnswer: -2722482600*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -165678 or -5301685\/32?\nAnswer: -5301685\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/7 (b) -2 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 6:43 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -0.5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 803231 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -129.8.\nAnswer: -259.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at least 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -342*o. Let v(h) = 2*h**2 + 5351*h. Give v(w(c)).\nAnswer: 233928*c**2 - 1830042*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 109, 102?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) -0.2 (c) 1\/627493\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 0*i**2 + 0*i**3 - 3*i + 1\/4*i**4 - 2. What is the derivative of q(x) wrt x?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127 + 129. Solve 4*v = -4*d - 4, -d - h*v + 3 - 6 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 173*l - 1037. Let s be y(6). What is the closest to 6 in -30, -0.4, -1\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 586 - 622 - (-65 - 1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, -86.44, -5.\nAnswer: -86.44, -5, -4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -34*r + 19*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -230 + 226. What is the nearest to 0.1 in 4\/15, g, -5?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8815 divided by 5?\nAnswer: 1763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 5*n**3\/3 + 65*n**2\/2 - 340*n - 101. Determine p, given that h(p) = 0.\nAnswer: -17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2d984 (base 14) to base 16\nAnswer: -1bed0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9184 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - c - 192. What is the remainder when 11 is divided by (-4)\/10 + c\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41219, 41227, 41225, 41207, 41167, 41099?\nAnswer: 40997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47 - 47244437?\nAnswer: -47244506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.852 + -2504441.\nAnswer: -2504440.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/360 and -173\/57116520?\nAnswer: 57116520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjd when three letters picked without replacement from {d: 7, i: 3, j: 4, k: 3, w: 1}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36521\/78 + -5790\/13. Find the common denominator of 121\/186 and n.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 9151266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 1 - (-14 + 22)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-5)\/(-45)) + -3. Suppose -4 = -7*h + r*h. Let k(c) = -2*c + 21. Let f be k(8). Sort h, 2, f, -1.\nAnswer: -1, 2, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006886 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nunu when four letters picked without replacement from {u: 5, n: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 + 11*o + 370. What is the least common multiple of 68 and g(16)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrxxrrrrmyyrmdxr. Give prob of sequence mrm.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/3, -0.5, 0.2 in decreasing order.\nAnswer: 20\/3, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 360*a**2*h**5 + 4*a**2*h**3 + 8959*a**2*h wrt h.\nAnswer: 7200*a**2*h**3 + 24*a**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -464 + 474 - (3 - 25).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5 + s**2 - s + s + 13*s - 3*s. Suppose -3*a - 18 = 5*q, -6*a + a - 40 = 5*q. What is the smallest common multiple of i(a) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.227 + -0.127. What is the closest to -3 in r, 3, -3, -1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000867 rounded to seven decimal places?\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 26*a**2 - 130*a - 69. Give p(19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-7 - 1 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25214, 100866, 226964, 403520, 630546, 908054?\n\"Answer: 2*a**3 + 25211*a**2 + 5*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) -491\/25 (b) 8 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5156925098?\nAnswer: 2, 13, 37, 439, 12211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(5*g + 0*g + 0*g) + g + g + 2 + 0.\nAnswer: 12*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by 43.\nAnswer: 114\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 136*h + 8. Let q be f(-10). Is 2\/(-4)*q\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 0 - 2*k - 11\/2*k**2 - 1\/3*k**3. List the prime factors of j(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 268 + -387. Let q be 1\/3 - (v\/3 - 0). Suppose -72*n = -71*n - 16. Calculate the highest common divisor of n and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26515566 is divided by 114?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 4*v - 90. Is 1 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1308101634 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.2. Let d = g + -1.1. Let y be -2 - (0 + (-20)\/15). Which is the closest to d? (a) -0.4 (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 9*n**3 + 4*n**2 + 2*n + 5. Let d(z) = -8*z**3 - 3*z**2 - z - 4. Let j(f) = -4*d(f) - 3*v(f). What is the remainder when j(1) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 4*d + 77, -4*d = -3258*w + 3263*w + 71 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 5*y - 7, 3*z - 1 - 12 = 4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*o*z**2 - 171501474*o + 30*z**3 - 54501*z**2 wrt z.\nAnswer: 8*o*z + 90*z**2 - 109002*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000015752 rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016597400 a multiple of 430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = c. Let h be (-8)\/10*c\/(-24). Which is greater: -9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c + 2*c - 2*c)*(-2*c**3 + 6*c**3 - 2*c**3)*(8 - 3 + 11) + 0 - 2*c**4 + 0 in the form w*c + v*c**2 + d*c**3 + z*c**4 + h and give z.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 - 3.5. Let u be (-5)\/20*(-4)\/(-7). Sort w, u, -2 in descending order.\nAnswer: u, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-56)\/(-21)*30\/8. Let t = a - 3. Let l = 9 - t. Solve 3*n = 5*g - 2, -l*g - 1 = -3*n - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9634.04 to the nearest ten.\nAnswer: -9630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 15. What is y(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/41112 and 131\/246672?\nAnswer: 246672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1649134124 to the nearest integer?\nAnswer: 40610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**3\/4 - 171*f**2\/4 + 237*f\/2 + 162 = 0. Calculate f.\nAnswer: -1, 4, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 4265898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11933.80028 + -11931. Let c = 17.8 - 15. Let k = c - f. What is k rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 7*j + 38 = 11*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 179662831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 1 + 1)*(6*c**2 - 2*c + 2*c) + 4 - 4 - 2*c**3 + (c**2 - 2*c + 2*c)*(39*c - 10*c + 10*c).\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*v = 1208 - 1509 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orr when three letters picked without replacement from {o: 1, p: 4, r: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -13 + 46 - 65*i + 54*i + 8*i. Give j(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 9:51 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 962 and 14.\nAnswer: 6734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0807 + -2.9193. What is the second biggest value in 1, -22, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 370*r = -365*r - 10, -5*r - 20 = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 20051*w + 11. Determine s(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 12:12 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6844900, 13689750, 20534600?\n\"Answer: 6844850*g + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*g**2*p**3 + g**2*p + 138742*g**2 - 3574*g*p wrt p?\nAnswer: -12*g**2*p**2 + g**2 - 3574*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(2 + (-9)\/6). What is the units digit of (1 - 0)*-1 - y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 84 + 60 = 0. Let o be 9\/k + 145\/40. Suppose -5*v + h = -h + 97, 5*v - o*h + 99 = 0. Which is the closest to -2\/5? (a) 0.5 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2073416273?\nAnswer: 2027, 1022899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(168) + sqrt(168) - sqrt(168)) + sqrt(168))*-2)\/((sqrt(72)*1)\/sqrt(9)))\/(2*(sqrt(252) + (sqrt(252)*-2 - sqrt(252)) + sqrt(252))*-3).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 318.579 + -318. What is o rounded to 2 decimal places?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3412156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -404 (base 6) to base 8\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 18. Let r be 1184*(2 + 484\/q). Round r to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 895.3482 years in millennia?\nAnswer: 0.8953482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 552?\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by -27\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-3))\/(8\/12))\/(-1*75\/(-1725))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 5*g - 2. Let c be b(4). Let k be (-402)\/33 + c\/11. Calculate the remainder when 25 is divided by (-3)\/(52\/k + 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.1595853 to 0 decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251568117?\nAnswer: 3, 3391, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8044*h**3 + 183778 wrt h.\nAnswer: 24132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**6\/20 - q**5\/12 + 6*q**2. Find the third derivative of g(u) wrt u.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1430992411.\nAnswer: 1430992411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/217 and 37\/1860.\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -105171*z - 5153368. Calculate n(-49).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3*sqrt(330))\/sqrt(10))\/sqrt(11) + ((sqrt(84)\/sqrt(4))\/sqrt(7) - -1*sqrt(3)*-2).\nAnswer: -4*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5487 is divided by 1755?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1504 and 122576?\nAnswer: 245152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 11*h - 35*h)*(2*h**3 - 2*h**3 + h**4) + (2*h**3 - 2*h**3 + 4*h**4)*(h + 3*h - 3*h) - 3*h**5 + h**5 + h**5.\nAnswer: -39*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1537\/5 + -307. Is i equal to 5\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/9*(-1)\/(-2)*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-3 + 3 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-16)\/128)\/(1\/(-2)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30493306?\nAnswer: 2, 461, 33073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24404 is divided by 8133.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4) + 34\/56. Let o = -72127 - -504891\/7. Factor q*a**2 + 0 + 0*a**3 - 4\/7*a - o*a**4.\nAnswer: -2*a*(a - 1)**2*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 12, -4*b - 5*h + 3 = -85. Suppose 3*f + s = 3 + 4, -5*f = -s - b. Solve 5*m + 2*k = -2 - 18, 4*k = f*m - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p - 14. Let q be m(-6). Suppose 4 - 12 = -q*c. Suppose 26 = 4*f - c*o, 6*f - 2*f - o = 23. Is 5 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2\/3 + 4324*r + 416128\/3 = 0.\nAnswer: -32, 13004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28.1964 - -0.3994. Let o = -27.1 - x. Round o to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3216 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -190*j + 318*j + 514*j in the form t + x*j and give x.\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 a factor of 19761352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((-78)\/(-156))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-50448)\/(-32) - (-1)\/(-2) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68992729?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22, -72, -178, -358, -630?\n\"Answer: -3*l**3 - 10*l**2 + l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 65 = 70*u - 63*u, 2*u = 4*l - 52 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -296*m**6 - m**4 - 10*m**3 + 11*m**2 + 16*m - 49?\nAnswer: -35520*m**3 - 24*m - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 7*m**2 - m - 8. Let f be c(-6). Let u = -19 - -3. Let k = u - f. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 u when four letters picked without replacement from {i: 5, u: 5, q: 4, z: 3, m: 2}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808 is divided by 726.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*n**5 - 43*n**3 + n**2 + 2*n - 289.\nAnswer: 2520*n**2 - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 28. Let p be (-4)\/20 - 32\/w. Solve p*s - 4 = 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3737657, 7475321, 11212985?\n\"Answer: 3737664*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 12755*a + 12286*a + 9115*a + 2368*a as f*a + b and give f.\nAnswer: 36524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l\/l**(-11)*l))**(2\/27)\/((l*l\/l**(-38)*l)\/(l\/(l*l\/(l*l**(3\/20))*l*l*l))))**(-16) assuming l is positive.\nAnswer: l**(32212\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6327 - 6322. What is the nearest to 5 in 12\/5, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7077000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -44 = -62325\/1417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 5*l + 2. Let n be d(-3). Suppose a - 588 = -n*a. Let u = a - 22. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 10 = -24 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 741373424?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(77) + sqrt(77)*3 + sqrt(77)) - 1*3*sqrt(77))\/(sqrt(110)\/((sqrt(100)\/sqrt(5))\/sqrt(2))).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 17*n + n)*(0*n - 2*n - 2*n).\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -1.4. Let t = 0.8 + m. Which is the smallest value? (a) t (b) -2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272281 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 + 41)\/((-8)\/4). Does r = -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 - 23*k**2 - 3*k - 1. Let n(v) = -5*v**2 + v. Calculate -5*n(j) - o(j).\nAnswer: -2*j**3 + 48*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (0 + (-1)\/1)\/(-560 - -561)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -5532?\nAnswer: 552b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b + 2258 = 146. Calculate the remainder when 179 is divided by (-220)\/(-66)*b\/(-5).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2 - 55*p + 1. Suppose -5*f + 0*a - 4*a = -43, a = f - 14. Let q be c(f). Let r(z) = -18*z**2 + z. What is r(q)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 7716.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219323 and 11973.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4 = -f, -13*f - 20 = -9*f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -10, 3\/5, -0.1, 2\/7 in ascending order.\nAnswer: -10, -0.1, 2\/7, 3\/5, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 88*o**3 + 45*o**2 - 104*o - 904. Let k be d(-42). What is k rounded to the nearest one hundred thousand?\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 5*v - 5. Let m = 11 + -17. Let l = m - -6. Suppose 2*h = -j - 16, -3*h - 3*j = -l*j + 30. Calculate x(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 + 1)*(d - d + 5*d) in the form j + i*d and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g**3 + 3*g**2 - g + 4. Let u(m) = 11*m**3 - 5*m**2 + m - 8. Let y = 19710 - 19705. Give y*a(z) + 3*u(z).\nAnswer: 3*z**3 - 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38607, 77222, 115837, 154452, 193067?\nAnswer: 231682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-3)*(-18)\/5. What is the derivative of 2*z - p*z + 36 + 126 - 9*z + 2*z wrt z?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ususlaasus. Give prob of picking 2 s, 1 u, and 1 l.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165, -327, -485, -639, -789?\nAnswer: -935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1167*x**4 + 24*x**2 + 2 + 1169*x**4 - 37*x**3 - 28*x**2 in the form z + w*x**4 + b*x**2 + h*x + u*x**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/17, 20, 1, -1\/9.\nAnswer: -1\/9, 2\/17, 1, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-612)\/(-6630))\/((-1)\/(240\/14)). Let n = m + 8993\/910. Calculate the common denominator of n and -79\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 4. Let q be 3 - 4 - -5*m. Solve y + 2 = f, -2*f + f - q = 2*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 1365225\nAnswer: 546090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9981.\nAnswer: 3, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 5*n**2 - 2*n - 3. Suppose 13 = -5*y + 2*p - 16, -3*p = 4*y + 14. What is the remainder when h(y) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120032641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 25 = 5*u, -3*u + 25 = -8*u + 3*t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*b - 8 = 0, r + 3*b + 6 = 4*r. Suppose 4*g - 2*g = 4, 4*g = r*d. Calculate the highest common factor of d and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3 = 2. Let o(n) = -n**2 - 1. Suppose 23 = 3*q + 5*t, -2*q + 3*q + 4*t - 10 = 0. Let r(x) = -5*x**2 + x - 7. Determine p*r(g) + q*o(g).\nAnswer: -g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(160) + 1*sqrt(48)\/sqrt(8))\/((sqrt(33)*-4)\/sqrt(11) - (sqrt(126)\/sqrt(6))\/sqrt(7)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1092*i**3*q**2 - 1089*i**2*q**2 wrt i?\nAnswer: 6552*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.8 - -8.8. Let v = k - -9. Let l = 992\/7 - 142. Which is the nearest to v? (a) -4 (b) -0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 7*q + 8*q + 101, -4*r + 103 = -3*q. Solve -29*h = -r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -801 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299896 = 5*j - 2*d, -17*j = -15*j - d - 119959. What are the prime factors of j?\nAnswer: 2, 29989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n + 2*n - 2*n)*(4 - 4 + 1).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, -5, -3, 3, 4, -13 in descending order.\nAnswer: 46, 4, 3, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -30 (b) 7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12))\/((-15)\/(-9))*2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 7*k**2 + 10*k + 5. Give r(4).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493828.\nAnswer: 2, 123457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3152 and 2084912.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 21*o = 10*o + 16*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*a**3*b + 912*a**3 + 3138*a**2*b**2 + 1702*a*b**2 - 85666 wrt a.\nAnswer: -66*a*b + 5472*a + 6276*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 9 - (-47 + 55)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110111001010000101100011 + 1?\nAnswer: 1000110111001010000101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - a = 46, -2*y + a + 34 = -3*a. Suppose 0 = 25*q - 32*q + 1400. What is the highest common divisor of y and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -789 - -786. Let r(m) be the second derivative of m**3\/3 + m. Let y be r(-2). Sort y, z, -1 in ascending order.\nAnswer: y, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(2\/7))\/(h\/(h*h\/(h*h**(-2\/7)))*h))**18)**(-14) assuming h is positive.\nAnswer: h**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-14)\/(-16) + -1). Suppose -8 = 4*g - y*g. What is the second derivative of 2*i + 1 - 1 + g*i**2 + 3*i**2 wrt i?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93204*a + 93204*a - 3*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7624159.\nAnswer: 911, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1886405\/7 - 269489. Let y be ((-1)\/3)\/(-2 - -1). What is the third biggest value in y, u, -2\/19?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29324475 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffffffffffffh. Give prob of sequence ff.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1807, -3618, -5429, -7240, -9051, -10862?\n\"Answer: -1811*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 - 2.4. Which is the second biggest value? (a) 1\/9 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123*v**3*z**3 - 2*v**3*z**2 - 2*v**2 + 9*v*z**3 + 8*v*z wrt v.\nAnswer: 738*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1202946362 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 288\/378 + (-1)\/3. Suppose -k*j**2 - 9\/7*j**4 - 3\/7*j**5 + 0*j + 0 - 9\/7*j**3 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*i - 11*i**3 - 510*i + 282*i.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 134*a = -139*a + 97, -3*a = -6. What is the remainder when 956 is divided by t?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-549)\/(-610)))\/((-185)\/3).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -137148*i**4 + 97*i**3 - 4*i**2 - 19654006*i wrt i?\nAnswer: -1645776*i**2 + 582*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -269431343*f*n**4 + 465*f*n**2 - 14*f*n + 2*n - 1014 wrt n.\nAnswer: -6466352232*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5890141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/48 and 69\/448.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 6*w**2 + 5*w + 7. Let f be r(6). What is the highest common divisor of 407 and f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 24 = -12*q - 9*q. Let h(o) be the first derivative of -q*o**2 + 0*o + 0*o**3 - 18 + 13\/2*o**4. Find the second derivative of h(f) wrt f.\nAnswer: 156*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128137 is divided by 12752.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**19\/f**(-1\/13)*f**(-11)\/(f**23\/f) assuming f is positive.\nAnswer: f**(-181\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(18)\/sqrt(9))*2.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 507\/(-78)*(-720)\/(-15210)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:08 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*9\/(-12)*-10\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 3430?\nAnswer: -3434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a6 (base 16) to base 4.\nAnswer: -12212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -700 (base 10) in base 7?\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + a**2 - 2*a**2)*(-5*a + 2*a - a) + (0*a - a + 3*a)*(a**2 + 0*a + 0*a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 16. Sort c, 0, -3 in ascending order.\nAnswer: -3, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4*u**2 + 0*u**2 + 2*u**2 + 0 to the form z*u + j*u**2 + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**6\/120 - j**5\/20 - 19*j**2. Calculate m(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-567)\/(-2)*29\/(696\/32). Let k be 939\/l + -3 + (-40)\/(-70). Suppose -3*y + 7*y = 0. Is k greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -388\/136305 (c) -6\/7 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7120 and 6385216.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-20)*2\/(-3). Which is the third biggest value? (a) -0.3 (b) -11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c - 10 + 10)*(-2 - 2 - 2)*(-451 + 53 + 64 - 487) to p + w*c and give w.\nAnswer: 19704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62003.89 + 62318. Let k = 7.11 - y. Let j = k - -320.1. What is j rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 48 (b) -2\/15 (c) 0.3 (d) -0.77 (e) -5 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.5402008 + 1.540204. Let f = -12 + 9. Let o = f - y. Round o to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, m: 1, z: 1, a: 1, h: 3}. What is prob of sequence ehhh?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.2914?\nAnswer: -0.05828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -26*v. Let o(y) be the second derivative of 31*y**3\/6 + 2*y + 56. Determine o(m(g)).\nAnswer: -806*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 2)*(2*t + 0*t + 0*t) + t - 2*t + 0*t)*(-677 + 93*t**2 + 677).\nAnswer: 465*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 259 * 0.047561\nAnswer: 12.318299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**2 + 11*f - 29. Let k(o) = 3*o**2 + 6*o - 14. Let m(p) = 5*k(p) - 2*v(p). What is the remainder when m(-13) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*z**3 - 23*z**3 - 28*z**3)*((1 + 1 + 0)*(-2*z + z - z) - 6*z - 3*z + 10*z) to n + l*z + r*z**4 + j*z**2 + y*z**3 and give r.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 = -0*c. Let a(j) = 2*j**2 - 8*j + 10. Suppose x + 51 = 5*z + 7, 4*x = 4. Calculate the remainder when a(c) is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (208\/(-364))\/((-6)\/7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 12:08 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - 57.914. Let j = t - 0.08921. Round j to 4 decimal places.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + (-4431)\/422 - 1*(-1)\/1.\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 + -2.6. Sort c, 0, -2\/17 in ascending order.\nAnswer: c, -2\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 4)*(4*o - 2*o - 2 + 1 + (2369 - 2369 + 195*o)*(-1 + 1 + 2)).\nAnswer: -1176*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (1 - 0\/2). Let c = 17 + -13. Solve 3*m - c*m + 5 = o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a factor of 172391065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -79603.\nAnswer: -79602.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 8. Let f(h) = 1. Determine -6*f(y) - u(y).\nAnswer: -y - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*(v\/(v**(-2\/13)*v))\/v)\/v**2)\/((v**(9\/7)\/v)\/(v*v\/((v**27*v)\/v*v*v))) assuming v is positive.\nAnswer: v**(-2560\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -10*s - 1. Let o = -387 + 388. What is d(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 3b?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105043, -106064, -107765, -110146, -113207?\nAnswer: -116948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*s - 14*s + 1 + 10*s)*(2*s - 30*s + 5*s).\nAnswer: -138*s**2 - 23*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*z - 103*z = -5. Let l(r) = -856 - z*r + 856. Let k(d) = 7*d**2. Give l(k(o)).\nAnswer: -35*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1637 + -1648. Sort 10, -1\/9, i, -2 in increasing order.\nAnswer: i, -2, -1\/9, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57601\/7 - -60654413\/7371. Calculate the common denominator of -46\/195 and d.\nAnswer: 5265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/178 and 105\/88.\nAnswer: 7832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b - 175 = 959. Let k be 63\/b - (-21)\/2. Calculate the highest common factor of 7 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 85738*t**3 - 20*t*w**2 + 33236105*w**2 wrt t?\nAnswer: 257214*t**2 - 20*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -11 - (-35 + 22).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37469 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 9. Suppose -g*p + 56 = p. What is the remainder when 39 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 264, 41, -664, -1851, -3520, -5671?\n\"Answer: -241*p**2 + 500*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118382737.\nAnswer: 11, 1451, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 254270 (base 8) in base 10?\nAnswer: 88248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 0.55 (c) -0.2 (d) 15 (e) -142 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198424.7 months in centuries?\nAnswer: 998.68725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1435299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/(-1)*2\/3. Suppose 3*g + 81 = -5*v, -2*v - 4*g - 68 = 2*v. Let u be (w\/(-32))\/(v\/8). Is -1 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1505932317 to the nearest integer?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2387620 to the nearest ten thousand.\nAnswer: -2390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 27.913.\nAnswer: 31.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -179 - -182. Put 1, -6, -5, k in decreasing order.\nAnswer: k, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 e when four letters picked without replacement from {x: 5, e: 8}?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(448)*1 - sqrt(448))*3 + 4 + sqrt(448) + 1 + sqrt(448))**2 + -2)*-1.\nAnswer: -1813 - 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/417 and -17.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 10\/(-8))*((-2674)\/70 - -39).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -4*o - 31, 5*o = -25*z + 20*z - 30 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000069167823 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45471 = -4*g + 33*h - 28*h, -g = -4*h - 11365. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.235402 rounded to three decimal places?\nAnswer: 0.235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 5. Let k(r) = -r**2 - 19*r - 39. Let l be k(-17). Is l smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18294314 to the power of 1\/2, to the nearest integer?\nAnswer: 4277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 153*r - 154*r. Which is the biggest value? (a) r (b) -3 (c) 21\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6288\/(-8384))\/(-3*2\/136)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*sqrt(35)\/sqrt(112).\nAnswer: -5*sqrt(5)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -1 - 4872)\/(2 - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -904, -0.06, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 2*z**2 + z + 1. Let m be u(-2). Let a(p) = 131*p**2 + p. Let v be a(m). Calculate the highest common factor of 13 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66307996 divided by -4?\nAnswer: -16576999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-four fifths of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-44)\/(-33) + -2 - 42\/(-9). Let h = -25 + 35. Solve -c*t - 6 = -h*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*o**3 + 18*o**3 + o + 3 - 6*o**3 in the form c*o**2 + d*o**3 + n + q*o and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 43791, 0, 4103 in increasing order.\nAnswer: 0, 4, 4103, 43791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-240)\/(-72) + (-8)\/(-12). Suppose -6 = k - 2*k. Let h = k + -2. Calculate the highest common factor of b and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 0.2, -8 in descending order.\nAnswer: 0.2, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 7*p**2 - p + 2. Calculate d(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*r - 3*g - 17, -4*r = 3*g + 1. Suppose 0 = 2*b + 4*p + 8, -r*p + 9 = -2*b + 1. Are -5 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 6, -2*k + 3*w + 0 + 89 = 0. Calculate the remainder when (-84096)\/(-432) - (-4)\/(-6) is divided by k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 183 + -195. Let w(b) = 34*b**2 - 19*b - 47. Is w(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 6591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(11)*-1)*-4)**2 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -8 - 0. Suppose 0 = -i*o + 19 - 5. Which is bigger: 8 or o?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 times -307\nAnswer: -5219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*u - 973*u + 281*u + 366*u + 2*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z + 4*g - 58, -70 = -4*z + 2*g. Let o be (-13 - -1)\/(z\/60). Let n = -25 - o. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 29489 = 112532. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(64) + 5 + ((sqrt(560) + sqrt(35) - sqrt(35))*-6)\/sqrt(7) + 1.\nAnswer: -95*sqrt(5)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-196)\/14 + 15)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(25\/6)*b)\/b)\/b*b**(-24\/7)*b*(b*b**(-7\/3)*b)**(-41) assuming b is positive.\nAnswer: b**(605\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*n - 2. Let m be (n + 14)\/((-5)\/(-5)). Let v be (-2 + 15)\/((-1)\/(-11)). What is the greatest common factor of m and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8*i + 4. Let u be (0 - 8)\/(5 + -7). Let f = u + -2. Let m(r) = -2*r - 1. Give f*h(j) + 9*m(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g - 1. Give f(-9).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 192 = 23*w. What is the greatest common divisor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 8*i. Let h be u(-9). Let n(d) = -4*d + 5 + h*d - 10. What is the units digit of n(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.6 and -11.\nAnswer: 138.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**3 + x**2 - x + 1. Let j be p(1). Suppose j*h = 3 - 13. Let c be h\/(-6) + 13\/(-30). Is -1 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4845762853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 671*x - 677*x + 2808 = 0. Let q = -240 + x. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -41.14. Let x = s + -3.094. Which is smaller: x or 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**3 + 6*o**2 + 2*o - 4. Let b(l) = -4*l**3 - 5*l**2 - l + 3. Determine 6*b(n) + 5*y(n).\nAnswer: n**3 + 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.79 - -1.21. Which is the nearest to 23? (a) m (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - b = 4799, -b = 3*v + 4*b - 3582. Suppose -3*j = -2*x - v, j - x = -0*x + 401. Let k = 570 + j. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:55 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 41. What is the greatest common factor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800996641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.44 + -0.54. Let j = -0.1 - h. Let v = j + 3. What is the third biggest value in v, -3\/4, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17910 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + 11*d + 14. Let a be l(-6). Calculate the highest common factor of 8 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-1))\/(-12))\/((-37)\/74)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**5\/30 + 11*a**4\/6 - 16*a**3\/3 + a**2 - 25. What is the units digit of q(-23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25383625469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6124341ug in kilograms?\nAnswer: 0.0000000006124341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0499171 decades in centuries?\nAnswer: 0.00499171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 17*x**2 + 10*x - 12. Calculate the lowest common multiple of 16 and k(-16).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 1:21 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/27, 1, -3, -2\/9, 1\/8 in ascending order.\nAnswer: -3, -2\/9, 1\/8, 7\/27, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -11. What is the lowest common multiple of 2 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 0. Is b less than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r - 27. Give z(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 + 0 + 0)*(1 + t - 2 + 0) as v + k*t + l*t**3 + h*t**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26105735 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 483840*p**2 + 19508428800*p.\nAnswer: 3*p*(p + 80640)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3\/4, 0.6, 47.6, -3 in descending order.\nAnswer: 47.6, 0.6, -3\/4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8630, 8712, 8786, 8852, 8910, 8960?\nAnswer: 9002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 751844 to the power of 1\/2, to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584*l + 567*l + 154581 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-147444)\/(-12420) - (7 + 1024\/(-144)).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 - 102. Suppose 3*v + 9 = 48. What is the remainder when v is divided by 18*(-1 + w\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -7*f + 4 - 1\/27*f**3 + 5\/108*f**4 + 0*f**2. Let b(c) be the first derivative of u(c). Factor b(o).\nAnswer: o*(5*o - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 560 = 5*s. Let n be s\/21 + (-2)\/(-6). Suppose -2*c = -3*c. Sort c, n, -2.\nAnswer: n, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15834 is divided by 7912?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3279066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 332 and 331010972?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5, w + 4*w + 2*z + 5 = 0. Which is the closest to 15\/4? (a) 0.4 (b) w (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26704.6 + 26705. Let s = -2.06 + 2. Let n = 117 - 116.7. Which is the second biggest value? (a) k (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84262 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 998368.1ng?\nAnswer: 0.9983681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/48 and -11\/60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 3269656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3239\/209 - -145\/11. What is the common denominator of n and -36\/11?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3962073 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6907711 millilitres?\nAnswer: 0.0006907711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = 2*k + 2, -4*g - 5*k = -11. Suppose -13587 = 25*b - 15487. What is the greatest common factor of g and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - k - 1. Suppose -3*o = -0 - 12. Give s(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -14*q**2. Let x(o) be the first derivative of o**3\/3 + 10. Calculate x(n(d)).\nAnswer: 196*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 60*i**2 - 125*i + 101. Calculate o(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 - (10 - 0) - 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -22*i**2 + 6. Let z(h) = 1 + 0 - 1 - 177*h**2 - 1 + 178*h**2. Calculate g(s) + 6*z(s).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -77 and -8960\/117 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35, -82, -137, -200?\n\"Answer: -4*n**2 - 35*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2. Let t(x) be the first derivative of 277*x**2\/2 + 4. Determine t(h(z)).\nAnswer: -277*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**2 + 4208*u. Let a(b) = 1312*b + 2. Calculate a(k(r)).\nAnswer: 6560*r**2 + 5520896*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -145*h + 135. Give v(0).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**3 - 2*x**2 + 2*x - 1. Let s be i(1). Let g = -70 - -72. Let b(q) = -5*q - g*q + 4*q - 1 + 4*q. Determine b(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 1. Let k = 13 - 11. Suppose -o - f = -v + k, v - 7 = -o. Solve w + u = -2 - o, -4 = -2*w + u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - -26 - 14) + -35?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2699344*k**2*v + 3*k*v + k - 2284*v - 43 wrt k.\nAnswer: 5398688*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 2}. Give prob of picking 1 r and 1 t.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3960 and 504.\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23872960 and 1830?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4784 - 17*w**2 - 1577 - 1602 - 41*w**2 - 1605.\nAnswer: -58*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 3*s. Let x(b) = 9*b**2 - 2*b + 1. Calculate the remainder when x(s) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + 0.1. Let c = -5 - -9. Let g = -0.85 + 0.35. What is the smallest value in g, r, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r = 29*r + 24. What is the remainder when r is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 151300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**7\/840 - v**6\/80 + v**5\/20 + 5*v**4\/12 - 10*v**2. Let a(i) be the second derivative of u(i). Solve a(d) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2504*r**3 + 2*r - 82214 wrt r.\nAnswer: -7512*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kikikkiiiiiiekikkkii. What is prob of sequence ei?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**2 - 1. Let i be j(-1). Let r = 2 + i. Let p be 0 + -1 - 6\/(-10). What is the biggest value in r, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 14826*z**2. Let h(l) = -5*l. Give t(h(g)).\nAnswer: 370650*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 17*m + 21. Let q(t) = -5*t**2 - 3*t - 2. Let i be q(m). Put i, -3, 0 in decreasing order.\nAnswer: 0, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 6*v**2 - 18. Let c be w(7). Let i be 646\/c - 3\/(-11). Solve 2*k - 4*p = 16, 4*k + i*p + 11 = 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62296, -62273, -62234, -62179, -62108, -62021?\nAnswer: -61918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 8:31 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 346, 355, 370, 391, 418?\n\"Answer: 3*q**2 + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-291)\/(-485)*115 - 93?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.035 + 5.73. Let h = 3.1653 + g. What is h rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, v: 4, c: 1, b: 2, e: 2, h: 1}. Give prob of picking 1 b, 1 v, 1 c, and 1 h.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 82753.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 1\/40, 25\/173?\nAnswer: 25\/173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i - 29*i**4 + 0*i + 21*i**4 wrt i?\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3033825707 + -6.\nAnswer: -3033825713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1*-2)\/(sqrt(4) + (sqrt(4) + sqrt(4) + -1*sqrt(4))*-2) - (sqrt(19)*3 + -5 + (sqrt(19) - (2 + sqrt(19)*-5))).\nAnswer: -11*sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - -1*sqrt(114)*2)\/(-1*sqrt(216)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90644297 to the power of 1\/3, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 + -127. Let n be (-1340)\/(-100) - (-2 + 15). Which is the closest to t? (a) 26 (b) 0.5 (c) n (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12000)\/288 + (-24)\/(-9). Let x(d) = -8*d - 315. What is x(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/144*16\/(-12). Let q(c) be the third derivative of 0 - 5\/9*c**3 - 5\/24*c**4 - 1\/24*c**6 + w*c**5 + 0*c + 14*c**2. Determine n so that q(n) = 0.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -194.1 * 0.4.\nAnswer: -77.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 409 and -125.52.\nAnswer: -51337.68","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/31241 and -129\/3124100.\nAnswer: 3124100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6534 + 6534.1. Let g = -2.8 - -3.3. Which is the smallest value? (a) 3\/22 (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1304 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13927962 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**5 - 1406*r**3 - r**2 + 2950*r + 5?\nAnswer: -60*r**3 - 8436*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 1, h: 8, f: 1, i: 4}. Give prob of sequence mi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -50681600 to the nearest 1000000.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 - 4*u. Let o(k) = 2*k**2 + 4*k + 1. Let c(n) = -3*l(n) - 2*o(n). Is 21 a factor of c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-11 + (-1 - -23))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35604486349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0678916196 and 0.5.\nAnswer: 0.0339458098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*l**3*p**2 - 712*l*p**3 - l*p + l - 4*p**3 + 9122*p**2 wrt l?\nAnswer: 9*l**2*p**2 - 712*p**3 - p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 440 and 2420.\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 21.95 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0 - 1 + 3 - 1 - 6 + 3 + 4 + (0 + 2 + 0)*(1 - 2 + 2) + 1 + 0 + 3 - 4 + 0 + 2)*(-a**3 + 4*a**3 - 2*a**3).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 m, and 1 q when three letters picked without replacement from mmjjxq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 41*r**2 + 578*r + 54. Calculate k(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6464d (base 14) to base 10\nAnswer: 242717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66746 is divided by 224?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 3de1e?\nAnswer: -3de1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.781 - 10.7. Round y to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000711 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + ((-46)\/14 - -2) + 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 581 - 198. Let o = i + -366. Let d(j) = -j + 19. What is d(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jadjjjpdddfjldjapdj. Give prob of picking 2 j and 1 l.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25, -246, -605, -1102, -1737, -2510, -3421?\n\"Answer: -69*s**2 - 14*s + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = t + 10, 2*t + 12 = 2*q + 2. Let i(d) = d + 6. Let c be i(t). Suppose -h = 3*x + 2 - 22, -x - 5*h + 2 = c. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 2:49 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -0.2. Let f(p) = 0 + 2*p - 2 + 2*p. Let d be f(7). Which is the closest to s? (a) 5 (b) d (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6043 - -4242. Let q = -1154 - h. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/186 + 10079\/930. What is the common denominator of 46\/10*20\/8 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/224 and 101\/1309644.\nAnswer: 10477152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2074*w - 35077 - 290 - 18961 = 3744 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41977886 divided by 193?\nAnswer: 217502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -70*o**3. Is m(-1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.064899, 5\/3, -3, 4.\nAnswer: -3, 0.064899, 5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 635\/2 + (5\/10 - 1). What is the second derivative of -6*f**4 - a*f - 9*f**4 + 326*f wrt f?\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 4. Let b be v(-10). Let s = b + 0. List the prime factors of 13 - (s\/(-2) + -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*i**2*o - i**2*v**2 + 7*i*o*v**2 + i + 4*o wrt i?\nAnswer: -136*o - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10637401 + 10637419 + 10637417 + 3*a**2 - 31912237 - a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(28\/(-2)) - (-390)\/(-4). Let j = -92 - n. Find the first derivative of 25*m + 44 + 0*m + j*m + 13*m wrt m.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000011100 (base 2) to base 7.\nAnswer: -10355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10965 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*-13.8.\nAnswer: -289.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25260678 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - j - 5610899 = 0, -3*u - 4488724 = -7*u - 4*j. Let c = 362180 - u. What is c rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (371\/106 + -51)\/((-5)\/(-2))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/35 - 81\/(-5). Suppose 86 - 1 = s*n. Solve -4*z - 5*v + 0*v = -27, 0 = -5*z + n*v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/((-7)\/6) + 9 + -5. Suppose 0 = -2*j + 7*j + 100. Let t = o - j. Calculate the smallest common multiple of t and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28138*5.\nAnswer: 140690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1525174 to the nearest integer?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 792*o**2 + 7*o - 5. Let u(v) = -796*v**2 - 9*v + 6. Give -7*i(p) - 6*u(p).\nAnswer: -768*p**2 + 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/88425 and 52\/135585.\nAnswer: 2033775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 - 3 - (-251)\/1. Calculate the greatest common divisor of 384 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206a3b (base 12) in base 3?\nAnswer: -221212221002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 553?\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**(-16))))\/z*z**(-2)*(z\/(z*z*z\/(z*z**(-2\/9))))**(1\/2) assuming z is positive.\nAnswer: z**(-335\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 57. Calculate the highest common divisor of 25 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + -3. Let p = n - -16. What is the highest common divisor of p and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 478*i*p + 2*p - 11 wrt i?\nAnswer: 478*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67640 by 5.\nAnswer: -13528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*a - 3179 - 5548 = -91. Calculate the highest common factor of 10302 and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*g - f, 8*g - 6*g - 2*f = -18. Suppose -7 = -2*m + n, 4*n = -5*m - 0*n + 50. List the prime factors of 225\/g*(-4)\/m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*q**2 + 152*q**2 - 288*q**2 - 3*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19400 and 3240?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -64*k - 4. Determine f(1).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) 2303\/2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 300 + -304. Which is the closest to -0.01? (a) -1 (b) 0.6 (c) 2\/7 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 3*a**4\/2 - 7*a**3\/3 - 4*a**2 - 3*a - 75. Is 10 a factor of z(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/(9\/(-126)). Let q(m) = -3*m + 4*m - 2 - 4*m. What are the prime factors of q(l)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-8)*16\/(-72).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.08 (b) 5\/2 (c) -1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -0.3 (c) 120 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*i = -143*i - 18. Let 355*c**3 - 181*c**i - 184*c**3 - 2*c**4 - 12*c**2 = 0. What is c?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709175 is divided by 177293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55.61 + -55.61. What is the nearest to -1 in v, 0.09, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t\/t**(3\/5))*t*t)\/(t\/(t*t**(-3\/4))) assuming t is positive.\nAnswer: t**(37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 525 - 761. Let n = 527 + w. Does 22 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1 - 8 + 0 - 3*r - 3. Let j be m(6). Is 582\/4*(-20)\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 8\/3, 0.3 in increasing order.\nAnswer: 0.3, 8\/3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/16)*h)\/(h\/((((h\/h**(-20)*h)\/h)\/h)\/h)) assuming h is positive.\nAnswer: h**(307\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27825 and 26325.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.478674 months in years?\nAnswer: 1.5398895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 5*n**3\/3 + 1. Let i(t) = -t**2 + 3*t**2 - 4*t**2. What is i(y(m))?\nAnswer: -50*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17473 + -1188057\/68. Find the common denominator of x and -1 + 1 + 425\/220.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -57\/8, 2\/3, 3.\nAnswer: -57\/8, 2\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3462 - -10?\nAnswer: -3452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 93*x**2 - 11628*x + 481. What is a(125)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32054410 rounded to the nearest one hundred thousand?\nAnswer: -32100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -32*k + 18. Suppose 8*y - 4 = -28. Does 41 divide r(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (6\/4)\/(25\/25150)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11584 is divided by 109?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h**(-1\/4)*h)\/h)\/h*(h*h**(1\/30))\/h)\/(h**(-1\/9))**27)**(-21) assuming h is positive.\nAnswer: h**(-1169\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/21 and 107\/1290?\nAnswer: 9030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 + 43*m**3 - 37*m**3 + 38*m**3 + 43*m**3.\nAnswer: 87*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388, -1343, -2286, -3217, -4136?\nAnswer: -5043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3588726*v**4 - 4*v**3 - 164534*v**2 - 23*v - 1 wrt v?\nAnswer: -86129424*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504 = -4151*y + 4123*y for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.92\nAnswer: -0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110 (base 2) in base 15?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 21366, 4, -1 in increasing order.\nAnswer: -1, 4, 21366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*g - 119*g - 69*g - 166*g)*(158*g + 170*g - 104*g).\nAnswer: -67200*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = 4*z + 4*j, z - 3*j - 6 = 86. Calculate the greatest common divisor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 0*c**2 - 1 + 2\/3*c**3 - 3*c. What is the derivative of h(d) wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504 at most as big as 3009\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693*k = 62*k + 10927 + 2955 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -522, -755, -974, -1179, -1370, -1547?\nAnswer: -1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(68)\/(sqrt(4) + sqrt(4) + (sqrt(180)\/sqrt(5))\/sqrt(9)) + sqrt(68)*2 + -1)**2*-5.\nAnswer: -15490\/9 + 650*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54876329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1\/4 (c) 93\/7 (d) 13 (e) -2\/11 (f) -13\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 2*w - 9*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(170)*2*5)\/(sqrt(20)\/sqrt(2)*4 - sqrt(640)*1).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from ugj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4167722 or 4167777?\nAnswer: 4167777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 492 and 12.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*y - 1, -2 = c + c. Find the third derivative of 3*h**2 + 0*h**2 + y*h**5 + 2*h**5 + h**5 wrt h.\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 7:40 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6.4. What is the second biggest value in 3, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 + -8)\/((-2)\/(-20)). Let l = 40 + g. Solve l = -5*a - 2*h - 5, 4*a - 4*h = 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*x + 134*x = -46. Suppose -x = -5*q + 152. Solve q*b - 30*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375765 divided by 9635?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35.1419 or 1?\nAnswer: 35.1419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, -13, -1\/12, 1\/9, -5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -486, -368, -30, 636, 1738, 3384, 5682, 8740?\n\"Answer: 18*v**3 + 2*v**2 - 14*v - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8*b + 1. Suppose 4*q - 9*q = 20. Let u(o) = -3*o**2 - 2*o + 4. Let n be u(q). Let p be -2 + 14\/18 - 8\/n. Calculate f(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 517385 (base 11) to base 10\nAnswer: 829669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1c01b (base 14) to base 3\nAnswer: 10121220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.423 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7829*k**3 - 37414*k?\nAnswer: 46974*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from lldillllylilloiill?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42.7 - 40.7. Sort u, 0.2, -0.5, 0.\nAnswer: -0.5, 0, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.6 + -33.5. Suppose 4*h + 0*h + 4 = 0. Let x = -0.42 + 0.02. What is the closest to h in x, 4\/3, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -37. What is the closest to o in -2, 3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -254865*j - 1019458. Calculate u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*o + 53*o = -43*o - 3*m + 18, -5*o - m - 18 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a1840 + 2?\nAnswer: a1842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14092)\/1084 + 518\/40.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 15 = 3*k. Suppose 3*v - 836 = -2*o, o = k*v + 480 - 71. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178729931?\nAnswer: 178729931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 41416 and 3\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 3 + (4491 - (25 + -7)). What is the greatest common factor of 185 and w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -6. Let n(r) = r**2 - 5*r + 5. What are the prime factors of n(t)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*t**3 - 4*t**3 + 3*t**3)*(1 + 0 - 2) + (t**3 + 2*t**3 - 5*t**3)*(1 - 1 + 1))*(-3 + 2 + 5).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2296 + 4480. Suppose 8*s = 12*s - h. Suppose 0*o + 6*o - s = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106928\/237 or -450?\nAnswer: -106928\/237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p + p - 2*p)*(-2*p - p + 4*p) + (-p + 2*p + 5*p)*(106*p + 72*p - 654*p) as i*p**2 + d*p + n and give i.\nAnswer: -2857","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 6309\nAnswer: -1\/6309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44095, 44182, 44329, 44536?\n\"Answer: 30*g**2 - 3*g + 44068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*(-8)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 0, 16928?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12\/7 (b) 5 (c) -2\/11 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -20694.13842 to the nearest ten.\nAnswer: -20690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/((-84)\/(-2)) - 1\/(-2). Which is the nearest to z? (a) 0 (b) 2 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30483 - 30482.9. Which is the closest to k? (a) -10 (b) 4 (c) -1\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 70 - 6a?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2)*c*c**3)\/((c*c**(-6))\/(c**2*c))*(c*c**(-2\/7)*c)**(-41)\/((((c\/c**(1\/9))\/c*c)\/c)\/(c*c**1)) assuming c is positive.\nAnswer: c**(-3602\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**3 - 3*j**3 - j**3 + j + 1 + j**2. Suppose 2*k - 5 + 3 = 0. Let g(v) = v**2 + v + 1. What is k*x(u) - g(u)?\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + m**2 - 3*m**2)*((2*m - 2*m - m**2)*(-4*m + 10 - 10) + 0*m**3 - 3*m**3 + 5*m**3).\nAnswer: -24*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*d - 92, 3*r + d - 79 + 23 = 0. What is the least common multiple of 14 and r?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -35*q. Let n(x) = -11314*x**2. Give c(n(o)).\nAnswer: 395990*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 9. Let s be l(-11). Let k(o) = 11 + 58*o - 5 - 51*o + o**s. Give k(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.2. Let z(j) = -j**3 + 2*j**2 + 2*j + 4. Let o be z(3). Let m be ((-2)\/6)\/(o\/(-2)). Is p less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 21*s**2 - 17*s + 41. Let m be h(-20). Let o = m - -22. Solve 2*q - 18 = 4*v - 0*v, 5*q + 2*v = -o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -10. What is the third derivative of 2*o - 5*o**5 - 2*o + f*o**2 + 12*o**5 wrt o?\nAnswer: 420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 261922157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5\/2 - 3*n**4\/2 - 7*n**3 + 6*n**2 + 20*n = 0. What is n?\nAnswer: -2, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*(150\/60)\/((-6)\/4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11008216 is divided by 109.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 - 72 = 3*w. What is w rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/102 and 92\/1071.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 4) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 4*q - 32, -115*a + 114*a - 16 = 4*q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and -0.34.\nAnswer: -0.0442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-116)\/(-19) - (-24)\/(-228). Calculate the highest common factor of 24 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 + 0 + (5 + 7 - 3)*(1 - 1 - 1))*(7*m + 46 - 46) to k + u*m and give u.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = g - 0 - 11, 23 = -3*t - 5*g. What are the prime factors of (t + 2594 - -6)\/2?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1)*(-6 - 155). Solve -170*x = -j*x - 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*i - 55*u + 60*u, -i - 5*u + 19 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b - 2*n - 630, 3*b - 4*n - 392 = 0. Let o = 7233 - 14217\/2. Which is greater: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, t: 7}. What is prob of sequence ztz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/7, -0.4, 81?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 51864 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 3420\/(-265))*10\/(-25)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 3)\/3 + 0. Let i = -38 - -26. Let y = i + 12.4. What is the nearest to 0.01 in -3, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 37*v - 30. Let z be m(10). Let l be -2 - (z\/(-4) - -4). Let b = -4 + l. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2 - 457*j**2 + 466*j**2 + j**3 + 13 + 2*j. Calculate w(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-214)\/(-13) - (-158 + -18)\/(-11)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 - 54. Calculate the remainder when f is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 1711703?\nAnswer: 1711703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 29168*o. Let t(q) = -558*q. What is y(t(a))?\nAnswer: -16275744*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -10, -3, -150, 21 in decreasing order.\nAnswer: 36, 21, -3, -10, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -4.9 (c) 3 (d) 0.16 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 18855*z + 50 + 18863*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/(-182)*19812\/(-9144)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 29\/5*-3*-5. Let n be (2 - -1) + c + 4\/(-1). Calculate the greatest common factor of n and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15820348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*p = -99*p + 50. Solve -3*t - 2*v + 6 = 0, -2*t - 2*v - p = -3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1326*a**2 + 7*a + 3. Let j(o) = 3*o + 9. Let b be j(-5). Let v be f(b). Let k be (v\/26)\/(6\/160). Round k to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27158915 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**0)\/n)**(-4)\/(n**(-3\/2)\/(n*n**4*n))*((n**(-1))**(-17\/5))**44 assuming n is positive.\nAnswer: n**(1571\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -1199 and -3593\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biddcpa. What is prob of sequence cid?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, 16, 69, 142?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p + 214. Let b be z(38). Calculate the greatest common divisor of 756 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -202*h**2*p**2 - h**2*p - 2*h - 10*p wrt p.\nAnswer: -404*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -9*a**4\/4 - 2*a**3\/3 - 2*a - 3727. Let b(z) = 44*z**3 + 11*z**2 + 10. Calculate -2*b(l) - 11*t(l).\nAnswer: 11*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/787707?\nAnswer: -2\/787707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x*x**0))\/x)**(6\/13)*((x*x**(-1\/3)*x)\/x)**(-2\/85)*(x*x*x**(2\/9))\/x**(-3\/2)*(x**1)**(-41) assuming x is positive.\nAnswer: x**(-769307\/19890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, 0.3, 41036?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101412855 to the nearest integer?\nAnswer: 10070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 17*j - 15*j + 3, 3*l = -j - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + 15 + (20 - 8).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35017\/7780 + 58\/389. Calculate the common denominator of 105\/22 and h.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 7:51 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from taaaaaaa. Give prob of picking 1 t and 3 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/12 + g**3\/6 + 2*g. Let j be p(0). Suppose x = -j + 5. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 12003351.\nAnswer: -1200335.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - q - 5 = 0, -4*h + 5*q + 16 - 39 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/2*4108952\/4. Suppose -3*o - 6724676 = -3*d + r, -6879988 = 2*o + 4*d. What is o rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3841355 + 113*v**3 + 3*v**2 + 3841355.\nAnswer: 113*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 h when three letters picked without replacement from pphhhppppppppppphp.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) + 1 + 5 + sqrt(208) + 2)*-6 + -5.\nAnswer: -60*sqrt(13) - 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/5)\/902*((-23)\/((-368)\/128))\/(-2)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52759287 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from hvlmllvhlh.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -57775 (base 8) in base 6?\nAnswer: -305433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 227*v**2\/2 + 156*v + 166. Is n(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/587 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**7\/7 + 11*n**3\/6 - 12*n. What is the second derivative of s(m) wrt m?\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -78*b + 59. Does 28 divide z(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3369*i**2 - 409*i + 1?\nAnswer: -6738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 10*q**2\/13 - 33634*q\/13 - 20184\/13 = 0.\nAnswer: -3\/5, 3364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**2 - 2*i**2 - 2*i**2 + (2*i**2 - i**2 + i**2)*(3 + 1 - 5) - 2*i**2 - 1 + 1 + 10*i**2 + 3*i**2 - 4*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053726006 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28113433 to the power of 1\/2, to the nearest integer?\nAnswer: 5302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308, -311, -316, -323, -332?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -66?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 213799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38649400.\nAnswer: 2, 5, 193247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b + 12. Let c = b + -1. Suppose 2*q - 6 = -4. Sort q, c, 3.\nAnswer: q, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 60\/(144\/(-12))*-1. Solve t*z + 5 = -2*v, -8 = 3*z + v - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*s + 1 + 5, 5*p = 2*s - 6. Suppose -3*m + 0*m + 24 = p. Suppose -16 = 3*c - 5*c. Calculate the highest common factor of m and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/32 and 151\/144?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(10)\/sqrt(5))*6 - ((sqrt(5) - (0 + sqrt(500) - sqrt(5))) + 4))**2.\nAnswer: -112*sqrt(5) + 996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -1\/6*q**4 + 0*q**3 + 0*q**2 - 20*q - 5. Let s(i) be the first derivative of n(i). Let t(d) = -2*d**2. Give t(s(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002741 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 8. Suppose d*r = -3*n, 4*n - 2*n = -r. Suppose n = 2*u - 3*u. What is the third biggest value in 2, 2\/15, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -26*o - 18*o + 28*o + o**2 + 35. What is the tens digit of d(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149799484 divided by -4.\nAnswer: -37449871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*g**3 + 7*g**4 - 7*g**3 + (23*g**3 - 23*g**3 + 5*g**4)*(0 + 5 - 3).\nAnswer: 17*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 0*l - 5*l + 25, -5*b - 2*l = -33 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, b: 1, r: 5, i: 3, z: 1}. What is prob of picking 3 r and 1 b?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(3) + 1)**2 + sqrt(9)\/sqrt(3) + -5.\nAnswer: 14 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1219619*n**2*w**5 - 138*n**2 - 3*n*w + 7*n - 24*w wrt w?\nAnswer: -24392380*n**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234115297, -234115296, -234115295, -234115294?\nAnswer: -234115293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 2)\/(((-33)\/6)\/11). Let f be 18\/i*6\/(-12)*2. Suppose f = 19*m - 16*m. Calculate the greatest common factor of 27 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203b683 (base 13) to base 9.\nAnswer: -20332443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1 + sqrt(1088) + 1 - (sqrt(1088) + 5 + sqrt(1088) + sqrt(1088) + -1 + 4 + sqrt(1088)*2))*-5*1 + 3)**2.\nAnswer: 10560*sqrt(17) + 436289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u - 92. Let h(z) = -211991*z. Calculate c(h(m)).\nAnswer: -423982*m - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 8. Let v(l) be the first derivative of -l**3\/3 - 4*l**2 + 9*l - 2. Let m be v(-9). Determine r(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by (-5 - -3)*7\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -69. Let z(g) = -17*g + 72. Does 45 divide z(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3d (base 14) to base 11\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 - 1 + r**2 + 5 - 5 as v + y*r**3 + z*r**2 + i*r and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5 + 194040*m**4 - 194074*m**3 - 3104712*m**2 - 3880840*m = 0.\nAnswer: -97021, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d**3 - 2*d**2 + 2*d**2)*(-4 - 3 + 6) + 4*d**2 + d**3 - 4*d**2 - 4 + 2 + 28*d**3 - 8*d**3 in the form n + v*d + s*d**2 + i*d**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 790 + -808 + 28 + 1 - 20.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 24 = -3*k, 0 = -5*s + 13*k - 9*k - 6. Let p(a) = -10*a - 5. Give p(s).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 84377.457 nanoseconds?\nAnswer: 0.0000000234381825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from llflbvlvee.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -6. Let d = z - 1. Suppose -d*h + 6 - 31 = 0. Sort 5, h, -0.5.\nAnswer: h, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34, 68, 102, 136, 170, 204?\n\"Answer: 34*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 42, -5, 3354, -6\/25?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 203*g**2 + 117*g wrt g.\nAnswer: 406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - ((29 - 63) + -14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (983\/528 - 2)\/((-15)\/30). Let z = q + -3\/44. Find the common denominator of 1\/(-6)*70\/63 and z.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273071966 divided by -5?\nAnswer: 273071966\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2189?\nAnswer: 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69315 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aemerear. What is prob of sequence reem?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 7. Let f = 2 + 8. Suppose 2*p + f = -6. Let d be a(p). Is -1\/10 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 5)*(52 + 11*p - 52).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*i**2 + 44*i**2 + 39*i**2 - 515*i**3.\nAnswer: -515*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.494441 decades?\nAnswer: 299.33292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1323 (base 4) to base 9.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 483207 to the power of 1\/2, to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -162*4220\/(-2220) + (-6)\/(-111). Calculate the greatest common factor of m and 5467.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*j - 83*j - 4*u - 1 = -3*u, 7*u = -5*j - 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5, u - 48 = -5*n + 4*u. Let b = -6 + n. Let x be b\/(-5) + (1 - 1). Is x at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11654, 23142, 34328, 45062, 55194, 64574, 73052, 80478?\nAnswer: 86702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 66*v**2 + 160*v - 1445. Determine q(68).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 18165?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(480\/(-790)) - 18*12\/1728. Let b = -21 - -11. Is r at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*r - 4*r. Let o = -27 - -22. What is the second smallest value in r, o, 10?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 7:33 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i = 21*i + 62*i + 1494996000. Round i to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/71991?\nAnswer: -1\/71991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -11*m**3 + 2*m**2 + m. Let l be a(-1). Suppose -i + 7 + 6 = 2*b, 0 = 3*b - i - l. Solve -4*v = -b*o, -2*o = 2*v + 4 + 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -683 - -683.642. Let g = -0.058 - q. Let o = -0.6 - 0.4. Is o < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9506, 12057, 14606, 17153?\nAnswer: 19698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -7. Suppose k + 2*a - 8 = w, -k + 0*a + 4*a = 10. What is the units digit of (k - -1)\/(-3)*-10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 + 1101110100000011110100?\nAnswer: 1101110100000011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 53394 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 3*q + 3. Suppose -k - f = 0, -16 = 4*k - 5*f + 2. What is the remainder when 28 is divided by z(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6531500 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*y - 330 + 330)*(-2*y**3 - 3*y**2 + 4*y**2 + 4*y**2).\nAnswer: -108*y**4 + 270*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 788 = -0*y - 792. Solve y*q - 110 = -18*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-1 - (2 - 3)). Let r = x - 4. Let f be (-1 + 1)\/(r - 1). Solve 10 = -f*w + 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/2 of a minute?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -5) + -6 + 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/972*3*(-36 + 183\/5)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from nycfyyyncynycnbccc?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**2 + 3*q - 3. Let f(c) = -6*c**2 - 3*c + 2. Let h(i) = 6*f(i) + 5*v(i). Calculate h(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 224 (b) -1\/5 (c) 2 (d) -3 (e) -86\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 33 + 23*m + 38 - 26*m - m**3. Calculate the remainder when v(0) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.123, 64, -41.3, 0.4 in increasing order.\nAnswer: -41.3, -0.123, 0.4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*h = 278*h + 4*p - 19560, -p + 15659 = 4*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 27*a**2 + 16*a + 187. Let f be u(27). Let x = f + -583. What is the highest common factor of 264 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2525 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 178\/63 in 0.196, -2, 2\/11?\nAnswer: 0.196","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*d - 3*r, 5*d + 6*r = 3*r - 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 2*n - 3. Let a be d(-3). Let h be (a\/(-9))\/((-3)\/(-9)). Suppose 4*r - 3*i + i = 126, -h*r + 68 = 4*i. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183 + 26*p - p**2 - 26*p.\nAnswer: -p**2 + 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.116 - 12. Let w = -5.784 - q. Let x = w + 7.77. What is x rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*w - 148 = -215*w. Calculate the smallest common multiple of 775 and w.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155658 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 18 = 10*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 302.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -2)*-1*-23. Suppose 0 = 11*m - 9*m - y. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/8))\/(t**(-2\/21)*t))\/((t*t**(-3\/4))\/t*t**(-2\/7)\/t) assuming t is positive.\nAnswer: t**(337\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29779036 a multiple of 1030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + -0.8. Suppose 6*v + 10 = 8*v. Suppose 12 = -4*s + v*t, 0*t + 3*t - 14 = -s. Which is the closest to k? (a) s (b) -1\/7 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*v + 13, 0 = v - 4*s + 3*s - 5. Is v > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11884, -11927, -12044, -12271, -12644, -13199, -13972, -14999?\nAnswer: -16316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by ((-2)\/4)\/((-2)\/40).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: bee (base 15) to base 7\nAnswer: 10604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, 30, 144, 304, 510, 762?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + 868?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -695, 2, -5, -0.08 in descending order.\nAnswer: 2, -0.08, -5, -695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, i: 5, g: 1}. Give prob of picking 1 i and 1 g.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 521 and 31781?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9259823 is divided by 138206?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.02033 to 2 decimal places.\nAnswer: -2.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36088.\nAnswer: 2, 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -12*f + 165. Suppose 658 = 19*o + 21*o + 7*o. Calculate r(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*b**2 + 15*b**2 - 32*b**2)*(7*b + 5*b - 2*b).\nAnswer: 490*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 4*x + 317187 = -785153. Does 95 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 0*t + 5*t)*((t + t - 4*t)*(-3 + 4 - 3) - 2*t - t + 6*t) in the form a + w*t**2 + h*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-1))\/(-7))\/(1\/(-3)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3\/4 + 473019*s**2\/4 - 18646290705*s\/4 + 55934615025\/4 = 0. What is s?\nAnswer: 3, 78835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 5*b + 4. Calculate the lowest common multiple of 12 and l(8).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22099004569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*x**2 + 254*x - 511*x + 391*x**3 - 75*x**2 + 257*x.\nAnswer: 391*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -16*u - 39. Calculate the least common multiple of 60 and t(-3).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -j - 106, 0 = 4*w + 3*j - 114. Suppose -2*g - w = -3. Let q(k) = -8*k - 29. Is q(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3986, -7971, -11956, -15941?\nAnswer: -19926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/(2\/120). Let f be (z\/8)\/(12\/(-32)). Suppose -5*i + 0*i = -f. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (122\/(-5))\/((-10)\/50). Suppose 3*r - j = 2*w - 8, 2*r - 3*w - 71 = 0. What is the remainder when 236 is divided by r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/3)\/(92\/((-46920)\/1615))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1140 and 14885170?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8555\/72 + -959\/8. Let z = 4605 - 165797\/36. Find the common denominator of z and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k**3 + 0*k**3 - k**3)*(2 - 1 - 2) - 2*k**3 + 1 - 1 + 5455*k**3 - 1433189*k + 1433189*k as y*k**2 + i*k**3 + p*k + g and give i.\nAnswer: 5451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) 29 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 611\/(-195) + (-4)\/(-30).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - i**2 + i - 1. Let k(l) = 4*l**3 + 815*l**2 + 2*l - 2. Calculate k(p) - 2*w(p).\nAnswer: 2*p**3 + 817*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-194)\/1261 - 16\/65?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 8*l + 2. Let o be i(8). Find the first derivative of 5 + 57*f**2 - f**3 - 57*f**o wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.6, 2\/55, 3069, -2?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205991, -411770, -617547, -823322?\nAnswer: -1029095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 428, -3, -2, 3 in descending order.\nAnswer: 428, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/21)\/d*d\/d**(-20\/7)*d)\/((d**(-3\/7)*d)\/(d*d*d**(-4\/5))) assuming d is positive.\nAnswer: d**(566\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 340*d**2 + 16*d - 8. Let b(x) = -x**2 - x + 1. Calculate 16*b(w) + f(w).\nAnswer: 324*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69.5 * -54.\nAnswer: -3753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -6.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6820 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)\/sqrt(5))\/sqrt(11) - (sqrt(5) + sqrt(80))*3 - (4 + (0 + sqrt(5))**2)*-6) + -5.\nAnswer: -14*sqrt(5) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times 2577176\nAnswer: 3865764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -162*d + 162*d + 92*d**5 + d**5 + 2*d**5 - 2*d**5 + (4*d - 6*d + 4*d)*(3*d**4 + 4*d**4 - 5*d**4) - 3*d**2 - d + 2*d**2 - 2*d**3 - 3*d**3 - 2*d**5.\nAnswer: 95*d**5 - 5*d**3 - d**2 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 279358 or 279330?\nAnswer: 279358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4811617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 52. Let b be 48\/(-18) - 2\/6*p. Is (-15)\/10*1984\/(-6) - b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78135360 by 30.\nAnswer: 2604512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1375 is divided by (-5 - 71\/(-4))*(-9 + 13).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70133 by 301.\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 131382664 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 3:52 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 4*a + 8. Let b be x(4). Solve r - b = 2*r + 3*p, -4*p = -2*r + 24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*q - 27*q + 12*q)*(3 + 1 - 2 + 5 - 3 - 1 + (1 + 0 - 2)*(0 - 2 + 1) - 1 + 6 - 2 + 0 - 3 + 4 + (0 + 4 - 2)*(4 - 2 - 4)) as d*q + w and give d.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -50400 rounded to the nearest one thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1956, -1911, -1836, -1731?\n\"Answer: 15*z**2 - 1971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -552*d + 6226. Give i(11).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-27) - (-2)\/(-9). Suppose -v - 3*v + 12 = 0. Suppose -v*o = -a*o - 423. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2\/323, -34?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34482005 a multiple of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 97534.11ns?\nAnswer: 0.00009753411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -404242314?\nAnswer: 404242312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22063841 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44\/403 or -0.662?\nAnswer: -0.662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - n + 744 = 698, -4*n - 16 = -4*l. Solve 12*b - l*b + 5*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = -5*j - 125 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*q**2 + 2194 - 6*q**2 + 10*q**2 + 2162 - 4324 as u*q + v + o*q**2 and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwysh. Give prob of picking 1 s and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-105)*(-90)\/(-81).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c. Let x be s(2). Let i = 0 - x. Suppose i*p - 4*d - 820 = -0*p, -2*p + 425 = -5*d. Round p to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 5*q. Let h be p(4). Suppose h*c = c. Suppose 0*k + 24 = 4*k. Solve 0 = -c*j + 3*j + k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 39. Let d(j) = -21*j + 9. Let q be d(f). Suppose -3*a + z = -0*z - 307, -2*a + 4*z + q = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -14*p**2 - 128*p - 8. Let k be h(-9). Sort 5, -7, k.\nAnswer: -7, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -579*y**2*z + 20688*y**2 + 3*y - 29155355*z + 2 with respect to y.\nAnswer: -1158*y*z + 41376*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/27 and 25\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iipp when four letters picked without replacement from tppqqppiaiak?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44793 rounded to 2 dps?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2044 (base 6) to base 16.\nAnswer: -1cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i. Let w(f) = f - 500. Determine w(h(p)).\nAnswer: 2*p - 500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1578250 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 65716128791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114042444 - 42?\nAnswer: 114042402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 121, -0.5, 3, -0.07 in descending order.\nAnswer: 121, 3, -0.07, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -t + 5, -2 = 5*t - 2*g + 24. Let x be (10271\/2)\/(-2*t\/(-32)). Let z = 493105\/24 + x. Find the common denominator of -49\/4 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 + -4.01. Let l = -3.6 - u. Suppose 4*o - 3 = 5. Which is the closest to 1\/4? (a) 2\/15 (b) o (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26191 is divided by 4608.\nAnswer: 3151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3171292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 26257*w**2 + 3775200*w.\nAnswer: -w*(w - 26400)*(w + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/172 - 2710\/280)*(-7)\/(-1 - -2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 163 = -4*g, 0*b + 3*g = 3*b + 99. Let l = -28 - b. What is the first derivative of -48*n + l + 20*n + 18*n wrt n?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 869.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -5*m + 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + j - 9. Let v be i(-5). Solve 0*x - 14 = -z + 4*x, -5*x = 2*z + v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 4*b - a - 8, 5*b = 3*a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -84, -73, -48, -3, 68, 171, 312?\n\"Answer: k**3 + k**2 + k - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**7\/21 + g**6\/15 - 6*g**5\/5 - 14*g**4\/3 - 16*g**3\/3 - 2347*g. Factor s(l).\nAnswer: 2*l*(l - 4)*(l + 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23314, -31022, -43866, -61846, -84962?\n\"Answer: -2568*z**2 - 4*z - 20742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99428711 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 495144094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 99*j + 301. Let g be m(-3). Solve -6\/5*v**g - 6\/5*v + 4\/5*v**2 + 2\/5*v**5 + 4\/5*v**3 + 2\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.166029 to 4 dps.\nAnswer: -0.166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 4*x**2 + 7*x. Let h(q) = -q**2 - 11*q + 5. Let k be h(-11). Let c(b) = 2*b**3 - 4*b**2 + 8*b. Let t(w) = k*c(w) - 6*j(w). Factor t(o).\nAnswer: -2*o*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4860971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 373578 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1306 - 56188?\nAnswer: -57505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 607785 and 1017.\nAnswer: 206039115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*u + 56. Let t = 108 + -84. What is the greatest common divisor of t and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/4672 and 13\/876.\nAnswer: 14016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 7 + (-4 - 2) - 11. Let j = -10 - p. Calculate the smallest common multiple of j and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -10*k**2 - k + 51. Let u be s(-8). Let h = 1104 + u. Let t = -224 + h. List the prime factors of t.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2313395 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*d - 20, -42 = -5*d - 5*f + 2*f. What is the units digit of (16\/(-6))\/((-4)\/d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-2)*r)**(-14)\/(r\/r**(-2))**(10\/13)*(r\/r**(1\/4))**(-44)\/(r*r*r**2*r**(1\/9)) assuming r is positive.\nAnswer: r**(-6250\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195185712 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -350799 and -350799 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 1:10 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**4\/7 - 2606*m**3\/7 + 572*m**2\/7 + 575726*m\/7 + 3268233\/7 = 0. What is m?\nAnswer: -521, -9, -41\/5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a\/(a\/(((a**(2\/5)*a)\/a)\/a))*a*a))\/a)**26*(a**(-2)*a)**(-3))**(1\/13))**36 assuming a is positive.\nAnswer: a**(-6012\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131841720.\nAnswer: 2, 3, 5, 366227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -48227062, -48227069, -48227076?\n\"Answer: -7*m - 48227055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufnmpgp. What is prob of sequence mugf?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -1805.1 (b) -0.3 (c) 2 (d) -0.1 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7511, 15016, 22521, 30026, 37531, 45036?\nAnswer: 52541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 2*j**2 + 3*j + 2. Let i be n(3). Let a = i - -2. Let o = a + -1. Solve 0*z = -o*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049691 a multiple of 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1336 + -455. Let a = c + 3233. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m**2 + 44*m**2 - 14*m**2 - 13*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/268 and 19\/360.\nAnswer: 24120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: c506 (base 14) to base 9\nAnswer: 51462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587805?\nAnswer: 3, 5, 149, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 14.06304ug?\nAnswer: 0.00000000001406304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -21*m - 345. Let y(g) = -g + 2. Let k be y(-6). Suppose k*w - 40 = 3*w. Calculate the remainder when n(-17) is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26555?\nAnswer: 5, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 3*v = 6. Calculate the common denominator of (17\/14)\/(1\/v) and (-97)\/(-14) - 2\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -567?\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/137991 and 101\/78852?\nAnswer: 551964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1813 or -1807?\nAnswer: -1813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750 is divided by 583?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7798, 15533, 23198, 30781, 38270, 45653, 52918, 60053?\n\"Answer: -2*m**3 - 23*m**2 + 7818*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 102, -2\/3, 0?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 582*g*l*y**3 - 61165*g*l*y**2 - 563*g*y**3 - g*y**2 - 4*g*y - 2*y**3 + 430*y**2 with respect to l.\nAnswer: 582*g*y**3 - 61165*g*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.05341 and 0.103?\nAnswer: 0.31450123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 202123?\nAnswer: -202132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 18. What is the highest common factor of 81 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 7:25 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/27173 - -3070405\/1304304. Find the common denominator of -67\/80 and z.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 6:55 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -527*r**4\/2 + 6*r**3 + 7*r**2. Let b be m(-10). Suppose 7*p = b + 9524. Round p to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -66*p**3 - 5*p - 28. Let g(l) = -66*l**3 - 4*l - 27. Let s(d) = -5*g(d) + 4*t(d). Differentiate s(z) wrt z.\nAnswer: 198*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.18 - 0.31. Let o = w + 0.1. Let u = -0.67 + o. Is -1 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-2)*(-5)\/(-75)*5. Suppose k = -a - 6 + 2. What is the closest to 1.1 in 2, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1149783 is divided by 202?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 431237982?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(612)*1 + sqrt(612).\nAnswer: 4 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35953041029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/175 and 29\/15585?\nAnswer: 545475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 153055.71 months?\nAnswer: 1275.46425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -2\/659747969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*q**2 + 27*q**2 - 13*q**3 + 17*q**2.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22340 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5176*t. Let b(z) = 2*z**2. What is n(b(c))?\nAnswer: -10352*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*n**3 - 102*n**3 + n + 45*n**3 + (4 - 3 + 1)*(-8*n**3 + 0*n**2 - 2*n**2 + 2*n**3).\nAnswer: -24*n**3 - 4*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2 + 124512*g - 1937904768 = 0 for g.\nAnswer: 31128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 3513\/2 and 1756 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*y**3 + b*y**2 - 661652311*b*y - 2154289*y**3 + y**2 wrt y?\nAnswer: 6*b*y + 2*b - 12925734*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 13*f - 9 = 0. Suppose -5*p = 2*n - 125, 4*p + 153 = -0*n + f*n. What is the highest common factor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 5) in base 10?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28728 divided by 6?\nAnswer: -4788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**(-1\/3)*b)**(-1\/19)\/(((b\/((b**(-2\/5)\/b)\/b))\/b)\/b)**(-20))**21)**(2\/9) assuming b is positive.\nAnswer: b**(22204\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -146.0000118 - -146. Round n to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m - 40. Let b be u(12). Let a be b + 1 - (-38 - -28). Suppose 186152 - 627152 = a*z. What is z rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689081491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 16*l + 21*l = 10, 2*z - 5*l = 4. What is the least common multiple of z and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)*v\/(v\/(v*v*v*v**(-15\/7))))\/(v\/(v\/(v\/((((v*(v*(((v\/(v**(-1\/9)*v))\/v)\/v)\/v*v)\/v)\/v)\/v)\/v))))**23 assuming v is positive.\nAnswer: v**(-7051\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -12*g - 26. Let r be (29\/(-11) + g)\/(2 - 1). Are 1 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 10:35 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -330 - -354. Solve -29*m + 10 = -z*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3, 0.5, -0.77, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 5. Let m be h(-7). Let y be 2 + ((-2)\/(8\/m))\/(-1). Solve -y*i - 12 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-24))\/(44\/((-3300)\/125)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -5) + 0 - (4 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 21. Let o(s) = -1. Let d(c) = -j(c) - 18*o(c). Let z(b) = -b + 15. Let f(i) = -11*d(i) - 2*z(i). Differentiate f(r) wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13061 is divided by 195.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19, -25, -21, -1, 41, 111, 215?\n\"Answer: p**3 - p**2 - 10*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*g + 20, 21 = 5*g - q + 1. Suppose -3*b - g*o + 13 = 0, -2*o + 0 + 3 = b. Let w be -1 + b + -1 + 0. Solve -w*n = 8 + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**37*q*q**(20\/11))\/(q*q**(5\/3))**(-10\/3))**(1\/40) assuming q is positive.\nAnswer: q**(2411\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-9))\/((-14)\/6). Let y be (-1 + 2)*(3 + -3). Let o = 4 + -3.6. Which is the second biggest value? (a) o (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 28 = 5*k. Determine y so that -k*y + 15*y + 12*y**2 - 4*y**5 - 4*y**3 + 21*y - 12*y**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*v**2 - 1)*((0 + 2 - 1)*(3 - 5 + 0) + 0 + 3 - 1 + 4 - 3 - 3 - 3 - 1 + 3 + 660 + 3280 + 932) to j + t*v + n*v**2 and give n.\nAnswer: -9738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*p = 77*p + 45*p - 888768. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*b**2 + 45*b**2 - 35*b**2)*(b**2 - 2*b + 2*b) + (b**4 - 3*b**4 + 3*b**4)*(6 + 4 - 3) - 3*b**4 + b**4 + 3*b**4.\nAnswer: -7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5977583808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2666*h = 115*h - 620*h + 158550 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -31 - ((1 - 0) + -6). Let s = k - -40. Suppose 5 - s = -3*o, o - 294 = -3*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 16) to base 14.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t*t\/t**(-1\/2)*t)*t**4*(t\/(t*t*t\/t**(-16\/5)*t))\/((t**(1\/2)*t)\/t*t))**(-42) assuming t is positive.\nAnswer: t**(1722\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d - 6. Let f be a(7). What is f rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1140201 rounded to one decimal place?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-11 - (1 + (-17 - -4) + 4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5, 4, -1.09, 0, -374?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2170*p**3 + 2*p**2 + p + 94 wrt p?\nAnswer: 13020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1382 - -2525. What are the prime factors of s?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = 8. Suppose 0*m - 5*m - 16 = 2*n, -4*m - v*n = 20. Is 129\/2*m\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6900 and 184.\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 542, 2093, 4662, 8237, 12806, 18357?\n\"Answer: -2*q**3 + 521*q**2 + 2*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -55*r. Let q(u) be the second derivative of -u**6\/360 - 5*u**4\/4 + 2*u - 5. Let z(d) be the third derivative of q(d). Give z(f(a)).\nAnswer: 110*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d, 2*k - 5*k - 9 = 2*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**1*n**(-1)\/n assuming n is positive.\nAnswer: 1\/n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6289 + 9251. Does 148 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2902 and -5.\nAnswer: 14510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1 * -96.\nAnswer: -201.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 1025290*h + 2050600.\nAnswer: -5*(h - 2)*(h + 205060)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*sqrt(200)\/sqrt(4).\nAnswer: 4 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 1 = -p, 8*o = 5*o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - 2*g - g in the form j + y*g and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -613\/5 - -41311\/335. Find the common denominator of a and -47.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2332*w**2. Let z(u) = -24*u**2 - 21*u - 14. Let a(x) = -7*x**2 - 6*x - 4. Let y(r) = 14*a(r) - 4*z(r). Determine y(i(l)).\nAnswer: -10876448*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323129981.\nAnswer: 137, 1361, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10320 (base 5) in base 13?\nAnswer: -428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60188547 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 54 = 2*r, 3000313*r - 3000308*r = -4*w - 33 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 3395*t - 3398*t - 4*u, -2*t - 5*u - 151 = -11*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 910356159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*v + 13 = 0, 5*f + 8 = f + v. Let d(c) = 24*c**2. What is the remainder when -31*(-3)\/(f + 4)*3 is divided by d(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22443.9 to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -330 + 118. Let n = -54 - a. Suppose -n + 36 = -2*o. 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 the second biggest value in -1.6, 0.5, -15?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 220.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 9:05 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1497545, -2995090, -4492635, -5990180, -7487725?\nAnswer: -8985270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/21*(-3690)\/1640\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -75825 less than -1563989?\nAnswer: -1488164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 112*s + 579. Calculate y(-8).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2220 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 64303523 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 3*a - 2*a)*(a**2 - 3*a**2 + 0*a**2) + 4*a**2 - 2*a**3 - 4*a**2 - 10*a**3 - 7 + 4 + 25*a**3 in the form c + q*a**2 + j*a**3 + p*a and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 29*y**3 - 3*y**2 + y. Let m = 11 + -9. Let r be u(m). Suppose -c = c - r. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y. Let b be g(-2). Let l(n) = -5*n + 49. Let w be l(11). Let v = b + w. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84821*f + 34356 with respect to f.\nAnswer: -84821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from hazizziuiqiz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 + 7 = 0. Let t = 7 + q. Suppose 0 = -2*u + 1 + 7. Solve 5*l - t = -o, -1 - 5 = u*o - 2*l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 + -44?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17578 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 282 = 368. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001966079 rounded to six decimal places?\nAnswer: -0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 6*o + 2. Let n be k(6). Let x be 14\/(-7)*2 + (3 - -1). Solve -n + x = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-3 - -4) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -15. Suppose 0 = i*b + 2 - 12. What is the third derivative of 0*s**3 + 0*s**3 - 3*s**4 - 3*s**4 + 2*s**b wrt s?\nAnswer: -144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15540200 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -4, -5*p + 13*o - 10*o = -42 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 3 (b) 19 (c) 0.2 (d) 2 (e) 4\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/26 - (-1)\/(-2). Let s = 30072 + -90214\/3. Put s, 0, x, 4 in decreasing order.\nAnswer: 4, s, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -2\/15*r**3 + 3\/5*r**2 - 31 + 8\/5*r. Find w, given that m(w) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6585601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 7. Suppose 3*k - 85 = w, m*k - 88 = w + 3*w. Suppose -4*h - 52 - k = 0. What is the common denominator of h and 49\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from uccz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -40947105 divided by -33981\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 + 208. List the prime factors of v.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40539 - 1995 = -416*j + 1146 for j.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-2 - (1 - 0)). Let n(a) be the first derivative of 13*a**3\/3 + a**2\/2 + a - 6. Does 13 divide n(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + 23. Suppose 3*g - 4*b = 87, -g - g + o = b. Solve 0 = d + 5*z - g, -3*d = -6*z + 3*z - 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*131.4\nAnswer: 39.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 4*x + 16, 0 = 3*k - 2*k - 5*x - 6. Let d(a) = a**2 + 2*a - 1. Let r be d(k). Suppose -r*v + 3*v = -124. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*2\/32)\/((-11)\/((-5808)\/12))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 19*v**2 + 18*v + 6. Let r be d(-18). Suppose 4*a + j - 2298 = 0, 2*j + 8 = r*j. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.661*4\nAnswer: 2.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/12*86\/(-258)*(-4)\/(-14)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deddeedd. What is prob of sequence ddd?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 29 = 5*d, d - 5*t + 45 - 16 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -792, -1584, -2376, -3168?\nAnswer: -3960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -576738\/7 - 2148\/7*i - 2\/7*i**2 = 0. What is i?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*p - 20 = 0, -p = 4*z + p - 24. Suppose z*l + 62 = 4*w + 2*l, -39 = -3*w - l. Let x = 18 - -23. What is the remainder when x is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1707*s**3 - 45*s**2 + 5*s - 4563001.\nAnswer: -5121*s**2 - 90*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.4 (c) -1 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 203511 and 322707.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19476*q**2 - 5*q + 28480 wrt q.\nAnswer: -38952*q - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 10323462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 323 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from {p: 6, z: 1, f: 2, q: 2, k: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 12. Let m be x(22). Suppose m*g - 35*g + 588 = 0. Suppose -7*k = -147 - g. What are the prime factors of k?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 2*m - 3*a - 46, -2*a = -m + 84. Suppose -16*w - m = -22*w. List the prime factors of (-256)\/48*3\/(-8)*w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36282 is divided by 295.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1288, 5369, 12538, 23095, 37340, 55573?\n\"Answer: 50*j**3 + 1244*j**2 - j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 782 = -134. Let q be ((f\/10)\/(-2))\/(22\/(-2530)). Calculate the greatest common factor of q and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/8 and (29 - 32) + ((-433)\/(-96))\/((-15)\/(-12))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-4) + (-6)\/12. Suppose 86 = y*b - 5*b. Calculate the remainder when 212 is divided by b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ququ. Give prob of sequence uqu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3472*u**2 - 15*u + 8*u + 7*u + 0*u.\nAnswer: 3472*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 + 107. Suppose -12 = -z*m + 5*a + 3, -3*m + 3 = -5*a. Let u(s) = 8*s**2 + 3*s. Let g(d) = d**2. Suppose 1 = -5*v - 4. Give m*g(k) + v*u(k).\nAnswer: -2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 12*b = -4354. What are the prime factors of b?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.8 + -11.8000037. Round a to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**2 + 45260*n - 767975 = 0. Calculate n.\nAnswer: 17, 9035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4492991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + 23*l + 55. Determine t(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-80)\/(-32)*2\/5*1591\/(-86).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101 and 1616?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*k + 37, 5*p - 2*k = 38 - 9. Let y(f) = p - 13 + f + 1 + 6. Calculate y(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6 - (3 + -5)\/6. Determine u so that 2\/3*u**2 + 0*u - g*u**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5205)\/(-150) - (-10 + -5*(-776)\/400)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1170487408.\nAnswer: 2, 73155463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 55 - 925?\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.481 - 1.301. Which is the nearest to -0.4? (a) z (b) -0.5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2))**(1\/8)*(((f*f\/(f\/(f*f**(-1\/5))))\/f)\/f)\/f**(-7\/3) assuming f is positive.\nAnswer: f**(527\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 11. Let x be f(-8). Let k be (-4)\/(-18) + (-5882)\/306. Let i = k - -22. Solve c = -3*w, -x*w + i*c = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-25) + (-6)\/(-15). Let u be 3 - (3 + x) - -6. Which is smaller: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 80 or -10?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19030 is divided by 5885?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 + c**2 - 25*c**2 - 27*c**2. Let h(f) = 8*f**2 - 6*f + 12. Let r(l) = 9*l**2 - 7*l + 14. Let y(t) = 7*h(t) - 6*r(t). Calculate w(y(g)).\nAnswer: -192*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 246, -39 in decreasing order.\nAnswer: 246, 2, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -24*(-26)\/(-39) + 25\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**3*x + 59*r**3 - r**2 - 6*r*x + 2*r + 7*x wrt r.\nAnswer: 12*r*x + 354*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1083\/50? (a) -0.5 (b) 233.9 (c) 1\/5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**2 - 2*i + 4755. Let j(u) = -2*u. Calculate j(z(k)).\nAnswer: -10*k**2 + 4*k - 9510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1034697.1 - -3\nAnswer: -1034694.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjsjjjjjjjjjjsj. Give prob of picking 2 j.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1003424?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - j**2 + j. Let s(l) = -8*l + 14*l**3 + 2*l**3 - 12*l**3 - l**3 + 3*l**2. Calculate s(u) + 4*y(u).\nAnswer: -u**3 - u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7163 + 7163 - h. Let p(c) = 53*c. Calculate i(p(f)).\nAnswer: -53*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17206, 14932, 11142, 5836?\nAnswer: -986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 51.4. What is the third biggest value in -6, f, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1160, -1157, -1152, -1145, -1136, -1125?\nAnswer: -1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7942.8 + 7944. Let s(z) = z**3 - 4*z**2 + z - 4. Let q be s(4). Which is greater: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**3 - f**2 + 19*f + 16. Let n(q) = -q**3 + 6*q + 5. Let k(m) = 7*n(m) - 2*u(m). Suppose 5*l + 10 = -0*l. Calculate k(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21229174 is divided by 71?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -4445131.\nAnswer: -24\/4445131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71 and 1635769?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.434 less than -1.35?\nAnswer: -0.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-560480)\/(-224) + (-16)\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from qbppvvbbpvqqpqbq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -221505.2 rounded to the nearest one hundred?\nAnswer: -221500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-1 - sqrt(96) - sqrt(96))\/sqrt(4)*-5)\/(sqrt(800) - 2*(-2*sqrt(800) + sqrt(800) - sqrt(800))).\nAnswer: 3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -191524 at least -766099\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 634725 at most as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 11. Which is the second biggest value? (a) 4\/3 (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.4 and -172?\nAnswer: 179.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*14*16\/(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 244\/1548 - 17\/153?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -941 at least as big as -258586\/275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.13 + -1.13. Which is the nearest to k? (a) -0.1 (b) -0.02 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -66. Let n be -2 + 0 + (21 - -17). Let o = n - g. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*t = 83 - 5555. Calculate the highest common divisor of 81 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 4. Let r(l) = -l - 3. Suppose -4*c = 5*c - 153. Suppose -c = v - 21. What is v*r(b) + 3*s(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28197897 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32690.\nAnswer: 2, 5, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(3648))\/(sqrt(12)*-6 + sqrt(3)) - (1*(1 + sqrt(931) - sqrt(931)) + -3 + sqrt(931) + 0)**2.\nAnswer: -935 + 332*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 48 = 5*j + 26, 3*a = 6. Let r be (j\/10)\/(-4)*135. Does 18 divide (r\/7)\/((-18)\/(-168))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070 is divided by 473?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14741, -29481, -44221, -58961?\n\"Answer: -14740*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 2068.\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/1*2\/4. Let y = -2 + 1. Let k = y - 0. Put -2, k, b in decreasing order.\nAnswer: k, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -12 + (14 - 4) + (70 - -46).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10575500 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-2 - -2)\/(-2). Let x be d\/((-3 + 1)\/6). Calculate the remainder when 25 is divided by (-2 + x + -27)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1839.186 months in centuries?\nAnswer: 1.532655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6401\/84 + 263\/12. Let q = 54 + w. Let i(s) = -2*s - 2. Let h be i(-2). What is the closest to -1 in q, h, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(1*-2))\/(-2). Let q(t) = t**3 - 10*t**2 + t - 6. Let a be q(10). Suppose m = -a*h + h. Solve h = -4*l + 2*l - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -34 + (2 - -1) + -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-2)\/(8\/(-20)). What is the third biggest value in -0.2, r, -1\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 103.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-15)\/(75\/(-10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 3*h**2 + 3*h - 1. Let y be r(-4). Suppose -2*c = y*d + 2*d - 4921, -5*c = 4*d - 3947. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 45 - 5*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w**3 + 7*w**3 - 19*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skx when three letters picked without replacement from {l: 1, b: 1, x: 4, s: 1, k: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 356 and 20.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**4 + 3*f**3 + 291*f**2 - 27*f + 32.\nAnswer: -12*f**2 + 18*f + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9874 - -9872. Let l = 57\/7 + -8. What is the third smallest value in 0.13, n, l, -3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 6*v**2 + v. Let z(l) = 4*l**4 - 81*l**3 + 30*l**2 + 6*l + 3. Let k(m) = -6*r(m) + z(m). Find the third derivative of k(y) wrt y.\nAnswer: 96*y - 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w = 4846 - 4432 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883716583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 47864\nAnswer: -13\/47864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1461773903 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (-3)\/(-4))*(-200)\/75. Let p be -10*(2\/(-4))\/1. Differentiate -p + 5*d + 0*d - k*d with respect to d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.52 - 9.02. Let v = 2 + -10. Let x = p - v. Which is smaller: x or -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 22. Let r(k) be the second derivative of -1\/3*k**3 + 0 + 3*k - 1\/12*k**4 + k**b. Give r(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 29*a + 236. Calculate the least common multiple of l(-13) and (-73)\/(-4) - (-1)\/(-4).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -226365.8 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r**2 + 551 - 8*r**2 - 551.\nAnswer: -19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -146, -492, -1164, -2270, -3918, -6216, -9272?\nAnswer: -13194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/2)*t**(-3\/22) assuming t is positive.\nAnswer: t**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 171.8?\nAnswer: 34.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/20)\/7*(-4)\/3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - a = -0*a - 10, 0 = 3*v - 2*a + 5. Let y = v - -8. Solve 6*i = y*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeneeninninneedne. Give prob of sequence ind.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a = 10*a + 24. Suppose -9*x = -89 - 73. Solve -3*n + z = -7*n + 14, 4*n = -a*z + x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 + -139. Let l = 51.8 + y. Let x = 0.2 + l. Sort x, 1\/5, 5 in decreasing order.\nAnswer: 5, 1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, i: 1, s: 2, k: 1, b: 1}. What is prob of sequence bi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w**2 - 17*w - 53. Let i be y(-6). What is i rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1197*u + 10763. Give w(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2 + 6*a + 440. Determine y(0).\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 186 = 2*i, -3*w + 4*i = -201 + 9. Calculate the smallest common multiple of w and 42.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12135650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135091 is divided by 8442.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -471600 to the nearest ten thousand.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**2 + 16*n - 16*n + 17*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/36 and 1687*18\/1890 + (-6)\/(-10)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3065 = w + 4*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1950bbb - -7?\nAnswer: -1950bb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 3*b**2 - 4*b - 4. Let i be v(-4). Let j = i + 7. Let f = j - -2. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.5 - 3.8. Let u = z - 2. Let r = -1.7 + u. Which is the biggest value? (a) 0.4 (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hd when two letters picked without replacement from mfhhfdddfffddutf?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 23*g - 4. Let l(q) = 22*q - 5. Let u(a) = -6*l(a) + 7*z(a). What is u(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99.5 - -131. Let p = q - 31. What is the third smallest value in p, -1\/17, 4\/3, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260318 is divided by 43377.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88468 is divided by 713?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5929)*1)\/(-3*sqrt(175)).\nAnswer: -11*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -240945067*y**2. Let b(h) = -2*h. Determine j(b(v)).\nAnswer: -963780268*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 29881 times 12\nAnswer: 358572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34655.\nAnswer: 5, 29, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 110807201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 329474 divided by 1\nAnswer: 329474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2180 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*f - 0*f - 5*o, -10*f = -4*o + 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, r: 4}. What is prob of sequence ggr?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 23. Suppose 4*z - 65 = b, -3*b - 78 = -5*z - 5*b. Let f = l - z. Solve 5*k - 5 = f*r, 0 = 4*r - 2*k - 1 + 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119882494 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*3*(sqrt(325) + 2 - sqrt(325) - sqrt(325) - sqrt(325))**2*6.\nAnswer: -93888 + 2880*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/10, 57, -11, -1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a + 11. Let v be (-115 - -114)*0\/2. What is o(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Suppose 4*l - 3*o = -24, 0 = -2*l + 2*o + 3*o - 12. Let x = l + 6. Let r(k) = k - 1 + x*k - 2*k - 5*k. Give -5*n(q) + r(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g + 26. Let q be s(-11). Suppose -9*u + 755 = -q*u. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4641894*j**2 - 43622*j - 43622. Let a(t) = -1277*t**2 - 12*t - 12. What is 21811*a(r) - 6*s(r)?\nAnswer: -1283*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/84 and ((-1075)\/2107)\/(12\/70).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - k. Let b(x) = 8*x**2 + 10*x. Let v(i) = b(i) + 10*o(i). What is d in v(d) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:39 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 2*u + (4 - 4 + u)*(-2 + 3 - 2))*(4*u - 14*u + 82 - 79).\nAnswer: -10*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2 + 10 = 0. Suppose -2*d + n*d - 56 = 0. Solve 4*p**4 - 4 - p**2 + 37*p**2 - 20*p**3 - d*p + 0*p**4 + 12 = 0 for p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/27))\/b**24)**(-3\/14) assuming b is positive.\nAnswer: b**(310\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10333, 20645, 30955, 41263?\n\"Answer: -m**2 + 10315*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - q + 1. Let c(n) = -6*n**2 - 7*n. Determine -c(h) + 4*y(h).\nAnswer: 2*h**2 + 3*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1235 is divided by 1093.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 92?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-2))\/((-2)\/(-3)). Suppose 2*u - 40 = -s*u. Suppose -3*n + 134 = -58. Calculate the highest common divisor of n and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.016684.\nAnswer: -0.016684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -2617175642?\nAnswer: -2617175643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6. Let k(t) = -33 + 16 + t + 16. Determine -2*k(w) - m(w).\nAnswer: -2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**2*z**2 + 230*m**2*z + 31*m*z - 3*z**2 wrt m?\nAnswer: -6*z**2 + 460*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 24*s + 154 = 0. What is the greatest common divisor of s and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6764425 a multiple of 605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 148401*u**4 - 2*u**3 - 2*u**2 - 3483528.\nAnswer: 593604*u**3 - 6*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 j, and 1 i when four letters picked without replacement from {j: 2, i: 7, z: 3}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 238294 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1866072 + 3?\nAnswer: -1866068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 3*w + 2. Let o be r(2). Suppose 3*f + 104 = o*a, 2*f + 35 + 69 = 4*a. Suppose d - a = -x, 2*x - 27 = -d + 20. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.1 - -11.1. Let u = p + -5.4. Which is the second smallest value? (a) -2 (b) 4\/3 (c) u (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -20*s + 90. Let j(n) = -12*n + 2. Give c(i) - 2*j(i).\nAnswer: 4*i + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 169726741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 594, 1931, 4528, 8805, 15182?\nAnswer: 24079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 + 4 + 63)*(6 - 1). Suppose -k + 275 = -p, -k + 2*p = 4*p - a. What are the prime factors of k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108321*u - t = 108324*u + 5, 21 = -3*u + 3*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**2)\/p**1)\/((((p\/p**(-4))\/p)\/p)\/(p**5\/p))*p**(-1\/2)\/p**(3\/2)*(p**(-1))**(-38) assuming p is positive.\nAnswer: p**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k**2 - k**2 + 0*k**2)*(404*k - 221*k - 76*k)*(17*k + 7*k - 50*k) to the form w*k + i*k**3 + g + p*k**4 + d*k**2 and give p.\nAnswer: 2782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 12808.0118 to the nearest ten.\nAnswer: 12810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) + 3*sqrt(160) - sqrt(40) - (sqrt(40) - sqrt(640)*6))\/(sqrt(128) - (5*(sqrt(32)\/sqrt(4) + sqrt(8)) - sqrt(8))))**2 + 2.\nAnswer: 851\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 91*n**2 + 1. Let u(c) = -142*c**2 - c - 1. Let w(p) = -3*i(p) - 2*u(p). Let r(a) = a - 1. Give -4*r(l) + 2*w(l).\nAnswer: 22*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*sqrt(70)*3)\/(sqrt(40)*-3*-2).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 57 - 37)*(-2*d**2 + 7*d**2 - 3*d**2)*(-2*d + 3*d + 0*d + (-4 + 3 + 3)*(-d + 2*d + d) - d - 1 + 1 + d + 6*d + 2*d + 2 + d - 2).\nAnswer: -224*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11574 (base 10) to base 13.\nAnswer: -5364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16389 - 0?\nAnswer: 16389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-50) - -1)\/((-21)\/(-14) - 2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/((y\/(y\/y**1))\/y))*y)\/y*y**(1\/3)*(y**(-2\/11))**23 assuming y is positive.\nAnswer: y**(-127\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112220012 (base 3) to base 10.\nAnswer: 50225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-9 - (-16296)\/1806)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence va when two letters picked without replacement from qqvvvffaaqqfvaa?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 0*y - 8*y - y + 8*y. Let d(r) = -4*r**2 + 16*r. Let q(p) = d(p) + 16*n(p). Let s(f) be the second derivative of f**4\/4 + 3*f. Determine s(q(l)).\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - a)*(2*a**3 + 2*a**3 - 2*a**3)*(4*a - 6*a + 5*a).\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t + 71. Let y(v) = v + 14. Determine 2*l(d) - 11*y(d).\nAnswer: -d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 121. Let p(g) be the second derivative of g**4\/12 + g**3\/6 - 4*g. Let z be p(0). Let x be w(z). Calculate the highest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-90)\/2)\/(-9) + (-26)\/6. Which is the second smallest value? (a) -2 (b) v (c) 2\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -3, -43.5, 6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/18 + 1)\/(40\/360).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 167 in descending order.\nAnswer: 167, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/(-14))\/1)\/(-2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 73*y - 1143. Give i(-23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 1 + 1)*(-206*m**4 - 45*m**4 + 55*m**4) + 3*m**5 - m + m.\nAnswer: -389*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 199. List the prime factors of d.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 - -3 - 4) - 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*v - 134*v - 208*v + 14*v as k*v + a and give k.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13681.\nAnswer: 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1360\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -21\/32?\nAnswer: -21\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b - 4*b - 3*b - 12*b + b - 12*b + (23 - 23 + 2*b)*(-2 - 2 + 2) as h*b + a and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11575*k + 7*k**2 - 11575*k.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 26*z + 227. What is t(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.05 + 22.65. Which is the second smallest value? (a) 0.4 (b) k (c) 2\/123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10150 - 10145. Solve 3*t - 5*g - 14 = 15, -26 = -2*t + a*g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 14 = t, -52 = -2*t + 5*t - 4*d. Is t equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*x**2 - 2*x + 2*x + 106*x**2.\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.134, -4, -2.7, 3, -1?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 548138375 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 14 = 3*t - 14*j, j + 4 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 79 - 58*i + 29*i - 3*i**2 + 22*i wrt i?\nAnswer: -6*i - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14216107?\nAnswer: 109, 130423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-27 - -10)*(-12 - 6\/(-3)) is divided by 60.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 33 = 4*s, -11*s + 17*s - 10*s + 1 = -16*d + 37 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -8303 = -8303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(7\/(7\/(-2))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183999?\nAnswer: 3, 61333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10*(104 - -1). Suppose 2*f = -2*d - 3*f - 10, -3*f = -4*d - 72. Let v be (u\/d)\/((-2)\/40). What is the greatest common divisor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 223.9244818 and -1.2.\nAnswer: 222.7244818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -10. Let w(r) = 2*r + 7*r + o*r. Let h be w(1). What is the greatest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 - 2 - (-3 + (-13 - -16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = q, 5*k - 148 + 57 = -2*q. Solve 3*m = -k + 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2011 (base 3) to base 9\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1452.73 + 1452. Sort 2\/15, -0.4, m, -5 in increasing order.\nAnswer: -5, m, -0.4, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 399532.2 nanometers?\nAnswer: 0.0000003995322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - m - 1. Let j(a) = 3*a**2 + 11*a + 4. What is -j(t) - 4*v(t)?\nAnswer: t**2 - 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 26, 2 in decreasing order.\nAnswer: 26, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18309*z**3 - 9153*z**3 - 9158*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 10*q - 93. Does 2 divide u(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let s(d) be the third derivative of -d**4\/8 - 3*d**2. Suppose g + 2*g = -12. Let t be 1\/((-4)\/(-32)) + 3. Give g*s(z) + t*n(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 - 13. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5810499l to millilitres.\nAnswer: 581.0499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, r: 2, u: 4, n: 3, j: 3}. What is prob of sequence yr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -dd761 (base 15) to base 9\nAnswer: -1282221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4435*p - 4571 + 9139 - 4568 as y + c*p and give c.\nAnswer: -4435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {g: 6, b: 3, z: 8}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*p + p + 1386 = 0, -1829 = 4*r - 5*p. Let c = -443 - r. What is the least common multiple of 56 and c?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12529 - -25053\/2. Put 45, 1, -1, x in decreasing order.\nAnswer: 45, 1, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 5*u + 14. Suppose -z = -5*x - 24, 9 = 3*z - 3*x - 27. Let w be f(z). What is the tens digit of (-6)\/(-9) + w\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 2*f. Let h be o(2). Suppose 0*a - 3*n = -5*a - 25, -2*a + 3*n - 19 = 0. Let r be a\/13 + (-134)\/(-26). Solve r = -h*s + s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.8888 plus -17352621?\nAnswer: -17352638.8888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s + 455 = 26*s - 2107. What is the greatest common factor of s and 910?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 10 = -2*h, -4*r = -0*h - h - 4. Suppose 3*y + 3*f = 4*y - 43, -4*f - 80 = -r*y. What is the units digit of 174\/y - 8\/68?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 820 = 5*g - 8*p + 4*p, 25 = -5*p. Calculate the greatest common divisor of 96 and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 - 53 + 12*d + 12 + 4*d + 10 - 19 - 2 - d + 2 + (d + 3*d - 2*d)*(5 - 4 + 0) to c*d + w and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1323*q**3 - 9467*q**2?\nAnswer: 7938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - (5 - 1)) + -1. Which is bigger: k or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*f - 202, -5*t - f + 537 = f. Let i = t - 64. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 3*k + 9. Let w(m) = m**2 - 2*m + 8. Determine -3*n(u) + 4*w(u).\nAnswer: -2*u**2 + u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6545 and 807653.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*d + d = -8, 0 = d - 5. Calculate the common denominator of -115\/12 and (-549)\/(-12)*t\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*v**3\/5 + 8744*v**2\/5 - 96*v = 0.\nAnswer: 0, 6\/109, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10*u = 5976. Let q = 427 + u. Let g = -50 - q. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h + 53. Let l(q) = -342*q - 2592. Determine -2*l(s) - 99*t(s).\nAnswer: -9*s - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2543 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -792*g - 306*g + 47214 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-6)*o)\/o)\/o**(-2\/37)*((o*o**(-2))\/o)**(2\/3))\/((o*o\/((o**(2\/3)*o)\/o))**(-20\/9)*o\/((o*o\/(o*o*o**6))\/o)*o**(3\/10)) assuming o is positive.\nAnswer: o**(3833\/9990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 322140241 (base 5) in base 6?\nAnswer: 45131435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 874908738 a multiple of 593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqaa. Give prob of picking 2 q and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 853103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6240825 and 225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49*k**2 - 27*k + 1904.\nAnswer: 98*k - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**23\/((u*u**(-12\/5)*u)\/u))**(-39) assuming u is positive.\nAnswer: u**(-4758\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 1437?\nAnswer: 1437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -91 (b) 25 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*r - 47*r = 30 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 38*h. Let w be 2\/((-4)\/14)*32\/(-56). Let z be (0 - 2\/w)*(-14 - -10). Let b(k) = -154*k + 315*k - z*k**2 - 161*k. Calculate d(b(n)).\nAnswer: -76*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6 = s + 3*s, 4*n = 3*s + 17. Suppose -n*g = -4*g + 44. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 12:36 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -121\/1071667, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, r: 3, q: 4, c: 1, z: 1, j: 1}. Give prob of sequence zcc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7595, -4868, -325, 6034?\nAnswer: 14209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -74, -145, -306, -587?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a. Suppose -j = -0 - 3. Let m be o(j). List the prime factors of (-18)\/m*3\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 5:56 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/544)\/((-5)\/(-20))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-1 - (3 - 6)) + -5 + 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*x**3 - 125*x**2 - 18*x + 49?\nAnswer: 36*x - 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -684, -1372, -2058, -2742?\n\"Answer: v**2 - 691*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -538299 rounded to the nearest ten thousand?\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 2*g + 0*g + (1 - 3 + 0)*(-3*g + 2*g + 0*g))*(-83*g + 114*g + 699*g) + g**2 - 2*g**2 - g**2.\nAnswer: 2188*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*d + 2, -98 = 3*d - 5*k - 119. Solve 0 = 5*q + 4*y - 19, 2*q - 5*y + d = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 10 (b) 3 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -204, 3, -4?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Suppose -k + 2*r = -36, -r = -q*k + k + 40. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (42\/(-24))\/((-1)\/(-4)). Let n be 48 + 0 - (s - -9). Suppose 3*f = 15, 4*f + n = 2*t - 0. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 206 - 38 = w, -115 = -3*y + 2*w. Let j = -11 + y. Calculate the greatest common divisor of j and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -24*a - 30. Is l(-5) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13182950 and 790977.\nAnswer: 39548850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 62*g**3\/3 + 5*g**2\/2 - 47*g. Let d be 35\/14*(-4)\/(-10). What are the prime factors of z(d)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**4\/4 - 4*a**3\/3 + 2*a**2 - a - 1. Let w be m(-5). List the prime factors of (24\/(-30))\/(w\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-7))\/3 + (-8)\/126. Put -3, 2\/11, z in ascending order.\nAnswer: -3, 2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117343*m = -2*f - 117347*m - 18, 4*m = 2*f - 38 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 8 = 0, 3*w = q + q + 62. Let g be ((-1)\/(-3))\/((-4)\/156). Let v = g + 15. Solve -v*f - 3*b - b - w = 0, 11 = -4*f - 3*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/285 in 6, -1\/2, -26, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/5 - 459*q\/5 - 186.\nAnswer: 3*(q - 155)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*l**2 - 47971 + 47971)*(2*l + 0*l - l).\nAnswer: 143*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 2 - 1)*(-10 + 2 + 15)*(-5 + 4 + 3)*(-5*p**2 + p**2 + 3*p**2 + (-p - 3*p + 2*p)*(-p - 2 + 2)) as d + j*p + o*p**2 and give o.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3260 - -4866. Suppose -l + 402 = -4*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/69 - 7\/23. Let b = 818\/119 + -112\/17. Which is greater: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4\/3 + 1738*z**3\/3 + 3466*z**2\/3 - 1738*z\/3 - 1156 = 0 for z.\nAnswer: -867, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19575 (base 14) to base 15.\nAnswer: 1404a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/7 (b) -5 (c) -7 (d) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 44 - 1d?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*n, -3*n = -5*x + 3*x + 45. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13343*o**3 + 40131*o**3 - 13367*o**3 - 13377*o**3.\nAnswer: 44*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*(1 + sqrt(180) + 5) + (5 + 2*sqrt(180))**2*-1)*-5 + 1.\nAnswer: -10994 - 1620*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -8895*u**4\/4 + 134*u**3\/3 + 4276. Find the third derivative of m(z) wrt z.\nAnswer: -53370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 13*o + 17. Let a(k) = -k + 2. Let u be a(11). Let b(i) = -6*i - 8. Calculate u*b(f) - 4*l(f).\nAnswer: 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -31 times 11\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1088388 or -1088203?\nAnswer: -1088203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8086.55 + -8087. Which is the closest to 0.1? (a) 2\/11 (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -0.65.\nAnswer: -0.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1012? (a) -0.5 (b) 25 (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*v + 4*x + 40, 3*v - 2*x = -70. Let l be -3 + 3 + (-5919)\/v. Let a = l + -296. What is the common denominator of a and -151\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 95*s**3 + 35*s**2 - 35*s + 60. Let v(a) = -8*a**3 - 3*a**2 + 3*a - 5. Suppose 3528*i - 490 = 3542*i. What is i*v(c) - 3*y(c)?\nAnswer: -5*c**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 41 = -4*l, 0*l - 4*t - 28 = -2*l. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/6*(-45)\/30. Let i = -204 + 243. Suppose i - 395 = -q*s. List the prime factors of s.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f**3 + 5*f**2 + 5. Let k(u) = -1 + 0 - u**2 + 0*u**3 + u**3. Suppose 16*m = 22*m - 6. Give m*x(p) + 6*k(p).\nAnswer: -2*p**3 - p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (-68 + 0 - (91 + -187 + 111))\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*b - 43*b = 24. Let y be (-8 - -16 - b) + (-6)\/(-2). Let u = 2 - 2. Sort y, -7, -4, u in increasing order.\nAnswer: -7, -4, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 19744708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.026 - -4.826. Round t to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-6 - -3) - 3*-191. Suppose -4*q + 2*s + u = -0*s, 5*q - 708 = s. Round q to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (54*w + 325 - 325 - w + 1 - 1 + (3 - 1 - 1)*(2*w - 5*w + w))*(0 + 0 + 2*w) as s*w**2 + d*w + i and give s.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 - 49 = 13*q + 3*i, -2*q - 2*i + 8 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4703788110 to the nearest integer?\nAnswer: 1676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k - 2. Suppose -28*f = 27 + 85. Let v(t) = -7*t - 9. Determine f*v(n) + 18*i(n).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -517084 by -2012.\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (80\/12)\/(-1)*(-6)\/5. Let f = 4 - o. Let i(j) = -7*j**2 + 4. Let s be i(f). Round s to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 36. Suppose 3*n + 46 = -2*g, -2*g = -n - 3*g - d. Let s(y) = y**3 + 11*y**2 - 12*y + 9. What are the prime factors of s(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 1)\/((-2)\/14). Let y(i) = 6*i + 1. Let w = -36 - -47. Let g(l) = -2*l + 2 + w*l + 2*l. What is n*y(t) + 4*g(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40044111.\nAnswer: 3, 643, 20759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7. Let f(b) = -3*b - 64. What is -f(o) - 5*z(o)?\nAnswer: 3*o + 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 12. Let n(y) = -y**3 - y**2 + 2*y + 623. Is n(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) 2 (b) 2\/15 (c) -9.1 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x - 14. What are the prime factors of v(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000866 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from {u: 7, a: 3}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113845486?\nAnswer: 2, 109, 522227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 40772740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*d - 22*d + 61*d - 18*d - 2*i - 8, 23*i + 123 = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-3))\/((-12714)\/2119)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, g: 2, f: 1, l: 6, b: 1}. What is prob of sequence lpf?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 9) to base 16\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**3*w**5)\/(w**(-2\/7))**(-2\/23))\/(w\/w**(-4\/7)*w**(3\/4))**(-40) assuming w is positive.\nAnswer: w**(16395\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f + 2693. Let i(l) = 4*l - 2733. Determine 5*i(q) + 6*y(q).\nAnswer: 2*q + 2493","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -134312.\nAnswer: -134307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.21 + -0.61. Let o = 17.3 - 21. Let t = -1.3 + o. Which is the biggest value? (a) t (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2060746 is divided by 137382?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*l**3*t*u + 2*l**3 - l**2*u - 601*l**2 + 79024*l*t*u + 12 wrt t.\nAnswer: -3*l**3*u + 79024*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 1\/6*l**3 - 13\/6*l - 8\/3*l**2.\nAnswer: -(l - 1)*(l + 2)*(l + 15)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 824994964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/7 + 81\/21. Let k(d) = 3*d**2 + 4*d. Let m(a) = -6*a**2 - 9*a. Give i*m(y) + 9*k(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 1, w: 1, b: 1, l: 1}. Give prob of sequence bw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2616, 6003, 9390, 12777, 16164, 19551?\nAnswer: 22938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3 = b, -u = b + 50 - 49 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 232300*s. Let m be g(-40). What is m rounded to the nearest one hundred thousand?\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q**3 - 4*q**3 + 4*q**3 - q**3 - 3*q**3 + 0*q**3 + (0*q + 0*q + 2*q**2)*(-1 + q + 1).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + -8 + 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 296 + 261. What is the fourth smallest value in -0.2, 11, 1, v?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3677028, -3\/8, -0.5 in descending order.\nAnswer: 3677028, -3\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.4 (c) -42\/5 (d) 443 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 13*y + 12 - 6)*(2 + 3 - 4) + (3*y - 2*y + y)*(0 + 0 - 2) + 29*y - 28*y + 78 - 28.\nAnswer: -16*y + 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*n**4 - 39 + n**2 - 3887*n**6 + 3888*n**6 - 64*n**4 - 24 wrt n.\nAnswer: 120*n**3 - 1392*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (186\/(-2))\/((-11)\/(-8) - (3 + 525\/(-200)))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + j + 1 + 2 = 0, -2*r - 6 = j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - b + 4. Let g = 27 + -30. Let t be n(g). Let s(p) = p**3 + 2*p**2 + 3*p + 3. Determine s(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 - 10*p**2 + 13*p - 30. What is the tens digit of c(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from zykdkyyy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37173.\nAnswer: 3, 12391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1118b - 7?\nAnswer: -11196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 4. Let x(p) = -5*p - 16. Let m(h) = 4*r(h) + x(h). Let t(j) = j**2 - 11 - 3*j + 3*j. What is t(m(o))?\nAnswer: o**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 2, q: 9, v: 1}. Give prob of sequence qv.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f - 4*f - 1 + 17*f)*(-f - 2847*f**2 - 5 + 2845*f**2 + 7*f).\nAnswer: -14*f**3 + 44*f**2 - 41*f + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-132)*2*-2*2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssp when three letters picked without replacement from pispgspgpnpigpsogp.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-4 - (4 - 9)). Suppose -l*v = 2*v - 35. Which is smaller: 0.2 or v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69586447\/12 - -5789857. Let q = -9003 - n. What is the common denominator of -119\/6 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.66 + 1.66. Which is the closest to -1? (a) 0.3 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5165 - -5170. Determine n, given that 0 + 2\/5*n + n**4 + 7\/5*n**2 + 9\/5*n**3 + 1\/5*n**o = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnom when four letters picked without replacement from mnnnmmmnnonnmnnmnmm.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 5) + (-15 - 2) + 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -212010100 (base 3) to base 14\nAnswer: -6201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56.1 + -17.9. Let n = t - -74.00000207. Round n to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.59 - 4. Round i to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -2*f**4\/9 - f**3\/9 - 13*f. What is u in z(u) = 0?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -23 + 19 - 50) + 5.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 1053581*o - 2106912*o + 1053358*o.\nAnswer: 2*o**3 + 27*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8876, 8958, 9040, 9122, 9204?\n\"Answer: 82*p + 8794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 28130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1331224 + 222?\nAnswer: -1331002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/5 + 24951*s\/5 - 5214852\/5.\nAnswer: 3*(s - 204)*(s + 8521)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 5*f**2 - 8*f - 6. Give h(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 242121 divided by 15\nAnswer: 80707\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10030308 minus 22.8?\nAnswer: 10030285.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41703039*7.\nAnswer: 291921273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 5*r**4\/24 - 5*r**3\/6 - r**2\/2 - 4*r. Let i(n) be the first derivative of o(n). Differentiate i(c) with respect to c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 + 3*d**3 - 3*d**3 - 5*d**3 - d**3 + 4*d**3 + (11*d - 2*d - 4*d)*(d**2 + 0*d**2 + d**2) to j*d + s + m*d**3 + x*d**2 and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7332893.\nAnswer: 47, 156019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + -2*sqrt(468))*-1*3 - 1*-1*sqrt(468)*2.\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3286 - 0.0221.\nAnswer: -3286.0221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 54. Give n(-18).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*j**3 - 17578*j + 51 + 35162*j - 17585*j - 2*j**2 as g*j + u*j**2 + o + q*j**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 16. Let f(y) = 228*y**2 + 1372*y + 24. Let b be f(-6). Let j(u) = u**2 - 2*u - 1. Let r be j(3). Solve b - z = r*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, l: 2, w: 3, r: 1, m: 6}. What is prob of picking 2 w?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**2 + 3*s - 4. What is the smallest common multiple of h(4) and (-1*3\/2)\/(20 - (-67946)\/(-3392))?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.4 (b) 0.02 (c) 3.13 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00442 rounded to 4 dps?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1771, -3552, -5345, -7150, -8967, -10796, -12637?\n\"Answer: -6*t**2 - 1763*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*g - 19 = 0, 0 = -5*h - 11*g + 8*g + 52. Suppose 7 - h = -4*n. Solve -s + 2 - n = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - 18. What is the units digit of u\/(-48)*30\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*r + 14*r + 164*r - 24*r + 0*r + 0*r + r + (-1 + 2 - 3)*(0 - 2*r + 0) + 3*r - r - 4*r + 3*r + 2*r - 4*r.\nAnswer: 219*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (2 + 6 - (9 - 6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**2\/5 + 26085042*p\/5 - 170107354035441\/5 = 0.\nAnswer: 13042521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 41283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882254 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -23*m + 21. Give y(4).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53136.0356 rounded to the nearest one hundred?\nAnswer: 53100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f**3 - 23*f**3 - 27*f**3)*(10*f**2 + 7*f**2 + 8*f**2).\nAnswer: -1475*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 6:00 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*i - 3, 3*i = 5*b - 0*i - 13. Factor -94*z**3 - 36*z**b - 14*z**3 - 31*z + 28*z.\nAnswer: -3*z*(6*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c - 42. Let x be j(18). Suppose -3*w + x = -d, 0 = -3*d + 4*d + 4*w - 2. Let n(a) = 7*a + 37. Let s be n(d). Sort 0, 1, 2, s.\nAnswer: s, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2 - 72*s - 8. Give b(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9355 from 90651797.\nAnswer: 90642442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*h*x**4 - 170*h wrt x.\nAnswer: -100*h*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -19*t**3 + 6*t**2 + 9*t - 2. Let i be v(6). Let o be i\/(-6) + 6\/9. Let n = -120 - o. Round n to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150*-25.44.\nAnswer: -3816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32788802*m**2 + 12147000*m + 1125000.\nAnswer: 2*(4049*m + 750)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 9 = -p. Suppose 2*h = -3*h + 100. Suppose 2*c - 4*w = -h, -w - 4*w = 5*c - 25. Sort c, p, -1.\nAnswer: -1, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.972 + -5.3. Let c = -2.145 - -2.01. Let v = c - g. Round v to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfwfiiqwwtwwfwi. What is prob of sequence wi?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*s**2 - 452*s**3 - 29*s**2 - 108*s**3 - 422*s**3.\nAnswer: -982*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-8\/11)*g**(2\/11))\/((g\/(g\/g**(2\/109)))\/g*g\/(g**(-2)*g)))**14 assuming g is positive.\nAnswer: g**(-26250\/1199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(75) - (3 + sqrt(75) + 0))*-4 + 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + sqrt(175) + 1 + sqrt(175) - ((sqrt(175) + 2)*1)**2).\nAnswer: -174 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 280 - 67. Let s = b - 208. Let w = -1 + 4. Sort -1.1, s, w in descending order.\nAnswer: s, w, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/21 - 37\/168. Let y be (1\/1)\/(10\/(-4)). Let h be 168\/(-72)*2\/7. Which is the third biggest value? (a) y (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.942 - -18. Let j = l + 0.042. Which is the nearest to 0? (a) j (b) 3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1463 + 1515. What is the remainder when 88 is divided by r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/15)\/(68*4\/(-40)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1733 + 1987. Suppose 5*w = 4430 + n. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 - 3*q - 2. Let s(c) = c**3 - 2*c**2 - 23*c - 8. Let x be 72\/20*4\/(36\/15). Let z be s(x). Determine m(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 10:31 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 5*x**2 - 5*x + 7. Let q be o(-6). Let d be 10*(q - 3)\/(-4). Let v be (0 - (-3 - 2))*(-2)\/5*-1. Solve -v*u - f - 22 = -5*f, -f + d = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, t: 1, x: 4}. What is prob of sequence xe?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1319904, 5280813, 11882328, 21124449, 33007176?\nAnswer: 47530509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z. Let y(u) = -u + 1. Suppose b + 11 = 12. Let p(f) = -5*f + 4. Let x(h) = b*p(h) - 4*y(h). Give l(x(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 f, and 1 l when four letters picked without replacement from {l: 3, x: 1, n: 2, w: 7, f: 5}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a + 133 = 0. Let w(q) = -q**2 + 19*q - 71. Let f be w(10). What is the greatest common divisor of a and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117261 by 909.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3 - p**3)*(2*p**2 - 3*p**2 + 3*p**2).\nAnswer: -2*p**5 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 403 divide 44300984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13345, -13639, -13991, -14431, -14989, -15695?\nAnswer: -16579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30\/12*846\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 15870*l + 79324. What is z(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**6\/70 - 12*i**5\/35 + 41*i**4\/28 - 13*i**3\/7 - 2752*i - 1. Suppose d(c) = 0. Calculate c.\nAnswer: 0, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -3927.\nAnswer: -3926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 - 31*v + 292. Let a be l(-22). Let y(b) = -6*b**2. Let m(r) = -5*r**2. Determine a*y(x) - 7*m(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188 and 3116582972?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1 + 0 - 1 - 1 + (-4 + 4 - 2)*(-4 - 1 + 3))*(-2 + 2 + 1)*(72*q - 4145 + 4145)*(-4 + 5 + 0).\nAnswer: -72*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33467 divided by -1292?\nAnswer: -33467\/1292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3535689773?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 + 12*j - 6. Let g be (-51)\/(-119) + (59\/(-7) - 0). Is 30 a factor of i(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687*k = 570*k - 1053 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 20*m + 11. Let x be l(-1). Calculate the remainder when 0 + 56 + (-10 - x) is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22208199.\nAnswer: 3, 13, 311, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 872.4001 kilometers?\nAnswer: 872400100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1104 divided by 4\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 - 8 = 0. Let q be 0*b\/(1 + -4). Solve q*p - p + 27 = 5*m, 5*m = 25 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1507, 3012, 4521, 6034, 7551?\nAnswer: 9072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -419*k - 2095. Let b be w(-5). Let r be 1\/4*(-4)\/81. Which is greater: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3602.42 rounded to the nearest ten?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106005 - 53?\nAnswer: -106061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 792\/5, 0.3, 3\/5?\nAnswer: 792\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -2*b - 2*v, -b - 2*v - 124 + 162 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167 + -163. Suppose 5*m - 5997 = -3*h, -3602 = m - u*m + 2*h. Does 24 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*(q**(2\/5)*q*q)\/q))**(2\/19))**(1\/14) assuming q is positive.\nAnswer: q**(-1\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 668\/20 + (-2)\/5. Suppose c + 5*m = -0*m - 11, f = -3*c - 3*m. Let l(z) = -z - 3. What is the units digit of l(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4135, -8271, -12407, -16543?\nAnswer: -20679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 8*h**2 + h - 1. Suppose 264*m - 246 = 305*m. Determine d(m).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 6. Let y be d(8). Let n(f) be the first derivative of f**2\/2 - 5*f - 346. Determine n(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j**2 + 6*j + 10. Let k be a(-11). Suppose 0 = y + 7246 + k. Round y to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86978598?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7193 + 30499. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 36, 68, 102, 132, 152, 156?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -e231 (base 15) to base 7\nAnswer: -256126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47638 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wewnj. What is prob of picking 1 e and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2968 and 318.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1702 at most 5650?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g. Let a be 0\/4 - (-3 + 0). Let h(q) = 7*q - 2*q - a - 6*q + 1. Let t(v) = -5*v - 9. Let w(r) = 9*h(r) - 2*t(r). Give w(b(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*v = 39*v - 16891. Solve 9*u + v = 151 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from mhhhghgmghhhhhh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 4:43 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 198990*v**2 + 426801.\nAnswer: 397980*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uudquuqutneuuquq. Give prob of picking 1 d, 1 t, and 1 n.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/10 - 1 - 2686\/395. Sort 5, 3, -2, a.\nAnswer: a, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 41 + 6*w**2 + 138 - 48.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -17*f - 34. Suppose 0 = 13*p + 125 - 580. Let a(r) = 20*r + 3*r + p - 4*r. Let d(c) = 7*a(c) + 6*s(c). Differentiate d(g) with respect to g.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnniiiih. Give prob of sequence hiin.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 18, -44, -160, -348, -626, -1012, -1524?\nAnswer: -2180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44\/15 in 2\/19, -5, 0.5, 35?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2525424 - -260?\nAnswer: -2525134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(15\/4)\/5. Let p be 10 - -2*y\/3. Suppose -4*f + f = -p, -5*i - 4*f + 56 = 0. Calculate the greatest common factor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 109402879 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 3*f - 3*f)*(f - 1 + 1) + (4*f**2 + 0*f + 0*f)*(0*f + 3*f - 2*f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 50*y - 3. Is n(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from syyjjjyjyjjnj. Give prob of picking 2 j and 1 n.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Solve 1 = w - 2*w, 7 = 3*x + j*w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*m + 464*m - 2 = p, 2*p - 11 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 + -9.2. Let m = 2371 + -2370. Let h = -0.2 - -0.3. What is the nearest to m in h, -3, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 6:40 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -78*h**3 - 543*h**2 + 123*h + 719. Determine x(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -456721 (base 9) to base 11\nAnswer: -177916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 m, and 1 x when three letters picked without replacement from {c: 2, m: 5, x: 1, k: 1, b: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 79*q**2 - 430*q - 39629. Calculate v(-78).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105755477.\nAnswer: 31, 691, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 21*l**2 + 9*l + 15. Let u(h) = -8*h**2 + h + 28. Let d(t) = -2*t**2 + t + 13. Let y(k) = 7*d(k) - 3*u(k). Give -6*q(j) + 13*y(j).\nAnswer: 4*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107 - -183. Let w = l + -68. Solve 3 = -3*b + 2*r, -5*b + r - 4 = w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3 - 753870*h**2 = 0. Calculate h.\nAnswer: 0, 376935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 21*i**2 + 43*i - 73. Give s(-23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11879657 divided by -9?\nAnswer: 11879657\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2115971 is divided by 1057976?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49710.9km to micrometers.\nAnswer: 49710900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 3 + 0 + 8 + -8\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*c + 80, 4*s - c - 307 - 6 = 0. Let v = s - 1797\/23. Suppose 5*o - 5*l + 40 = 0, 5*l + 64 = 99. Which is bigger: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 911.99999393 - 912. What is p rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - q - 78 = 0, -1 = -u + 3*q + 9. Let z = 20 - u. Let d be (5 + -1)*4\/z. Solve -2*w - d = 2*w, -4*y = -4*w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49365?\nAnswer: 3, 5, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 3, 0.27, -3, 0.\nAnswer: -3, -5\/2, 0, 0.27, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 9 + 5. Suppose 0 = 2*b - 27 - 45. What is the derivative of -44*r**4 - x + b*r**4 - 1 wrt r?\nAnswer: -32*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1556.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1288\/1196*52\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0108426726 rounded to six decimal places?\nAnswer: -0.010843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413636*z + 31824 = 413012*z for z.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*c - 21*b**2*n**2 + 10*b**2*n - b*c**2*n**2 + b*c**2*n - 2*c**3*n**2 + 10*c**3*n wrt n.\nAnswer: -42*b**2 - 2*b*c**2 - 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9164*r + 9165. Let n be k(-1). Let u = 9 + -5. Solve -2*t - 2*s = -6, u*t - 5*s + n - 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/(-6))\/1)\/((-1641)\/(-4923))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-76))\/((-19)\/(-361)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -7 - 1*-10. Let i(o) = 4*o - 7. Let h(b) be the first derivative of b**2\/2 - 2*b + 3. Determine j*i(z) - 21*h(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20229 or -0.05?\nAnswer: -20229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/38068 and 65\/62.\nAnswer: 38068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 481274?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 8*s + 10. Let j be z(7). Let v be ((-18)\/99)\/((-4)\/88). Sort -6, v, j in descending order.\nAnswer: v, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -15. Suppose -4*k - 3*c + 28 = c, v = k + 2*c - 9. Do k and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-176)*(15 + -19). What is the nearest to -2 in q, 4\/7, 2\/5, -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 30*w - 194. Determine n(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/180 and 19\/235485.\nAnswer: 941940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + 0 - sqrt(343))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k + k - 4*k)*(4 + 0 - 3)*(1844*k - 5009*k + 2282*k)*(0 + 0 + 2*k) to the form b*k + h*k**2 + c + y*k**3 and give y.\nAnswer: -3532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 473737 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12, -13, -104, -297, -628, -1133?\n\"Answer: -6*h**3 + 3*h**2 + 8*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from kxipbxkkbbkcbki.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 28*f - 29.\nAnswer: (f - 29)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.31 (b) 2\/9 (c) 1\/7 (d) 4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**3 - 9*s**2 - 25*s + 1. Let t(y) = y**3 - 2*y**2 - 5*y. Let a(z) = 11*t(z) - 2*w(z). Let l be a(5). Is -1 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in 1434, -157, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00091161365 rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-3 + 5 - (-142 + 131))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991 is divided by 124.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 341 and 2098342.\nAnswer: 715534622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32421 and 963?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a1 + -227a6?\nAnswer: -22867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**5\/2 - 2*b**3\/3 - 3*b**2\/2 + b. Is f(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 4*w**2 - 5*w + 3. Let n be 2\/9 + (-172)\/(-36). Let r be b(n). Put -1\/7, -5, r, 2 in increasing order.\nAnswer: -5, -1\/7, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-8)\/(-4) - (-66)\/(-78).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 594490*q**4 - 1074467*q**2?\nAnswer: 14267760*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from bbqbbbbq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 5*u - 24*u - 272 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -6*k + r - 129, -37 = 2*k + 5*r. Let l = -22 - k. Let w = l + 2. Calculate the greatest common factor of 121 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 4*r + 10, 0*i - 3*i - 3*r - 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d + 12. Suppose h + 88 = 5*h. Calculate the remainder when h is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10009\/63 - 1585\/7. Put 2\/15, g, 2 in increasing order.\nAnswer: g, 2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014558.\nAnswer: 2, 3, 169093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4759 + -3295. Suppose 2*r = 6*i - 3*i + w, 0 = 4*i. Calculate the remainder when r is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10933.3, 1, 0.005 in ascending order.\nAnswer: -10933.3, 0.005, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11716*v**2 - 8 + 10 - 2.\nAnswer: -11716*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 - 36*n + 8. Let a(c) = 2*c**2 - 18*c + 4. Give -5*a(l) + 3*m(l).\nAnswer: 2*l**2 - 18*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 12. Let i be x(-15). Let s(a) = a**3 + 4*a**2 - 4*a. Let c be s(i). Calculate the greatest common divisor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6 = 0, 4*i + 0*j + 2*j = 18. Let b be ((i + -2)*0)\/(-3). Suppose -4*c - 3*y + 59 - 13 = b, -3*c = -2*y - 43. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -32259081.\nAnswer: 32259081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {b: 4, v: 1, a: 3, d: 12}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 4:11 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*22\/(-49))\/((-16)\/28).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28797692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 604906 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: Is 4487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/6 - 1)\/(2\/(-12)). Suppose 22 + 10 = 2*p. Suppose -q = 3*q - p. Put q, v, 1 in ascending order.\nAnswer: v, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58799063 divided by 23\nAnswer: -2556481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 21*y + 27. Let w(c) = -3*c - 4. Let q = 260 - 256. Let i(p) = q*a(p) + 27*w(p). Let l(d) = -29*d. Give l(i(x)).\nAnswer: -87*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-15)*((-3)\/17)\/(-1). Which is the second biggest value? (a) 1\/4 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 9)*30\/14. Suppose 20*h - 480 = b*h. Let z = h - 95. What is z rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 51 = 42. Suppose n*j = j + 368. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 97*c**3 + 4*c**2 - 9. Let w(b) = -4 + 48*b**3 - 9397*b**2 - 9411*b**2 + 18810*b**2. Calculate -9*w(f) + 4*y(f).\nAnswer: -44*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**7\/210 + 2063*p**6\/600 + 821*p**5\/75 - 137*p**4\/10 - 222*p**2 + 2*p - 3. Determine z so that y(z) = 0.\nAnswer: -411, -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68850 + 2365.4327.\nAnswer: -66484.5673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -q + 1, 2*m - 6*m - 16 = 5*q. Let x be -1 + 1 - (m - 8). Suppose x*h = 3*h. Solve 5*o = -h*r - 2*r - 23, -27 = -2*r + 5*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**2 + a**4 + 0*a**3 + 18 + 4\/15*a**5 - 1\/1344*a**8 - 1\/240*a**6 + 0*a - 1\/120*a**7. Solve l(f) = 0.\nAnswer: -4, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-6) - (-5 - -1). Solve o = -2*a - 9, m*o = 2*a - 5*a - 26 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f + f - 4*f)*(-4 - 2*f + 4) - f**2 + 2*f**2 + 0*f**2 + 3*f**2 - f**2 - 3*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 411 - 84. What are the prime factors of c?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 324, 4, 1, 2 in decreasing order.\nAnswer: 324, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 1255?\nAnswer: -1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -57. Let j(s) = x - 1 - 2*s + 21. Is j(-6) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 2*g + 1. Let q be n(2). Suppose -15 = 3*j - 8*j. Is j less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(3 + 1*-2*sqrt(108) + 0 + 1 + sqrt(108) + 0).\nAnswer: -6*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1122 + 1382. Calculate the greatest common divisor of r and 715.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 1 + 4*g + 901*g**2 - 899*g**2 + 4. Suppose -3*b = -2*v + 5, 3*b = -5*v + 5*b - 4. What are the prime factors of j(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*b - 18312 + 5325 = 142*b for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*p**2 + 2*p**2 - 5*p**2 as x*p**2 + y + z*p and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-987)\/35 - (-2)\/10. Let l be (-8)\/w + (-4)\/14. Suppose 5*n + 4*x - 10 - 1 = 0, -2*x - 2 = 0. Sort n, -1, l in increasing order.\nAnswer: -1, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -238 by -34.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/5, -1\/3, 7\/568, -0.4, 82 in descending order.\nAnswer: 82, 3, 2\/5, 7\/568, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-8)*(10 - 2). What is the greatest common factor of m and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195 * -537.6\nAnswer: 104832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 + p**4 + 5 - p**3 - 9 - p**2 as w*p**4 + s + v*p + h*p**2 + k*p**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1178, -2298, -3418?\n\"Answer: -1120*p - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.083 + 185346.\nAnswer: 185345.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + 4 + (5 + sqrt(833)*1)**2 + 3.\nAnswer: 70*sqrt(17) + 857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0255 * -827\nAnswer: -21.0885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5282605 is divided by 469.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 600*h + 22500.\nAnswer: 4*(h - 75)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (2 - -1) - -14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -528.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1404.8 + 1391. What is the third biggest value in -3, t, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f + 542 + 549 + 548 - 1643.\nAnswer: -8*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-7\/3)\/(p\/p**4*p\/(p\/p**4)) assuming p is positive.\nAnswer: 1\/p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 103*r + 2344. Let p be k(-69). Let b(j) = -5*j**3 + j. Let x(z) = 26*z**3 + z**2 - 6*z. What is p*x(u) - 11*b(u)?\nAnswer: 3*u**3 - 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1178.067 + 1182.066955. Let t = 0.08 - -3.92. Let u = t - c. Round u to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*s - 2*z, 0 = 3*s - 7*s - z + 23. What is the remainder when 27 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - x. Let q = -27 - -30. What is u(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**5 + 5*v**4 - 57*v**3 + 416429*v**2.\nAnswer: 180*v**2 + 120*v - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 70*u - 43, -17*u = g - 16*u + 17 - 9 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2543107 to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11708\/455 - -336\/13. Let c(j) be the first derivative of -5 + 0*j + 3\/14*j**4 - 8\/21*j**3 - 4\/7*j**2 + u*j**5 - 1\/21*j**6. Factor c(d).\nAnswer: -2*d*(d - 2)**2*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 43 = -21. Calculate the greatest common factor of s and 1136.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 791 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -199.4528 rounded to 0 decimal places?\nAnswer: -199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 13*h + 49. Let v be f(-10). Solve v*p + 4 = 15*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1516347214 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 1, h - 31*l + 1 = -32*l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4512.45 decades in months?\nAnswer: 541494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x - 37*x = -21*x + 57 + 243. Let i = 7 - -8. Calculate the highest common divisor of i and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y + 56. Suppose 9*i - y*i = -45. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575206.\nAnswer: 2, 19, 15137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2 - 2)*(-5 + 2 + 2) + 2*h + 0*h - h + (-303 - 827 - 5554)*(-3*h + 2*h + 2*h).\nAnswer: -6681*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b - b + 3*b)*(5 - 5 - 3*b + (4 - 1 - 5)*(-b - 2*b + 4*b) - 7*b - 3*b - 9*b) to d*b + g*b**2 + p and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 2*i**2 - 6*i - 14. Give y(-6).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32030302 (base 4) in base 7?\nAnswer: -331366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 459*o - 4596. Give r(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 102942.\nAnswer: 205884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-5)\/4 - -2). Let m be 4\/14 - (-198)\/42. Suppose -s + 6*s - m = -2*y, -2 = -w*s - 2*y. Solve -s = 2*t - t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 769869.036 rounded to the nearest one thousand?\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2430) + (sqrt(2430)*2 - sqrt(2430)))\/(sqrt(60)\/sqrt(864)).\nAnswer: 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -125 + 24 + 70 - -57?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmmddodxdydxddodd. Give prob of picking 1 m and 1 o.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 6*l + 8. Let f be u(2). Suppose -2 + f = -v. Let o be 1\/(10\/4 - v). Solve -1 - 5 = o*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w**4 + 7 - 5 - 248*w**3 + 292*w**3 - 11*w**4 + 3*w**4 in the form a + x*w + s*w**4 + t*w**2 + r*w**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s + 4330564257 - 4330564257.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-5))\/((2448\/45)\/8)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, -0.4, 0.0129991, -0.08 in decreasing order.\nAnswer: 0.0129991, -2\/27, -0.08, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2904\/1022431?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-150))\/((-6)\/4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4006.\nAnswer: 2, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 + 222 = 48*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2999 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9815386?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226, -452, -678, -904?\nAnswer: -1130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -41 and 3993.\nAnswer: 3952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39125 and 7199?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1560\/80 + 15\/(-1))\/((-6)\/40).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*v = 4*v - 26, -4*v - 10 = -5*o. Let x(i) = -26 - 7*i - o*i**2 + 26. Let u(j) = 5*j**2 + 6*j. What is 5*u(b) + 4*x(b)?\nAnswer: b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1179*s**3 - 67*s + 4*s**2 - 4*s**2 - 7024*s**3.\nAnswer: -5845*s**3 - 67*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**2*w**3 + 17*f**2*w + 3966537*f*w**4 - 67420*f*w - w wrt w.\nAnswer: -12*f**2*w + 47598444*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 5)*(-5*f**2 - 8*f + 8*f) + 9 + 2*f - 7 - 5 - 2*f**2 to the form n*f + s*f**2 + g and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.783 - -0.4?\nAnswer: -1.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in -0.8, 2\/11, 3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (8 + (-26 - -14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -10. Let g = -10 - k. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3139331 times -93?\nAnswer: 291957783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -61. Solve 2*j - 1 = 3*o + n, 5*o + 12 = 2*j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -35*(1 - (-2 + 4)). Suppose -z + 465 = 5*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13537438*l**6 - 10720748*l**2 wrt l?\nAnswer: 1624492560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 4 = -5*t. Let c(k) = k**3 - 5*k**2 + 6*k - 5. Let z be c(t). Let g be 104 + 0*z\/15. What is the highest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(2*u + 0*u - 5*u)*(-2*u + u + 0*u).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*v - 2. Let x be v - (0\/(-2) + -2). What is the common denominator of -21\/10 and -2 + (-23)\/(-7) - x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 10*t - 1. Suppose -5*w - 15 = -4*z - 2*w, 0 = -3*z - 2*w + 7. List the prime factors of d(z).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b + 186*q = 181*q - 10 - 10, -5*b = 6*q + 24 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 4*c - 29, -29*o - 197*c + 4 = -198*c - 32 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 12:33 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 109*z**2 - 805*z - 186. Give c(-7).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*w - 10 + 10 + (-2*w - 8*w + w)*(5 - 6 + 8) to g + x*w and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37334 + 21147.\nAnswer: 58481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 15, -15, -63, -135?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 4*v**2 - 12*v - 4. Let s be r(6). What is the nearest to -16 in s, 1, -3\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -225901*f*g**6 + 9*f*g**5 + 14*f*g**2 + 9969*f*g wrt g.\nAnswer: -27108120*f*g**3 + 540*f*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 912 = 2*j, 2*j - 4*j - 450 = -2*f. Let p = -227 + f. Solve -16*z + 17*z - 5 = p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 6440613?\nAnswer: 6440606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 38 = -5*j - 96, -22 = -19*o + 5*j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 355 + -229. Is f a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**5\/60 - 3*m**4\/8 - 5*m**3\/2 - 8*m**2. Let f be q(11). Suppose 3*k**2 + k**3 - 13*k**3 - f*k**2 = 0. Calculate k.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -16*w - 196. Calculate the remainder when 108 is divided by p(-14).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 3:11 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v = 20*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2504 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*s + 30 - 11*s - 30 to h*s + j and give h.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 6:29 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-5\/4))**(-2\/113)\/(s\/((s*s**(-2\/35)\/s)\/s))**44)**22 assuming s is positive.\nAnswer: s**(-7879113\/3955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/12)\/((-35)\/20) - 3825\/(-119). Solve 67 = 33*t - v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189382 and 11066496.\nAnswer: 254529408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -458 - -488. What is the greatest common factor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*t - 144028, -6*w + 8*w - 86430 = -3*t. What are the prime factors of t?\nAnswer: 2, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(100)\/(-1*sqrt(605)) + (sqrt(60)\/sqrt(3)*3 - (1 + sqrt(20) + 1))**2.\nAnswer: -178*sqrt(5)\/11 + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 22, -2\/5, 1963, 2, 3\/7 in ascending order.\nAnswer: -2\/5, 2\/19, 3\/7, 2, 22, 1963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, d: 5, c: 1, y: 10, v: 2}. Give prob of picking 1 j, 2 c, and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -17, -51, -103, -173, -261, -367?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 5, -374 in descending order.\nAnswer: 5, 4, -5, -374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - f = 0, -2*o = -o + 3*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y - 21. Let w be s(31). Let m = w - 44. Calculate the highest common divisor of 168 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.483 * 14087\nAnswer: -34978.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 49788 + 23665 - 2*y - 7067.\nAnswer: y + 66386","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 644 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93396 is divided by 3201.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -25*d - 20. Let f(z) = 8*z + 7. Let l(r) = -17*f(r) - 6*v(r). Let n be l(-2). Let u = n + 52. Calculate the remainder when 74 is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-561)\/2057 - 196840\/(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/3)\/(k*k\/(k**(10\/7)\/k)) assuming k is positive.\nAnswer: k**(-19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49358149 rounded to three decimal places?\nAnswer: -0.494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(192)*-2 - sqrt(192)) + -2*sqrt(192)*-4)*-1.\nAnswer: -40*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j - 37*j = 4. Let y be j\/7 + 88\/(-1386). Which is the nearest to -1? (a) -0.2 (b) y (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -201*p - 368 + 741 - 373 to m*p + w and give m.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j. Suppose s = 6*s - 25, -5*o - 2*s = -20. Let t be k(o). Solve 2*d + 0*d - t = 0, 0 = -3*b + 3*d - 24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1*3\/6*16 and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13 - -4.87. Let t = -0.01 - 2.99. Let q = t - 0. Which is the nearest to -0.1? (a) n (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**2 + 4*b + 4. Let u = -25 - -17. Does 10 divide t(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287304659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (1 - -1) - (-13 + 9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29771 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -793, -804, -821, -844, -873, -908, -949?\n\"Answer: -3*g**2 - 2*g - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9879022 centimeters to meters.\nAnswer: 0.009879022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -o + 21, -28*r = -4*o - 25*r + 84. Is 236\/11 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -3*y + 26, -4*y - 2*i = 1 - 19 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 23*r - 13. Suppose 4*f = -f - 85. Calculate the remainder when o(f) is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 10 = -5*y. Let c(l) = -16*l + 16. What is the tens digit of c(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.273774 micrograms in milligrams?\nAnswer: 0.000273774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 + 168*v**2 - 84)*(6*v + 20*v + 25*v).\nAnswer: 8568*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/15 + 36\/20. Let i(y) = -y + 0*y**2 - y**t + y. Calculate i(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2da16 - 5?\nAnswer: 2da11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32\/13*o**2 + 2\/13*o**5 + 0*o**3 - 32\/13*o + 0 - 8\/13*o**4 = 0. Calculate o.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4999590.\nAnswer: 2, 3, 5, 18517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/9*86\/(-215)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 13*s - 9. Let r be j(1). Let v(a) be the first derivative of 2*a + 1\/2*a**2 + r. Let c(u) = 2*u + 4. What is 3*c(n) - 5*v(n)?\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 119, 10, 1497.\nAnswer: 2, 10, 119, 1497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d + 0*d**2 - 3*d + d**2 + (-13*d**2 - 13*d**2 - 8*d**2)*(-5 + 0 + 2) + 4*d**2 - 3*d**2 + 2*d**2 in the form s*d**2 + c*d + r and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201049*g**2 + 379395*g**2 - 178337*g**2.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x - t - 462, -4*t = -4*x + 376. Suppose -5*d + 7*d = 4. Suppose -22 = d*f - x. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2. Let t(a) be the first derivative of a**2 + a + 47. What is t(l(s))?\nAnswer: 4*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 400511372 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 3*r**2 + 3*r - 20. Let y(s) = -6*s**2 - 66*s - 183. Let m be y(-6). Let c(h) = 2*h**3 - 8*h**2 - 8*h + 60. Determine m*c(t) - 8*b(t).\nAnswer: 2*t**3 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 452 + -218. Let q = -233.8 + x. Is -3 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2237 is divided by 549?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b - 9. Let y = -666 - -314. Let s = y - -349. Let o(j) = -5 - 4*j + 0*j + 2*j. Calculate s*a(m) + 5*o(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b = -46, -3*o - 63*b = -62*b + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2882 (base 15) to base 9\nAnswer: 12805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24232306*d**2*g**2 - 2*d**2 + 44*g**2 + 177324*g - 1 wrt d.\nAnswer: -48464612*d*g**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/35 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(153) + 3)**2 + -5 + (sqrt(187) - -3*(sqrt(187) + 3*sqrt(187)))\/sqrt(704).\nAnswer: 205*sqrt(17)\/8 + 611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 901734 and 1096?\nAnswer: 3606936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1446 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -754, -1511, -2250, -2959, -3626, -4239?\n\"Answer: 2*d**3 - 3*d**2 - 762*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b = -156*b + 1904. Solve -21 = 3*n - 5*r - 1, -3*n - 4*r + b = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15375)\/(-525) - 39)\/((-2)\/7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.1. Let c = 333 + -334.3. What is the nearest to l in c, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x**3 + 2*x**2 + x. Let z be n(-1). Let a(c) = -c**2 - 4*c + 3. Let f be a(z). Let o(k) = 0*k + 2 + 2*k + 0*k - 4 + 4*k**2. Calculate o(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 6*j - 5. Suppose v = -v - 14. Let w be n(v). Let t(p) = p**2 - 10*p + 3. Let u be t(10). Solve b - u = -w*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 26*x = -6139. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*l + 1265400 = 0. Let x be (l\/(-14))\/(123211\/15400 - 8). Round x to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**4 - 5*m**4 + 4*m**4 + (-9 - 3 + 3)*(5*m**4 - m**4 + m**4)*(-6 - 3 + 2).\nAnswer: 317*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g + h = 5, 0 = 4*h - 20. Suppose 4*o + 2*w - 2 = -4, -2 = -o + 2*w. Suppose o*j = j, g = 3*x - 3*j - 21. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 335*o**2*w + 37180*o**2 + o*w**2 - 2*o*w - 4*w**2 wrt w?\nAnswer: 335*o**2 + 2*o*w - 2*o - 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 277*x - 4099 + 1052 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 8*b - 7. Suppose -8*d + 4*d - 36 = 0. Let f be r(d). Suppose 2*o - 16 = -2*o. Solve -3*p + o = -f*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11301 (base 4) to base 6\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1329, -4, 2, -106, -5 in descending order.\nAnswer: 1329, 2, -4, -5, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 304?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9220379149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m**3 - 13373*m**2 + 13373*m**2 + 7*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5713*z - 74*z - 616*z as v + y*z and give y.\nAnswer: 5023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -372, -549, -720, -885, -1044?\nAnswer: -1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2*j = -22, 3*r + 18 - 60 = -4*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -523 + 528. Suppose 2801 = h*b + 231. What is the remainder when b is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38806.\nAnswer: 2, 19403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + -0.42. Let r = -0.2 + 0. Let t = -0.3 - -0.5. What is the nearest to r in l, 0.5, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**3\/5 + 7157871*g**2\/5 + 4269575209653*g\/5 - 4269610999083 = 0.\nAnswer: -1192981, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8*v - 8. Let n be c(-7). Let a = -447\/7 - n. Let j = 0.2 - 0.2. Sort a, j, -5.\nAnswer: -5, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 30\/817, -0.5, 3\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14, 12, 10?\n\"Answer: -2*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 18*s**2 - 100*s. Let n be k(-15). Calculate the greatest common factor of n and 675.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*y - 7. Let h = y - 0. Differentiate q**4 + 1 + 2*q**h - 2*q**4 with respect to q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 259.17.\nAnswer: 1036.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*z - 305 + 369 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c**2 - 117*c + 698. What is the ten thousands digit of m(64)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/12408 and 29\/19170?\nAnswer: 39643560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i - 49 + 14. Let l(s) = 2 + 6*s - 766*s**2 + 1490*s**2 - 729*s**2 - s**3. What is l(i)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 10:27 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -7, -6, -3, 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 19635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -151 times -5\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 + 95. Suppose -f + 7 = 4*w. Let t(a) = -20*a**3 - a**2 + 1. What is t(w)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 3*g + 4. Let l be x(5). Suppose 3*t - l = 10. What is the lowest common multiple of t and (-2)\/(-6)*90\/3?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161051414?\nAnswer: 2, 80525707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*o**2 - 109*o**2 - 88*o**2 + 392*o**2 - 79*o**2.\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.261293 to 1 dp.\nAnswer: -87.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.0006633, 5\/2, 10 in decreasing order.\nAnswer: 10, 5\/2, 0.0006633, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) 22.13 (c) -8 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/25 + 6\/(-5). Let l be (2 + t)*(12 - 11). Which is bigger: -51\/11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 53 = r + 168, 77 = l - r. Suppose -2*x = -4*b + 50, 4*x + x - 40 = -b. Calculate the remainder when l is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 9:07 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 - 79. Solve 2*f = 4*o - 6 - 0, 5*o + r*f = -12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54029300 to the nearest 100000.\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.11803 rounded to one decimal place?\nAnswer: 171.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13798039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1640 + -1372. Calculate the remainder when m is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-15))\/((-856)\/168 - -5). Solve -3*j = f - z*j, -5*f + 25 = 5*j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 432 = -13*t. Suppose 0 = 5*n + 2*h - 1236, -4*h = -2*n + 612 - t. Suppose 3*s = 5*y + 6*s - 404, -3*y + s = -n. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1. Let f(s) = -3*s**2 - 3. Let i(u) = f(u) - 3*v(u). Let z(o) = -o. Determine i(z(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1396*j + 160 = 1376*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 - (-4)\/10. Let m(g) be the second derivative of 1\/6*g**3 + 1\/12*g**4 + 0*g**2 - 2*g + t. What is the second derivative of m(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/12 + -2 + (-6)\/4. Suppose k = -1, -2*f - 2*k = -f - 1. Which is the nearest to -1\/3? (a) o (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1558637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2155628*z - 246607 wrt z?\nAnswer: 2155628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1495 (b) -11\/3 (c) -0.2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + s - 2. Let z be ((-12)\/(-16))\/(3\/8) - 4. Let p be q(z). Solve g - 12 = 4*f - p*g, -5*g = 5*f + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1 + 11 = 0. Let f(n) = 24 - n**g + 2*n**3 + 14 + n**2 + n. Is f(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 53 = -11. Suppose -17 + d*v**2 - 2*v + 17 = 0. What is v?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4135357 is divided by 14875.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = -2. Let o be 7\/((-10)\/a + -3). What are the prime factors of (18\/o)\/((-2)\/(-14))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 6*v**2 - 10*v - 16. Let h be 83\/(-7) + (-1)\/7. Let i be (-99)\/h + (-6)\/24. What is the tens digit of q(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127 - -130. Suppose t + 20 = -c*b, 5*b + 8 = 4*t + 3. Let a(h) = -h**3 + 5*h**2 - 5*h + 4. Let i be a(4). What is the biggest value in -0.1, b, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5452.2 - -5452. What is the closest to -3\/5 in a, 1, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**4\/4 + 4*y**3\/3 - 13*y**2\/2 - 8*y - 52. Let h be g(-6). What is the closest to 1 in h, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 139*v - 91110. Let t(i) = i. Determine t(c(h)).\nAnswer: 139*h - 91110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - 35 - 7*l**2 - 3*l**2 to the form y + h*l**2 + o*l and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 8:30 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33255? (a) 2\/15 (b) -3 (c) -5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -9*n**2. Let d(p) be the first derivative of -7*p**3\/3 - 26. Calculate f(d(m)).\nAnswer: -441*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**5\/4 - 35*v**4\/12 + 20*v**3\/3 + 40*v**2 - 22*v. Solve d(p) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-188 - -186) + (0 - 1) + -14 + 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31439 - 60927\/2. Let f = 980 - b. Let 0 + 3\/2*n**2 - 9\/2*n**3 + 0*n - 3\/2*n**5 + f*n**4 = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 610611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35493297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 331*l**2 + 150*l + 1132. What are the prime factors of q(-7)?\nAnswer: 16301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 11:06 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6*z = 3*z + 7, -u = -5*z + 21. Let c(g) = g**2 + 4*g - 2. Let m be c(-5). Solve 3*q - m*d = -0*q + 12, 0 = -u*d - 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from tfftfqztztfzzzx.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 0*j - 1\/2*j**2 + 5. Let s(o) be the third derivative of -o**5\/10 - 2*o**2. Calculate f(s(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -3. Let g = 27.75 + -27.35. What is the closest to -1 in s, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/5, 0.1, 0.4, -23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713932 is divided by 1583?\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from mlxkblxkkblbbddd?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = q - 3*r + 4, q = -2*r. Let c = 6 + -4. Let s be 1\/(-3) + (-20)\/(-6). Sort s, q, c in ascending order.\nAnswer: c, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.003 (b) -3\/2 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**3\/2 - 3*m**2\/2 + 6*m. Let q = -1 + 3. What is the units digit of k(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**4 + 2*z**3 + 3*z**2 + z - 3*z**4 - 3*z**2 - z**2 to f*z**2 + p*z**3 + w*z**4 + s*z + y and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(105) + sqrt(105) + sqrt(105) + 3*2*sqrt(105) + sqrt(105))\/sqrt(3))\/(-3*((sqrt(105)\/sqrt(5))\/sqrt(3) + sqrt(7)))*3)**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-94)\/(-329))\/(2\/14). Solve -4*m = 3*f + 3, t*f + 21 = -f + 2*m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -41. Calculate the remainder when 376 is divided by t\/48 - 319\/(-6).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, v: 3}. Give prob of sequence vvv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 1260. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) + 2*sqrt(144))\/(sqrt(48)\/(-1*sqrt(4))).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 252.3356 nanoseconds in milliseconds?\nAnswer: 0.0002523356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*(sqrt(396) - (sqrt(396) - sqrt(396)*2)) - sqrt(396)) + sqrt(396))\/((sqrt(81) - sqrt(9))*-5))\/((5*(sqrt(288) + 1*sqrt(288)))\/sqrt(8)))**2.\nAnswer: 11\/5625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(0 - (1 + 0)). Let v = -2850 - -2858. Is 10890\/v + s\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-74)\/9 + 334\/1503 - -2. Put r, 21, -17 in descending order.\nAnswer: 21, r, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -725, -1320\/7, -5 in decreasing order.\nAnswer: -5, -1320\/7, -725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5719*h**3*t - 5*h**3 - 2*h**2*t - 42965*h**2 - 717*h*t + 4 wrt t?\nAnswer: -5719*h**3 - 2*h**2 - 717*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-4))\/(90\/8). What is the biggest value in q, -5, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -307, -730, -1315, -2056, -2947?\nAnswer: -3982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 = 37. Calculate the lowest common multiple of v and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -1.6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 + 20*m - 67)*(-3 + 18 - 7)*(6 + 4*m - 6).\nAnswer: 640*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1027 + -0.15206.\nAnswer: -1027.15206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3780 divided by 17.\nAnswer: -3780\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 106679000 rounded to the nearest 1000000?\nAnswer: 107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10738241 is divided by 5133?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 5*t**2 + 5*t - 2. Let q = -10 + 6. Let v be z(q). List the prime factors of 176\/v*(-15)\/10.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 - 56 = 10*w. Let n be (-9)\/1*w\/(-3). Let v = 5 + -2. What is the nearest to 0 in v, 3\/4, n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.97352 take away 3383?\nAnswer: -3287.02648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 8*h**2 - 12*h - 26. Let g be j(-7). Suppose 7*v - 4*v - g = 0. Factor 0*i**2 - i**2 + 2*i**3 - i**v - i**2.\nAnswer: i**2*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 7 (c) 157\/8 (d) -0.2 (e) -58 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 5*x - 9 + 30, 4*x = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 41 = 71 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12086.\nAnswer: 2, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3047.687 centuries in decades?\nAnswer: 30476.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - -55) + -4 + -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(((d*d*d**(-1\/4))\/d)\/d))\/d*d))\/d**(-7))**42 assuming d is positive.\nAnswer: d**(567\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/10 and (-132)\/21 - (-5 + 0)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10617 - -10622. Solve -4*n + 5 = -3*c + 3, q*c = n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*y + y - 9, 5*y - 3*j = 65. Let a(f) be the second derivative of f**4\/3 + f**3\/6 + f**2\/2 + f. Let n be a(-1). Solve y = n*w - 8*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 23 = -5*f - 10*a, 5*f - 3*a = 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1359\/5 - 273. Let o = -10.61 + 0.91. Let d = -9.3 - o. What is the second smallest value in -2, 10, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-8*7\/168)\/((-2)\/42) and 171.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-2) + -1)*(-3)\/(-18). Let 3\/4*r**3 + n*r + 0 + 1\/4*r**4 + 3\/4*r**2 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-1)\/2*-2. Let g(a) = -1 + 3*a**2 + y. Let f(m) be the third derivative of -m**5\/60 - m**2 + 3. Calculate g(f(b)).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264986 divided by 94.\nAnswer: -2819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5)\/g**(2\/29))**(-2\/59) assuming g is positive.\nAnswer: g**(136\/8555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-255)\/(-153) - (-3380)\/(-84))*84\/(-9) is divided by 57.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -424 and -172.29?\nAnswer: 73050.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 7*r + 31 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 190.9276 from 8.66.\nAnswer: -182.2676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3423.2 + -2169. What is g rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4358*v**3 - 1338*v**2 + 188321049.\nAnswer: -13074*v**2 - 2676*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 l, and 1 o when three letters picked without replacement from osiivel?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -447936 smaller than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 36. What is the closest to l in 3, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4486 and -24.9474?\nAnswer: 4461.0526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12942560 divided by 736\nAnswer: -17585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/23*84\/1386. Is a < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124 - 187. What is the third biggest value in q, 1, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - v + v + 2 - 13 + 1481*v - 1714*v + (-4 - 2 + 4)*(2*v + 0 + 0) + v + 0*v + 0*v + (-1 + 1 - 2*v)*(7 - 4 - 1) to t + r*v and give r.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-1 - 2 - -6)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -86430 and -86473 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 52 and 35267237666.\nAnswer: 35267237718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -5\/3026, 2, -0.2, 0.5, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115.53 + 115. Let h = 0.25 + u. Let f = -0.2799855 - h. What is f rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*1)\/(2\/(-8)). Suppose 82 = 3*u - 5*r - 19, o*u = 4*r + 132. Let y = -220 - -224. What is the lowest common multiple of u and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27 (b) -9 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 + 24*m**2 + 12*m + 83. Determine o(12).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 13\/5*u**3 + 1\/5*u**4 - 37\/5*u + 26\/5 - 3\/5*u**2 = 0.\nAnswer: -13, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7886.6 to the nearest 100.\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 126645920 and -0.2?\nAnswer: -25329184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 16 - 30 + 14. Let r(z) = z - 2. Determine r(f(k)).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-10)\/f*f*f**(-15)*(f*f\/f**(2\/21)*f)\/f**(-5\/7))**(-1\/28) assuming f is positive.\nAnswer: f**(449\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21 + -1f?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4*10 - -3) + 3. Let a = v - -37. Solve -3 = a*k - 5*y + 4, -4*y + 16 = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 + 73. Let w be (o - -5) + 18 + -2*1. Is 13 a factor of 68\/w - (0 + -61)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53540 (base 6) to base 4.\nAnswer: -1302210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 1935.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.163, -6, 5\/96 in descending order.\nAnswer: 0.163, 5\/96, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.04 (b) 0.032 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -13*h**4\/6 + 16*h**3\/3 - h**2 + 4*h - 182. Let b(y) = -8*y + 5. Let o = -13 + 8. Determine o*q(d) + 32*b(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3957000 to the nearest 100000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/534455 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 1\/5 (c) -1\/4 (d) 0 (e) 0.58\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, p: 2, f: 1}. What is prob of picking 1 p and 1 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4*b - 6*b - 18 = 0, -5*a - 2*b + 3 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*n + 2*n**2 - 112*n - 9*n**2.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 141 = 2*c. Let t = c - -73. What is the remainder when 1*(-1 + (2 - -48)) is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 c when four letters picked without replacement from ydckthhtttydchc?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -200.8 - -201.1. Suppose 2*u = -5*g + 28, 40 = 4*u + g + g. Let d = 7 + -7.1. Which is the third biggest value? (a) z (b) u (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**35)**(-5) assuming x is positive.\nAnswer: x**175","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2302\/9 - 14\/(-63)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:23 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 6. Let y(p) = -t*p + 2*p + 0*p. Calculate y(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6879029 to the nearest integer?\nAnswer: 2623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*z - 16, v = z + 4 - 3. Let m be (-3)\/(-6) + 1\/v. Suppose m = -7*j + 5*j + 64. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 3}. Give prob of picking 1 d and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -46395000 rounded to the nearest one hundred thousand?\nAnswer: -46400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (30 - -25) - (0 + 1 + 7).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let z(f) = -9*f**2. Let p(i) = 12*i**2 + 3*i**2 + 10*i**2 - 3*i**2. Let w(r) = 5*p(r) + 12*z(r). Determine w(y(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 56*g - 19. Let f(z) = z**2 - 90*z + 36. Let m(a) = -5*d(a) - 3*f(a). What is m(-6)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -181 + 4*d**2 + 0*d**2 + 59 + 327*d + 61 + 62 to q + j*d + s*d**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 8:59 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f + 3. Suppose 32 - 26 = -3*g. Let i be v(g). Calculate the remainder when (i + 40\/4)*39\/5 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by (5\/(-2))\/((-2)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -936 >= -915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7692 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 165\/12 + 2\/8. Suppose 0*a + y = a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -18 (b) 1\/5 (c) 1\/7 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 137, 117, 107, 113, 141, 197, 287?\n\"Answer: n**3 - n**2 - 24*n + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 32 = 6*a + 4*l, 4*a - 3*l = 76. Let t be (-4)\/(-35)*-4*(-40)\/a. Let t*k**2 + 6\/7*k - 36\/7 - 2\/7*k**3 = 0. Calculate k.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*w - 5*w. Suppose 4*d - 14 = -2*m, 0*m = 3*m - d - 14. What is the highest common divisor of w and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -3*z**5\/10 - 37*z**4\/8 - 41*z**3\/4 - 6*z**2 + 969*z. Solve u(j) = 0 for j.\nAnswer: -8, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.6 - 0.3. Let h = t - -1.90000007. Round h to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33a - 3?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -187*x - 370. List the prime factors of a(-7).\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 953, 954, 955, 956, 957, 958?\n\"Answer: j + 952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**8\/1512 - j**7\/315 + j**6\/270 + j**5\/135 - j**4\/36 + j**3\/27 - 509*j**2 - j. Solve r(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*n + 7429, 0*j - 3*n - 4940 = -2*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 761*f + 70 - 761*f - 105 + 68 - 4*f**3.\nAnswer: -4*f**3 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 54\/5 of a microgram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.3, -0.1, 39232.9, -0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*z**6 + 433*z**2.\nAnswer: -2040*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55236 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36845, 36841, 36837?\nAnswer: 36833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2013144 - 3?\nAnswer: 2013141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -29*l - 1. Give j(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 2*p**2 + 8. Let s(m) = 2*m**3 + 3*m**2 + 7. Let b(v) = -3*q(v) + 2*s(v). Let d(a) be the first derivative of b(a). Factor d(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6062*o + 740 = 3081*o + 3055*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 + h + 9*h**2 - h to the form s*h + m*h**2 + x and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 163 + p + p.\nAnswer: -3*p + 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 5*w + 9 - 3, a - 6 = w. Let m be (0 + 1)*a*(-4)\/(-16). Which is bigger: 4\/15 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3\/5 + 440997*w**2\/2 + 1102491*w\/10 - 551246\/5 = 0.\nAnswer: -1102492, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2846336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2.6 (b) -3 (c) -0.055 (d) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 831 = 3*i - s, 4*i - s + 665 = 0. Let o = i - -299. Which is smaller: 134 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 42 = h, -5*h - 11*n + 132 = -10*n. Let c be 306\/h - (-6)\/9. Calculate the greatest common divisor of c and 1116.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/650 and 21\/25.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 664169010 to the nearest integer?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2555\/(-1460))\/(7\/15)\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 3*h = -3*p + 12, -2*h = -6. Let i be 3 + (2 - ((p - -1) + 3)). Solve -3*c + i = -1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111*g + 109*g + g**2 - 226*g to i + n*g + h*g**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5608 and 3396826?\nAnswer: 3402434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5811*o - 5814*o + 6 = -2*d, -o + 4*d + 2 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 295*t*v**3 + t*v**2 - 2014*v**3 - v wrt t?\nAnswer: 295*v**3 + v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*h**2 - 179644819*f**3 + 253*f**2*h - 26669*f*h**2 - h**2 wrt f.\nAnswer: -6*h**2 - 1077868914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*n - 6*i + 12, -5*i + 21 = -4*n. Suppose 3*b = -n + 25. Let x be 4 + 6*(-4)\/b. Which is smaller: x or 14?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + 27437415?\nAnswer: 27437431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*t = 6*t + 2, -2*i - 3 = 3*t. Factor i - 2\/5*v + 2\/5*v**2.\nAnswer: 2*v*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 2*n**2 + 24*n + 3 - 23*n)*(6*n**2 + n**2 - 9*n**2).\nAnswer: -2*n**4 - 2*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 * -1.601\nAnswer: -4.9631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*b - 2*m + 22, b - 4*m + 4 = 0. Calculate the remainder when 28 is divided by 62\/6 + b\/(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 49. Suppose -104 = -2*k - y, -k + 75 = 3*y + h. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d + 4. Suppose -1 + 4 = a. Let s be k(a). Let q(y) = y**3 + 8*y**2 + 8*y + 5. Let u be q(-5). Calculate the highest common factor of s and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 14*h**2 + 32 - 104 + 75. Let i(s) = -6*s. Give i(n(r)).\nAnswer: -84*r**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59093\/9 - -6573. Let r = h + -217\/27. Let j = -98\/17 - -3914\/561. Calculate the common denominator of j and r.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 19 + 4 + 8 + 2 + 0.\nAnswer: 4*d - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, z: 2, q: 12}. Give prob of sequence qww.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 + -101. Suppose 5*i + 5*h - 35 = 0, 0*h + 3*h - 15 = -i. Suppose 0*k**2 + 8\/7*k**i - 4\/7*k**a - 8\/7*k + 4\/7 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 6 + (9 - 1) - -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 6 (c) 2\/7 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 86.12 to 0 decimal places.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294561 is divided by 42080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51927857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/284 + 1133\/852. Suppose 3*u = -15, -2*t + 0*t + 29 = -5*u. Let d = t - 2. Sort 1\/3, d, l in increasing order.\nAnswer: d, 1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w + 191*w - 69*w - 58*w - 15 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.065143707 + -2.529289933. Let y = -5.59443245 - j. Let v = y - -3. What is v rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102 + 112. What is the highest common divisor of y and 150?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.83367887 rounded to four decimal places?\nAnswer: 5.8337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(22 + (-67 - -57)). Solve -9\/4*v + 7\/2 + t*v**2 = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*l + 66 = -0*j, -4*l = j - 63. Let v = -57 + j. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 61*j**5\/120 - 151*j**3\/6 - 2*j**2 + 15. Let u(x) be the first derivative of g(x). Let s(h) = -2*h**2. Calculate s(u(q)).\nAnswer: -7442*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84801258.\nAnswer: 2, 3, 4711181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 791593 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1176, -7, 4, 5, -95, -5, 1 in descending order.\nAnswer: 5, 4, 1, -5, -7, -95, -1176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 24. Let q(f) = -5*f + 39. Let l be q(b). Suppose -109 = -6*n + l. Calculate the highest common factor of 95 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**4\/12 + 7*u**3\/2 - 61*u**2. Let x be t(8). Sort x, 1, 0, -4.\nAnswer: -4, 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.28 + -0.02. Let p = -5 + 6. Suppose -5*b + b + 8 = 0. What is the closest to -2\/9 in b, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9685282 plus 0.2476?\nAnswer: 9685282.2476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 7*c - 9. Let w be p(-4). Let j be (-1)\/(-2) + (-39)\/(-2). Let v be ((-24)\/j)\/(w\/(-10)). Solve v*u - 3*h = -10, 2*u + 0*h = -h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 + 1794*y**2 + 370480*y - 3839749024\/3.\nAnswer: 2*(y - 677)*(y + 1684)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**6\/3 + 6*m**5\/5 + m**4\/2 - 2*m**3 - 2*m**2 - 76. Find u such that g(u) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(15)\/(sqrt(20)\/sqrt(4)) + sqrt(27)*3))**2.\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 75*y**5\/4 + 1887*y**4\/4 + 11175*y**3\/4 + 11865*y**2\/4 - 10665*y\/2 - 918 = 0?\nAnswer: -17, -6, -3, -4\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 205*z**6\/6 - 11*z**3 + 92. Find the third derivative of x(v) wrt v.\nAnswer: 12300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 202401 and 408715.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 12. Let z be c(0). Let b = 3 - 3. Suppose -5*a + s - 4*s - z = b, -5*s - 20 = -a. Solve l + a = 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5*c - 24*c + 15*c)*(9*c**2 - 16*c**2 - 24*c**2).\nAnswer: 124*c**3 - 93*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1573) - (-1 + sqrt(1573)))*-1)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 8 - 8)*(-97 - 139*n + 97).\nAnswer: -2780*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -17. Let o = -3 - g. Put -0.3, o, 0.3 in increasing order.\nAnswer: o, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.175878 and 3.\nAnswer: 15.527634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 56?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1138755, 1138790, 1138857, 1138962, 1139111, 1139310, 1139565, 1139882?\n\"Answer: g**3 + 10*g**2 - 2*g + 1138746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.02237 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 8 = -7*m. Suppose 0*p - m = -p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 119492071?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 3. Let l(d) be the second derivative of -1406251*d**4\/12 + d**3 - 4*d**2 - 4*d + 10. Let i be l(w). What is i rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -30*((1064\/35)\/8 + -4). Solve -c = 5*a - 2*x, 3*a + x = 3 - 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*u + 43, 0*u = 2*u + 8. Calculate the remainder when g is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/37 in -0.4, 5, 0.2, 99?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, c: 3, b: 3, s: 1}. What is prob of sequence hcbh?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.33, 80, 28, 0.1, 13\/6 in decreasing order.\nAnswer: 80, 28, 4, 13\/6, 0.33, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.19667, -2\/43, -4, 1, 2\/19, 0.02?\nAnswer: -0.19667","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (271 - 271 - 8*f)*(1 - 1 - 2)*(-6 - 3*f + 6).\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.23 + 7.27. Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18239\/(-92)*(-1052)\/(-17095).\nAnswer: -61\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 - 2*a**2 - 3 - 2*a + 0. Let j be o(4). What is the third derivative of 0*l**5 + 4*l**2 - l**2 - l**j wrt l?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -13*y + 38. Solve -13*j + y*j = 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**5\/10 - 3*n**4\/4 + 5*n**3\/6 - 5*n**2\/2 - 6*n. Let s(i) = i**3 - 5*i**2 + 3*i - 3. What is 3*b(z) - 5*s(z)?\nAnswer: z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5665 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 701369.2 kilometers to nanometers.\nAnswer: 701369200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -752*a**2 + 206*a**2 + 203*a**2 + 139*a**2 + 126*a**2 + 183*a**2.\nAnswer: 105*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7882 + 3791. List the prime factors of m.\nAnswer: 3, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 460813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1203 - -1220. Solve -13*p + 5*p = c*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-4\/5))\/x)**(-7)\/((x**(-6\/5)\/x)\/x**(6\/5)) assuming x is positive.\nAnswer: x**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233043 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 296120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) + 22\/(-8). Let n = 7 - 3. Let a = 2702 - 2706. Sort a, h, n in ascending order.\nAnswer: a, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6904 + -6901. Let l(g) = g + 7. Let r be l(-12). Let b be 36\/(-140) + (-2)\/r. Sort 0.2, s, -1, b in ascending order.\nAnswer: -1, b, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/122836 and -89\/392.\nAnswer: 1719704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3014*p + 12272 + 26910 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t = 3*n, -2*t + 2 = -n. Let m(i) = i**3 + 7*i**2 + 8*i + 1. Let b be m(-5). Suppose 9*d - b*d = -n. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 57*s - 59*s = 18, -3*o + 16 = -2*s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-525 - 9*f + 525)*(f - 2*f + 2*f) + 3*f**2 - 5*f**2 + 3*f**2 + 3*f**2 - 46 + 46.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + ee783?\nAnswer: ee780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81.87 + -88. Let v = l - -6.13. Which is smaller: -3\/89 or v?\nAnswer: -3\/89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/7, -114944232 in ascending order.\nAnswer: -114944232, -1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 3)*(9 - m - 6 + 2*m) in the form u*m + d and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4468 and 11170?\nAnswer: 22340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -22255*(-9)\/45 + 8. Suppose 3*a + 10*f = 6*f + k, 4*a - 5938 = 2*f. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33480817 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 1 + 51. Suppose -m + 21 = i, 2*m - 2 = -3*i + 40. Let n = -11 + m. Solve 0 = -5*g - n - s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67124000 rounded to the nearest 100000?\nAnswer: -67100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/879857 - -3700678532\/4399285. Let j = -849 + v. What is the common denominator of j and 123\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -71\/3. Let c be (-114)\/(-24) + (-1 - 3). What is the closest to d in 0, 0.1, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -771274*a**3*b + 13*a*b**2 + 226*b**2 + 6*b - 131 wrt a.\nAnswer: -2313822*a**2*b + 13*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/16 and 87\/1552.\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/6300 and -109\/1894650?\nAnswer: 79575300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513585951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*k + 1)*(121 - 299 - 94)*(-2*k**2 + 2*k**2 - k**2) to the form d*k**2 + x*k**3 + t + o*k and give x.\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 72 = -4*x, 202 = 5*m - 7*x + 6*x. Calculate the greatest common factor of m and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2\/4 + (-12)\/(-8) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9177 is divided by 340.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52*-107260.\nAnswer: -5577520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1028*j*m**3 - m**3 + 538 wrt j?\nAnswer: 1028*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - (-203)\/14)*(-20)\/(-35). Solve 0 = r*b + 1 - 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eksi when four letters picked without replacement from {s: 3, e: 1, r: 1, i: 1, k: 7}?\nAnswer: 7\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, g: 2, o: 4, l: 2}. Give prob of picking 1 g, 2 l, and 1 x.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40939, 81105, 121271, 161437, 201603, 241769?\nAnswer: 281935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 2*g + 4\/3*g**3 + 1\/2*g**2 - 5 + 1\/12*g**4. Determine a(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -126 + 95 - (-2 - 29).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**4\/12 - 13*o**3\/6 - 15*o**2\/2 + 4*o. Let j be d(-6). Suppose 3*y - 33 = j. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84602611?\nAnswer: 19, 4452769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9483012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39353)\/(-4071) - (-1 - -11))*48.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0) + (2 - 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128 + -86. Suppose 4*r = 2*w - 0*w - 24, -5*r + g = 2*w. Suppose 4*k - 24 = w. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581 a factor of 12418755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61214854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, k: 6, x: 1, n: 6, h: 2, j: 3}. What is prob of picking 3 j?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3104242 (base 5) to base 7\nAnswer: 300304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -132 (base 6) to base 8\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 14. Suppose 2*z = -4*m + p*z + 39, 2*m = -3*z + 33. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*b - 8*b - 8*b)*(-180*b - 526 + 526)*(3 + 0 - 4).\nAnswer: 900*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 33583988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7 = -f, 0*a = 4*f - 2*a + 4. Suppose -q + 2 = -f. What is the third derivative of -4*p**4 + 4*p**4 + 3*p**4 - q*p**2 wrt p?\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000023269 to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22874 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5927a (base 13) to base 6.\nAnswer: -3254413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -604*q**4*s + 438*q**3 - 99*q**2*s + 1928*s wrt q.\nAnswer: -14496*q*s + 2628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 18 + 2. Let j be p - 3\/(-6)*-4. Let y = j + 12. Solve 0*r - r - 5 = y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from miqieeqezi. What is prob of picking 1 q and 3 e?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 14) in base 9?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -0.0647\nAnswer: 4.0647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 + -54. Suppose -3*a + 3 + 6 = 0. Suppose a*s - 55 - 14 = 0. What is the remainder when s is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from {i: 3, s: 3, u: 5}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 54*g + 0*g = 0. Solve g = 3*w + 3*c - 12 - 3, c - 14 = -4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*-6)\/(6\/(-3)). What is the first derivative of -102*x**3 - 6*x**z + 405 - 515 wrt x?\nAnswer: -324*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*l = 5, -25 + 7 = -2*j - 2*l. Is (5721\/18)\/(2*j\/60) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**8\/1008 - c**7\/630 - c**6\/120 + c**5\/180 + c**4\/36 - 3*c**2 - 1. Let t(m) be the second derivative of d(m). Factor t(q).\nAnswer: q*(q - 2)*(q - 1)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 + -6 - (2 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -820385 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 16.3 and -0.088.\nAnswer: 16.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**7\/231 + d**6\/165 + 17*d**5\/110 - 7*d**4\/22 - 12*d**3\/11 - 913*d. Find x, given that h(x) = 0.\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 bigger than 6.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + 2?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - o + 5 = 0, -2*o - 5 = 3*s - 3*o. Let l = 32 - s. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -129, -602, -1903, -4452, -8669, -14974, -23787, -35528?\n\"Answer: -70*m**3 + 6*m**2 - m - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2451, -5164, -8129, -11346, -14815, -18536?\nAnswer: -22509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 536410928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + x - 2*x**2 - 30 + 6*x**2 to the form l*x + v + h*x**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvvwwwwwwwwwvvwwwww. Give prob of sequence vvww.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 1000223?\nAnswer: 1000223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a week in hours?\nAnswer: 2604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -22*j + 223. Let y be i(10). Suppose -v + 44 = -y*g - 177, 2*v = -g - 62. Is g at least as big as -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 4:13 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or -0.10206?\nAnswer: -0.10206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 2, l: 4, m: 4, t: 1, s: 2}. What is prob of picking 1 y and 2 s?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 55*m - 925. Calculate the remainder when w(27) is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19301763.\nAnswer: 3, 13, 494917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(126)\/(sqrt(1008)*1) + -4 + -2.\nAnswer: -1 + sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 24. Let t(f) = -f**2 - 8*f + 7. Let a be t(-7). Let x = i + a. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 539, 591, 677, 797, 951, 1139?\nAnswer: 1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/9*6\/(-10). Suppose 0 = -5*k + 4*s + 24, -5*s = 2*k - 3*s - 24. Let b be 0 - (18\/k + -2). What is the second biggest value in -0.4, o, -0.1, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 106 - 159 - p - 7*p + 79 + 48. Let a(u) = -2*u. Give a(q(t)).\nAnswer: 16*t - 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 3*l**2 - 3*l. Let m(j) be the third derivative of -j**5\/60 - j**4\/24 - 27*j**2 + 6*j - 7. Suppose -4*u - 3 = -5*u. Calculate u*m(q) - o(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*w = -3*g + 9, -3 = g + 5*w. Calculate the greatest common divisor of g and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 times -0.0834\nAnswer: 3.4194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 11:27 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4610372.53 to the nearest 100000.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 982 divide 143173044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-1)*(117\/(-18) + 6). Suppose -g*a - 17435 = 6995. What is a rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24354 and 54120.\nAnswer: 487080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1086 by -543.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 53*t - 1845. Let c be l(77). Solve -5 = 5*j, -3*p + 8*p - 8 = c*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/15)\/(3\/(-10)). Let o = -3957\/5 + 792. Sort o, 2, s, -0.2 in descending order.\nAnswer: 2, o, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47181713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 3 + (-3 - -1). Suppose -2 + 22 = 2*p + g*t, 3*p - 30 = -t. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-672)\/126 - (-2)\/6)*1. Let k = 1.08 + 4.62. Let a = 6 - k. Put o, a, -0.01 in descending order.\nAnswer: a, -0.01, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30761840.\nAnswer: 2, 5, 17, 22619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.63 - -0.63. Let n be (-6)\/(-4) + 3 + -6. Which is the third smallest value? (a) n (b) 1\/5 (c) w (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 12, -0.4, -0.07, 80, 0.4, 0, 1.9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357639590 is divided by 9560.\nAnswer: 9550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 11:13 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 + 3*t - 2. Let z(c) = -3*c**2 + 44*c - 29. Let d be z(14). Let m be (3\/15)\/(d\/(-5)). Calculate h(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*b - 17, -3*b = b - 3*x - 26. Suppose 3*d - 2*d + 4*k - 19 = 0, -b*d + k = -158. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -33 (b) 1 (c) 2\/9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5131, 2556, 10243?\nAnswer: 17930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*j + 12 = 4*o, -j = 2. Calculate the greatest common factor of o and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -588 less than -588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -401936*i + 50292 wrt i.\nAnswer: -401936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1601 + 1826. What is the remainder when 1312 is divided by n?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87520812 a multiple of 2309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3436023.\nAnswer: 3, 17, 89, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(25)\/sqrt(5)) - (-5 + (sqrt(3) - sqrt(3)*-3)))**2.\nAnswer: -30*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. Let y(f) = f**2 - 12*f + 5. Let c(h) = 4*p(h) + y(h). Let a(d) = 2*d**2 - 5*d + 2. Let z be a(3). Determine c(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20092.3029*4\nAnswer: 80369.2116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -b9c7 (base 13) to base 16\nAnswer: -64fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**2 + 93*a + 1365. Give w(14).\nAnswer: 1687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8716*p**4*z + p**4 - 26*p*z + 25*p - 2*z - 1 wrt p.\nAnswer: -104592*p**2*z + 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -6 + 9 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) -3\/2 (c) 43 (d) 2230 (e) -0.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g. Let r = -2.1 + 2. Let y = 0.1 + r. What is the nearest to g in 4, y, 1\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46.12 - 66.15. Let b = u - -21. Round b to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5227, -10168, -15095, -20002, -24883, -29732, -34543, -39310?\n\"Answer: t**3 + t**2 - 4951*t - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 900 and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 48\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by (-494)\/(-5) - (-8)\/40?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700485127 to the power of 1\/4, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10111101110 (base 3) to base 7\nAnswer: -404415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50.7267529 - -0.03.\nAnswer: -50.6967529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 9 - 10 = 0. Let r be (v\/3)\/((-6)\/8). Sort -4, 106, r, 0 in ascending order.\nAnswer: -4, 0, r, 106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 245372834 to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 6:55 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 3:45 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7373357\/512 - -14401. What is the common denominator of 125\/1152 and m?\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 44480\/(-220) + (-2)\/(-11). Let j = -152 - w. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**2 + 501 - 501 + 37*b**2.\nAnswer: 29*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n + 0*n + n + (6 + 1 - 8)*(n + 2*n - n) - 2 + n + 2.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1142 (base 6) to base 13.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 208771 to the power of 1\/2, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 8:23 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(300) + (sqrt(3) - (sqrt(3) - (-2*sqrt(24))\/sqrt(8)))) + 3)**2.\nAnswer: -240*sqrt(3) + 4809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 4*n**3\/3 - 4*n**2 + 4*n + 14. Solve o(q) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 35.9, -1.2, 1\/135, 0, -4\/3?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 19901, 52821, 98909, 158165, 230589?\nAnswer: 316181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**3 + 43*a**2 - 17*a - 4. Calculate k(8).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -11*a - 112 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34 - 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -262, -88, 386, 1310, 2834, 5108?\n\"Answer: 25*w**3 - w - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p = -252*p - 196*p + 422 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 13) to base 9\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**4 - 5*c + 5*c)*(8 - 12 + 7).\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 3*p**2 + 3*p)*(-4819 + 4819 - 68*p)*(4*p**2 - 8*p**2 + 5*p**2 - 8*p).\nAnswer: 204*p**5 - 1632*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -0.1, 1.4, -0.24?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 102*o. Let k(n) = -6*n**2 + 15*n + 5. Let r(q) = q**2 - 3*q - 1. Let v(u) = -2*k(u) - 10*r(u). Give d(v(h)).\nAnswer: 204*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - 142?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3912 - -1042. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14230, 32868, 51504, 70138?\nAnswer: 88770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -1. Let u(y) = y**2 + 2*y. Let i be u(j). Suppose -i*f + 25 = 10. Solve -5*d = f + 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(0*s + 339*s**2 - 335*s**2 + 2*s).\nAnswer: 4*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-6 + -3) - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4245134300?\nAnswer: 2, 5, 11, 3859213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/507199 and -34\/1463.\nAnswer: 9636781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 10:43 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4\/9)*u\/(u**7*u)*(u*(u*u*((u**(-19)*u)\/u)\/u*u*u)\/u)**(40\/9) assuming u is positive.\nAnswer: u**(-707\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5502*n - 27426. What is a(5)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 + -62. Is k at most 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007616 to 6 decimal places.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, a: 4, s: 3}. What is prob of sequence aq?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2867.93024 rounded to 1 decimal place?\nAnswer: -2867.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1235.5 rounded to the nearest 10?\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 - 10 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*c**3*s**2 - 3*c**3*s - 3*c**3 + c**2*s**2 + 10*c**2 - 2174*c*s**2 + 54*s wrt s.\nAnswer: -52*c**3 + 2*c**2 - 4348*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17867.\nAnswer: 17, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 27\/4 of a week?\nAnswer: 1134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -174662126 or -174662127?\nAnswer: -174662126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/22 in 3, -9, 2\/17, -0.19?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, -12, -20, -18, 0, 40?\n\"Answer: w**3 - 4*w**2 - 7*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 365177619 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/25 of a day?\nAnswer: 31104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**5 + 2*g**4 - 20*g**3 - 23086*g**2 wrt g.\nAnswer: -120*g**2 + 48*g - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-172)\/129*(-9)\/(-30). Is 0.713 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + (-46 - -156) + -2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 302 + 83. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 134432?\nAnswer: -134431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 6) in base 12?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 3. Let v(f) = 5 - f**3 - 2*f + 0*f**3 + 11*f**3 + f**3. Let h be v(2). Let d = h + -78. Calculate b(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/55)\/((-54)\/2673). Solve 4*t - 15*s - 28 = -13*s, 3*t - 3*s - r = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200128824 divided by 2382486.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 6*b**2 - 7*b + 18. Let a(t) = -t**3 + 6*t**2 + 5*t - 17. Let k(f) = 6*a(f) + 5*z(f). Factor k(u).\nAnswer: -(u - 4)*(u - 3)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 5*v - 9256 = 3*i + 8*v - 9265, 4*v + 116 = -4*i for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193762310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 36. Solve s = -2*n + 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12157 or -12167?\nAnswer: -12157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 153?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 36 = 4*l, 0 = -160*f + 157*f - 3*l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-24))**(24\/5))**(2\/35) assuming l is positive.\nAnswer: l**(-1152\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/6)\/(j\/j**(-7)*j))\/(j*j\/(j*j**(-2\/9)\/j))**(-36) assuming j is positive.\nAnswer: j**(425\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -872, -3, 78, 0, -9, 5 in decreasing order.\nAnswer: 78, 5, 0, -3, -9, -872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, q: 2, s: 5}. What is prob of sequence shq?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 3\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**4\/12 - 5*q**3\/6 + 18*q**2. Give w(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/7585 and 37\/248650?\nAnswer: 377202050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 10. Suppose 3*b + 5*h - t = 0, 3*b + 5*h - 6*h = -1. Let w(d) = -d**2 + d + 6. Is w(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = 21*l + 528. Let h(c) = -2*c**3 - 27*c**2 + 16*c + 36. Let n be h(l). Solve 3*r + 5*d + 16 = 0, -3*r - n = r + 4*d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 927820 and 460.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 118*l - 247. Let j(g) = g**2 - 8*g - 4. Let o be j(9). Let z be q(o). What is the highest common divisor of 49 and z?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + a = -0*a - 24, 0 = -3*u - a + 11. Let h be (-26)\/(-3) + (-1)\/(-3). Let x = 49 - 21. Solve 2*k - 1 = h, p = u*k - x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1587 (base 12) to base 5.\nAnswer: -40201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391199 = -147*v + 5265013 + 2662959. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 44 + 48 - 172 + 2*t + 41 + 39. Let v(u) = 146*u - 1 + 1. What is w(v(d))?\nAnswer: 292*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 13250*d**2 - 11981*d - 4. Let v(o) = -o**2 + 20*o - 2. Let q(l) = i(l) - 2*v(l). What is the second derivative of q(p) wrt p?\nAnswer: 26504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-7) - (-297)\/(-756))*1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 384, 782, 1204, 1662, 2168?\n\"Answer: 2*z**3 + 384*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2985840922705\/478 + 6246533041. Let p = -3914 + c. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*c**2*s*x + c**2*s + 6*c*s*x + 966*s wrt x?\nAnswer: -29*c**2*s + 6*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1*(-2)\/18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - 54. Suppose 5*k - 3*o = 17, 5*o + 24 = -k + 5*k. Calculate the greatest common factor of k and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 8*l - 3. Let o be h(-7). Let x = 9 + o. Let j(p) = -10*p**2 + 2*p + 1. What is j(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1, 0.5, -0.2, -0.7, -2\/341, -2464, 0.07?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 160*w**2 + 2*w - 1. What is the remainder when k(1) is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, 18, 5, 43 in descending order.\nAnswer: 43, 18, 5, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13253169 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(147) + (sqrt(147) - (sqrt(147) + -2*3*sqrt(147) + sqrt(147))) + (1 + sqrt(147) + -1 - sqrt(147)))**2 + 4.\nAnswer: -26456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 240209062139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255?\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 10*d**2 - 8*d - 4. What is the units digit of h(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 3.805146327?\nAnswer: -3.405146327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 1, 5, 9, 13, 17?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -241, -253, -279, -325, -397, -501, -643?\n\"Answer: -c**3 - c**2 - 2*c - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7342*b*d*h*m**3 - 22*b - 2*d**2*h - 5*d**2*m**3 + 2*m**3 wrt h?\nAnswer: -7342*b*d*m**3 - 2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 268.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpq when three letters picked without replacement from xqxxqtcqqxxtxpxxq.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 101617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -814859 divided by 1.\nAnswer: -814859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, n: 7, a: 2}. Give prob of picking 3 n and 1 a.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 342*p*s**3*x**3 + 72391*p*s**3 - 28*p*s**2*x**2 - 2*p*x**3 - 371110*p*x + s**2 + 3*x**2 wrt s?\nAnswer: 2052*p*x**3 + 434346*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/831 and 73\/3.\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 2\/69, -4 in descending order.\nAnswer: 15, 2\/69, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-10)*(-3570)\/714.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, w: 4, o: 1, z: 1, q: 1}. What is prob of picking 4 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6954*d*y**3 - 2*d*y - 2*d + 5584*y**3 wrt d?\nAnswer: -6954*y**3 - 2*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -344, 10, -2 in decreasing order.\nAnswer: 10, -2, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/24 and 97\/1050.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 23*m + 18. Let x be v(23). Suppose 1079 = -5*d + x*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**5\/20 - 2*d**3\/3 + d**2. What is the derivative of n(u) wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 3 + 1\/(-2). Suppose 2*v - 4*m = 12 - 0, 2 = -4*v - 5*m. Suppose -w + 1 = -v. Is i at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 3*y - 15, -3*t - 24*y - 10 = -26*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 241*g**3*p + 5*g**2*p**2 - 49*g*p**2 - g*p - 1 wrt g.\nAnswer: 1446*g*p + 10*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12566 + 21514?\nAnswer: 34302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 56 = 4*b, 0 = 4*g + 3*b - 50 - 84. Let x be ((-900)\/(-16))\/(1\/g). What is x rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 33*y**2 + 131*y - 1. Determine v(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**2 - 4*c - 3. Let m(t) = 4*t**2 + 3*t + 3. Let a(l) = -5*i(l) - 6*m(l). Suppose 5*o = -0*o + 10. What is a(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3*8\/60)\/((-105)\/300). Factor 0 + 0*k + 16\/7*k**2 - r*k**3 + 1\/7*k**4.\nAnswer: k**2*(k - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.85312 and -46.\nAnswer: 85.24352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -168405 divided by 3?\nAnswer: -56135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 6*(sqrt(153) + sqrt(153) + 0))**2*5 - -4*(-1*sqrt(153)*1 + sqrt(153))\/sqrt(9).\nAnswer: 129285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (-10 - -25 - 5)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 5*m**2 + 6*m - 5. Let h(i) = -i**2 + 17*i - 67. Let o be h(8). Let b be p(o). Solve -2*y = 2*y - q + b, -3*y + q - 20 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -7 - 19 - -5 - -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.63 - -6. Let f = 0.03 + u. Sort f, -3, -0.1.\nAnswer: -3, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d**2 + 37 + 3*d**2 - 12*d**2 - 4*d. Let f be i(-8). Calculate the highest common divisor of f and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -1041231?\nAnswer: 1041240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/11, 3\/11, 35\/27, -5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 a when three letters picked without replacement from {i: 7, d: 5, a: 1}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000390815816 to 7 decimal places.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-967.\nAnswer: 4835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -50*p + 3. Let v(m) = -25*m + 1. Let l(c) = 3*k(c) - 7*v(c). Suppose 4*o - 17 = -5. Is l(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 12*r + 30. Let d be f(-14). Let g be 460165\/110 + (-2)\/(-22)*d. Let m = 12481\/3 - g. What is the common denominator of 143\/6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 0, -5, -5\/3, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighteen fifths of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2294 and 32.\nAnswer: -2262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 7*i**2 - 3*i + 4. Suppose 12 = 6*n, -23*j + 28*j - 58 = -4*n. Calculate the remainder when x(-7) is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 - 2*x**2 - 6*x**3 - 2 + x**2 in the form u + v*x**2 + k*x**3 + i*x and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -92. Solve -v = -q - 0*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(2\/27)*d))\/(d\/(d\/d**(4\/3))))**(-46)*(d**(2\/5))**(-38)*d**(1\/2)*d*d**(-5) assuming d is positive.\nAnswer: d**(12431\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h = 8. Solve s = -s - 2*x + 2, 3*s - h*x = -7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 1, 10 in descending order.\nAnswer: 58, 10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.4661 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -17*x + 9. Give t(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 55*f = 56*f + 10, 15 = -4*x + f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*q**4 - 75*q + 2 wrt q.\nAnswer: 864*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**2\/8 - 92967*v\/8 + 1625085\/4 = 0.\nAnswer: 35, 30954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7)\/(z**(-1\/12)\/z))**(-17\/4) assuming z is positive.\nAnswer: z**(-1139\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40182.08 kilograms in milligrams?\nAnswer: 40182080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d + 112 = 0. What is the greatest common divisor of 84 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 283542*u**4 - 23*u**3 - 2674733*u**2.\nAnswer: 6805008*u - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.00186?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-2)*100862\/(-87) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 106 = -5*f, -4*f + 83 = -4*o - o. Factor 8*h + h**2 + 25 - 5*h**2 + f - 35.\nAnswer: -4*(h - 3)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280 and 7280?\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 41*t - 102 = -18*t. Let q(u) be the first derivative of -3\/5*u**t - 1\/10*u**4 + 2\/3*u**3 + 10 - 18\/5*u. Factor q(i).\nAnswer: -2*(i - 3)**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 22*y + 27. Let u be s(-6). Find the third derivative of -91*b - u*b**5 - 96*b + 187*b + 254*b**2 + 15*b**3 + 8*b**5 wrt b.\nAnswer: 300*b**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 31*s = -160 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5684.9 plus -158083?\nAnswer: -163767.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-4*3 - (sqrt(152)*4 + sqrt(152) + sqrt(152))*3)\/(sqrt(8) + (sqrt(968)*4 - sqrt(8)) - sqrt(56)\/sqrt(252)).\nAnswer: -180*sqrt(19)\/263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 1\/2565941685 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -960 divided by -192.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.49959 - -69.77759. Let c = d + -71. Let g = 1.7 + c. Round g to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*b - 2669 = -26189 for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 429331297 to the nearest integer?\nAnswer: 20720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -12. Let l = d - -5.6. What is the closest to 0 in l, 1, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - b + 245 + 12, -3*o - 4*b = -773. Let r(i) = 9*i + 3. Let g be r(11). What is the highest common factor of g and o?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 231aa + 0?\nAnswer: 231aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = 3*r - 110 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 9 - 5)*(-121*g - 10*g**3 + 121*g) to the form w + b*g**3 + m*g**2 + c*g and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, h: 5}. Give prob of sequence mhm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20707776 times -0.1\nAnswer: -2070777.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39.585 - -35.8124. Round f to one decimal place.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 5 + 5*b + 29 - 26 to s*b + p and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*f - 16*f - 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(153)) + (sqrt(153) + 1 + -3)**2.\nAnswer: 3*sqrt(17) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 40*o - 41*o = -138, 11*t - 3*o + 504 = 0. What is the fourth biggest value in t, 3, 1.1, -1, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiufz. Give prob of sequence iuu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 4, -9, 248099?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + w - 40, -4*w - 10 = b - 5*w. Let m = -5 - b. Suppose 275 = a - 5*z, -a + 2*z + 283 = m*z. What is a rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 75*d**2 + 204*d - 33. Let b be y(-3). Put 27, b, -3, 0 in increasing order.\nAnswer: -3, 0, b, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1647072723 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47394.\nAnswer: 2, 3, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-492)\/451*1540\/(-404040)\nAnswer: 2\/481","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/257390926?\nAnswer: 1\/257390926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/10 + -3 - 4\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2388948 and 8172.\nAnswer: 2724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 16049?\nAnswer: 16045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**2 + 4410320*t = 0.\nAnswer: 0, 882064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3653\/71860 + -3\/3593. Let i(t) be the third derivative of 2\/105*t**7 + 0 + 1\/15*t**6 - r*t**5 + 0*t + 1\/3*t**3 - 5\/24*t**4 + 18*t**2. Factor i(l).\nAnswer: (l + 1)*(l + 2)*(2*l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 172988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10124031 (base 5) in base 13?\nAnswer: 2ba2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i + 20 = j, 0 = -4*i + 5*j - 40. Let l be (3 - (-28)\/i)*1. Let r = 0 - l. Is 0.5 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**4 + 57*v**3 + 2791*v**2 - 29*v - 12552 wrt v.\nAnswer: 24*v**2 + 342*v + 5582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, c: 1, h: 1, q: 2, u: 1, s: 2}. What is prob of sequence qddh?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 366469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -640\/7 - -92. Suppose -c - 46 = c - 46. Factor c*t - 6\/7*t**3 + 0 + o*t**2.\nAnswer: -2*t**2*(3*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 6:46 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36355981 a multiple of 714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42200813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/700*(-700)\/(-84)*-1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 113113611 or 113113612?\nAnswer: 113113612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.13 + 0.03. Suppose 4*w = -11 + 43. Let i = w - 3. Which is the smallest value? (a) i (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 144*b**2 + 285*b - 157. What is m(142)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 + 81*g**2 + 555*g + 10. Determine n(-32).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.2918178 millimeters?\nAnswer: 0.02918178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 7*b - 7. Let k be g(5). Suppose k*s - 200 - 64 = 0. Calculate the highest common divisor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-14))\/f*((f\/(f\/f**(2\/17)*f))\/f)\/f)**(16\/5)*((f*f**(-2\/11))\/f)**(2\/27)*(f**0*f)**(5\/2) assuming f is positive.\nAnswer: f**(1921801\/50490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15251 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: Suppose 0 = 3*o + o - 5*j - 44795, j = 1. What is o rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 11) + 10 - 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 11*k**3 - k - 7. Let v(j) = -30*j**3 - 3*j**2 + 3*j + 21. Determine -11*h(q) - 4*v(q).\nAnswer: -q**3 + 12*q**2 - q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -57 divided by 1276\nAnswer: -57\/1276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11560 rounded to the nearest 100?\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -344?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15784147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 25 = -h - 12*w, 5*h - 4*w + 9 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -231, 13, 1.4, 0.4 in descending order.\nAnswer: 13, 1.4, 0.4, -3\/2, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2894 is divided by 52.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**6\/540 - i**5\/720 + 5*i**3\/6 - 8*i**2. Let b(n) be the first derivative of q(n). Factor b(u).\nAnswer: u*(4*u - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 6:37 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 577 divide 754359991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(110)\/(-1*sqrt(10)) + -5 + 1 - (-1 + 3*sqrt(44)\/sqrt(4) + (-2 + (sqrt(11)*-2 - sqrt(11)) - sqrt(11) - sqrt(11))))**2.\nAnswer: 2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.635 - 0.135. Let x = -1 + -3. Let n = -1 - x. Which is the nearest to -3? (a) n (b) w (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 11) + -36 - (-18 + -11 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34 + b9?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -3d13?\nAnswer: -3d12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1019, 2034, 3043, 4040, 5019?\nAnswer: 5974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -242\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 69*v**4\/8 - 8278*v**2. Let b(h) = 47*h**2. What is j(b(x))?\nAnswer: 9729*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*v + 13 + 6 = 0, 9 = f - v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5395.42ng?\nAnswer: 0.00000000000539542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1292378, -1292344, -1292310, -1292276?\n\"Answer: 34*v - 1292412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8894?\nAnswer: 2, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 10*b - 180 - 2*b**2 + 243 + 8*b**2. Is 17 a factor of f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4714841.5 to the nearest ten thousand.\nAnswer: -4710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21554428 is divided by 829016.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/14994 and 73\/8.\nAnswer: 59976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-6)*m)*m*m*(m**5*m)\/m*m*m**(-4)\/(m**(-5)*m*m*m))**(-3\/35))**(-35) assuming m is positive.\nAnswer: m**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139 - -141. Find the second derivative of -y - 1651 - 4*y + 57*y**q + 828 + 820 wrt y.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = q + 3*c, 0 = 5*q - 3556*c + 3561*c + 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 1.6 (c) 241 (d) 0 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 327035.3 to the nearest 100.\nAnswer: 327000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 4. Suppose -4*q = -b - 1, -b - 3*b + 5*q = 15. Let s(t) = -t**2 - 8*t - 10. Let f be s(-7). Let y(x) = -x - 7. Give b*p(k) + f*y(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4058*x**2 - 25*x + 1278. Let s(v) = 2029*v**2 + 15*v - 639. Let i(p) = -5*s(p) - 3*t(p). What is the derivative of i(u) wrt u?\nAnswer: 4058*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 70?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 879545?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 12176 = c - 42214, -45046 = -3*s + 4*c. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*c**3 - 88*c**3 - 75*c**3 - 83*c**3.\nAnswer: -180*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*f + 46*f - 17*f**2 + 51*f - 135*f.\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -498 + 497.9. Which is the third biggest value? (a) o (b) 0.05 (c) -0.5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g + g)*((-37*g**2 - 18*g**2 + 10*g**2)*(23*g - 14*g + 22*g) + 3*g - 3*g - g**3 + 0 + 0 + g**3 + (3 - 2 - 2)*(-3*g**3 + g**3 + 0*g**3)).\nAnswer: -1393*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**3 - 5*u**3 - 3 + u**3 - 2*u**3 - 3*u**2. Does 8 divide w(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-8)*1\/1)\/(4556\/38726)\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*l = -6 + 61 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 65*n**5\/6 + 7875*n**4 + 68870*n**3\/3 + 65185*n**2\/3 + 12065*n\/2 - 1810\/3 = 0. Calculate n.\nAnswer: -724, -1, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 5180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 + (-36 - -52) + -14?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 543 = -j. Let d = j + 849. Let a = -82 - -117. What is the highest common divisor of a and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -28. Let c = 20 + h. What is the greatest common divisor of 6 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154536 and 5254224.\nAnswer: 5254224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 155.65845s?\nAnswer: 2.5943075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1906\/(-3812)*1\/(27\/4)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-91) + (-318)\/(-39). Let z(h) = -h**2 + 12*h - 29. Let q be z(v). Find the first derivative of 36*f**q - 15*f**3 + 1 - 32 wrt f.\nAnswer: 63*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3376*t - 616*t + 10606*t + 904*t.\nAnswer: 14270*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 6*v**2 - 6. Let t be o(-5). Let a = 31 - t. Suppose -2*n - m = -24, 5*m + 2 - 14 = -n. Calculate the greatest common divisor of n and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.232588 micrograms to nanograms.\nAnswer: 7232.588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 427 + -505. Do x and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7225 - 1a075?\nAnswer: -2629a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 18082.\nAnswer: 54246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/36 and 125\/2268.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 48*l. Let a be t(-1). Let n be (32\/4)\/((-6)\/a). Suppose 4*p + 10 - 42 = 0. What is the highest common factor of n and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2867\/260 + 144\/13. Let l be 0 + 0 + (-25679)\/12380. Let t = -15\/619 - l. Find the common denominator of t and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -79.41?\nAnswer: 84.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 117*g + 3 - 2.\nAnswer: -117*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 2348*n**5\/5 - 2*n**4\/3 + 11*n**3\/6 - 2*n**2 + 14*n. Let r be w(4). Round r to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1859*w - 513060. Determine t(-276).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3020*c**3 + 1544*c**3 + 1 + 1504*c**3.\nAnswer: 28*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjc when three letters picked without replacement from nnjinincnnkninknn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110 + -111. Put 2, 7, 0, f in descending order.\nAnswer: 7, 2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -65, -43, -21, 1?\n\"Answer: 22*z - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1897*p = 37797 + 76023 for p.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -7*k + 31. Sort 1, k, -5.\nAnswer: -5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**5\/3 + 517*x**4\/3 - 67594*x**3\/3 + 199690*x**2\/3 - 198661*x\/3 + 66049\/3 = 0.\nAnswer: 1, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 4*t + t - 3)*(1 - 2*t**2 - 1).\nAnswer: -4*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 340499 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 25. Let q be -1 + -1*w\/22. Which is the smallest value? (a) 1 (b) q (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9945709?\nAnswer: 9945709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4\/5, 3, -1\/85, -1?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2) + -4) + -1.\nAnswer: -13 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 - -451. Let r = 537 - x. Which is the closest to -21? (a) r (b) -0.4 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -24. Determine c so that 2\/3*c + 0*c**3 + 4\/3*c**2 - 2\/3*c**5 + 0 - 4\/3*c**n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 301689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/8 + 39*i**2\/4 + 165*i\/8 + 21\/2.\nAnswer: -3*(i - 28)*(i + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/16 and 13\/206.\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*h**2 + 4*h**2 + 7*h**2)*(-6*h**2 + 0*h**2 + 2*h**2) in the form x + t*h + m*h**4 + s*h**3 + l*h**2 and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -835681*-0.3\nAnswer: 250704.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 34 + (-22 - -13) + 2 + 2 - (-8 - -3)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + sqrt(468)*-2 + -2 + (2 + sqrt(1053) + -4 - (sqrt(1053) + (sqrt(1053) - (-1*sqrt(1053) + 1))))**2.\nAnswer: 24*sqrt(13) + 4215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-4)\/8*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-6\/13)*k)\/(k*k**15*k))**(-18\/7))**(-21) assuming k is positive.\nAnswer: k**(-11556\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2988241?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(175) - (sqrt(175) + -6*(-2 + sqrt(175))**2)) + (sqrt(175) - (sqrt(175) + 1*sqrt(175) + -2)) + sqrt(175)) - ((-4 + sqrt(175)*1 + 0)*3)**2.\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4 - 3 - 2 + t. Let r be c(4). Suppose r = 2*v - 1. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4)\/r*r)**(-33))**(1\/33) assuming r is positive.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**5 + 830*c**4 + 93456*c**3 + 1489752*c**2 = 0.\nAnswer: -198, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.0849.\nAnswer: 0.0849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98399.\nAnswer: 7, 14057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3\/8, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93\/220 + 1\/44. Let v be (-2*(-2)\/(-2))\/8. Does d = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 83 - 11 = 0. Solve -z*w = -8*w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60425005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14269501*a**2 + 0*a**3 - 2*a**3 - 14269501*a**2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 5)*(196*t - 633 + 478*t + 633) + 2*t - 1 + 1.\nAnswer: -5390*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 714, 652, 568, 462, 334, 184, 12?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1644546 less than -1644426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffi when four letters picked without replacement from {f: 3, s: 7, b: 7, i: 1, c: 1}.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 5. Let m = -4.00075 - j. Round m to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.7737 rounded to one dp?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 q when three letters picked without replacement from qfqqqfqqdqfffqfqqf?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 + 0*z**3 + 0*z**3 + (0*z**2 + 2*z**2 + 0*z**2)*(-2 + 2 + 2*z) + 3*z**3 + 22 + 19 - 29.\nAnswer: 9*z**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -25. Suppose -z*n = -4*o - 8, -2*n = 5*o + 3 + 25. Is (o + 12\/6)*1405\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooc when three letters picked without replacement from {c: 2, o: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19102660 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2. Let c(w) = -w**4 + 5*w**2 - 6. Let i(g) = -2*c(g) + 10*s(g). Differentiate i(n) wrt n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 + 807 = -492*f + 47 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -17*1*8\/258. Let v = p + -6\/43. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -264*0.0044537\nAnswer: -1.1757768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 158331 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14552 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18276 or 18251?\nAnswer: 18276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 = o - 3*o, p = 5*o + 23. Let c(k) be the third derivative of k**5\/60 - 3*k**4\/8 + k**3\/2 + k**2. Let s be c(8). Sort p, 1, s, -2.\nAnswer: s, -2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1623 is divided by 149.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 399933, 399954, 399975, 399996, 400017, 400038?\n\"Answer: 21*r + 399912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8422209 and 3915.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -52958.\nAnswer: -264790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 17 = 2*k, -2*h = -k + 9 + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 202196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-24))\/a**(-3\/11) assuming a is positive.\nAnswer: a**(-250\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -5 + 3 + (3 - 6) - 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2156.147 to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**3\/2 - 75*r**2\/2 - 120*r + 160 = 0 for r.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(0 + (-35)\/10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28890, 27997, 26510, 24429, 21754, 18485, 14622?\nAnswer: 10165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + 28. Let y = 270.1 - 320.82. Let f = y + l. What is the second smallest value in f, 3, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 22*t - 29. Let o(j) = j**2 - 6*j - 1. Let a(v) = n(v) - 2*o(v). What is a(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + sqrt(180) + sqrt(180) + 2 - -2*(2 + sqrt(180) + (sqrt(180)*3)**2).\nAnswer: 24*sqrt(5) + 3250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + i - 4. Suppose s = 2*q - 20, -2*q + 12 = -0*q - 3*s. Suppose -2*f = -4*m - q, -2*m - 6*f = -2*f + 26. What is the units digit of z(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-42)\/12))\/((-20)\/490)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2724556*f**2*i**3 + 15*f**2*i**2 - 8*i**3 + 42*i**2 - 50815*i wrt f?\nAnswer: 5449112*f*i**3 + 30*f*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*a + 90, 68 + 31 = 3*v - a. Calculate the remainder when 91 is divided by v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 - 412\/5. What is the common denominator of (1 + 1 + 0)\/(-13) and a?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 + -0.35. Let i = q - -0.06. Let g = 98 + -98.2. Which is the biggest value? (a) 4 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 12 = -13. Solve 6 = l*s - 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 15414?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99 - -101. Let l be (-21)\/7 - -3*3\/(-9). Suppose -15 = -3*b + 5*r, -5*r = 4*b - 3 - 17. Sort b, s, l.\nAnswer: l, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231.5036 rounded to one dp?\nAnswer: -231.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1400*a - 1377*a - 598 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 20739?\nAnswer: 20738.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x + 2. Let w be p(1). Suppose 3*a + 0*n = -n + 79, w*a - 132 = -2*n. Calculate the remainder when a is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f = 5*f + 390. Suppose -2*p + 22 + f = 5*h, -2*h - 110 = -4*p. What is the highest common divisor of 65 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 0, -1\/9, 3, 607?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + -3 + (sqrt(176) + sqrt(176) + -1)*-6 + 2)**2*-4.\nAnswer: -101440 - 1536*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ulueuluhelhulueuule. Give prob of sequence elle.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -14)*((-51)\/459 + (-92)\/63)\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmwi when four letters picked without replacement from {i: 9, w: 9, m: 1}.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11467647.\nAnswer: 3, 1274183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 2144290.\nAnswer: 6432870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*f - 864, -436 = -5*o - 3*f + 644. Let x = o + -120. What is the greatest common factor of 24 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -453453 (base 6) in base 9?\nAnswer: -57616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*i**2 - 369*i**2 - 43*i**2.\nAnswer: -359*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469624629?\nAnswer: 11, 23, 941, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 6*w + 68. Determine h(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3703\/13 - 72\/(-468)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -433, -70, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -24314879?\nAnswer: -24314875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 9:55 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5945, -6062, -6263, -6554, -6941, -7430, -8027?\nAnswer: -8738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 3*y - 32, -4*r - 314 = 3*y - 342 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111022 (base 3) to base 8.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 16, r: 4}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1794*z - 1825*z + 3621*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuzuufuzzzuuf. What is prob of picking 3 u?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1304, 1513, 1722?\nAnswer: 1931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-171) - 39\/((-72657)\/(-666)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -5*u + 252. Suppose u = 6*t + 9. Suppose -3*g = -4*m - 36, 2*m - 13 + 3 = -t*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/9)*h)**(-6)*h**(-8)\/h**6 assuming h is positive.\nAnswer: h**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 20*x**3 - 753*x**2 - 259*x - 46. What is v(38)?\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18661 - 18655. Calculate the remainder when 314 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 20 = 0, 467 = 5*n + m + 497 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 + 11 = -8*k. Suppose 0 = -5*x + a + 21, -8 - k = -4*x + 4*a. Suppose 0 = -x*q + o + 165, 0 = -q + 2*o + 2 + 48. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85\/3 + 28. Let p = -5496046493\/2255 + 2437271. Let z = 2\/205 - p. What is the third biggest value in z, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.1 + 12.100708. What is l rounded to 5 dps?\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*(-1500)\/(-450).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 1864.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 7:48 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -51, -0.0187, 46, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 - 13*o**3 - 5*o**2 + (-2*o**2 + o - o)*(3*o + 2*o - 6*o) - o**3 + 3*o**3 - 3*o**3 in the form a + k*o**2 + v*o + b*o**3 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 500678053?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + 0)\/(4\/(-14)). Let q = k - -32. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.1, -376?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45185\/187 - 3471\/17. Is 36 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 541 = 61*s + 1822. Is -25 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(13) + sqrt(13) + sqrt(65)\/sqrt(5)*-4 + sqrt(13) + sqrt(13) + sqrt(637) + 0 + sqrt(13))**2*-2.\nAnswer: -1663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*5\/(-2))\/((-435)\/4350)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 78720\/205 + (8 - 1). Calculate the highest common divisor of 272 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 1:13 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 110\/(-15))*3. Suppose 0 = 2*w - l + 3. Solve 4*i - w = -1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.21643 and 376.79?\nAnswer: 377.00643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 - p**3 - 1978*p + 1579*p.\nAnswer: -p**3 - 399*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -549*r**2\/2 - 1104*r - 1405. Find the first derivative of l(n) wrt n.\nAnswer: -549","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from cooocccytzo.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 14*t**2 - 6*t - 5. Give a(13).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 76, 167, 330, 589, 968?\nAnswer: 1491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 12*l**2 - 23*l - 28. Let v be o(-10). What is the closest to v in -3, 1, -0.2, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixiixiiixiimivivmix. What is prob of sequence xmv?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.629782nm in centimeters?\nAnswer: 0.0000004629782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33224 rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.85079 decades to years.\nAnswer: 218.5079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1097*a**2. Let w(z) = -148*z. Determine w(o(j)).\nAnswer: 162356*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242170 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -37208860.1 to the nearest one hundred thousand.\nAnswer: -37200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w**4 - w**4 - w**4)*(3 - 4 + 3) + 753*w**2 - 753*w**2 - 81*w**4 to the form p*w + h + d*w**2 + r*w**4 + s*w**3 and give r.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 392 = 213. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -115936914*s**4 + 212296798 wrt s?\nAnswer: -463747656*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 20, 2, 5, -2, 4, -53 in descending order.\nAnswer: 20, 5, 4, 2, -2, -52, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + k - 8 = -0*k, -2*i + 2*k - 10 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (6\/2)\/(((-14)\/12)\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2908 (base 10) to base 16\nAnswer: b5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2 + 4 + -2 + sqrt(343) + sqrt(343) - 2*((-2 + sqrt(343) - sqrt(343)) + 5)) + 2)**2.\nAnswer: -28*sqrt(7) + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 40433144 (base 7) to base 5\nAnswer: 1330312323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 225281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6542642.\nAnswer: 2, 3271321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23388 - -23672. What is the smallest common multiple of j and 108?\nAnswer: 7668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - -6) + 58 + -80?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 47*p - 255. Let s be t(52). Sort 41, s, -1.\nAnswer: -1, s, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3920488 is divided by 889?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 smaller than 2\/7545013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1431, -1443, -1455, -1467?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f**4\/9 + 790*f**3\/9 - 910*f**2\/9 - 790*f\/9 + 296\/3 = 0 for f.\nAnswer: -37, -1, 1, 12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31240917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 5. Differentiate -2 - n*y**3 + 1 + y**3 wrt y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/161999781 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x**2 + 0*x**2 + 8*x**2 + 9*x**2 - 2*x**2.\nAnswer: 47*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-3) + 5\/(-1). Let z(y) = -1087*y + 1085*y - 3 - 1. What is z(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74986420.\nAnswer: 2, 5, 37, 101333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.5 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*a*c**3*x - 2*a*c**3 - a*c**2*x + 15*a + 111*c**3*x**2 - 34*c**2*x**2 - 25*c**2*x - c**2 wrt c?\nAnswer: 222*a*x - 12*a + 666*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - u**3 + 14*u**2 + 5*u**3 - 14*u**2.\nAnswer: 4*u**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 0)*(8 - 7 + 6)*(21*s - 108*s + 11*s) to the form l*s + u and give l.\nAnswer: 1596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64709267*c**3*s**2*u**3 + 5*c**3*s**2*u - 2*c**3*u**3 - 96821*c**3 + 8*u**2 wrt u.\nAnswer: -388255602*c**3*s**2 - 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 320, 551, 782, 1013, 1244?\n\"Answer: 231*a + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 2)*(0 - (-20)\/(-12)). Let k(g) be the second derivative of 0*g**2 + 1\/10*g**s - 1\/6*g**4 + 0 + 0*g**3 - 2*g. Let k(n) = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8207 is divided by 8196.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + l**4)*(-l + 0*l + 2*l) + 2*l**5 - 2*l**5 + l**5 + 242*l**5 + 7*l + 10*l**4 - 9*l**4 - 977*l**5.\nAnswer: -733*l**5 + l**4 + 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 64 = -11*p. Suppose 7*o = -3*b + 5*o + 2743, -4*b + 3624 = -p*o. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(0*k**5 - 2*k**5 + 3*k**5) - 2*k**5 - k + k - 2*k**3 + 4*k**3 + 6 + 0 - k**5.\nAnswer: -4*k**5 + 2*k**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -885*j - 5871 - 5*j**3 + 885*j + 5871.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 2*r**3\/3 - r**2\/2 - 2*r. Suppose 3 = -3*n + 12. What is the units digit of t(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 3214 - 1121 = 0. Suppose -5*j + u = 3*s, s + 148 = 3*s - 4*j. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 45*m**2 - 1. What is k(5)?\nAnswer: 1124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 - (-24 - (11 + -24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -723279170 - -2.116.\nAnswer: -723279167.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526428520 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - f - 2. Let d(n) = -5*n**2 + 2*n - 295. Calculate -d(c) - 2*r(c).\nAnswer: c**2 + 299","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) 0.6 (c) -3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + z - 7*z + (2 + 0 - 1)*(2*z - 3*z + 2*z) + (-1 + 0 - 2)*(-18*z - 31*z - 21*z).\nAnswer: 205*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(-1 - 4 - 3)*(28*x - 10*x**5 - 28*x).\nAnswer: 240*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + 5 + sqrt(1573) + (sqrt(1573) - sqrt(1573)*-2))*-2)**2.\nAnswer: 2200*sqrt(13) + 157400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 13, 23, 37, 55, 77?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1109 = -4*m, 4*m + 280 + 379 = -3*j. Let t be j\/34 - (-2)\/(-4). What are the prime factors of (-1)\/((21\/150)\/t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 12:06 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 4*w**2 - w - 4. Let l be r(-3). Let a = -8 + l. Solve -5*u + 2*u = a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -5634?\nAnswer: 5634.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/230?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1 + 3*u)*(4 - 4 - 2*u) + 59*u**2 - 17*u**2 + 27*u**2.\nAnswer: 63*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6 + 8*c**2 - 5 - 35*c**2.\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4, -26, 2\/7, 1\/4, -1.\nAnswer: -26, -1, -0.5, 1\/4, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y + 8. Let h(s) = 5*s - 8. Let q(v) = -6*h(v) - 5*x(v). Let g be q(6). What is g rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -59, -111, -197, -317, -471?\n\"Answer: -17*z**2 - z - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbsbbyssysybessyyib. What is prob of picking 4 b?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 8 - ((-36)\/3)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011012201 (base 3) in base 15?\nAnswer: c891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1632 + 1710. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 15092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/(-40) + -2 + 1 and (5*(-2)\/(-125))\/(272\/(-595))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 115892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(847\/(-99))*(-7)\/6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from aeiqieaalleqeeeqq?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -p + 2*u, 3*p - 12 = -u + 23. Suppose -x = -32 + 14. Let h = x - p. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.35?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j = 19. Let u = -79\/4 - j. Let z = 56 - 60. What is the nearest to 1 in -0.5, z, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0515 * -0.10729.\nAnswer: -0.005525435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 157193 and 9310599?\nAnswer: 1778324409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.11 (b) 3 (c) 0.0359 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6}. Give prob of picking 3 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v**2 + 864 + 723 + 721 - 2308.\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = l - 6, -4*l = -2*l. Let u be (-3)\/(-1) - (-3 - -4). Suppose -c + y = 5*j - 4*c, -4*j + u*c + 2 = 0. Is j < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -22637 and -1\/1566 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j + 2. Let x(l) = l - 1. Calculate f(i) + 4*x(i).\nAnswer: 11*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m - 5. Let u be 20\/6*(-3)\/(-2). Let t(z) = 3*z - 9. Let b(q) = u*c(q) - 3*t(q). What is b(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/5))\/v**(1\/2))\/(v*v*v**(-1\/8)*v*v*(v*v**(-2))\/v*v) assuming v is positive.\nAnswer: v**(-111\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 8*f + 26. Let a be t(14). Calculate the highest common divisor of 22 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 + 20*u**2 - 8*u - 73. Let v be j(-10). Suppose o - 4*b = -6 + 9, -3 = -o + 3*b. Solve -o*l + v = -5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 3, o: 9, g: 3, w: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 2*u = 23, -2*x = -4*x - 3*u - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kllslknlnlklknnlnnln?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*1.064.\nAnswer: 0.2128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 116615223 + 2?\nAnswer: 116615225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 45. What is the common denominator of 152*((-5)\/u)\/(-30) and 47\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 10*y**2 - 8*y + 10. Let o be z(-6). Let r = 1311 - o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1555496 is divided by 1182.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 5 (c) -4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288742 is divided by 36087?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 225. Let a(x) be the third derivative of -x**4\/12 - 1526*x**2. Give a(h(y)).\nAnswer: -2*y**2 + 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33392, -66790, -100188, -133586?\nAnswer: -166984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 18. Is d >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -387221, -387224, -387233, -387248, -387269, -387296, -387329?\n\"Answer: -3*c**2 + 6*c - 387224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 - 570.61523.\nAnswer: -570.67523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 7965 - q + 7965.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (87 + -15)*3\/(-4)*-2 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.513613448 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.47, 0.5, 65, -1\/2, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25049 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367410*d = -367384*d + 624 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -4 - -2)\/(4\/(-4)). Suppose -65 = -3*t - 2*i + 37, p = -2*t + 2*i + 58. What is the remainder when t is divided by (6\/(-9))\/((-2)\/33)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*h**4 + 11*h**2 - h**2 - h + 60*h**4 as w*h**2 + a*h**3 + r*h**4 + v + p*h and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7829*r + 7825*r - 15672*r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8480*f**4 + 14*f - 193791.\nAnswer: 33920*f**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7630 or 7629?\nAnswer: 7630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 0 + f - 11752*f**2 + 0 + 11758*f**2. Let w(d) = d**2 + 3*d + 3. Let o be w(-2). Calculate the remainder when 27 is divided by h(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7979*b**3 + 3 + 3248*b**3 - 1062*b - 3 + 1063*b in the form r*b + j + y*b**2 + s*b**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 70. Let a = 10 + 52. Let n = j + a. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11802?\nAnswer: 2, 3, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9245941, -9245954, -9245969, -9245986?\nAnswer: -9246005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -30*s**3 + s**2 + 2*s + 2. Let n be d(-1). Suppose 0 = -0*r - 5*r - 2*c + 91, 0 = 2*r - c - n. Calculate the remainder when r is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -5*r - 11, 4771*s - 7 = 4773*s + r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2568, -5149, -12866, -20583, -28300, -36017?\nAnswer: -43734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*v = -14, -4*v = 3*w - 1 - 1. Suppose 0 = -2*a + w, -2*j - 3*a - 37 = -j. Let d = j - -63. Calculate the greatest common factor of 34 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1586, -1591, -1596?\n\"Answer: -5*q - 1581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = s - 3*j, -2*j = -6*j + 8. Suppose 0 = 22*t + 30 - 558. Let m(i) = 15*i + 7*i - t*i. Determine m(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) + (sqrt(77) - (sqrt(77) + 2*sqrt(77))))*-1 - -5*-2*sqrt(77))\/((sqrt(7) + 1*sqrt(700))*4).\nAnswer: -2*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 14. Let a(o) = 3*o**3 - 16*o**2 - 9*o + 65. Let d be a(5). Suppose 0 = -5*p - 3 + 13. Sort u, d, p, -2.\nAnswer: d, -2, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**6\/120 - 13*x**5\/20 - 5*x**4\/12 + 43*x**3\/6 + 158*x**2. List the prime factors of m(40).\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -88*(-3)\/(-1)*21\/((-18900)\/15).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 59*p**2\/3 - 4*p\/3 - 55\/3 = 0.\nAnswer: -55\/59, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -28*w**3 - 3*w - 22. Let l(d) = -52*d**3 - 7*d - 44. Give -4*l(c) + 9*p(c).\nAnswer: -44*c**3 + c - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.5 - 0.5. Let a = 0.06 + 1.34. Let g = a + f. Round g to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*o**3 - 556*o - 58*o**3 - 94*o - 62*o**3 + 187*o**3 as q + w*o + b*o**2 + y*o**3 and give w.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/5 - 88*c**2\/5 - 192*c\/5 + 144.\nAnswer: (c - 10)*(c - 2)*(c + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 3 + 33 + 43)*(-5 - 2*o + 5).\nAnswer: -204*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1.894217 hours?\nAnswer: 6819181200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4199 at most -4199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 7:11 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -13*y - 13 + 16*y - 16*y. What is the units digit of m(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i**3 + 3*i**2 + 20*i - 25*i - 2 - 38*i**3 - 2. Is r(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and 0.11.\nAnswer: -1.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 s, and 2 c when four letters picked without replacement from {c: 11, e: 2, s: 1, k: 2}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -57. Which is the biggest value? (a) -1\/2 (b) t (c) 1\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134 - -143. Suppose -3*h = -4*x - z - 19, 0 = 3*x - 5*h + 32. Sort 17, 5, x, 3.\nAnswer: x, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11\/3, 8, 1.97, 9, 4, 3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 53, 50, 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26.4 + -11.4. Let m = r + -7.5. What is m rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128.1 - 8.9. Let l = -142 - x. Let t = 13 + -19. Which is the second biggest value? (a) 5 (b) -1\/5 (c) t (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 53. Let f = h - -41. What is the common denominator of -7\/48 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00031551 to five dps.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-128)\/(-56) + 4\/(-14). Let x(c) = 5*c**2 - 3*c - 1. Let y be x(-2). Suppose -g*h = 3*h + y. Sort 2, h, 5 in descending order.\nAnswer: 5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21002772377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-20))\/((-77)\/110)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032320022 (base 4) in base 6?\nAnswer: 20313214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 1*(-6)\/(-3). Let i(p) = 1 + 54 + p - p**3 - 30 - p**2 + 18 + 34. What is the tens digit of i(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 67753*v + 4. Let z(x) = 135507*x + 8. Let h(a) = 9*s(a) - 4*z(a). Let g be h(4). What is g rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 9*l - 40 = -5*l, -2*l - 4 = 0. Let a(w) = 3*w - 96. Let c be a(o). Which is bigger: c or 11\/8?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**6\/120 - d**5\/30 + 5*d**4\/12 + 13*d**3\/6 - 30*d**2. Let n be y(-4). Solve -4 = -2*m - 5*v + n, v = 3*m + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*d - 5 = 0, -3*u - 113 + 115 = -d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-2 - -4)) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-one quarters of a milligram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -2 + 21 + -15\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*b - 3*y + 2*y, 0 = 5*b - y - 71. Solve b = -5*x - p, 2*p + 21 - 5 = -4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 926.8 - 28. Let q = v + -700. What is q rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 6*i + 6. What is the lowest common multiple of g(5) and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 - 1 = 0. Suppose -g*l + 15 = -3*l. Suppose -j - p = -4*j + l, -5*j - p = -11. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 - -105.981. Let k = u - 0.125. What is k rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2468136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, 24\/5, -1\/2, 2\/5, 264, -11?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 2. Let p = 29 - 43. Let h = -15 - p. Which is the biggest value? (a) h (b) x (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**2\/2 + 1. Let r(v) be the second derivative of 7*v**3\/6 - v**2\/2 + 891*v. What is 6*n(p) - r(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 26898832.\nAnswer: 26898832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 316 divided by 4\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**4*m + 55*c**4 + c**3*m**2 - c**2*m**2 - 140*c*m**2 - 3*m**2 wrt c.\nAnswer: 72*c*m + 1320*c + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 16*m**2 - 8*m + 17. Let y = 19 - 4. Let p be g(y). Find the common denominator of -65\/9 and p\/(-42) - 2\/(-1).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1742 - 1741.998905. What is t rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0736 - 305.9264. Let s = 309 + l. Let n = 0.05 + -0.15. Which is the nearest to n? (a) -3 (b) s (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-477)\/(-81))\/(((-17)\/204)\/((-5)\/(100\/15))).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000037412 rounded to 7 dps?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/306648 and -1\/34072?\nAnswer: 306648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = r + 8, -4*r - q - 14 = -4*q. Let u be 0 + r\/(-1) + 1. Let o(y) = -y + 1. Let w be o(0). What is the greatest common factor of w and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 6*b**2 + 2*b + 7. Let t be k(-6). Let a be 4*(t\/6)\/5. Which is greater: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3362634 a multiple of 918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - (19 - 22 - (1 + -4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 0, -273536 in decreasing order.\nAnswer: 2, 0, -1, -273536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5*p + 308. Suppose 2*k - p = 3*i, 2*i + 20 = i - 5*k. Let v = -16 - i. Solve -2*d + 5*d + v = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3150993, 12603975, 28358947, 50415909, 78774861, 113435803, 154398735?\nAnswer: 201663657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*g + 52 = 0. Calculate the remainder when 62 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7263 times 0.2?\nAnswer: 1452.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 + -0.13. Are -1 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-475)\/1596)*(568\/(-28) + 16)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.803 (b) 37.5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**3\/6 - 3*d**2\/2 + 3*d. Let l be j(2). Let p be (l\/(-1) - 1) + 2. Solve 3*b + i = p, 0*i - 3 = -2*b - i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 3, -54227, -29 in increasing order.\nAnswer: -54227, -29, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 60 + 22)*(-2*n**5 + 2*n**2 - 2*n**2) + (0 + n**2 + 0)*(n**3 - 2*n**3 + 2*n**3) + n**5 - 3*n**5 - 2*n**5.\nAnswer: 17*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 27 - 3. Suppose 0 = -2*g + r + 27, 2*g - 21 = -r + h. Let z = 5 - 5. Solve -2*c = -4*k + 16, z = -5*c + 4*k + k - g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 98*z**2 - 156*z + 5712. What is j(97)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**4 + k**2 - k + 1. Let u(g) = -g**5 + 8*g**4 + 9*g**2 - 9*g + 9. Let y(d) = 2*u(d) - 18*w(d). Determine o so that y(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 - -17461?\nAnswer: 17438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**5 - 2*p**2 - 2*p - 5*p**5 + 5*p**5 + (2*p**5 + p**5 - p**5)*(6 - 3 - 2) - p**4 + p**4 + p**5 + 3*p**4 - 3*p**4 + 2*p**5.\nAnswer: 2*p**5 - 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (6 - (5 - -4 - 5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 8.7. Let d(s) = -s**2 - 4*s. Let u be d(-5). Which is the nearest to -1? (a) 2 (b) u (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53928 greater than -34912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 2. Let w be d(0). Suppose -6*t + w*t = -20. Let i = -4 - -3. Which is the third biggest value? (a) -1\/3 (b) i (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*g + 4 = -9, 2*v + 3*g - 22 = 0. Suppose 0 = 2*s + v*k + 6, -4 = 3*s - 5*k - 20. Sort 5, s, 25 in descending order.\nAnswer: 25, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, z: 1, w: 1, m: 3, b: 1}. Give prob of sequence zp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11154 - -3\nAnswer: -11151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07471 + -6.07471. What is the smallest value in 0.6, o, -1, 5, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/4 - 129*y**2\/4 - 120*y - 117.\nAnswer: -3*(y + 2)**2*(y + 39)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o - 3. Let x be h(4). Suppose -25 = -5*i - x*d, 14 = 2*i + 4*d - 6*d. Let b = 13.147 - 13.047. Put b, i, 1\/2 in ascending order.\nAnswer: b, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -11 + -8 + 8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51851256.\nAnswer: 2, 3, 2160469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(121)*-2)\/(sqrt(11) - (sqrt(77)\/(sqrt(35)\/sqrt(5)) + sqrt(11))).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 899389805 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -153 - -164. What is the remainder when 0 + 20 - 0\/1 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Calculate the smallest common multiple of 294 and 25578.\nAnswer: 25578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490 a factor of 125937067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/5 - 18*w**4\/5 = 0. What is w?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 908, 1520, 2126, 2726?\n\"Answer: -3*n**2 + 621*n + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 695219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**7\/630 - p**6\/180 - 13*p**5\/180 - 5*p**4\/36 + 29*p**2. Find g such that r(g) = 0.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3\/7 - 140844*s**2\/7 + 6472188*s\/7 + 13507776\/7 = 0. What is s?\nAnswer: -2, 48, 46902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*m**3 - 8*m**2 + 197*m**3 + 23*m**2 - 15*m**2.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -121?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1508657 divided by -5149.\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1358 and -2.\nAnswer: 2716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40860 and 108.\nAnswer: 122580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-9))\/(6\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a**3 - 13*a**2 - 226*a + 152 = 0 for a.\nAnswer: -19\/5, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 91\/42 + (-2 - 0\/3). What is the closest to 3 in -0.4, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -47 (b) -0.2 (c) 2 (d) -5 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 5. Determine t, given that 8 + t**w + t**2 - 42*t + 34*t = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (183\/(-671))\/((-1)\/(-11))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/22 and 91\/122.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 6*d**2 - 7*d + 3. Let w be q(-7). Suppose -w*o + 0 = -9. Let z = o + 81. What is the highest common factor of z and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/179 + -188\/537. Let n = -0.5 + 3.5. Let t = 1 + 1. What is the closest to u in -3, t, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06153 in -27\/4, -1\/3, -0.3, 5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(4032))\/(4*sqrt(484)*2))**2.\nAnswer: 63\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1127)\/(-9) - 12\/54. Let r = 35 + t. What is the highest common divisor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + d + 3*d - d - d + 0*d + (-1 + d + 1)*(-2 + 3 + 1) + 2 + 2*d - 2 - 4*d + d - 3*d)*(5*d - 9*d - 83*d)*(d**3 - 2 + 2).\nAnswer: 261*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n - 3. Let f be g(-2). Suppose -4*a = -8*x + f*x - 5284127, 0 = a - 4*x - 1321040. Let b = -121028 + a. What is b rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h. Suppose -6 = -4*v + 2. Let n be (16\/(-48))\/((-2 + 1)\/21). Let m(l) = n*l**2 + 3*l**2 - 6*l**2 - l**v. Determine q(m(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1401 or 1402?\nAnswer: 1401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44884584499 - -7.\nAnswer: -44884584492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (27\/3780*42)\/(4\/(-15))\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1836 + 23213. What are the prime factors of z?\nAnswer: 37, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213 (base 7) to base 15.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (199\/((-173727)\/(-1552)))\/40?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q + 5*q + 0*q**3 - 4*q**3 - q wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6225 - 5352. Calculate the smallest common multiple of 63 and t.\nAnswer: 6111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from wszsfwvvnfww?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -37944?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 3*f + f)*(4 - 3 - 3) + 0 - f + 0 + (-f + f - f)*(-2 - 1 + 4) - f + 5*f - f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/6)\/(1\/(-9)). Let b(q) = 2*q**4 - 7*q**2. Let z(s) = -s**4 + 3*s**2. Let m(u) = i*b(u) - 13*z(u). Find the third derivative of m(j) wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -11. Let r be x\/10 + (-34999995)\/25. What is r rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1323 divided by 9.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107 - 97. Calculate the highest common divisor of 40 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1160, -1874, -2588?\n\"Answer: -714*f - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 195.7?\nAnswer: -1957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2999546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 472 and 295.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -287\/46?\nAnswer: -287\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 156655440361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 d when four letters picked without replacement from {d: 3, n: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 2201*m + 1067089. Calculate s(1480).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 354448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k*k*k*k**17)\/k))\/k*k)**(4\/7)*(k*k**14)\/(k\/k**(1\/25)*k))**(-6\/17) assuming k is positive.\nAnswer: k**(-2892\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 696370 to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k. Let i(l) = 3. Give i(j) - 2*s(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {x: 10, v: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-347893)\/7646)\/((-13)\/(-2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10030 (base 4) to base 9\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*z + 6*z. Suppose w = 5*w - z. Factor 3\/4*u**w + 3\/4 - 3\/2*u.\nAnswer: 3*(u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26478338\/51531 - 5\/34354. Let r = c - -495. Let k = -338\/9 - -5471\/144. What is the common denominator of k and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 85*x**2 - 54*x - 8209. Let a(c) = -41*c**2 + 27*c + 4102. Let b(s) = -5*a(s) - 2*d(s). Differentiate b(j) with respect to j.\nAnswer: 70*j - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o. Let w(f) be the third derivative of -3*f**5\/20 - 4*f**2. Calculate w(q(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/1*(-4*60\/144 + (-1 - -3)).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + s - 5, 2*s - 10 = -2*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7725768 divided by 7725768.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4*12\/3. Let z be 1 + (-16)\/(a + -3). Suppose 0 = -3*m + h + 157, 4*m - h - 300 = -92. Calculate the highest common divisor of z and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126047 (base 8) to base 9.\nAnswer: 66407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153100 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -657918*t**3 - 22890*t**2.\nAnswer: -3947508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 329009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**0\/q*q**(-4)*q*(q**(-1\/3))**(11\/5) assuming q is positive.\nAnswer: q**(-71\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yogpn. Give prob of picking 1 g and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -12362, -1\/5, -151?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48463.\nAnswer: 48463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 27.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -1066 in increasing order.\nAnswer: -1066, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -90. Let q be 55\/176*y\/(-10). Which is the closest to 0.1? (a) -2\/11 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1983215 rounded to three dps?\nAnswer: -1.198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42361131 (base 8) to base 9.\nAnswer: 18002518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (46 + -29)) + 15 + 128 + (-11 - 1).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-5 - (-1 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 + 2*z**5 - 4*z**3)*(4 - 5 - 1) - z**5 - 19*z**5 + 2*z**5.\nAnswer: -22*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -4*b + 737 - 718, b = 4*o + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8214 (base 12) in base 10?\nAnswer: -14128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 f when four letters picked without replacement from {p: 1, n: 1, f: 1, y: 1, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131 - -154. What is the remainder when o is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32014 - -32031. What is the remainder when 1698 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3567 = 5*l, -w + 87*l = 83*l - 3594. Is 3584 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 5*k + 4*k)*(29*k**2 + 38 - 32*k**2 + 4*k**2)*(-20 - 2 - 5)*(k + k - 3*k)*(-4 - 1 + 4).\nAnswer: -54*k**4 - 2052*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15786 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6*j = 0. Suppose j = 5*q - 0*q. Suppose 0 = 4*i - 2*i + 10. Put i, q, 2 in ascending order.\nAnswer: i, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 - 3*t**2 - 2*t**2)*(2 - 2 + t) - 367*t**3 + 799*t**3 + 429*t**3.\nAnswer: 862*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 10 - 14038*f + 14037*f - 10 + 0 + 55*f**3.\nAnswer: 52*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1882 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/12)*c**(-6))\/(c*c**(1\/4))**(-7\/8) assuming c is positive.\nAnswer: c**(-463\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**6\/30 - l**4\/2 - 5*l. What is the third derivative of d(q) wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 18\/7 of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16203639 a multiple of 1963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 961454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10910, -10923, -10936, -10949?\n\"Answer: -13*b - 10897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 836 + 828 - 1664 - 41*n**2 + 2*n.\nAnswer: -41*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63051?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123*l**2 + 87*l + 40*l + 462 - 462 wrt l.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 546 = 120. Suppose -212 = -4*f - 4*o, -5*f - 4*o = -c - 39. Calculate the remainder when 9\/3 - f\/(-7) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/5380298 and -89\/347116.\nAnswer: 10760596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5217?\nAnswer: 3, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 20) + (1 - 6) - 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111 - 101101?\nAnswer: -1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*f - 219 = -93. Which is the nearest to 1\/3? (a) -0.2 (b) -31 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(3) - (0 + sqrt(3) + 1)**2).\nAnswer: 2*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2.63 * -7\nAnswer: -18.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - q**2 - q + 5. Let l be j(0). Suppose -l*h + 182 = 37. What is the remainder when 110 is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.739, 2, 6\/7, -0.5?\nAnswer: 0.739","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-72)\/378) + -38\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 47290*s**3 + 47296*s**3 + s.\nAnswer: 6*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4794 - 4793.6. Let b be (-12)\/(-7) + 6\/21. What is the closest to b in 2\/7, 3\/2, h?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -44*q**3 - 7*q**2 + 2*q - 3 + 4*q - 2*q + 45*q**3. Let z be (-1)\/(-2*(-2)\/(-28)). Let j be b(z). Solve -5*a - j = -0*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y = 31*y - 64 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -190 - -186. Let m = 45 + -44. What is the fourth smallest value in 0.3, m, h, -10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -661 (b) 0.02 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - 143. What are the prime factors of w\/(-5) + (-21)\/35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 301, 436, 575, 718, 865, 1016?\nAnswer: 1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-42))\/(5*(-14)\/2695).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49583 + -26844. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 23*c - 45. Let b be u(2). Let i(l) = 5*l + 22. Let q be i(-9). Let g = 26 + q. Put b, 5, g in ascending order.\nAnswer: b, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 867 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 50*g**2 + 23*g - 1257. Calculate j(50).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 685913919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2. Let z = 0 + -1. Let p be b(z). Suppose 2*i + p - 13 = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, u: 6, j: 2, a: 4, p: 1}. Give prob of picking 1 q, 2 a, and 1 u.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 110647\/8652 or 12?\nAnswer: 110647\/8652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 + 394*i**3 - 979*i + 16 - 15 + 978*i in the form o + k*i**2 + v*i + y*i**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r - 19*r = 20. Suppose -2 + 27 = 5*y. What is the greatest common factor of r and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449535854 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -4, -1\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppzszssss. What is prob of picking 1 z and 1 s?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 0 + 0*u**3 - 31\/35*u**7 + 13\/8*u**6 + 1\/2*u**4 - 3*u**2 - 7\/5*u**5 + 3\/16*u**8 + 0*u. Solve f(s) = 0 for s.\nAnswer: 0, 2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -2\/3*a**4 + 0 + 0*a - 7*a**2 + 2\/15*a**5 - 29\/6*a**3. Let n(r) = 4*r**2 - 8*r - 15. Let d(w) = 5*n(w) - 3*o(w). Factor d(z).\nAnswer: -4*(z - 3)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-27 - -15 - -12)\/(-2))*(-75)\/3\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 - 2*q - 6. Let r(o) = 0*o + 2*o - 4*o**2 + 11 - o**2 - 4. What is -6*g(n) - 5*r(n)?\nAnswer: n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6166342 is divided by 2055445?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-192)\/576)\/((-373)\/(-186) + -2). Let v = -84 - -151. Let r = v + q. Solve -2*t = 3*t - r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-3)\/9 - (0 + 18 + -9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2\/7 + 2570*p\/7 - 7692\/7 = 0.\nAnswer: 3, 1282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = -4*n - 124. Suppose 7*f - 186 = -n. Find the first derivative of 3 + f - 9 + 39*o**2 + 18 wrt o.\nAnswer: 78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7183884?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/40 - (-1)\/(-4) - 21\/(-105)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)\/(sqrt(8) + sqrt(32) + sqrt(8)))\/((-2*sqrt(24))\/sqrt(3)) - ((sqrt(10) - 1*sqrt(1000))\/(sqrt(18)*5))**2.\nAnswer: -9\/5 - sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -163 + 162.9. Let p be 1\/(-2)*1\/(-2). Sort o, 11\/5, p in increasing order.\nAnswer: o, p, 11\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222101201 (base 6) in base 13?\nAnswer: aa9caa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120718 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, 2, 36.49?\nAnswer: 36.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(847) + -1*sqrt(847) + sqrt(847) + sqrt(847))**2 - (-1 + sqrt(847) + -5).\nAnswer: -11*sqrt(7) + 3397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/5 (b) 1\/6 (c) -0.1 (d) -19 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 3, 2, -3.\nAnswer: -3, 0, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -343 - -3776\/11. Let h be (2\/4)\/(2\/(-12)). Let n be 3 + h + 0\/(-2). Is n bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, 1, -0.162, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 201*m - 115632*m**2 + 114867*m**2 + 528*m wrt m?\nAnswer: -1530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7135547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Let w(a) = 4*a - a - m*a. What are the prime factors of w(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -53, -120, -191, -272, -369, -488, -635, -816?\n\"Answer: -n**3 + 4*n**2 - 72*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 8:25 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**4\/6 - 3*v**3\/2 + v**2\/2 + 3. Let a(z) be the second derivative of i(z). What is the units digit of a(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 14*p - 4. Suppose -5*h + 4*j - 13 = 0, 2*h + 18*j + 16 = 16*j. Let d(b) = 9*b - 3. Let l be (16\/3)\/((-2)\/(-3)). What is h*r(t) + l*d(t)?\nAnswer: 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2 + 2*q. Let d be m(1). Solve -d*r - 21 = 2*h - 5, 4*h + 14 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*j - 364, 0 = -2*z + j - 0*j + 191. Let w = -360 - -424. Let m = z + w. Does 32 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6646880, -6646913, -6646946, -6646979?\nAnswer: -6647012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 3*o**2. Let d(l) = -l**3 - 4*l**2 + 2*l + 5. Suppose x = -0*x - 4*h + 4, -4*x = 3*h - 29. Let m = 4 - x. Let s be d(m). Give v(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8148)\/485)\/(540\/3150)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*f - 56*f = 3*x + 6, 2*f + 3*x = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*j**3 + 0*j - 3\/7*j**4 + 243\/7*j**2 = 0.\nAnswer: -9, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 171, 350, 529, 708, 887, 1066?\n\"Answer: 179*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 62 - -5?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -7. Let l be (2 - o)*(-28)\/21. Solve 0*p = -2*p + z - 7, -1 = -p - l*z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0317343 to four dps.\nAnswer: 0.0317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 + -32 + (-15 - (-7 + 13 - 4))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -889 - -457. Let f = v + 2168\/5. Which is bigger: 3 or f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 1:11 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 25509800 to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + -4*sqrt(70)*-2 + 1*(sqrt(70) + 4*sqrt(70) - sqrt(70) - sqrt(70)))\/((sqrt(120)*-1)\/(sqrt(3)*-1*5)).\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 443 (base 5) to base 7\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -111701 (base 10) to base 6\nAnswer: -2221045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-14) - 22\/(-70). Let m = 1521\/77 - 222\/11. Let h = 17 - 18. What is the smallest value in h, m, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 205 = 5*j, 2*i - 4*i - 3*j + 105 = 0. Suppose i + 60 = s + 5*u, 279 = 3*s + 3*u. Let g = s - 448\/5. Is 1 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2497778943.\nAnswer: 3, 11, 37, 103, 19861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1773601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*k + 1013 = 0, a - 57*k + 1048 = -54*k. Is a greater than or equal to -1027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 612 - 384. Suppose -24*d - b = -28*d. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 279, 1, 2\/9, -4, -4\/7, 2 in ascending order.\nAnswer: -4, -4\/7, 2\/9, 1, 2, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/559 in -0.3, 10, -5\/56?\nAnswer: -5\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82)\/(-56)*7 + 1\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28461 or 28465?\nAnswer: 28465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a microsecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n**2 + 4. Let g(f) = 1. Suppose 3*q - o = -2, -2*o = 4*q + 68 - 82. Give q*s(h) - 5*g(h).\nAnswer: 7*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 927, 923, 907, 873, 815, 727, 603?\n\"Answer: -i**3 + 3*i + 925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5764607684.\nAnswer: 2, 11, 131013811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0*-38.3552\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6845\/6 - 185\/3*j - 5\/6*j**2.\nAnswer: -5*(j + 37)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1712223 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(29\/(-145))\/(6\/5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79768 = 9*w - 36692. Suppose -l = l + p - w, 3*l + 2*p - 19408 = 0. Suppose -t = y - l - 2925, -3*y - 2*t = -28194. Round y to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u - 16 + 484 = 0 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3926 a factor of 1703664144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -160*s - 2638. Determine n(-17).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1244468904907 + -7.\nAnswer: -6.8755531095093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one quarters of a millennium?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 5 = 21*c - 365 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-516)\/1290)\/(-6 - -7 - 3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3444\/2296*(-3)\/18.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -337, -291, -225, -145, -57?\n\"Answer: -l**3 + 16*l**2 + 5*l - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 4*f + 1, 0 = -w + 4*f - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -124, -125, -126, -127?\n\"Answer: -c - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4c0876 (base 13) to base 6\nAnswer: -103113121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.06569395 + -0.2\nAnswer: -0.13430605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2 - 98*w + 1725 = 0. What is w?\nAnswer: 23, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**15\/(u*u*u*u**11*u))\/(u**(3\/2)\/(u\/u**(-6)*u)) assuming u is positive.\nAnswer: u**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Let p = 2 - 0. Find the second derivative of -u**p - u + u**2 - 3*u**g - u wrt u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-10)\/40*(0 - -18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3057*n - 1537*n - 1526*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7485, -7495, -7517, -7557, -7621, -7715, -7845, -8017?\nAnswer: -8237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12*((-825)\/44)\/25\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -2, 15460, 16, 0.9, -3 in descending order.\nAnswer: 15460, 16, 0.9, -2\/7, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2857, 12039, 27285, 48601, 75993, 109467, 149029?\n\"Answer: h**3 + 3026*h**2 + 97*h - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkkkkhkkkkkkkkkhkkk?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146303155 (base 7) to base 3.\nAnswer: 200110201120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000874 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5\/6)\/i**(-1\/25)*(i*i**(1\/4)*i)**13 assuming i is positive.\nAnswer: i**(8537\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*r = -29*r - 1093071. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - a. Let q be (-21)\/(-35) - 356\/10. Let z(l) = 45*l**5 - 12*l**4 - 45*l**3 + 14*l**2 + 14*l - 2. Let f(g) = q*x(g) - 5*z(g). Solve f(i) = 0.\nAnswer: -1, -2\/5, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5343950 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 + 1 + -2 - (323 - (291 + 17))?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (4 + 1) - -38?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 757*m + 11. Let u(o) = 1139*o + 15. Determine 7*c(t) - 5*u(t).\nAnswer: -396*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 1556 - 0*2\/(-4). Let y = m - 175. Let a = y - 892. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-2 + -1 + 0). Let b = -10 - j. What is the third derivative of 5*x**2 + 2*x**3 + 2*x**2 + 2*x**3 + 0*x**b wrt x?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 4:29 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, 0.1, -3, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/7, 4, -7183\/14, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 3*f + 6. Let k(y) = 2*y**2 - 5*y + 13. Let s(l) = -5*c(l) + 2*k(l). Let z be s(4). Factor 0*a - 1\/5*a**3 + 0 + z*a**2.\nAnswer: -a**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 4*s**2 - 2*s**2)*(-2 + 3 + 1)*(-13*s + 5*s + 13*s).\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + z - 61317, 0 = -9*n + 10*n + 2*z - 15338. What is the greatest common divisor of 32 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -45\/4*k**4 + 49\/10*k**6 - 6*k**2 - 70 - k - 14*k**3 + 21\/5*k**5. Factor x(a).\nAnswer: 3*(a - 1)*(a + 1)*(7*a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2032717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34945043*n**4 - 19734*n + 1160 wrt n.\nAnswer: 419340516*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwllllooll. Give prob of sequence llw.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21166725 is divided by 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 252 = 9*i, -i = -66*b + 117*b - 49*b + 28 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -5*y**3\/3 + 1. Let w(j) = 3*j**2 - 3 + 3 - 2*j**2. Determine w(t(a)).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6487 and -2107.\nAnswer: -1366.8109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -181, -178, -173, -166, -157?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + h = -25. Suppose r - 17 = -4*l, -9 = -3*r - 4*l + 2. Let s = r - -5. Put -8, s, h in increasing order.\nAnswer: -8, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/25)*w*w*w\/(w*w**(-13)\/w)*w*w*(w\/(w\/(w*w\/(((w**(11\/7)*w)\/w)\/w))))\/(w**(-3\/17)\/w) assuming w is positive.\nAnswer: w**(60824\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -30*d - 49. Let t(m) = 61*m + 115. Let a(l) = -7*p(l) - 3*t(l). Let y(b) = 18*b. Give a(y(k)).\nAnswer: 486*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28 + 3*p - 92*p**2 + 91*p**2 + 3*p - 815*p**4 wrt p?\nAnswer: -9780*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjjjjjjmq. What is prob of sequence jq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 96 = 4*m, -4 = -p + 5*m - 20. Let k = p - -29. Let f = 5 - 8. Put -0.3, f, k in decreasing order.\nAnswer: k, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/4*66\/(-9). Solve -4*c - u = 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1196324)\/3358 - -378) + 6\/23.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b = 101*b + 31*b - 2232 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 23817154*a\/3 - 141814206164929\/3.\nAnswer: -(a + 11908577)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q. Let b be (5\/10 - -4)\/(2\/892). Let k(n) = -b + 2*n + 2007. Determine -5*k(g) + 4*u(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 4*h - 6. Let x be s(-3). Suppose 2*t - 28 + 22 = x. Solve 3*z - 10 = w, -2*w + 24 = 2*z + t*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**3 - 12*a**2 + 36*a = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20388?\nAnswer: 2, 3, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*i = 6316 - 1801 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92119?\nAnswer: 92119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 5*z**2 - 6*z + 2. Let a be j(6). Is (-1 + a)\/(5\/1655) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 5*r - 43. Calculate o(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10290042 to the nearest integer?\nAnswer: 3208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 887081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven thirds of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -916 * 883.\nAnswer: -808828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**3\/11 - 58*p**2\/11 + 2308*p\/11 - 4368\/11 = 0.\nAnswer: -52, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1724 - 1737)*10\/26?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -45, -51, -59?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/o)\/o*o*o*o**12*(o**(-2\/29)\/o)\/(o\/(o\/(o**(-2\/21)*o)*o)) assuming o is positive.\nAnswer: o**(7933\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 3*m + 9. Let q = -17 + 11. What are the prime factors of f(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2382 - -111949\/47. Let t be 3\/(-9)*((-12 - -3) + 9). Which is greater: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 + 21500188*m\/11 - 57782260504418\/11.\nAnswer: -2*(m - 5375047)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2))**(-30)*r**(-4)\/((r*r*r\/(((r*r**8)\/r)\/r)*r*r)\/r) assuming r is positive.\nAnswer: r**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/5, -29, 106, 3\/5, 1\/12, 155?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7518 + -7454. Calculate the least common multiple of 58 and c.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 2. Let g be t(2). Let k(y) = y**2 + 5*y + 1. Let b be k(-4). Let x be (b\/10)\/(12\/(-10)). Which is smaller: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.625989g to micrograms.\nAnswer: 2625989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 2*i**2 - 3*i**2)*(93*i**3 - 12*i**3 + 3*i**3) + 2 - i**4 + i**5 - 2.\nAnswer: -251*i**5 - i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -75989, -76300, -76595, -76868, -77113, -77324, -77495, -77620?\n\"Answer: j**3 + 2*j**2 - 324*j - 75668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*d + 2 + 4*d + (10*d + 0*d + 0*d)*(-2 + 4 + 1) + (-4*d + 7*d + 0*d)*(2 - 2 - 2) as o + y*d and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 387.9 + -387.9. Which is the nearest to -0.4? (a) 24 (b) -2\/13 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 2*m**2 - 2*m + 7. Let l be w(3). Let v(x) = -x. Let f be v(-3). Factor 2*d**5 - 11*d**2 + l*d**4 + 24*d**3 + 19*d**2 - 8*d**f.\nAnswer: 2*d**2*(d + 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7*k = 3*t + 206, -4*k - 3*t = -194. Calculate the lowest common multiple of k and (-5)\/15 - 31\/(-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + 2 + (-3 - -2) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 82656756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-18))\/((-4275)\/2565)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 887 + 22*a - 22*a + 14*a.\nAnswer: 14*a + 887","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -367 by -5.\nAnswer: 367\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 215*t**2 + 5*t - 215.\nAnswer: -5*(t - 43)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 86.12 and -1.347?\nAnswer: -116.00364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -623*l - 18. Is a(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + -1 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - f + 12 = 0, 4*a + f - 15 = -a. Suppose 0*b + a*b = 0. Solve -2*u - 4*x = 2, -x + b*x - 2 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147)\/(sqrt(21)\/sqrt(3)) + sqrt(21))*-1)\/(sqrt(14)\/(sqrt(32) + sqrt(32)*1 + sqrt(32) + sqrt(2))))**2.\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-9 - -10) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55593.0000097332 - -55593. Round h to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 31*x. Let h(r) = 3*r**2 - r - 31052. Determine h(d(j)).\nAnswer: 2883*j**2 - 31*j - 31052","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**4\/4 + 2*a**3 + 7*a + 7. Let t = -12 + 18. Calculate the lowest common multiple of 7 and b(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = v + w, 2*v - 378*w - 74 = -194*w - 272*w for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 + 172. Does 21 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20452 + -20451. Let g = 0.8 + -0.3. Let d = -0.8 + g. Which is the closest to 0? (a) d (b) 19 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29435 and 36946.\nAnswer: 5357170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 9 - 26*r**3 + 0 + 7 + 4.\nAnswer: -26*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -3 (c) 0.1 (d) -2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -506 + 503. Calculate the remainder when 4 + 171 - (-1)\/(l\/(-15)) is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.951 + 0.049. Let m = d - 44. Which is smaller: 0.4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004498513 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -292 less than -292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -31?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(110\/10)*-2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33864979?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6) - (-292)\/(-42). Let p = 300 - 4183\/14. Let j = z - p. What is the common denominator of j and -37\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 4370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 4*f**7\/315 + 139*f**6\/180 + 293*f**5\/18 + 1375*f**4\/12 - 125*f**3 - 3136*f**2. Determine t so that x(t) = 0.\nAnswer: -15, -5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/5 of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 7613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -11. Let s be (-1)\/(2 - (-2 + 3)). Find the common denominator of -47\/14 and ((-50)\/f)\/(s - -2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**6\/120 + j**5\/60 + j**4\/12 - j**3\/2 + j**2. Suppose 3*h - 14 = -4*h. Calculate n(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130 + -184. Let p = l + 502. List the prime factors of p.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2463962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 105\/(-9) - 1\/3. Let z be -6*(116\/k - -3). What is the highest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qee when three letters picked without replacement from eeeeqeeeeeeee.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.843 and -184833760.\nAnswer: -184833757.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 51668, 49929, 48190?\n\"Answer: -1739*i + 53407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2 - 1 - 10*r + 19*r - 102*r. Suppose -2*p = 4*a + 8, -a = -5*p + 2*a - 20. Is g(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 15. Let u be a(11). Suppose -4*r - u*n = r - 19, 3 = 2*r - 3*n. Suppose r*l = 4*l - 2. Solve -7*z + l*z = 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 6*h**2 + 240*h + 924. Let q be y(-4). Sort -2149, q, -2.\nAnswer: -2149, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5562 and 490914.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 4*q - 4. Let l(y) = y + 7. Let i be l(-3). Is 17 a factor of w(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03557 to 3 dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022111120 - -101?\nAnswer: -1022111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68158*g - 3480 = 68274*g for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggzgggggggg. What is prob of picking 1 g and 3 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-10) - (-786)\/15. Suppose 3*n + 2*n = -5*b + 40, -3*n = -4*b + z. Find the first derivative of -b*d**3 - 3 + 0 + 13*d**3 wrt d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*z + 75*z - 20*z)*(-1 + 1 - 2 + (85 - 3 - 4)*(-4 + 1 + 1) - 5 + 0 + 4).\nAnswer: -3339*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 9*d**2 + 10*d + 12. Let c be u(10). Let n be 3\/(-6) - c\/(-56). Which is smaller: 0.2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*j**3 + 6*j**3 + 0*j**3)*(2*j**2 - j**2 + j**2).\nAnswer: 12*j**5 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1198a2 (base 11) to base 10\nAnswer: 188751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + -3 + 9 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1 + sqrt(847))**2 + -5 - 5*(sqrt(847) + (sqrt(847) + -2*sqrt(847))**2)).\nAnswer: -3392 - 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.43 + -0.13. Which is the closest to o? (a) 1 (b) -0.1 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = 11*y - 121. Let r(a) = -2 + 5*a - y*a**2 - 17*a**2 - 15*a + 1 + 12*a. What is r(1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -v - 3, -4*s = 3*v - 9*s + 13. Let r(y) = y**2 + 2*y + 1. Calculate the remainder when (-4)\/(-2) + v - -25 is divided by r(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156 - 221. Let b = 60.95 + t. Round b to one decimal place.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 930, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -56*m. Let y = 3 + -1. Let g(d) = -d - 6*d + y*d. Let j = 55440 - 55434. What is j*s(n) - 68*g(n)?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2113632 and 9184.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxrxxxxxxxxxxx?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23 and 44.5.\nAnswer: 1023.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 2*o - 2. Let y be v(-2). Let h = y - 340. What is the units digit of h\/(-22) + 4\/(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h**2 - h - 1. Let m be x(-3). Let b(u) = -u**2 - 9*u + 7. Let j be b(-9). Suppose 2*p - j*p = -m. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*(-12)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4598258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/12 + 2 - (14 - 8). Factor i + 1\/3*c + 1\/6*c**2.\nAnswer: (c + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.783 - -0.611. Let f = 0.172 + u. What is the fourth biggest value in 1, f, -0.01, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 24. Give s(30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/64687 + -2199468\/3557785. Let r = 539992\/45 - 11999. Find the common denominator of y and r.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 360.6807406 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -18. Let p(t) = -t - 5. Let u be p(j). What is the second derivative of 3*w**4 - w - 3*w - 6*w**u + w wrt w?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)\/b**(-14))\/(b**0)**(12\/13))**7 assuming b is positive.\nAnswer: b**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5 = -3*h, 0 = 5*c - h + 12 - 35. Solve -c*k + 9 = u + 21, -5*k + u = 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47669291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 + 148*d - 146*d + 174 to t + b*d and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206.9 + -216. Let j = 9.09999834 + q. Round j to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.541251cm to kilometers.\nAnswer: 0.00001541251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -871 = -2*b - i, -i + 509 = b + 73. List the prime factors of b.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - p - 14 = -2, 30 = -5*q - 5*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Let o = -111.483 + 111.383. Which is the fourth smallest value? (a) 4 (b) -1\/3 (c) q (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**4 + 4*r**4 + 2*r**4)*(-2*r + 5 - 5) - r**3 + 19*r**4 + 4982*r**5 + 40*r - 4984*r**5 - 38*r.\nAnswer: -6*r**5 + 19*r**4 - r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.984 rounded to 2 dps?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 25. What is the remainder when 4\/(-6)*(-279)\/6 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289243804 to the nearest integer?\nAnswer: 17007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42859\/5 + -8623. Let w = 51 + q. Which is the closest to -1? (a) 0.4 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-23 - -26 - (0 - 0)) - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -499636, -1998543, -4496720, -7994167, -12490884, -17986871?\n\"Answer: -499635*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/5*61\/(-183). Solve 5*m - 5*c = -6*c + 10, l = -5*c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 15, 36, 67, 108?\n\"Answer: 5*w**2 - 4*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 4*v**2 + 2*v. Let z be q(-3). What is the smallest value in -1\/7, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11211331 from 0.0399.\nAnswer: -11211330.9601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-four fifths of a micrometer?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8) - (-3)\/((-36)\/(-15))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 29190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18361, -36019, -53677, -71335, -88993?\nAnswer: -106651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v + 5*m = -35, -5*v + 41 = -4*m. Suppose -5*g - n = -9, 5*g - 9*g + 24 = v*n. Is g bigger than 4\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.12 (b) 1 (c) -2\/13 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/108)\/(6\/810*-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, l: 2, r: 1, h: 2, y: 1, c: 6}. What is prob of picking 1 r and 3 c?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*j - 61 = 636 - 67 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j - 23. Let g be o(-5). Suppose 3*v - 4676 = 2*f, -2*f + 0*f = g. Suppose -3*s = 4*c - v, -5*c = 4*s - 0*s - 2079. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433858422?\nAnswer: 2, 3, 71, 1018447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2174)\/10 + (0 - 0))\/12. Let o = -19\/30 + y. Find the common denominator of o and 47\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3573.23 rounded to the nearest ten?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11*u**2 - u + 11. Let v(r) = -11*r**2 - 2*r + 12. Let k(d) = 5*o(d) - 4*v(d). Let f be k(-4). Let g = f + 347. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000109505 to seven dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563828502 to the power of 1\/2, to the nearest integer?\nAnswer: 39545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -3.9. Let s = i - 6. What is the second biggest value in -0.3, s, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*b - 64*b + 111 = 0. Sort 1, b, -2, 4 in decreasing order.\nAnswer: 4, 1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239 divided by -3.\nAnswer: 239\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 10. Let c(z) be the second derivative of -z**5\/20 - 2*z**4\/3 - 5*z**3\/6 + 2*z**2 - 2*z - 2395. Calculate c(g).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 n when four letters picked without replacement from unwwuwwwwwwuuuwwuww.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 10:59 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553854350?\nAnswer: 2, 5, 7, 226063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*u = 1166 + 1318 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 + 7.02. Let m = d - 11. What is the closest to 1 in 4, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -191 + 143 + (38 - 13).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 97176*d + 2 + 95757*d - 192936*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**8\/64 + 221*o**6\/720 - 41*o**5\/12 - 100*o**2. Let z(r) be the third derivative of q(r). Differentiate z(n) wrt n.\nAnswer: -630*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-458\nAnswer: -91.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*h - 189 = 54*h + 791 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*f - 36 = 108. Let o = 10 - 8. Which is the closest to o? (a) f (b) 1\/7 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9*h - 1. Let b = 26 + -36. Calculate the remainder when z(1) is divided by -3*(b\/3)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/9 + 80\/180. Put 2, -4, l in decreasing order.\nAnswer: 2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*q - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3724 + 15271. List the prime factors of k.\nAnswer: 5, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 14 = 3*t - 58, 0 = -a - 2*t + 24. Calculate the remainder when 40 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3 + 7*i + 0 - i**2 - 15*i. Let w be u(-7). Is (-140)\/8*w\/(-5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/23)\/(x\/(x\/x**(-1\/5)*x)))\/(x**(2\/13)*x**16))**8 assuming x is positive.\nAnswer: x**(-179888\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101000010001011 - 10010101010?\nAnswer: -101101010100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y - 8. List the prime factors of b(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(3 + 2*t - 3) + 2*t + 0*t + 0*t - 1 + 1 + t + 2*t - 2*t - 8*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*t = -230*t + 165*t + 4914 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -581 or -586?\nAnswer: -586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48460861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**5 - 2375*q**4 + 224520*q**3 - 4089600*q**2 = 0. What is q?\nAnswer: 0, 24, 96, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((1*sqrt(48))\/sqrt(8) - (sqrt(6) + sqrt(18)\/sqrt(3))*5)\/(sqrt(216)\/sqrt(12)*-3) + -3)**2.\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2114 and 53756.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 2, 21, 60, 125, 222, 357?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 6:44 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1435 + 220. Let y = b + 1746. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltt when three letters picked without replacement from lttttllltttlt?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*72.02.\nAnswer: -7.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 214798, 429622, 644446, 859270?\nAnswer: 1074094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/6 (b) 2\/7 (c) -19\/4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -90030, -179893, -269420, -358443, -446794, -534305?\n\"Answer: 28*i**3 - 90059*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 69*s + 73*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213092 is divided by 107?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d + 4*d + d)*(-3 + 6 - 2*d + 2)*(1 - 1 + 2) to the form o + u*d**2 + m*d and give m.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17360 by 18.\nAnswer: 8680\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3056?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5625422*o - 5625439*o - 1.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 144423 + -113?\nAnswer: 144310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 14\/53 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 9 = 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6*s**(2\/17))\/(s**(1\/7)\/(s\/s**23)) assuming s is positive.\nAnswer: s**(-1907\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 175 - 104. Suppose 3*v + 23 = r. Let z be ((-12)\/v)\/(1\/(-4)). Solve z*y = 0, 5*y = -4*p - 3 + 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*c - 1)*(-165*c**2 + 595*c**2 - 9 + 9).\nAnswer: 860*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/35)\/(3\/(-6)). Which is the third smallest value? (a) z (b) 2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853 times -0.3?\nAnswer: -555.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 5*i + 110. What is the remainder when (-257)\/(-4) - 3\/12 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (383*s + 150*s - 2*s**3 - 90*s)*(-2*s + s - s).\nAnswer: 4*s**4 - 886*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131338897*l**2 + 54954488*l wrt l.\nAnswer: 262677794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.2 (b) 2\/19 (c) -1\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/20*((-46)\/12)\/((-70)\/(-1050))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 1. Suppose -5*j - 19 - 6 = 0. Let u(s) = -6*s + 1. What is j*l(p) + u(p)?\nAnswer: -p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8733.29263213 and 5?\nAnswer: 8728.29263213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 158 times -0.5\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**11)**(-13) assuming m is positive.\nAnswer: m**(-143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, c: 3, l: 6, k: 2, j: 1}. What is prob of picking 2 l, 1 x, and 1 k?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3344, 3250, 3156, 3062, 2968, 2874?\n\"Answer: -94*u + 3438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 56 = -2*j, -p = 4*j - 3*p - 96. Suppose j = f - 3*f - 2*g, f - 4 = 2*g. Let m be (f\/(-4))\/(24\/32). Do 0.1 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u - 3. Suppose 2*w = -w + 9. Let c be v(w). Let i = c + 21. What is the remainder when i is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n**3 - 10 + 10)*(10165 - 10165 + 939*n).\nAnswer: 7512*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(13))*-4 + -1 - ((sqrt(13) + (sqrt(104)\/sqrt(4))\/sqrt(2))**2 - ((sqrt(13) + sqrt(39)\/sqrt(3))*-6)**2).\nAnswer: -4*sqrt(13) + 1818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-36)\/7)\/((-990)\/245 + 4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 155 (b) -4 (c) -533\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6639607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s - 7. Let u = -718 + 714. Let p be (-3 + 0)\/(-2 + 3). Let l(i) = -3*i + 6. Give p*h(a) + u*l(a).\nAnswer: 3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 487 - 1187. Let y = -695 - u. Which is greater: y or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21045663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2)\/s*s\/s**(-1)*s*((s**2\/s)\/s)**(-4\/21) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -43. Let h = 54 - v. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1e21 (base 15) to base 16\nAnswer: 199c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7133*w**4 - 38*w**2 + 100*w - 2 wrt w.\nAnswer: 171192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 13 = c + x, -12 = 2*c + 4*x. Suppose c*i + 28 = 4*f, 0*f - 3 = f + i. Let p be f - (-3 + (-19)\/(-4)). Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 665651409 to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 113778 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - -1 - (-6 - -13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4852117203916\/1494021555 - -2\/166002395. Let b = g - 3246. What is the common denominator of b and 41\/81?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.9 + -2.1. Let r = 98.7 + -98.3. What is the nearest to 1\/2 in l, r, 1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.443 - 1.557. Suppose -3*m = 2*m - 15. What is the nearest to 1 in m, q, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 155 = g, -g = 2*q + q - 131. Let s = g + -45. What is the lowest common multiple of 16 and s?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2 = -4*f, 4*f - 1 = 3*o - 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 2144519?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*j - 8 = -98*j, 0 = -d + j + 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 743*l**3*z**2 - 411678970*l**3 - 5260*l**2*z**4 with respect to z.\nAnswer: 1486*l**3*z - 21040*l**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = 77*i - 265*i + 186*i + 3*l, -2*i = -l + 82 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1532 is divided by 382.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*k - 50, 5*k = -j + 10 - 0. Suppose -2*l - 4 = 0, 16*c = 11*c - 3*l + 29. Solve c*t - j = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112 by 3.\nAnswer: 112\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2 + -3 + 2*3*sqrt(153))**2 + 3 + 2.\nAnswer: -144*sqrt(17) + 9806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 780370 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19256446 * 4.\nAnswer: -0.77025784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 13095?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2961\/(-282)*(-7320)\/630.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1517 = -8*z + 219. What is the greatest common divisor of z and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -341*n - 77. Let h(p) = -9*p - 2. Let f(w) = 77*h(w) - 2*m(w). Let b(j) be the third derivative of j**4\/12 - 3*j**2. Give b(f(l)).\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -146*l**2. Let c(p) = 209*p**2 + 2200. Let q(m) = -15*m**2 - 160. Let v(b) = 4*c(b) + 55*q(b). Determine v(r(t)).\nAnswer: 234476*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 833364 and 19842?\nAnswer: 833364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbik when four letters picked without replacement from kbxiwbd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 92481255?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 974270043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (15 - 29 - -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 1\/4, 4, -0.4 in descending order.\nAnswer: 4, 1\/4, 1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 163386733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.003\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005112 to the power of 1\/2, to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 5*c**2 - 16*c + 1. Calculate the remainder when 250 is divided by x(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -3510, -3, -16 in descending order.\nAnswer: -3, -16, -36, -3510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.139 - 0.139001725. What is p rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -7, 29613 in descending order.\nAnswer: 29613, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 17*o - 137. Let f(l) = -17*l + 180. Let i(k) = -4*a(k) - 3*f(k). Let x(b) = 4*b - 2. What is 6*i(j) + 26*x(j)?\nAnswer: 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, h: 7, j: 3, c: 7}. Give prob of picking 1 z and 1 h.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 246*l**3 + 2*l**2 - 247*l**3 + 93*l**4 + 0*l**2 in the form g*l + k*l**4 + i*l**2 + y*l**3 + z and give k.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -12331130?\nAnswer: -12331132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -33. Let s(m) = -45*m - 58*m - 57*m. Let b be s(d). What is b rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676*l - 10272 + 1097 = -1063 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 430*n**2 - 427*n**2 + 5 - 3 in the form k*n**2 + p + q*n and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h + 2 = 0. What is the units digit of 9*h\/(1\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1979 - -2124. Calculate the greatest common divisor of d and 783.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**4 - 1179*q**3 - 3911*q - 82113729 with respect to q.\nAnswer: 8*q**3 - 3537*q**2 - 3911","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 43852 (b) -2\/3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 96e6be - -2?\nAnswer: 96e6c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.8 * 36848.\nAnswer: -397958.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 4:32 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 6 - -4) + -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 61792.49ml?\nAnswer: 61.79249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i + 108*i + 61*i + 13064 = -139*i for i.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 5*c**2 - 6*c - 1. Let w(f) be the first derivative of -f**4\/4 + 8*f**3\/3 + f**2\/2 - 2*f - 1. Let i be w(8). What is n(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1364, -2821, -4280, -5741, -7204, -8669?\n\"Answer: -u**2 - 1454*u + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + (3 - -10) + -22.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 18. Let t = -0.264 + -176.736. Let y = t - -176. Sort z, y, 2, -4 in ascending order.\nAnswer: z, -4, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2755\/(-38))\/((3\/((-63)\/10))\/((-2240)\/(-3920))).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -27385.\nAnswer: -16\/27385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*j + 48, 2*i = j + 2*j + 12. Suppose -2*a + 5*l - 3*l = -40, -4*l - 58 = -3*a. Calculate the remainder when a is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753717097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 26 - (0 + -1 - (145 - 142)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0*a + 2 - 56*a**2 + 2*a - 199*a**2 - 3*a to the form z + h*a + v*a**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 59*w**3 + 4*w**2 - 1460*w - 15. Let b(t) = 30*t**3 + 2*t**2 - 730*t - 6. Let r(v) = 5*b(v) - 2*q(v). Find the second derivative of r(i) wrt i.\nAnswer: 192*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o - 605 = -710 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20261*d*y**4 + 3716*d*y**2 - d + 3*y**3 - 8*y**2 - 4*y wrt y?\nAnswer: -486264*d*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 1:13 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 143 = -601. Let t = l + -73. What is the smallest common multiple of 16 and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78466783 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (165 - 174)*(-56)\/3 and 54.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5942724000 to the nearest 1000000.\nAnswer: 5943000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.099 minus -24535?\nAnswer: 24533.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(5) + -3 + sqrt(5) + sqrt(5))**2 - (-5 + sqrt(125))**2) + (5*(sqrt(5)*-1 + 5) + -4)**2.\nAnswer: -178*sqrt(5) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 + 5*h - 1. What is d(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.627 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70719279 * -5.\nAnswer: 353596395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2728 (base 9) to base 12.\nAnswer: 122b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3314628*m - 7982738.\nAnswer: -3314628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1550139252.\nAnswer: 2, 3, 31, 467, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-129 - -144 - (14 + -6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64232, -64222, -64212?\nAnswer: -64202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 31 = -3*s, -3*s - 3 = -3*x - 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.5, 1\/4, 23\/306?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -141.6, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -479508 * -0.3.\nAnswer: 143852.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4, -1\/42, 0.06, -2\/9, 1\/2, -140?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 345 - -124505535?\nAnswer: 124510324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = 2*q, -3 = -q - 92*t + 94*t. Sort 0, 17, 4, q, 38.\nAnswer: 0, q, 4, 17, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzalyllila. What is prob of sequence lzi?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -3775.830637725?\nAnswer: 3776.030637725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 16*h - 1. Calculate y(-11).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -1717, 3, -5, 0, -2 in increasing order.\nAnswer: -1717, -5, -4, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 + 58. Let q = j + 25. What is the common denominator of 5*q\/245 + (-605)\/(-112) and 81\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4 - 2, 4*s = -b + 15. Solve -150*n**2 + 78*n**2 - b*n + 75*n**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68967 and 120474.\nAnswer: 9517446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -20. What is the remainder when 41 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**4\/3 + 57*a**3 = 0?\nAnswer: -171, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 161081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 62a4 (base 11) in base 6?\nAnswer: 102342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - s + 2*s - s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5446 (base 10) to base 11\nAnswer: -4101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30906 (base 10) to base 15\nAnswer: -9256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 0*g - 225. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125 + -38. Let n = 117 - a. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-2) + ((2592\/39)\/(-3) - -10)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*o = -58*o - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 34 = -8. Let o(t) = -4*t + 21. Let a(l) = -14*l + 62. Let y(r) = 3*a(r) - 10*o(r). Let d be y(u). Solve -h - d - 1 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - 17 - (-7 - 3)\/(6 + -4). Let s(q) = -5*q**2 + 15*q - 22. Let c(y) = 2*y**2 - 5*y + 7. Let a(f) = 8*c(f) + 3*s(f). Give a(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/11 (b) -1 (c) 0 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(4\/5))\/(z**(-8)*z)*(z\/((z\/z**(-7))\/z))\/z*z*z*z*z*z**(-4))**(7\/5) assuming z is positive.\nAnswer: z**(7\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2711*y + 4089 = 240*y - 3717 - 2078 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 9*p - 12. Let g be w(5). Let m be 2\/g - 21\/(-12). Find the third derivative of 12*h + 14*h**6 + 2*h**2 + m*h**2 - 12*h wrt h.\nAnswer: 1680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 9. Suppose -5 = -2*h + h. Is z\/h + 64\/10 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + sqrt(19) + -2)*3.\nAnswer: -24 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -55 + 195. Let w = r + -55\/2. Which is bigger: 0.6 or w?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 6*m. Let q(s) = 3*s**2 - 17*s. Let v(z) = 8*f(z) + 3*q(z). What is the smallest common multiple of 28 and v(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 9:47 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/7)*z)\/z**(2\/63)*(z\/((z*z**(7\/5)*z)\/z)*z)**(-10) assuming z is positive.\nAnswer: z**(367\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6951, -7117, -7307, -7533, -7807?\n\"Answer: -2*p**3 - 152*p - 6797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, -12, -8, -4 in ascending order.\nAnswer: -12, -10, -8, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3657 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*r**2 + 132*r - r**5 + 126*r + 131*r + 2*r**5 - 35*r**4 - 392*r wrt r.\nAnswer: 60*r**2 - 840*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -285, -429, -573?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106618 (base 12) to base 13.\nAnswer: -914c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**3\/3 + g**2\/2 + g + 1. Let j be v(0). Is j > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63.9 - 64. Let l = 0 - 0.6. Let s = -2.6 - l. Sort 5\/2, s, d in increasing order.\nAnswer: s, d, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(192)\/sqrt(216) + (1*sqrt(224) - sqrt(224))\/sqrt(7)).\nAnswer: 8*sqrt(2)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - c + 5*c + c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2488*h - 57877 - 186976 = 142081 - 100814 for h.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 361.5675 - 0.0675. Let u = -360.000016 + t. Let z = 1.5 - u. Round z to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 4*o - 4. Let z = 43 - 45. Let q be l(z). Let a = 42 + q. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**22*v*v)\/v**(-22) assuming v is positive.\nAnswer: v**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4)*(7 - 19). Let n be 10 + 3\/(-2 + -1). Suppose -d - n = -z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(0*u**2 - 2*u**2 - u**2) + (3*u**2 - 3 + 3)*(4 - 1 - 5).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (-7 - (33 + (4 - 24)))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793350 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from xxxm.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44876\/11 or -4081?\nAnswer: -4081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232, -255, -328, -457, -648, -907, -1240?\nAnswer: -1653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.17994643.\nAnswer: -0.71978572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 301 = 5*k, -c + 158 = c - 4*k. Let f = c + 85. Suppose -f*b - 110 = -159*b. What is the highest common divisor of 88 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.22952 millilitres to litres.\nAnswer: 0.00922952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rri. Give prob of picking 1 i and 1 r.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {n: 1, m: 1, e: 2, p: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27\/(-78))\/((-2)\/296). Let i = t + -412\/39. Let b = i - 41. Put -2, 1, b in decreasing order.\nAnswer: 1, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(110))\/sqrt(10) + -2 + -1)**2 - ((sqrt(110) + -2*sqrt(110)*-1)\/(1*sqrt(40)))**2)*-6.\nAnswer: 57\/2 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -10811*k + 10490. Let n(x) = 21623*x - 20979. Let u(p) = 3*n(p) + 7*r(p). Differentiate u(m) wrt m.\nAnswer: -10808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 5026?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/197758 and -109\/916878.\nAnswer: 10085658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/34*11*952\/3080.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + -22 + (26 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -8.95\nAnswer: -134.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 105600 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/47583 and 37\/523413.\nAnswer: 523413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/56)\/(-2*16\/112)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -10*q**2 - 19*q - 32. What is h(-2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 311 + 3?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 55060346 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4.13696 - 95\nAnswer: -99.13696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (232 - 227)*(-24)\/(-5). Let d(n) be the second derivative of 0 - z*n - 1\/12*n**4 + 4\/3*n**3 + 2*n**2. What is d(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2*s - z = 739 - 725, 0 = -5*s - z - 54 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 4*a**2 - 131*a**3 - 4*a**2.\nAnswer: -131*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/1045 and -4\/7505.\nAnswer: 82555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22635.43ml to litres.\nAnswer: 22.63543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 + 66*w**2 + 140*w + 10. Give o(35).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*p - 0*p - 380, 3*i = -p - 228. Let q = i + 686\/9. Which is the nearest to q? (a) -4\/3 (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*v**4*z - 8*v**3*z**3 + 3*v**2 - 49*v*z**3 wrt v?\nAnswer: 168*v*z - 48*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**5\/100 - z**4\/30 + z**3\/30 + z**2\/5 + 7*z. Factor f(d).\nAnswer: -(d - 1)*(d + 1)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 19*i - 16. Suppose -2*g - 4*g = 48. Let z be x(g). Calculate the highest common factor of 25 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 154.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 154 = 144. Differentiate 12*a**3 - 43 - s*a**3 - 25 + 2*a with respect to a.\nAnswer: 21*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2373\/33)\/7)\/(246\/15785*35)*-6\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9*q**2 + 40928*q - 81862. What is f(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5126 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttt. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 - -922*(-3)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 383194 to the power of 1\/2, to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462.0169 decades to years.\nAnswer: 4620.169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2. Let r(j) = 11*j. Let x(k) = -6*k. Let v = 16 + -11. Let s(d) = v*x(d) + 3*r(d). Give s(t(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = i + 1, -2*i + 4 + 2 = 0. Let u = -2178 - -2177.8733. Let c = -0.0067 - u. Is w less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 18*m**2 + 8*m - 166. Calculate c(-9).\nAnswer: -2425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/((-8)\/(4 + -8)). Suppose -o = 4*t - 3, v + t + 7 = 0. Let d(i) = -i**3 - 7*i**2 - 8*i - 3. What is d(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55830.954 + -55903. Round q to 0 decimal places.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 11*o**3 - 242*o**2 + 3*o - 80. Calculate y(22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.35 - -1.35. What is the second biggest value in 4, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39474 and 1453572.\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 8:23 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from iirarriiaiiraiii?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 4*s + 3. Let d(l) = l**2 + l - 1. Let y(b) = b**2 + 32*b + b**2 - 40*b - 2 + 3. Let t be y(4). What is t*z(x) + 4*d(x)?\nAnswer: 5*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 990?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 50*a = -55*a + 26, -4*k + 4 = 2*a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**6\/360 - 10*r**3\/3 + 2*r**2. Let h(z) be the first derivative of u(z). Let w(i) = i + 3*i**2 - i. What is w(h(c))?\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 199.1 + -199. Which is greater: r or 56\/5?\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8157 * 1\nAnswer: -8157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = h + 11, 0*h = 2*h + 5*g - 22. Calculate the smallest common multiple of h and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m**2 - 8*m**2 - 35*m**2.\nAnswer: -55*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3\/15 - 1058*k**2\/3 - 3268144*k\/15 + 308842336\/15 = 0. Calculate k.\nAnswer: -1364, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (7 - 9)) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p + 2. Let w = -3548.2 + 3548.6. Which is the closest to p? (a) w (b) -14 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - ((89 - 95) + (-3 - 0) - -114).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -1384, -4757, -11318, -22129?\nAnswer: -38252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -6. Let z(n) = -n**2 - 3*n + 4. Give z(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 y when three letters picked without replacement from yqyyyyyq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7403687 divided by 6.\nAnswer: 7403687\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1017 in 2, 18\/19, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r - 33. Determine s(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 252*k**5 - 555159*k**4 + 155743170*k wrt k?\nAnswer: 5040*k**3 - 6661908*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*i - 730 = -0*k, 2*k - 292 = -5*i. Suppose k*p + 45 = 151*p. Is p > 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**6\/30 - 9*l**5\/25 + 3*l**4\/10 + 16*l**3\/15 - 298. Factor v(n).\nAnswer: n**2*(n - 8)*(n - 2)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, g: 3, o: 2, j: 4, c: 2, e: 2}. Give prob of sequence ockc.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -58*z + 44. Let x be v(-4). Let t = x + -257. Solve 5*g + t = -3*o, -4*g - 6 - 4 = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*f = 16, 3*f + 0 = 5*b - 12. Suppose -5*i = -0*l + b*l + 157, 3*l - 104 = 4*i. Is i at most -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**(2\/7))\/y)*y*(y*y*y**(-1\/5))\/y*y*y**(6\/7)\/y*y*y**(-1\/5))**15 assuming y is positive.\nAnswer: y**(438\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*l - 75 - 72, 5*w + 4*l - 351 = 0. Suppose 3*m - 15 = 0, -k + 0*k - 3*m + 14 = 0. What is the remainder when w is divided by 26 - (1\/1 - k)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18141\/13460 - 3\/1346. Let o(r) = r**2 + r + 15. Let z be o(0). Calculate the common denominator of (-6)\/z*3\/(48\/142) and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*n + 12, 5*n - n = 2*p - 24. Let r be (p\/5)\/((-22)\/10). Let g = -4 - -3. What is the second smallest value in 2, g, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15114337993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 + 0.49. Let g = 0.4 - d. Let v = -41 + 42. Sort g, 0, v in decreasing order.\nAnswer: v, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18374 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -18047*c**2 + 3*c. Let o(b) = -30*b. Determine o(z(m)).\nAnswer: 541410*m**2 - 90*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 12*o - 1387. Give g(-45).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 571*k + 2. Let l be u(2). Let t = -521 + l. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1748 and 33364.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*c = -2*c - 17, -2*p - 6 = -4*c. Let r(i) = -605*i**2 + 7*i + 10. Let s be r(p). Is 1\/4 - s\/40 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121452 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-3) + (-36)\/21 + 171\/(-114).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 323019, 646039, 969059, 1292079, 1615099, 1938119?\nAnswer: 2261139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/5406 and -67\/351?\nAnswer: 632502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 12*h - 1. Let p(o) = -o**2 - 15*o + 2. Let w(b) = -4*f(b) - 3*p(b). Give w(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2089291267?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2932?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - 8*l - 8. Let g be p(-6). Let n = -24 + 106. Let k = g + n. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 3:32 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 + 102*n**2 - 3634*n - 62410\/3.\nAnswer: -2*(n - 79)**2*(n + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 95\/4. Let z = -15993.7 - -15994. What is the nearest to 1 in 17, z, 3\/4, w?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.259 * 170\nAnswer: 44.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-2.82\nAnswer: -0.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3437 - 3430 + 10324 + 2*u - 3457. Let f(k) = -235*k**2 - 9. Let y(a) = -117*a**2 - 5. Let n(h) = -6*f(h) + 11*y(h). Calculate n(i(l)).\nAnswer: 492*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 801, 1209, 1617, 2025, 2433, 2841?\nAnswer: 3249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-1 - 2 - (-27 - -23)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*s - 283*s + 9947360 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-10)\/(-3)*(-397)\/(-3970))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -5. Let f be (2 - 1) + 4 + v. Suppose -5*d + 39 = 2*c, -f*c - 14 = -3*c + 3*d. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 - 2 + 2 + (-4 - 1 + 4)*(3*a**2 - a**2 - a**2) - 19*a**2 - 1020*a + 14*a**2 + 1066*a.\nAnswer: -4*a**2 + 46*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -168*n**5\/5 + 6317*n**4 + 257693*n**3\/10 - 2743*n**2\/5 - 7876*n\/5 + 768\/5 = 0.\nAnswer: -4, -2\/7, 1\/8, 1\/6, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14817\/10 + 1480. Which is smaller: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 112. Suppose -u + 0*u + d = 0. What is the remainder when u is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -203*s**2 + 89*s + 2*s**3 - 88*s - 49*s**2 to the form v*s**2 + a*s**3 + u + i*s and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2785?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g + 6*g**2 - 6 + 1 + 39*g**2 - 3*g**2. Is l(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1443, -1420, -1397, -1374, -1351, -1328?\nAnswer: -1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 5. Let l = 5 + 1. Let r be n(l). Let d = 30 + r. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.01, 34 in increasing order.\nAnswer: 0.01, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**4\/4 - l**3\/3 - l**2\/2 + 6*l + 9. List the prime factors of c(-4).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, z: 1, f: 1, w: 3}. Give prob of picking 1 z and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 0*t**2 - 15\/4*t**4 + 45 + 0*t + 113\/3*t**3. What is the third derivative of f(a) wrt a?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/60)\/(-5*(-55)\/1800)\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 + -23 - (3 - 0)) + (-332 - -346)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 11:13 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 + 18486*a**3 + 92367*a**2 + 73884*a.\nAnswer: 3*a*(a + 1)*(a + 4)*(a + 6157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -15, 3*t + 10*g = 12*g + 21. Suppose 0 = -5*m + 9 + 11. Suppose 18 - 10 = -2*h. Sort h, m, 2, t in descending order.\nAnswer: t, m, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 59*q - 298. Give p(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 22*q - 41. Suppose 0 = -14*d - 141 - 139. Let f be c(d). Sort f, -3, -4 in descending order.\nAnswer: f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148\/((441\/612)\/49)?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**3 - 498*p**2 = 0.\nAnswer: 0, 498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74960175*h*m**4 - 15545*h*m - 1599*m**2 wrt m.\nAnswer: -1799044200*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 140925?\nAnswer: 4650525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1116, -12669, -35648, -67821, -109188?\nAnswer: -159749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 361091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -381*a + 221. Let z(y) = 379*y - 222. Let i(l) = 3*m(l) + 2*z(l). Differentiate i(u) with respect to u.\nAnswer: -385","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c1 (base 14) to base 12.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 69*x**2 + 394*x - 1817. What is f(74)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2123778 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**3\/3 + 15*x**2\/2 + 15*x - 83. What is o(16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -3. Let p(b) be the third derivative of 7*b**6\/12 - b**5\/30 + b**4\/12 - b**3\/6 + 5*b**2. Is p(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2997814712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126017, -126023, -126029?\nAnswer: -126035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g + 5 - 14 = -14*g + 30*g + p, -7*g + 7 = 3*p + 34 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55503*s**3 + 37229*s**2 wrt s.\nAnswer: -333018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5119 to 2 decimal places.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -33, 30038.8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -426*c - 7538. What is p(-32)?\nAnswer: 6094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.93859 to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 5)*(-78)\/975 + (-84)\/800?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 - (40 + -35).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-2 + -10) - (5 + -15)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4367*f + 280928 = -147038 for f.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 + 71 - 28) + -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134819, 134779, 134727, 134657, 134563, 134439?\nAnswer: 134279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 6*k - 2*k)*(-580 - 1035 + 594 - 707).\nAnswer: 12096*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 220038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 - 435?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/3)\/((-1)\/36). Suppose 345*d - 355*d = -680. Let p = f + d. What is the greatest common divisor of p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 27. Solve -10 - 5 = -t*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2301 + -543566?\nAnswer: -546200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = 4*o + 5*r + 185, -5*o - 40*r - 1794 + 314 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21340675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -312. Let s be (-4)\/(-2 + 1)*27\/d. Which is the nearest to s? (a) 1\/7 (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from wwnwwwnw?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 19 + 49 = 2*q, -10 = 2*m - 4*q. Suppose -m*x = -659 - 2941. Let f = 87 + x. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = -d + 50. Solve d*q + 1 = -14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {r: 4, h: 4, t: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 76590\/(-171) + (1 - 3)\/(-2). Let v = z - -447. What is the third biggest value in 4, 2\/7, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 37258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 98002.3ns?\nAnswer: 0.0000980023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence riy when three letters picked without replacement from {x: 2, r: 5, y: 4, c: 2, i: 1}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**6\/120 - x**5\/12 + x**4\/24 + 2*x**3\/3 + 5*x**2. Let p be j(-5). Is p at most as big as -3\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 1\/8*b**4 + 0 - 7\/6*b**3 + 0*b + 3*b**2. Is l(8) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3 - z**2 - 3 + 4*z**2 - 6*z. Suppose 6*h - 5 = 5*h. Let v(i) = 2*i**2 - 5*i - 5. Let y(b) = h*d(b) - 6*v(b). Let m(g) = -3*g**2. Calculate y(m(n)).\nAnswer: 27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 273 + -271. Suppose 4*w - 3*t = -2*t + 16320004, -3*w - g*t = -12239992. What is w rounded to the nearest 100000?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 66*c + 1. Let b be l(1). Let m = 82 - b. Solve m = s - 3*i, 0 = -4*s - i - 0*i + 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2328 greater than or equal to -551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 11, 3 in decreasing order.\nAnswer: 12, 11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686178135?\nAnswer: 3, 5, 29, 37, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 6:39 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/5 (b) -4786 (c) 146 (d) 4 (e) -0.06 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2684026 = 233*b + 2675405 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, 2.9, -13\/45?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50 + -70b065?\nAnswer: -70b0b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 c, and 2 o when four letters picked without replacement from oeooooolcoooologotog?\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*a, 43*u = 3*a + 46*u + 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18070093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -34, -4\/5, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 10*b + 84. Let o(m) = m**2 + 3*m + 1. What are the prime factors of o(b)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 6*h + 547. What is t(24)?\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 7) + (-13 - (-83 - (0 + -3)))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 1249 = 2481. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -4 - 9 - -9) + -15 + -2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10463*k + 10467*k + 72 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7910974467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*n**2*u**4 + 3303*n**2*u**2 - u**5 - 37*u**4 wrt u.\nAnswer: -528*n**2*u - 60*u**2 - 888*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 57*g + 292. Give j(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -35676344 divided by 4459543?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126\/6*6\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 28*a - 1. Let d(n) = -16*n + 1. Let z(k) = -9*d(k) - 4*w(k). What is the first derivative of z(g) wrt g?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3 + 3732*z**2 + 464442*z + 460712 = 0. Calculate z.\nAnswer: -1732, -133, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmmwxwmmllxxxxmmw. Give prob of picking 3 w.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1737*u = -1729*u + 2*z - 10, 0 = 3*u + 2*z - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 1002134202?\nAnswer: -1002134203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-7)\/((-42)\/54). Let u be 20\/80*(-1 - v). Suppose 9 = 5*x - 3*z - 25, -z = 3. Solve -u = -l - x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 33*p - 36. Let m be f(32). What is the nearest to -3 in -1\/9, -0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019694706493 rounded to 7 dps?\nAnswer: 0.0196947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*r - 2*f = -161, r - 163 = -3*f. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 366148 and 829.\nAnswer: 303536692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 253 = 3*h, 8*s = 9*s + h - 263. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -142a + 112?\nAnswer: -1318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.247 - 1.164. Round d to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*w + 6072 = -2*w. What is the highest common divisor of w and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/13)\/x**5)\/(x\/(x**(-1\/4)\/x)*x\/(x**(1\/6)\/x)))\/((x*x**0)**(-2\/39))**(2\/43) assuming x is positive.\nAnswer: x**(-19961\/2236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -3*n**8\/28 - 23*n**4\/12 - 30*n. Find the third derivative of r(s) wrt s.\nAnswer: -720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1130 - -1497.5. Let h = -368 + s. Sort 0.1, 50, h in descending order.\nAnswer: 50, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + o - 2. Let v = 37297 - 37465. Is o greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 2:04 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 123758052 to the power of 1\/2, to the nearest integer?\nAnswer: 11125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2 = -3*v + 19, 4 = 4*m + 4*v. Let l be (-6)\/(-12) - m*(-21)\/(-4). Suppose l = -5*d + 6. Which is bigger: d or -7\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v + 45 = 0. Let a = v - -12. Suppose 2*y = 2*s + 14 - 34, -5*y - 4*s - 5 = 0. Sort a, -1, y in decreasing order.\nAnswer: a, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760*s - 26*s + 21738 = 2122*s - 7342 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*u + 92*u + 22 = 5*d + 15*u, 0 = -4*d + 6*u - 0*u + 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**2\/19 + 9150*a\/19 + 3436952\/19 = 0.\nAnswer: -349, 4924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 12*y + 5. Let s be q(-12). Suppose 3*m + 5*w - 23 = -s, 0 = w. Solve n = -n - m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8851576.1 to the nearest ten thousand.\nAnswer: 8850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.781 + 0.081. Let u = f - -5.8. Let j = -7.5 - u. Round j to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 40*t**3 + 15 + 9.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**7\/105 + m**4\/8 - 6*m**2. What is the second derivative of i(o) wrt o?\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g**4*g*g)\/g*g))\/g**(-5)*g**(1\/13)*g**(-3\/8) assuming g is positive.\nAnswer: g**(-135\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -3*d + 54675, -2*g = -4*g - 2*d + 15618. Is 84 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/25)\/(4\/(-185)). Let d = 54 - l. Let n = 1\/467 - 472\/2335. Do d and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -4\/23 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*s - 10. Suppose s*a = 100 + 32. Calculate the highest common divisor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -689113?\nAnswer: -689110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-10) + 5 - 2\/4. Suppose o*c = 5*f + 13, 3*c + 2*c - 3*f - 27 = 0. Find the second derivative of -j**2 - 8*j - c*j + 13*j**2 - 5*j wrt j.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 65\/3 of a year?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 8*o**2 - 18*o - 4. Let b be v(-6). Let t be (-2 - (-10)\/3)*3. Calculate the highest common divisor of b and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47298, -5, 1, -1, -15 in ascending order.\nAnswer: -15, -5, -1, 1, 47298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 5:59 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 1 = s, 51*g - 5 = 54*g + 5*s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - -22?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*r = 208, -3*s = -2*s - 2*r - 56. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 5*x**2 - 6*x + 5. Suppose -272 - 13 = -15*r. Let m be 31\/3 - (-4)\/6. Suppose 0 = -m*j + r*j - 48. Calculate l(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -598422.\nAnswer: -1196844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30544\/3 + -10181. What is the closest to c in 2, 14\/5, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75803 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-12))\/(5\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-27)\/(-18))\/(1\/(-8)*-3). Solve -6 = 2*x + h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423 and 59868.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*b = -29, 2*v + 2*b - 10 - 8 = 0. Suppose p - v + 3 = 0. What is the remainder when 31 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -22*c. Let v(s) = 818457*s**2. What is w(v(f))?\nAnswer: -18006054*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 353073.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 5, 95?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1699589 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((460\/(-6325))\/(4\/10 + 0)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2, 1 in decreasing order.\nAnswer: 2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28179779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4891 + 4374.9. Round r to the nearest integer.\nAnswer: -516","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138067 is divided by 2467.\nAnswer: 2382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3410, -7, -4, 3, -1, 5 in increasing order.\nAnswer: -3410, -7, -4, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19503 = 21*t + 69. Sort -2, t, 3 in descending order.\nAnswer: 3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -65, -48, -3, 76, 195, 360?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74*q**3*v**4 - 3*q**3*v + 2*q**2*v**3 + 7*v wrt v.\nAnswer: -888*q**3*v**2 + 12*q**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q + 192 - 5*q + 386 + 148 - 3*q.\nAnswer: -2*q + 726","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -10*j + 6. Let n(q) = 110*q - 65. Calculate -6*n(c) - 65*o(c).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1757321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000147482 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -431 + 451. Suppose -3*l + 15 + 5 = -2*c, -g = -l - 2*c. Solve 3*n + l = 5*z - 2*n, -15 = 3*n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 172 - 17 = 0. Let r be (2 - (i + 1)) + 0. Suppose -5*s + r = -s. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 1\/3, -19282?\nAnswer: -19282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 9*k**2 + k + 8. Let g be n(-9). Let f(c) = -7058*c**3 + 3*c**2 + c - 3. Is f(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from eeqeeeeeeeqeeqeeqeq?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -110, -183, -254, -311?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*h**2 + 1830490*h + 93330191?\nAnswer: -10*h + 1830490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/42 and -65\/54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14905 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 m = 5 + -5.1. Let g = 25742 + -25746. Which is the nearest to -1\/2? (a) m (b) g (c) 5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4075 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -28426381?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 20. Let a(y) = 32*y - 11. Let u(w) = -159*w + 54. Let z(p) = 21*a(p) + 4*u(p). Is z(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a = -26 + 146. Suppose 2*o + 4*u + u - 465 = 0, 1203 = a*o - u. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 261, 436, 607, 774, 937, 1096?\n\"Answer: -2*s**2 + 181*s + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-5))\/(6\/20). Suppose 78 = -3*q + h*q. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 18*b**2 - 88*b + 35. Calculate the least common multiple of 56 and j(22).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m + 50 = 0. Let s be m\/(-10) - (1 + -1). Suppose 4*x - 75 = s. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1121486362771 - -0.014.\nAnswer: 1121486362771.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -56.6 at most as big as -93877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 1. Let z(f) = -f**2 + 9*f + 2. Let m(b) = 4*r(b) - z(b). Determine m(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j + 136 = 16*j - 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 28759000 to the nearest 100000.\nAnswer: 28800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.407108 - 28?\nAnswer: -27.592892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -890, -0.1, 2, -4 in ascending order.\nAnswer: -890, -4, -0.1, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 + 3*x**4 - x**4)*(-1 + 2 - 3)*(-3 + 0 + 2)*(-19*x + 21*x - 48*x).\nAnswer: -92*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/20)*z*z*z**(20\/3)\/z)\/(z**3*z)**(16\/5))**5 assuming z is positive.\nAnswer: z**(-311\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**5\/20 - f**4\/3 - f**3 + 7*f**2\/2 - 1211*f. Let u be -1 + 4*4 - 2. Let z = 18 - u. Determine g(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 - 4*v**2 + 4*v - 7. Let g(r) = -2*r**3 + 2*r**2 - 2*r + 4. Let i(q) = 5*g(q) + 3*l(q). Determine i(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5) + (-32)\/(-120). Is -0.7 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -28, 208, -15 in descending order.\nAnswer: 208, 1, 0, -15, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3041 is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -11 + (-5 + 2 - -8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*f - 82, 4*f + 15 = -2*t - 45. Which is greater: -7 or t?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06600332 rounded to 3 dps?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 23*b - 745. Let p be v(34). Solve -37 + p = 9*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.12 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14a3 - 704?\nAnswer: -20a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of v**4*w**2 + 1829*v*w**3 - w**3 - w**2 - 555 wrt v?\nAnswer: 4*v**3*w**2 + 1829*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 5. Let t(r) be the first derivative of r + 3. Give g(k) - 2*t(k).\nAnswer: -k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 4:17 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 200*p**3\/7 - 160*p**2\/7 - 38*p\/7 - 2\/7 = 0.\nAnswer: -1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -172 - 215?\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*5*120\/(-360)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470158103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, k: 10}. Give prob of picking 2 k.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2433 and -49\/76234?\nAnswer: 228702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -780 - 831 = -162*k - 477 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f*g**2*v + 6*f*g**2 - 872*f*g*v + 4*g**2*v + 22*g**2 - 300*g + 2*v with respect to f.\nAnswer: 4*g**2*v + 6*g**2 - 872*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 33*d - 686. Let p be w(21). Is -12 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23735770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-20)*0 + 0. Suppose -5*s + 4*j + 254 = 0, 5*j + 105 = 2*s - c*s. Calculate the remainder when s is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -51. Suppose -c + 0*p + 5*p + 27 = 0, -p - t = -c. Suppose 3*m = -3 + c. Is m > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in months?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(48\/3118) - 3\/(-18). Suppose -q - 199 = -3*p - 0*q, 0 = 4*p + 4*q - i. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 3642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 35*d + 155. Let f be r(5). Let a be (7 - (-2 + -1))\/2. Solve -8 = -2*c, -c - 1 = -a*y + f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65773 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145532 (base 8) to base 5.\nAnswer: 3131213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13809740 is divided by 383603?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37\/80 - -1\/16. Let y = -5.654 - 0.046. Let l = -0.3 + y. Which is bigger: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 7*o**2 + 1 - 7*o**2 - 4*o**2 to p*o + g + l*o**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2779 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 173.169 - 173. Let m = q + 3.831. What is the second smallest value in 1\/4, -0.1, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 5, 4, -3\/4, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 f, and 1 y when three letters picked without replacement from {c: 1, j: 5, f: 2, y: 2, l: 5, p: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2 = 1. Let g be (-7 + o)*25\/(-50). Let j(f) = f**3 - 2*f**2 + f. What are the prime factors of j(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - f**2 + 79. Let u be (-9)\/(-4) - (-3)\/(-12). Suppose -3*a - 4*y = -68, u*y + 0 = 4. What is the remainder when c(0) is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972627 is divided by 11153.\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.83 + 0.53. Let n = -7 + 7.3. Let m = 4 + 1. What is the third biggest value in m, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -183*n**2 - 5*n + 1714 wrt n.\nAnswer: -366*n - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (2 - 1) + -1. Suppose 2*u + 6 = l, 5*u = 3*g - 0*u - 24. Suppose -316 = -g*k - k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/((-67)\/8375*15).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*j**2 + 13*j**2 + 9 + j**2 - j**2 - 6*j + j**2 to the form v*j + k + r*j**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 24 = -30 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 4:33 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1563 - -1681.1. Let a = 318 - 208. Let x = b - a. Round x to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 485228188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 5*g = 73, 35 = 47*b - 52*b + 3*g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v - 20*v + 19*v + 8. Determine c(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -753284*s**2 + 10*s. Let h(w) = w. Give h(n(u)).\nAnswer: -753284*u**2 + 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1047 + 1046. Which is the closest to x? (a) -15 (b) -1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.308815.\nAnswer: 0.1544075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + i + 1. Let j(d) = -12*d**3 + 32*d**2 - 20*d - 16. Let r(p) = j(p) + 16*w(p). Find b, given that r(b) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108467313 rounded to the nearest 10000?\nAnswer: -108470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 14*d**2 - 56*d - 55*d + 38*d + 85*d**2.\nAnswer: 71*d**2 - 73*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15607 plus 15563331906?\nAnswer: 15563316299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Suppose -74 + 17 = -o*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2031 + -2004. Solve g*d - 15 = -150 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g - 7. Calculate the remainder when v(15) is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 5*q**2 - 7*q - 6. Let h be u(-4). Suppose 6*r - 3*r - 72 = 0. What is the greatest common divisor of h and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaqqqaqqq. Give prob of picking 2 a.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - v - 4. Suppose 11 - 1 = -v*g, -3*a + g + 89 = 0. What is the units digit of a + -4 + 1*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6846 divided by 326\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3833, -3834, -3835?\n\"Answer: -q - 3832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 0*s - 3411 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2 = -14. Suppose g*l + j - 87 = -2*j, -5*j = -4*l + 79. Solve x - 2 - 4 = -3*q, l = -5*x + 2*q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 - 5*u**2 - 3*u - 2. Let c be o(4). Let y = -13607 + 13624. What is the highest common divisor of c and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*h + 93*u - 94*u + 126, 2 + 2 - 4 = 5*u for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-140)*30)\/(2\/(-48)*(-204)\/357).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 134 and -4.84.\nAnswer: 129.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143 - -220. What is the lowest common multiple of b and 42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 x, and 1 o when three letters picked without replacement from {o: 1, v: 1, c: 6, x: 5, y: 1, n: 2}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/19)\/(z*z\/(z\/(z*(z\/z**6)\/z*z))))\/(z**(-1)*z)**43)\/((z\/(z**(-3\/5)*z)*z\/z**(-2\/7))\/((z*z**6)\/(((z\/(z*z**(-3)))\/z)\/z))) assuming z is positive.\nAnswer: z**(4801\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 24 = 4*s. Suppose 4*l - 15 = -i, 5*i - 2*l = -5*l + s. Solve -7 = -k + 4*o, 9 = -k - i*o - o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -18. Solve 5*d - 23 = -b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-6 - -6) + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 805939, 805886, 805833, 805780, 805727, 805674?\n\"Answer: -53*a + 805992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/((d*d*d*d**(-1))\/d)*d)**2 assuming d is positive.\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2760 and 97410.\nAnswer: 8961720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/4 + 3*v**2\/2 - 3*v - 6.\nAnswer: 3*(v - 2)*(v + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 8, k - w = -14 - 37. Let n(d) = -2*d**2 - 11*d - 7. Suppose -15*c + 9*c - 48 = 0. Let u be n(c). Is k bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssw when three letters picked without replacement from sssffws?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 4 + 12. Suppose 3*m - 3 + 1 = -t*g, -2*m - 2*g = 0. What are the prime factors of m\/8 + 945\/28?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 208 = 211*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124942 and 716?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*t + 2525 = 0, -2*n + t + 3877 - 1362 = 0. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 14. Suppose -4*g + 5*r + 2 = 0, -r + a = 3*g - 5*r. Solve 0*d = f + g*d - 6, 4*d = -f + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 4:34 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (0 - -3) + 5. Let b be ((112\/(-40))\/q)\/((-2)\/110). What is the greatest common divisor of b and 814?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6240 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2375 and 6891300?\nAnswer: 34456500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/3)\/((-2)\/6). Suppose -2*n = -3*q + t, 1 = -2*q + 2*n + 3. Suppose 0 = q*g - 2 - 8, 0 = 5*r - g + 12. Let a(w) = w. Determine a(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7*h - 6. Let n(m) = 15*m - 13. Let s(w) = 13*g(w) - 6*n(w). Give s(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 66*k**2 - 144*k**2 - 10*k + 69*k**2 - 6. Let d be (-10)\/3*24\/10. List the prime factors of v(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 9211 = -5*m - 3*o, -2*m + 3690 = -4*o. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -234*z + 234*z + 4*b, -7*z + 30 = -2*b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9328 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z = 7*z - 99981. Suppose -213 = -6*c + z. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2000*o - 9160. Let z(a) = -4011*a - 18331. Let t(m) = -7*k(m) + 4*z(m). Differentiate t(d) wrt d.\nAnswer: -2044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*c - 6966*c**2 - 84*c.\nAnswer: -6966*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30\/(-36))\/(-5) + (-2662)\/(-12). Let u = k + 222. Does 37 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 20 = -2*n, 0*n + 5*c + 22 = -2*n. Let f be ((-7251)\/n)\/(2\/172). Suppose 4*w = -f - 96069. Round w to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -711279\nAnswer: 2\/237093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1. Let l(y) = -y**2 - 6*y - 4. Let w(k) = -6*h(k) + l(k). Let b be w(-6). Let s(c) = c + 8. Let j be s(-8). Solve j = -b*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**3 - 5012985*d**2 + 30077730*d = 0.\nAnswer: 0, 6, 1002591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2))**(9\/8)\/((w\/(w**(3\/5)\/w))\/w*w)**2 assuming w is positive.\nAnswer: w**(-269\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -243 - 84 + 14 + 35*d - 229 + (-d + d + d)*(3 + 0 - 2).\nAnswer: 36*d - 542","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*k**2 + 0 + 2\/3*k.\nAnswer: -2*k*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/4 - 457097*b\/4 - 457099\/2 = 0.\nAnswer: -2, 457099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 259 + -172. List the prime factors of n.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7 = 3*x + 5, -5*h - 3*x + 6 = 0. Let i be 1\/h - (-62)\/(-6). Let j be 72\/40 - 2\/i. Solve j*w = 7 - 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 773, 1548, 2323, 3098, 3873?\n\"Answer: 775*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -31 - (195 - 166).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3585 by 3.\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5\/3)\/((q*(q\/(q*q**(1\/12)))\/q)\/q)*((q\/(q*q*q*q**(-1\/22))*q)\/q)\/q**(2\/31) assuming q is positive.\nAnswer: q**(-10649\/4092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**3*z + 6124*p**3 + p**2*z + 3*p*z - 60*z + 5 wrt p.\nAnswer: 6*z + 36744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (115\/(-23))\/((-5)\/((-10)\/(-2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -5 + 9 + -12 - (1 - 3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 11910?\nAnswer: 23820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(144\/27))\/(39\/208)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1706.438 + 19.962. Let m = o + -1577. Round m to 0 decimal places.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7825, -2138, -3 in ascending order.\nAnswer: -2138, -3, 7825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 11040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.83 + -65.17. What is the third biggest value in 0.5, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 289517 and 712.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*z + 15, -2*z + 10 = -5*n - 0. Suppose n = -5*k + 7*k + 128. Let j = 89 + k. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**(-2\/11)))\/l*l\/(l**1*l)*(l**(-10\/9))**(-33) assuming l is positive.\nAnswer: l**(1183\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -35, 2\/7 in decreasing order.\nAnswer: 2\/7, -9, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4309886329 to the nearest integer?\nAnswer: 65650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -91\/5. Let s = -3.7779 + 6.7779. Which is the biggest value? (a) s (b) l (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -13*z - 6. Let u be h(-3). Suppose 2*b + 2*d = 5*b - 39, -4*d - u = -3*b. Is (1 + 376\/6)\/(5\/b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110222 - 0?\nAnswer: 110222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/15)\/i**1 assuming i is positive.\nAnswer: i**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -37031.6 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.709036 decades to years.\nAnswer: 67.09036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccdoccccccdcdccocc. Give prob of picking 2 o.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 93*l**2 - 64*l + 282. Is g(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4*j + 35 + 45, -4*t + 3*j + 80 = 0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 6. Suppose v = -3*z - 4*k + 104, -3*k + 68 = 2*z - 0*z. Calculate the highest common divisor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -2\/9, -202, -2\/5?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -790\/231 greater than or equal to -310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -81. Suppose 3*v - 2*v - 27 = -2*o, -2*o + 2*v + 24 = 0. What is the remainder when x is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 2320*c**2 + 737000*c + 36300000.\nAnswer: 2*(c + 60)*(c + 550)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1133 + -13?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 - 69. Suppose -230 = -4*m + 5*c, m + 3*m + 2*c - 216 = 0. Let d(x) = -24*x - 6 - 2*x**2 - 26*x + m*x. What is d(v)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + 5.3. Let r = 5.4 - d. Which is the closest to r? (a) 2 (b) -3\/2 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 11, 1\/11, -2, 0.3.\nAnswer: -2, -1\/2, 1\/11, 0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - 4 - 8) + (62 - 84)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 + 3 + 7*a - 2346*a + 1858*a**2 - 497*a**2 wrt a.\nAnswer: 2722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*c = 169*c - 892548. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**3 - 5*a**2 - 11*a + 5. Calculate c(-4).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from {q: 4, s: 2, x: 3, w: 2, o: 2}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 10440314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 4*t**2 + 10 + 3 + 4*t**3. Let q(i) = -i**3 + i**2 - 3. Let j(x) = 6*b(x) + 26*q(x). What is the third derivative of j(l) wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-7))\/2*(-124)\/(-73656)*99\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-3))\/(3\/2). Suppose 0 = -3*w - 0*o + 2*o + 80, -5*w - 4*o + 170 = 0. Suppose 7*i - s*i = w. Solve 0 = 2*g + g - i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369644 a multiple of 341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-19))**(-47) assuming h is positive.\nAnswer: h**893","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -454997.3 minus 152.62?\nAnswer: -455149.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.106159.\nAnswer: -0.318477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((-2299)\/3800) + 14 + 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 3*j. Let b(q) = -q + 6. Let n be b(0). Suppose -n*c + 0 = -12. Solve j = -c*v - 3*v - 5*i, 0 = -2*v + 5*i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qskqqqqkqq. Give prob of picking 3 q and 1 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 519*4\/(-3360) + (-1)\/(-4). Let a = -11\/28 - y. What is the common denominator of -93\/22 and a?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -256 (base 7) to base 4\nAnswer: -2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 2. Let l(a) be the third derivative of -a**5\/6 - 7*a**3\/6 + 3*a**2. Let c(w) = 2*l(w) + 7*v(w). Let h be c(-5). Solve k - 6*k = h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7 + 21*l**2 + 13*l**2 - l - 10*l**2. List the prime factors of u(-3).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = -0. Let u be 1*(-1)\/((-2)\/10). Solve -s = u*a - c + 5, -s - 4*a = 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 9 = -g, g + g = -3*i - 11. Let t = i - -1. Is 2\/3 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(972) + sqrt(12)))**2 - (2 + (sqrt(3) - sqrt(27)))**2.\nAnswer: 8*sqrt(3) + 1067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1086 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 8*r + 7*r + 16, j - 18 = -3*r. Let x be (j\/(-20)*-5)\/(6 + -2). What is the closest to -0.03 in x, 1\/3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 6*v + 12 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/57533300 and -87\/57533300.\nAnswer: 57533300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12854 is divided by 51.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4}. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z = -1. Let h = z - -8. Suppose m = 3*f - 14, 16 = 4*f - 2*m - 2*m. Calculate the lowest common multiple of h and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11553007.\nAnswer: 19, 113, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(6\/(-20))*(108\/(-36))\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l\/(l**(-8\/7)*l))\/l)\/l*l)\/(l*l*l**33))**(-1\/3) assuming l is positive.\nAnswer: l**(79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3648 and 9652722?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*4\/((-40)\/6). Suppose -a*u + 25 = 2*u. Suppose u*l - 8 = l. Solve 2*f - 5*y + 4 + 2 = 0, -l*y + 6 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -0.48447?\nAnswer: 2.48447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2212195 - 0.82?\nAnswer: -2212195.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n. Let k(j) be the first derivative of -45 + 0*j**2 + 0*j - 22\/3*j**3. What is k(x(w))?\nAnswer: -352*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -65. Let j be (-567)\/(-1848) - (-4)\/(-32). Which is the second biggest value? (a) 1 (b) n (c) -5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -2 (c) 0.3 (d) -4\/26969\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33604629 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23)\/3 - (-100)\/(-75). Let w(h) = h**2 + h - 3. Let a(s) = -5*s**2 - 3*s + 13. Determine k*w(x) - 2*a(x).\nAnswer: x**2 - 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a - 8*a + 195 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -1\/3, 2\/5, -8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.8599 rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/13)\/(525\/(-91) - -6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 - -2 - -8 - 0. Suppose -12 = 3*p, -f*p + 316 = g + 3*p. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 805 and 127965905.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18878 + 2*k**3 + 2*k**2 - 29529 - 3*k**2 - 22392.\nAnswer: 2*k**3 - k**2 - 70799","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/12, 2, 5, 0?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 575*b - 1 - 6 + 196*b + 172*b + 208*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54560?\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -26*i**5\/15 - i**4\/24 - 35*i**3\/3 + 7*i**2. Find the second derivative of p(x) wrt x.\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 7. Let r be m(-4). Let c(q) = q**3 + 2*q + 0 - q - 1. Give c(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 184?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -933.0461 - -937.95. Round s to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95)*2)\/(sqrt(180) + -2*sqrt(180)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5198122123 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1328294 = -2*r, 0 = 2*b - 20*r + 19*r + 2656597. What is b rounded to the nearest ten thousand?\nAnswer: -1330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 781\/5 + 2*6\/(-60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(38))\/(6*(sqrt(8)\/sqrt(4) - sqrt(2)) + sqrt(2)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229 is divided by 406.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 172. Suppose -q - 36 = -s. Suppose i = -4*k + 121, 3*k - 4*i = -0*i + q. Is k a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 682 = 685. Is o smaller than -3\/1031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 y, 1 a, and 1 t when four letters picked without replacement from {a: 4, y: 2, s: 1, t: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*10\/275)\/(12\/(-2)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-182)\/6 + (-1)\/(-3). Let p be -4 - 3\/h*38. Suppose 2*o + 7 = -0*d + 5*d, -1 = -4*o + 5*d. What is the closest to 0 in -0.1, p, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 160*c*v**3 - c*v + v**5 + 4*v - 3 wrt v.\nAnswer: 960*c*v + 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2207?\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12931663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 1147, 3974, 9503, 18640, 32291, 51362?\nAnswer: 76759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*p - 0*u - 82, -2*u + 26 = 2*p. What is the smallest common multiple of p and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377 = -108*c + 6211 for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**4\/42 + 4*v**3\/21 + 3*v**2\/7 + 6*v + 2. Solve a(k) = 0 for k.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 5*v + 41, -14*v - 5*q = -11*v + 35 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245349 - 12849 = 20*r - 364700. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48748824149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -16872 and -16874 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/((-160)\/(-4487432))*(-3 + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -1) + (25 - (-4 + 7 - -11))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 7*v - 3*g = -21, -2*v = 5*g - 17. Let w(u) = u**3 - 2*u**2 - 22*u - 9. Let d be w(v). Solve 5*t - 2*t = 0, -2*t = -d*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 137.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*c = -6, -2*c - 10 = -3*u + 5. What is the remainder when 20 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - y**3 + 1556*y**4 - 1636*y**4 + 2*y**3 to the form v + b*y**2 + i*y + m*y**3 + p*y**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.063, -6, 5 in ascending order.\nAnswer: -6, 0.063, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/7 + 242*u**3\/7 - 7198*u**2\/7 - 7442*u\/7.\nAnswer: -2*u*(u - 61)**2*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-10)\/(-16)*-90*42\/1050?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, r: 1, p: 5}. What is prob of sequence pr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*q = i, 2*i = 2*q. Let r = -2.9 - -3. Which is the closest to i? (a) -3\/5 (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1707\/70 + 156\/7. What is the common denominator of -31\/143 and o?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/146002896 and 53\/9125181.\nAnswer: 146002896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -13\/61314 and -0.7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5675 by 1135.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12160*p**3 + 29*p**2 - 5394*p + 30.\nAnswer: 72960*p + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129 - 0.1.\nAnswer: 128.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 237190.8mg in nanograms?\nAnswer: 237190800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 10*o**2 + 10*o - 1. Give p(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -52*z**5\/5 + z**3\/6 + 19*z**2 + 14*z + 12. Find the first derivative of j(u) wrt u.\nAnswer: -624*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 10 = -23. Let a be (-8 + (4 - -4))\/b. Let h be (-1)\/(-1*(0 - -1)). Solve 2*g + h + 1 = a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465205485.\nAnswer: 3, 5, 229, 135431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 51703 divided by -2\nAnswer: -51703\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*j - 359 + 359)*(7*j**2 - 2*j**2 + 22*j**2).\nAnswer: 2349*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 2*d**2 + 7*d + 9. Let m be k(-2). Let t be (4\/m)\/(40\/(-100)). Sort t, 1\/9, 0.03 in decreasing order.\nAnswer: t, 1\/9, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 402 - 254. Let g = l + -153. Let h(s) = s**2 + 1. Let b(u) = -u**3 + 7*u**2 + 7. Give g*b(f) + 35*h(f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c - 4. Let f(y) = y**2 - y - 1. Let l(n) = -4*f(n) + o(n). Let q(p) = -4*p**2. Calculate q(l(t)).\nAnswer: -64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 246.8 - 247. Which is the biggest value? (a) l (b) 2\/5 (c) -21 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3143)\/(-5) - (-16)\/40 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1161 and 3588327?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -15, 3, 37, 87, 153?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 319, 1354, 3077, 5488, 8587, 12374?\n\"Answer: 344*y**2 + 3*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15619, 39, 2 in increasing order.\nAnswer: 2, 4, 39, 15619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*j + 3*m, -j + 3*m = 4*m - 1. Let u be (30\/(-15))\/(j\/(-6)). Sort u, 3, 2 in decreasing order.\nAnswer: 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*k + 38*k + 5*k**3 - 153*k + 39*k + 37*k.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.15 - -0.3. Let t = -0.16 + p. Let c = 0.99 - t. Is 0 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + 38*x**2 - 38*x**2 - 4 + (0 - 2 - 1)*(6*x**3 + 4*x**3 - x**3).\nAnswer: -28*x**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372089049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 12. Suppose 0 = t*d + 5*d - 56. Let g = 7\/3 + -2. What is the third biggest value in -1, d, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24632408, -24632440, -24632494, -24632570, -24632668?\n\"Answer: -11*v**2 + v - 24632398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i**2*k**3*v**2 + 4*i**2*k**2*t*v**2 + 13*i*k**3*t + 5*i*k**3 - 3*i*k*v**2 + 2*k**3*t*v**2 wrt i.\nAnswer: -8*k**3*v**2 + 8*k**2*t*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107 and 5639863.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, l: 2, v: 1, y: 4, q: 1}. Give prob of picking 1 k, 1 l, and 1 v.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - -2)\/((-15)\/(-18)). Let g(i) = -i**3 + 6*i**2 + 5*i - 20. Calculate the lowest common multiple of g(n) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 13. Let a be f*1\/((-15)\/(-6)). Suppose 0 = a*m - 10, -2*q - 4*m + 5399 = 13979. What is q rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 260 in 5, -9, -1294?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + (-1 + -2 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5123748, 5123815, 5123926, 5124081, 5124280, 5124523, 5124810?\n\"Answer: 22*o**2 + o + 5123725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13375 - -13375.1. Let t be ((-5)\/(-20))\/(14\/16). What is the smallest value in m, t, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/20 in -2\/9, -3, 5, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*((-40)\/6 - -4). Suppose -3*g - g + t = 0. Solve g*b - b = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2203390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2289543836 to the nearest integer?\nAnswer: 47849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r**2 + r - 1. Let b be h(1). Let g = 10 + b. Solve g*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1160 - 1155. Solve 5*y - 23 - 22 = -5*z, s*y = 2*z + 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 4:40 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3092.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 29, 2\/11, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3135 is divided by 875?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1697*f**3 + 33463*f**2?\nAnswer: 10182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*g = 218, 5*d + 0*g - 4*g = 517. Suppose -100*s = -d*s + 3145. Is s a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*y**3 - 19*y**3 + 217*y - 218*y + 18*y**3.\nAnswer: -34*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2848*l - 27876. Calculate n(-10).\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 245256*w - 1226205.\nAnswer: -3*(w - 81747)*(w - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2, 0, 5 in increasing order.\nAnswer: -2, 0, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h. Let j(u) = 86642*u**2. Calculate r(j(s)).\nAnswer: 173284*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + x + 1. Let c(p) = 19*p**2 - 17*p + 11. Let i(n) = c(n) + 6*d(n). Let q be i(2). What is the greatest common factor of 47 and q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 3*i + 2*i)*(-3*i - i + 3*i) - 17*i**2 - i**2 + 7*i**2 + (-5 + i + 5)*(-2*i + 2*i + i).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3061703 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 16. Let m be 44\/(-6) - (-6)\/f. Let a(b) = b**3 + 7*b**2 - 9*b + 10. Does 9 divide a(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/22*326 - (5 + (-1254)\/242)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 3*k + 2*k)*(4*k - 3*k - 3*k) + k - k + k**2 - 3*k**2 - 1 - 1 - 3*k**2.\nAnswer: -9*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 1113*n - 6422. Calculate q(6).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 595 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 5*j**2 - 3*j - 17. Calculate s(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 437 - 432.89. Let j = 0.03 - g. Let z = j - -0.08. What is the smallest value in 0.3, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.45 + 2.5. Let g = -1.05 + 0.9. Let t = g + u. Which is smaller: t or -2\/23?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g - 2. Let u be (((-2)\/g)\/(-1))\/(-1). Suppose 3*a + l + u*l = 30, 3*l - 5 = 2*a. Solve a*c + 0 = -5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 5*n - 7. Let m be l(-5). Let g(z) = z**3 + 8*z**2 + 8*z + 2. Let i be g(m). Let b(d) = 2*d + 5. Let s be b(i). Is 2 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.53\nAnswer: -0.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -5) + -8 - (22 + -18 + -11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 995080 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9.484 and 526.04?\nAnswer: 535.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10))\/((-6)\/10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-5\/7))**(-39))**48 assuming r is positive.\nAnswer: r**(-3744\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g + 4875 + 5*g - 9766 + 4891.\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 16392 divided by 4028\nAnswer: 4098\/1007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8904927*u - 26714792*u + 8904936*u + 8904929*u - 6*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8430636 and 8304?\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4586 at least 4593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 - 2*b - 11. Let s be a(4). Suppose 0 = -5*h + 25, 5*q + 0*q - 4*h = s. Let y = q + -11. Solve -r = r + y*t + 4, -t = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -269, -818, -1365, -1910, -2453?\n\"Answer: f**2 - 552*f + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p**4 - 1974553*p**3 + 1107691*p**2.\nAnswer: -72*p - 11847318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2107 + 0.4.\nAnswer: 0.1893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2115 - -10526. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*n - 232 = -146*n. Solve -3*r - 37 = 5*q, -2*r - 1 = -3*q - n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 13*b**3\/3 + 93*b**2\/2 - 9*b - 886. Let f(m) = 3*m**2 + 23*m - 2. Calculate 9*f(y) - 2*p(y).\nAnswer: y**2 + 21*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssmmrsrmsrrrrsmsrs. What is prob of sequence mmr?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -52*w + 96. Let g(f) = -19*f + 35. Let q(b) = 11*g(b) - 4*n(b). Let k(r) = 16*r**2 + 6*r - 7. Calculate -k(l) - 5*q(l).\nAnswer: -16*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286324047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8\/((m**2\/m)\/m)*(m**(1\/2))**(-1\/29))\/((m*m**(-4)*m)\/m**(-2)*((m\/(m\/m**(-2\/5)))\/m)**(-3\/10)) assuming m is positive.\nAnswer: m**(5483\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 120*n**2 + 4 + 12 - 122*n**2 + 12*n. Let j be b(7). What is the third derivative of -20*z**j - 9*z**3 - 2*z + z + z wrt z?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 433 * -1.\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -11, 6, -1980 in ascending order.\nAnswer: -1980, -11, -1, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -589.6 - -654. Let y = z - 58. Let a = -5.8 + y. Round a to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 3*p - 10 = 225*q - 454*q + 231*q, 4*q + 20 = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -314 + 76*d**3 + 46 - 78*d**3 to g + o*d**2 + z*d**3 + q*d and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -207 or -195?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67684330 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15079*47.8\nAnswer: -720776.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4705 - 4705 - 3*t. Let w(p) be the third derivative of -7*p**4\/24 + 2*p**2. What is w(f(v))?\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-24)*80\/(27520\/774)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1323 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-5) - (-32)\/(-20). Let t = 0.11 + -0.11. Which is the biggest value? (a) d (b) 2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*v = 2, -p = -0*p + 2*v + 3. Let a(g) = 1. Let d(s) = -s**2 + 2*s - 8. What is p*d(t) - 6*a(t)?\nAnswer: t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 691 by 2.\nAnswer: 691\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27079 or -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - q + 10*q + (0 - 5 + 3)*(-4*q + 4*q + 2*q) to the form g*q + b and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -685 - -696. Let s(l) = 14*l - 6. Let a(j) = 3*j - 1. Give h*a(p) - 2*s(p).\nAnswer: 5*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*p + 20 + 38*p - 20 to the form i + t*p and give t.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21452041 is divided by 11255?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304.0771m to micrometers.\nAnswer: 304077100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 104, 300, 574, 926?\nAnswer: 1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 180359 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -3)\/(68\/12 - 7)*-3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*o - 0*p + p + 55, -127323*p + 127318*p = 2*o - 1 + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/7)\/w**8*(w**(-3)\/w)**(-24))**(9\/2))**(-15) assuming w is positive.\nAnswer: w**(-41310\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 + 2*w - 4. Let q(t) = -2*t**2 + 596. Determine l(q(p)).\nAnswer: 8*p**4 - 4772*p**2 + 711620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t**2 + 4*t + 11. Let h be x(7). Let c = h - -142. Calculate the common denominator of 97\/8 and 490\/(-144) - (-36)\/c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/804 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24110*q + 0*t = 24115*q - 4*t + 169, -62*t + 8*t + 219 = -5*q for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52020369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: 36\/4*(30240\/486 - 71)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y**2 - y + 76. Determine m(7).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**3 + 23*o**2 - 28*o - 33. Determine j(-9).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**4\/4 + 24*x. Let y(u) be the third derivative of 0*u**3 + 0 - 5\/24*u**4 + u**2 + 0*u. Give y(o(g)).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -8*n + 23. Let q be -3*(-2 + (2 - 1)). Suppose -195 = -q*a + 3*c, c - n*c = 3*a - 219. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 - 2012*r + 622364 + 622356 - 1244719 - r**2 to a*r**2 + s + u*r and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + 2*v**3 + 16*v + 13*v**4 + 2 - 14*v - 9*v**4 + 18*v**4 - 3 as n*v**3 + k*v**4 + s*v**2 + h*v + x and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*t**4 + 20*t**3 + 7*t**4 + 373152*t - 376790*t + 27*t**3 wrt t?\nAnswer: -156*t**2 + 282*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 890.0731l?\nAnswer: 890073.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 5 - ((-19 - 0) + -7 + -3)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (15216\/378)\/(-8) + (-90)\/(-9) + -5?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + o. Let b be l(14). Let w = b - -97. Let c = w + 148. What is the remainder when c is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29439*h**4*k + 2*h**4 + 84*h**3*k - 2*h**3 - 911*h**2*k + 17*h**2 + h*k - 69*k - 1 wrt h.\nAnswer: 706536*h*k + 48*h + 504*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 675 - 671. Sort -5, -45, y.\nAnswer: -45, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 2010 = 4*m. Suppose 2*k + 2*k - 176 = 0. Let c = m + k. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43793505 and 2240.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 30*a - 2. Let v(h) = 1657 - 1657 + 2*h. Give w(v(m)).\nAnswer: 60*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3 - -4 - 0) - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z**(2\/9)\/z))\/z)**31\/(z**(-2\/17))**(-19\/2))**(-6\/17) assuming z is positive.\nAnswer: z**(-16522\/867)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-135))\/(26*44\/(-2574))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.24102 to 0 decimal places.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -450*l**3*n**3 + l**3 - 418*l**2 wrt n.\nAnswer: -1350*l**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 6*v + 4*w - 8 = 0, 2*w = -4*v + 22 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1009819240975 take away 0.1?\nAnswer: -1009819240975.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*o - n - 18, -3*o - 24 = -5*n. Let h(f) = -22*f - 5 + 2 + 9 + 1 + 37*f. Let v(i) = -7*i - 3. Determine o*v(m) - 6*h(m).\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*f**5 + 1596*f**4 + 25*f**2 + 4*f + 3 wrt f.\nAnswer: -660*f**2 + 38304*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2166 - -607.01.\nAnswer: 2773.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138829594, 138829571, 138829538, 138829489, 138829418?\nAnswer: 138829319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 + 3*v**3 + 2*v**3 + 166*v**2 + 341*v**2.\nAnswer: 2*v**3 + 507*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-26)))\/(m*m**19))\/(((m*m**(3\/11)\/m)\/m*m)\/m**28) assuming m is positive.\nAnswer: m**(-201\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5940 by 5.\nAnswer: -1188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -12*o**3 - 2*o - 2. Let i be g(-1). Calculate the highest common divisor of 48 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (912\/30)\/(2\/15). Let m = -116 + r. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -235*z**3 + 5*z**2 + 7*z - 5. Let n(l) = -236*l**3 + 6*l**2 + 8*l - 6. What is -6*n(b) + 7*u(b)?\nAnswer: -229*b**3 - b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 71296153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 + 15*m + 11. Let z be p(5). Suppose 154 = -4*b + 6*b. What is the greatest common factor of z and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8461564 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 431.0353 to the nearest integer.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46*w**4 + 2*w**3 + 36 wrt w?\nAnswer: 184*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 7 = 2*a. Let r be 2 - a\/(-4)*-2. Suppose 5*j - 62 = u + 55, 0 = r*j + 3*u - 81. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -100, 2\/7, -4, 2\/9 in decreasing order.\nAnswer: 2, 2\/7, 2\/9, -4, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-130)\/195*120\/(-100))\/(134\/5)\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 560 = -3*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0 = 3. Suppose 8*h = a*h - 35. Let r = 13 + h. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25194 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58.2 - 58. Let i = 0 - j. What is the third biggest value in -0.3, -2\/7, i, 0.04?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1317*x + 1293*x - 2556*x = 1134 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 7, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 12:31 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8273*u - 8914*u - 28845 = 0 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**0)**(-13\/2)*((t*t**(-1))\/t)**(-1\/5))**(3\/2) assuming t is positive.\nAnswer: t**(-189\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4401 is divided by 2198?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*n + 12*p = -88*n - 83, -3*p = 7*n + 28 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/155 and -62\/492325.\nAnswer: 15262075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + q + 3 - 2*q**2 + q**3 + 0*q - 2*q**3. Let g(h) = -h**3 - h**2 + 2*h + 4. Suppose 0*x = 6*x + 24. Give x*p(w) + 3*g(w).\nAnswer: w**3 + w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -221*f**2*k*q + 54*f**2*q**2*x - f*k*x + 3*f*q**2*x + 2*k*q**2*x wrt k.\nAnswer: -221*f**2*q - f*x + 2*q**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - 4.2. Let p = t + 0.6. Let v = p - -3.9. Which is the closest to -1? (a) 0.2 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h + 6 - 6 + 0*h. Let x be c(-1). What are the prime factors of (-2)\/(-5)*(-130)\/x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -392863, -389751, -381309, -364873, -337779, -297363, -240961?\n\"Answer: 444*y**3 + y**2 + y - 393309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-345*v + 152*v - 723*v + 3*v - v - 4*v + (-4*v + 4*v - 2*v)*(-4 + 3 - 1) - v - v + 4*v - 3 + 3 - v)*(-2*v - 13*v + 7*v).\nAnswer: 7304*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 - 142 = -61*b. Is 31\/15 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4021 + -72419\/18. Suppose 0 = -3*z + m + 5, -2*z - 2*m + 3 = -3. Find the common denominator of z\/(-5)*102\/18 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*o - 2*o + c, -3*o = c - 7. Solve -g + 3 = -o*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**3 + 3 + 36*s - 46*s - 3 + 27*s.\nAnswer: 10*s**3 + 17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5271, -5416, -5667, -6024, -6487, -7056, -7731?\n\"Answer: -53*w**2 + 14*w - 5232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(245)*-2*-1)**2.\nAnswer: 24500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 752 (base 12) in base 13?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5425781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 23*x**7\/70 + 127*x**6\/10 - 97*x**5\/4 - 23*x**4\/4 + 176*x**2 + 9*x. Let s(q) = 0. What is q?\nAnswer: -23, -2\/23, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 0*d + 6*d)*(3 - 10 - 16)*(-18 + 18 + 9*d**2) as u*d**3 + v*d**2 + h + y*d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2\/125 of a centimeter?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -58*t**2 - 272*t + 2300. Give f(-9).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 8 = -10*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(20\/(-4))*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-27) + 1\/3. Let u(h) = h**2 - 6*h + 8. Let g be u(3). Let x be -5*(1 + 3 + -5). What is the nearest to g in x, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 6:16 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/12)\/(42\/56). Let n be (-14)\/(-9)*(-48)\/(-56)*y. Solve -8*z - n = -6*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k + 3. Let l(g) = g. Calculate -6*l(z) + u(z).\nAnswer: z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 1269372.\nAnswer: 126937.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00100384 rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8960139, -35840567, -80641279, -143362275, -224003555, -322565119, -439046967?\n\"Answer: -8960142*q**2 - 2*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + h**2 + 1. Let t be (-5)\/(-50)*4 - 16\/(-10). Let i(b) = 6 + 2*b + 4*b**3 - 18*b**3 + 6*b**3 + 8*b**t. Calculate i(u) - 6*j(u).\nAnswer: -2*u**3 + 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -0.017956.\nAnswer: -1.017956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a = 0, 4*g + 3*a = 1232. What is the greatest common divisor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12293 and 1387?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-2 + -14776)*13. Let r be (-6)\/8*192\/(-72). Suppose -2592112 = -r*u - o. Round u to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s + 10. Let r be w(8). Suppose 15 = t + 5*l, -3*l - r = -3*t + l. What is the common denominator of -61\/10 and (7 + -5 - t\/4)*22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 5348*y**2 + 2329. Let n(m) = -m. Give n(x(q)).\nAnswer: -10696*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -90*v + 2822. Let l be d(32). Suppose -3*p - 2*n = -9, p + 4*p = n + 15. Sort l, -3, p, -2.\nAnswer: l, -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14599 by 4.\nAnswer: 14599\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107 + -107.1. Which is the closest to m? (a) 0.02 (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4205 divide 23939065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Find the first derivative of y + 3*u - 6*u - 6 + 1 wrt u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vajj when four letters picked without replacement from vjajajsjaaaajujjvss?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3 + 2 + 2 + 29*p - 21*p. Let v = -2 + 5. Let o be c(v). Solve 0 = 5*r + o, -h = 5*r + 22 + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(-185 + 4)*(-32)\/(-80). Is -363 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115 - -125. Solve -4*b - g = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(85)*-3 - (sqrt(85) + sqrt(85)*1 - sqrt(85))*3)\/(sqrt(5) + sqrt(80) + sqrt(60)\/(sqrt(36)\/sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**4\/8 - 14*i**3\/3 - 86*i**2. Let g be m(10). Put -5, 3, g in ascending order.\nAnswer: -5, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1561780 and 23\/123660?\nAnswer: 42168060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3460650363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1142 is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u + 12. Let f(o) = 25 + 30*o + 38*o - 62*o. Suppose -8 - 1 = -h. Let k(b) = h*w(b) - 4*f(b). What is the derivative of k(a) wrt a?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 28*v**2 + 2*v + 1. Let u be k(-1). Calculate the common denominator of 48\/72*(198\/(-8) + 0) and u\/(-36)*(0 + (-4)\/(-5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 14*c + 4*c + 3*c - 23*c - 2. Give t(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-22)\/10)\/(-11))\/((-4)\/(-120)*6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -6*q + 134 - 1\/2*q**2. What is r(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 397 = -407, -4*z + 24 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in -441, -497, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 805 - 803. Let l = 1087 - 1089. Which is the fourth biggest value? (a) o (b) 5 (c) -1 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56, 109, 162?\n\"Answer: 53*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(3))\/sqrt(2))\/(sqrt(256)\/sqrt(4)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/12))**(-9)\/(d**(-9\/4)\/(d\/d**(-16))) assuming d is positive.\nAnswer: d**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 110*v + 1156. Let g be y(14). Which is bigger: 2697 or g?\nAnswer: 2697","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-1)\/3) - 11. Let m be z\/(-6) + 5\/(-15). Suppose 0 = 2*a, 4*x + m*a - 24 = 7*a. Solve -n + x = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z. Let a be (-20)\/(-6) - (-3)\/(-18)*2. Let s(i) = -5*i - 4*i + 0*i + a*i. Calculate p(s(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 94949*-0.3\nAnswer: -28484.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pej when three letters picked without replacement from {p: 5, e: 5, j: 3, w: 2}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1811 (base 12) to base 3.\nAnswer: 10222011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(250)*2)\/(sqrt(22)\/(sqrt(55)\/sqrt(5)) + 1*sqrt(200)).\nAnswer: -10*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0795418181 rounded to four decimal places?\nAnswer: -1.0795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 539*s - 5. Let t(j) = 3*j**2 + j. Calculate t(a(n)).\nAnswer: 871563*n**2 - 15631*n + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13024*b*j**2 - 1520515*b - j**2 - 6*j wrt j.\nAnswer: -26048*b*j - 2*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 16 + 2. Suppose -3*v + 4*c = -0*v + 8, 0 = 2*v - 3*c + u. Do 2 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*m - 1528 + 764 + 764 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2755402440, -2755402441, -2755402442, -2755402443?\nAnswer: -2755402444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**7\/1680 - s**6\/120 - s**5\/60 - 2*s**2. Let g(j) be the third derivative of q(j). Differentiate g(x) wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 880615*j - 880620.\nAnswer: 5*(j - 1)*(j + 176124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87057654?\nAnswer: 2, 3, 233, 62273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 577349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 24 = 5*q. Let y = q + 15. Solve -5 - y = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 1. What is the remainder when l is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 818 = 69*f - 907. What is the highest common factor of 345 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 672574.8 litres to millilitres.\nAnswer: 672574800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1589, 3175, 4757, 6335, 7909?\nAnswer: 9479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/7, -0.0584, 87?\nAnswer: -0.0584","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53490 and 38130.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -13*p - 454. Calculate s(6).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1.5, 82\/5, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - -2*sqrt(1088)*-2)**2 - sqrt(1088).\nAnswer: -8*sqrt(17) + 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -13*h**5\/60 + h**2. Let i(n) = 231*n**2 - 77*n**2 - 75*n**2 - 81*n**2. Calculate i(c(s)).\nAnswer: -338*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8512 and 8274.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*(sqrt(117) + -2) + -3)**2.\nAnswer: -324*sqrt(13) + 4289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/34*(-5 + -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-30))\/(2\/10). Let i(h) = -h**3 + 4*h**2 + 6*h - 4. Let k = -10 - -16. What is the least common multiple of i(q) and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 7)*(29*s**2 + 44*s - 44*s).\nAnswer: -174*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 8*m - 5. Let o(g) = -36*g - 127. Let t(v) = -3*b(v) - o(v). Let r(a) = -a. Calculate r(t(n)).\nAnswer: -12*n - 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, p: 2}. Give prob of sequence pp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 55040.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.8448 millennia in decades?\nAnswer: 2384.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*f = -3*z, 4*z - 3*f = -20. Suppose 0 = 4*t - 5 - 3. Suppose 2*h + t*h - 16 = 0. Put h, 1, z in ascending order.\nAnswer: z, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/14*(-175)\/(-10) and (97\/10)\/((-8)\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 317, 283, 161, -103, -563, -1273, -2287?\n\"Answer: -9*u**3 + 10*u**2 - u + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/426 and -31\/60.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20400 and 306?\nAnswer: 61200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -3\/50, 2\/7, -128608?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*l - 1591 + 5047. Which is smaller: l or -796\/11?\nAnswer: -796\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/7)\/((-90)\/(-315))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -38\/5 (c) -56720\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*f - f**3 - 9 - 18*f - f**2 - f**2 as s*f**2 + v*f + k*f**3 + h and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/((-380)\/8) + 685014\/114. Let x = m + -2302. Round x to the nearest 100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/(-3) + -5 + (-4)\/(-3). Suppose 0 = w*h - 5*a - 31, a + 11 = 2*h - 0. Sort -4, 1, h, -2.\nAnswer: -4, -2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1691, 3378, 5065, 6752?\n\"Answer: 1687*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*s - 70, m = 2*m + 5*s + 35. Let u be -2 - -3 - m\/(-25). Which is the biggest value? (a) -0.5 (b) -2 (c) 0.5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6599 or 1306?\nAnswer: 0.6599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 553263093 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 7*x - 9*f, 5*x - 5*f - 38 + 58 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.4, -2.9, -2\/13?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -507*y - 9629. What is h(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)*y**(-1)\/y*(y**(2\/7))**(-44))\/(y*y**(-4\/5)*y*y**6*y*(y**1)**(-1\/40)) assuming y is positive.\nAnswer: y**(-18547\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/5))**(7\/11)*(n\/(n*n\/n**1))\/(n*n**(-2\/7)\/n)*(n**(-2)*n)\/n**(1\/5)*(n**(-5)*n)\/n**(-7) assuming n is positive.\nAnswer: n**(1146\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-328)\/6 - -12 - 2\/(-3). Let j(l) = -l - 40. What is j(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3*(-2)\/(-21))\/(3\/(-21)). Let b(g) be the second derivative of 4*g + 0 - g**3 + 1\/12*g**4 + 9\/2*g**f. Factor b(u).\nAnswer: (u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -0.4, 0.5, -0.16, 2, 5\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 - 69. Let z(k) be the first derivative of o*k**2 + 2\/25*k**5 + 0*k**4 + 0*k + 4 - 2\/15*k**3. Let z(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - x + 2*x - 1060 + 361.\nAnswer: 2*x - 699","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j - 9 = 24*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-480))\/((-37)\/10545)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 4*u - 9. Give a(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/16507 and 23\/1785.\nAnswer: 1733235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 12*g - 9*g - 1512, 4*z + 2*g = 1508. What is the smallest common multiple of z and 10?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 19\/7)\/(2067\/9646). Solve a*h = -186 + 226 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, m: 1, o: 1, q: 1, f: 4}. Give prob of picking 2 f and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*w**3 - 80*w**3 + 54*w**3 + 0*w**2 + 2*w**2 + 56*w**3 + 64*w**3.\nAnswer: 15*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 - 24*q**2 + 27*q + 324. Give f(-14).\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 957 - 951. Let k(d) = -11*d - 8. Let h(y) = -10*y - 7. Calculate i*h(b) - 5*k(b).\nAnswer: -5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*a - 2*a**2 + a**2 - 16*a to v*a + j + y*a**2 and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 5650.4.\nAnswer: -79105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3387 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**7\/30 - 35*i**4\/24 + 21*i**2. Find the second derivative of l(z) wrt z.\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 6*f**2 + 6*f - 1. Suppose j - 3*c - 80 = -c, 5*c + 10 = 0. Let s = 4197 + -4266. Let l = s + j. What is t(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**6\/5 - 9*l**5\/20 + l**3\/2 + 5*l. Factor g(f).\nAnswer: 3*f*(f - 1)**2*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16105.48g to micrograms.\nAnswer: 16105480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 - 21. 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 c be (2 - 2) + (-4)\/(-2). Suppose -x + 0*i = -3*i - 13, -c*i = 6. Is (-8)\/(-10)*310\/x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 9*c**2 + 12. Let v be d(9). Suppose 0 = q - v + 2. Solve m + m - q = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*b + 1 - 3)*(-7*b**3 - 3*b**2 + 3*b**2) + 0*b**4 + 3*b**4 - 4*b**4.\nAnswer: -15*b**4 - 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161 + 1770\/11. Let k = 1914 + -1914.01. Which is bigger: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -881 divided by 2?\nAnswer: -881\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.53 + 1.77. Let p = k + -2. Sort p, 1\/6, 0.4 in increasing order.\nAnswer: 1\/6, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1450 + 345423?\nAnswer: 343533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4287*p**3 + 4*p**2 + 4*p. Let l(f) = 10721787*f**3 + 10003*f**2 + 10003*f. What is -4*l(s) + 10003*m(s)?\nAnswer: -4287*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6541550770.\nAnswer: 2, 5, 654155077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-2\/23)\/i*i)*i**(7\/3)*i*i**17*i**4 assuming i is positive.\nAnswer: i**(1754\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (0 + 4 + 1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24058.713 months in millennia?\nAnswer: 2.00489275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 7488.\nAnswer: 82368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2461292 or -7383875\/3?\nAnswer: -7383875\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2019*y = -22696 + 194862 + 80209 for y.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 992781 and 376.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 5 (c) 67 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 93*h**3*k**2 + 6*h*k**3 + 33434*k**3 wrt h?\nAnswer: 279*h**2*k**2 + 6*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 5, d: 1, z: 4}. Give prob of picking 2 i and 1 n.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgkkhkqqkhgkdgh. Give prob of sequence ghdh.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 131802, 263605, 395408?\n\"Answer: 131803*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from gmggnlllggmgngghgggg?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*d = 154*d - 37143658. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -855 - -859. Sort 3, 26, 1, c in decreasing order.\nAnswer: 26, c, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.44195 millilitres to litres.\nAnswer: 0.00644195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 0.41, -0.00467, -224\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 1707*v + 22356. What is x(13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-16) + 82\/16. Sort x, -2, 2 in descending order.\nAnswer: x, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 20*h**2 + 213*h - 2209. Determine r(25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127\/469 + 1\/67. Let z(w) = w**3 - 7*w**2 + 6*w - 2. Let j be z(6). Which is the smallest value? (a) h (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9310*r**4 - 6*r**2 + 33*r + 37.\nAnswer: -223440*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*d - 9*d. Let p(b) = 21*b**2 - 2*b. Let i(x) = x. Let w(v) = d*i(v) - p(v). Let u(z) = z**2. Give w(u(f)).\nAnswer: -21*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21620591, -43241184, -64861775, -86482364, -108102951, -129723536, -151344119?\n\"Answer: y**2 - 21620596*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2491 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 0.6, -4\/2387, -1\/2, 1\/7 in increasing order.\nAnswer: -104, -1\/2, -4\/2387, 1\/7, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 116849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 5:34 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 - -1. Let w = -4 + 13\/3. Let j = -9 - -7. Which is the third smallest value? (a) w (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18457 by -1.\nAnswer: 18457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1496 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -v - 28. Let g(t) = t**2 + 7*t. What is g(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 828 + -821. Suppose 3*m - 30 = 4*p - k, 0 = 4*m + 3*p - 39. Solve -3*i = -m*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 80*s + 1 - 77*s)*(3*s**2 - 3*s**2 - 2*s**2).\nAnswer: -6*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -g - 543, 2*g + 2*q - 257 = -1355. Round g to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -14*x**2 - 67*x - 149. Let s(u) = -2*u**2 - 13*u + 1. Determine 5*s(k) - w(k).\nAnswer: 4*k**2 + 2*k + 154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -4*t - 65 + 48, -25 = -2*q + 5*t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 704?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f + 60 + 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/11 and -27\/109231.\nAnswer: 1201541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) 5\/6 (b) -2\/3 (c) -1\/184 (d) 4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auuu when four letters picked without replacement from auaauauauaaau.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 5. Let l be a(6). Let c = 0 - l. Let k = 12 - c. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/11 + (-25)\/275.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 4*o + 2*o + 0*o - 2*o + 4*o + (-3 + 0 + 2)*(0*o + 2*o - 3*o) - o - 1 + 1.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0308 + 0.51.\nAnswer: 0.5408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10017.2 - 10017. Which is the closest to k? (a) -0.1 (b) 2\/9 (c) 0.01 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -65\/26186217 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5965249269 + 0.02\nAnswer: -5965249268.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11751273.\nAnswer: 3, 151, 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) - (5*sqrt(99) + 3 + sqrt(99)))**2)*-1 + -5 + (4*sqrt(99) + -4 + sqrt(99) - (sqrt(99) + 1 + 5 + sqrt(99))).\nAnswer: 96*sqrt(11) + 2469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 462170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10859 from -32212622093.\nAnswer: -32212611234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22\/43, 5, -0.2, 2?\nAnswer: 22\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6289628 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1686 + 2611. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (53\/(-6))\/((-2)\/(-4)) and (45325\/(-390))\/35 + 7\/3?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**2 + 46*h + 4. Calculate w(-12).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - -1.36. Let k = g + 0.7. Which is the closest to 0? (a) -0.3 (b) 1\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -4. Let d = 1.1 + -1.6. Let v = 0.05 - 0.25. Which is the second smallest value? (a) v (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 6:20 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -5, 2\/19, -2, -3 in decreasing order.\nAnswer: 1\/4, 2\/19, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 2130030?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 4:01 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 227*l**5\/12 + 128*l**4\/3 - 34*l**2 - 19*l. Find the second derivative of o(p) wrt p.\nAnswer: 2270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-18) + 2\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -349329, -698703, -1048059, -1397391, -1746693, -2095959, -2445183, -2794359?\nAnswer: -3143481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -11 + 2. Suppose 0 = -i*f + 2*f + 30. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**3 - l**3 + 3*l**3 + (0*l**2 + 6*l**2 - 2*l**2)*(3*l + l - 5*l) to the form p*l**2 + j + z*l + y*l**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**2\/7 - 15*i\/7 + 286\/7 = 0?\nAnswer: -26, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -199.5 + 200. Which is the smallest value? (a) f (b) -0.3 (c) 0.15 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240286 is divided by 79063.\nAnswer: 3097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -30. Suppose -6 = 3*x, -4*z - a*x = -31 - 19. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0. Let l = -2\/297 + -881\/1485. Sort 1, i, l in decreasing order.\nAnswer: 1, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5698 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27886 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*g + 44*g + 67*g)*(3 - 4 + 3) + 278 - 13*g - 278.\nAnswer: 313*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*i - 60*i + 35*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*y + 86*y + 85*y - 106*y**2 - 378*y + 116*y.\nAnswer: -106*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**4*f - 22370*b**4 + 156*b**2 - 361*f wrt b?\nAnswer: -72*b*f - 536880*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -4. Suppose t = 3*n - 8*n + 743, d*n = -2*t + 741. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 16*k**2 - 112*k + 5. Let h be b(7). Solve r = -l + h, 17*r - 19*r = -l - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p*x - 660540*p - 7904270*x wrt p?\nAnswer: x - 660540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 8*p = -12*p - 31, -5*j = -2*p - 33. Let t(m) = -17*m - 22. Let u(r) = 8*r + 11. Let b(h) = 2*t(h) + 5*u(h). List the prime factors of b(j).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5593374 and 19926?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -2. Let m = -1541 + 1596. Does 15 divide g\/((-7)\/(-2)) + m*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 307*z**4\/2 - 922*z**3\/3 + z**2 + 2*z + 690. Suppose b(p) = 0. Calculate p.\nAnswer: 1\/921, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-1)*(7600\/(-32))\/(-19) is divided by -2*(38\/(-4) + 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -0.4, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141691616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 20062*x**2 - 8*x - 1. Let k be a(1). Suppose 2*s - 13*s = -k. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*f + 1385 = -65*f + 8055 + 2716 for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1453*f + 10 = 1454*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y + 0 + 0. Let s(f) be the first derivative of -f**5\/120 + f**3\/3 + 1. Let k(h) be the third derivative of s(h). What is a(k(b))?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3137 - 32.2937. Let w = 33.061 - 0.061. Let n = w + u. What is n rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -93 (b) 2\/17 (c) 3\/179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -2*j**5\/5 + 5*j**4\/6 - 3*j - 35. Let u(t) be the first derivative of y(t). What is the third derivative of u(g) wrt g?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from xbxbv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 483a2 - -6a4?\nAnswer: 48a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/5)\/6 + (-11)\/(-5). Solve -1 - 9 = k*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*v = -34*v + 3*m - 5, 5*v + m - 9 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/182*(-1302)\/(-620)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 117 and 3.95?\nAnswer: 462.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 144.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -9. What is the lowest common multiple of z and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcffxxffc. Give prob of sequence cfx.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhc when three letters picked without replacement from {h: 1, u: 3, c: 3, m: 1, s: 2}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*j**2 + 7*j**2 + 2*j + 20*j**2.\nAnswer: 299*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 5*c + 1. Let q(x) = x. Let a be q(6). Suppose w = 2*w - a. What is f(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n. Let j(i) = -i + 4*i - 4*i**2 - 3*i. Determine j(y(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6519 + -6517. Solve 0 + 32\/5*d - 4\/5*d**3 - 28\/5*d**j = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 57317.15464?\nAnswer: -57319.15464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -851 by 1199.\nAnswer: -851\/1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/163256 and -71\/244884.\nAnswer: 489768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2035 and 6600.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 12*y - 1. Give q(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.27 - -0.01. Let x = 0.59 - m. What is x rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 0*b**2 - 2*b**2 + (0*b + 17*b - 5*b)*(-2*b - b + b) + (-3*b**2 + 3*b**2 - b**2)*(-4 + 2 + 0).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*6\/(-24) - 1\/(-12). Let l = 0.1 - 0.5. Let f be 4\/8*8\/10. What is the biggest value in f, j, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3057751 rounded to four decimal places?\nAnswer: -0.3058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjoe when four letters picked without replacement from {g: 1, h: 1, y: 4, o: 1, e: 3, j: 2}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 - 7\/(-2). Let p(j) = -36*j**3 + 974*j**2 - 54*j - 6. Let h be p(27). Sort h, -1, 3, b in decreasing order.\nAnswer: b, 3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/45*5)\/(1\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*y + 121*y + 85*y.\nAnswer: 29*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-8 - (14 - 109)) - (-5 + -12 + 5)\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 2*a**2 + (0*a - 2*a + 3*a)*(-6*a + 3*a + 2*a) + 16137*a**2 + 1468*a**2 - 4157*a**2 in the form l*a**2 + i*a + u and give l.\nAnswer: 13449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -170149\/13981 + -15\/1271. Is -13 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1544 - 1241. List the prime factors of k.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4 - 16. Suppose -4*z + 10 = 2, -4*q = s*z - 86. Let w(p) = -p**3 - 4*p**2 + 3*p + 2. Calculate the least common multiple of q and w(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*z - 2*z + 142*z)*(3*z - 5*z + 0*z) + 3*z**2 - 2*z**2 + z**2 + 3*z**2 + 0*z**2 - 12*z**2.\nAnswer: -255*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1770)\/216)\/(-59))\/(2\/(32\/30))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**4 + 9*d**3 + 63*d wrt d.\nAnswer: 36*d**2 + 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 96317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 130 + -115 - (-3 - -1). Solve 32*b = g + 79 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*f - 23*f - 23*f)*(-2*f**2 - f**2 + 4*f**2)*(-3 + 4 + 8)*(4 - 4 - 2)*(2*f + f - 2*f).\nAnswer: 1098*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r - 1071 = -32*r + 2*r. Calculate the smallest common multiple of 4335 and r.\nAnswer: 30345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -773 * 1.8.\nAnswer: -1391.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**6\/60 + 3*q**5\/20 + 13*q**4\/24 + q**3 + q**2 + 2*q. Factor n(y).\nAnswer: (y + 1)**2*(y + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002586 rounded to five decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 1389?\nAnswer: 6945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/((-16)\/(-6))*-6. Let z = n - -14. Solve -2*v - z = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68732?\nAnswer: 2, 17183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1080 and 2160.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) + (1 - (-51)\/(-9)). Suppose -u - 50 = -5*p + 46, -4*u = -5*p + 324. Let a = 71 + u. Put j, 6, -3, a in ascending order.\nAnswer: a, j, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1028534.07 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 - 77*g. Let w(c) = -675*c**2. What is u(w(q))?\nAnswer: -911250*q**4 + 51975*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 84416?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 254 = -5*t + 179, -5*t = 4*o + 71 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10885 + 35?\nAnswer: -10850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2849*w - 2856*w - 70 = 0 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-4) + (-10926)\/1820. Let v = w - 118\/91. Find the common denominator of v and 37\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 25. Let z be -1 + 0 - h*-12. Suppose 0 = 2*v - 3*v + z. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*o + 16. Solve -o*c + 10 - 2 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 5*h + 14. Let o be s(6). Suppose -6*k - 614 = -o*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4780 - 4751. Solve 0 = 13*o - 36 - j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000001100101010010101 (base 2) to base 3\nAnswer: 102221021101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100100100011100 + 101101110001?\nAnswer: 1011101010010001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12651 - -17774. Let f = o + -5122.951049. Let i = f - 0.049. Round i to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*q - 1 = -50*q - n, q = -n - 2. Solve -4*h + 3 = q*k, 3*k + 4*h = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*h**2 - 74*h**2 - 65*h**2.\nAnswer: -107*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 28624725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -19*j - 2. Let v(g) = 2333*g**2 + 2315*g**2 - 6954*g**2 + 2321*g**2. What is v(i(x))?\nAnswer: 5415*x**2 + 1140*x + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**5 + 1725*a**4 - 10515*a**3 - 33045*a**2 + 41832*a = 0.\nAnswer: -581, -3, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oyyyoyyyoyo.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (34\/(-10))\/((-3)\/15). Suppose -16*w + t*w - 25 = 0. Calculate the remainder when w is divided by 2*(54\/4)\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20 + 1 - (-114)\/11438*-129. Determine u, given that 2112\/7*u + 1352\/7*u**3 + r*u**4 + 4\/7*u**5 + 512\/7 + 2818\/7*u**2 = 0.\nAnswer: -16, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from manwnynn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (-5*(-1 + sqrt(5)) - (sqrt(240)\/sqrt(3) + sqrt(5)))**2)*6 + 1.\nAnswer: -12719 + 2400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305803*i = -305519*i + 9656 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1213685\/13 + 93443. Let t = -6933\/91 + s. Calculate the common denominator of -28\/83 and t.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 27*i**2 - 21*i - 86. Let a be q(-27). Let b(w) = -243*w**2 - 8 - 9*w - 239*w**2 + a*w**2. Calculate b(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1395536998.\nAnswer: 2, 101, 6908599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*d = -6 + 92, 2*h = d + 48. Let c = h + -23. Solve -4*j = -8, 2*s + 2*j - c + 9 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 6*l - 3. Suppose 3*p - 4*p = -k + 5, 5*p = -4*k + 29. Let s be h(k). Let q be s - (48\/(-20) + 0). Is q > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 22?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/4)\/((1587\/92)\/69).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 10*l + 0 - 1\/6*l**3 + 0*l**2. Calculate x(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (219*h - 219*h - 93*h**2)*(2 - 2 - 2*h).\nAnswer: 186*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 23 = 5*u - 0*u, 5*u + 25 = 0. Let b be 1\/(-4) - (-16)\/64. Sort 1, j, b in decreasing order.\nAnswer: 1, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (36\/(-48))\/(27\/(-300)) and -61\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2679*n**3*s**3 - 97*n**3*s + 10*n**3 - 2*n*s - 3*n - 156*s**3 + 5*s + 5 wrt s.\nAnswer: -16074*n**3*s - 936*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/17)\/u**(2\/5))**(-50)\/((u**(-2\/21)\/(u\/(u*(u**(-1\/3)*u)\/u)))\/(u*u*u*u*u**(-1\/4)*u)**(-3\/19)) assuming u is positive.\nAnswer: u**(12167\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2372528460?\nAnswer: 2, 3, 5, 1303, 30347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 82 - 60 - 15*v - 37*v + 51*v.\nAnswer: -v + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**5\/7 - 90*x**4\/7 + 753*x**3\/7 - 1086*x**2\/7 - 108*x + 168 = 0.\nAnswer: -1, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**2*v*v*v\/v**(1\/3)*((v\/v**(-1\/5))\/v)\/(v\/v**(4\/3)) assuming v is positive.\nAnswer: v**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42b6a (base 14) to base 10.\nAnswer: -161402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14606268 a multiple of 2479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2 + 3191202*a + 12764776 = 0. Calculate a.\nAnswer: -1595597, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 4*d + 4 + 26, -s + 3*d = 5. Let l(g) = -g**3 + 9*g**2 + 12*g - 15. Let r(b) = -4*b - 3. What is the remainder when r(-3) is divided by l(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30949, 31482, 32009, 32530?\n\"Answer: -3*s**2 + 542*s + 30410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 0*m**3 + 0*m**4 + 3\/40*m**6 + 0 - 16*m**2 + 0*m + 11\/60*m**5. What is the third derivative of x(b) wrt b?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 2*y - 2*y + 4. Let z be ((-6)\/(-15))\/(1\/(-5)). Let f be i(z). Solve -4*a = -2*k - 18, f*a + 2*k = k - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 446 - 435. Suppose -14 = -2*f + 6. Suppose f*d = t*d - 5. Sort -2, d, 2 in descending order.\nAnswer: d, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 9:11 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70.4 - 65. Let q = -0.8 + c. What is q rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3248.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -162*a - 129*a + 38*a to the form w*a + l and give w.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d = -39*d - 792. Let u be (1\/(-3))\/(d\/792). Solve -m + 2 = v, -2 - u = -v + m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 252\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/63343 and 34\/11.\nAnswer: 696773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2643331014\/29 + 91133670. Let d = i + 31347\/2. What is the common denominator of d and 115\/18?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = -12*j + 6120. Calculate the remainder when j is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 2*a**2 - a - 4. Let m be (9\/(-4))\/(2\/8). Let b = -1 - m. Let t = -5 + b. What is w(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 2*n + 8. Let l be o(-4). Is 32580\/l - 4\/32 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 16257*k + 421998. What is y(-26)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1100?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809 is divided by 302.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-2)*(-6)\/8. Suppose -4*i - 2*p + 8 = 0, -3*p - 2 = -2*i + 2. Let x = d + i. Is x greater than -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 368, 1324, 3936, 9032, 17440, 29988?\n\"Answer: 138*f**3 - 10*f + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2798c - 12?\nAnswer: -2799e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(833)*-4 + 4 - sqrt(833))**2.\nAnswer: -280*sqrt(17) + 20846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, o: 1, m: 2, f: 3}. Give prob of picking 1 m and 2 f.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1218796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 747 and 7719.\nAnswer: 23157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.84 and -413.3.\nAnswer: 760.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -263*q - 3657. Let y be k(-15). Solve -y = 7*l - 302 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 818495961 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 206\/30 + (-16)\/(-120). Solve 2*q = k - 7, 5*q + p*k = -0*q + 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 10 - 8 = 0. Suppose 3*y = q*y - 30. Solve 0*d - 2*d = y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**5\/15 + 2*a**2 - 6*a - 4. Let b(d) = -918*d. Calculate b(y(h)).\nAnswer: -3672*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 22. Suppose -2*z = -5*i - 16, 4*z = 3*z - 4*i - 5. Suppose 22 = -z*d - 2*r + 234, r = -u*d + 291. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t = -10*t - 8355. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 148 + 352. Suppose 12 = -4*r + f. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*n*t**2 - 19*a*t**2 - 15*n*t**2 with respect to n.\nAnswer: -2*a*t**2 - 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 2554\/4 - 4\/(-8). Suppose -20*r + 220 + b = 0. What is the remainder when r is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 312*t - 9 - 310*t - 26 - 36 - 36 as u + w*t and give u.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-18) + (-220)\/(-18). Let b = -10 + u. Find the second derivative of 7*k**2 + 7*k**2 - 13*k**b + 6*k wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5 + 5*t**2 - 2*t**2 + 4*t**3 - 3*t**3 - t**2 - 4*t. Suppose -3*m + 27 = 2*i - 5, 4*m = -2*i + 46. Suppose -26 = 10*n + m. Determine c(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 6*k + 3. Suppose -291 = -11*c - 324. What is q(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**5\/60 - 19*n**4\/24 - 13*n**3\/6 + 9*n**2. Let l be x(-18). Solve 4*r = 4*i, r - 10 + l = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -554.73 + 550. Let i = -0.27 + j. Which is the biggest value? (a) i (b) 1\/2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 110001?\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(704).\nAnswer: 1 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 379 - 380. Let t(y) = -y**2 + y - 1. Let b be -1 - -1 - 1 - (-4 + 1). Let w(q) = -q**2 + 2*q + 4. What is b*t(m) + d*w(m)?\nAnswer: -m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 995 (base 14) to base 12.\nAnswer: 111b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 731 or 628?\nAnswer: 731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 121212002?\nAnswer: 121211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37032 + -25772. List the prime factors of u.\nAnswer: 2, 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/50 of a millisecond?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/6316 and 69\/88966.\nAnswer: 280954628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/3, 3, -51\/7, 2\/5?\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 147432 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 2*g, -5*g = -s + 9. Suppose 16 = 2*u - 5*d, 0 = -u + 4*u - 2*d - 24. What is the highest common factor of s and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -7*t + 53, 11 = 3*g + t - 12. Solve -2*a = -g*a + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.05 + -446173?\nAnswer: -446171.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 78, 105, 114, 99?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -8*w + 1104985. Let z(m) = 22*m. Calculate z(x(d)).\nAnswer: -176*d + 24309670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 257500747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or -197\/4?\nAnswer: -197\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4505622 is divided by 512?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 10*n**2 + 10*n - 11. Let r be o(-8). Let j = 33 - r. What is the units digit of (18\/j - -2)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uumu when four letters picked without replacement from ummummuummuuu.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*n - 2*n - 35 = 0, -3*p - n + 17 = 0. Sort 1, -5, p in decreasing order.\nAnswer: p, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 2*x**2 - x + 9. Let y be g(3). Which is smaller: 2\/117 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3\/5 (b) 304\/5 (c) -14 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -21. Suppose -4*d + 379 = y, -y - 5*d = -j*y - 382. Let l = y + -210. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/5 + 88*c**2\/5 - 1178*c\/5 + 4332\/5 = 0 for c.\nAnswer: 6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6)\/(-288))\/(2\/(-354)) and 55\/512.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24498181626+32\nAnswer: 24498181658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 0*r**2 + 0*r**3 + 0 - 1\/60*r**5 + 1\/90*r**6 + 0*r**4 + 2*r. Factor w(j).\nAnswer: j**3*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91766 or 1.3?\nAnswer: -91766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/31)*k\/(k*k**(2\/41))*k assuming k is positive.\nAnswer: k**(1291\/1271)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 - 3*a**3 + 3*a**3)*(-1 - 1 - 1)*(28 - 8 + 22)*(-24 - 7*a + 24).\nAnswer: 1764*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((5*(2*sqrt(243) + sqrt(243))**2 + (sqrt(243) - (-1*sqrt(243) + 5) - sqrt(243))**2)*-5 + 4).\nAnswer: -900*sqrt(3) + 112022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/9)\/((-2)\/732*2). Suppose 4*q + 2*a = -0*q + u, -3*q + 84 = -a. Calculate the highest common factor of 58 and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 287, -2\/9, 779, 5, -5 in decreasing order.\nAnswer: 779, 287, 5, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 2*g**3\/3 + 17*g**2\/2 - 12*g - 14. Let u be t(-9). Let y(m) = m - 2. Let w(b) = -b + 3. What is u*y(f) - 2*w(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57463, -57467, -57471, -57475, -57479, -57483?\nAnswer: -57487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l. Let o(b) be the first derivative of b**2\/2 + 2. Let n(g) = 5*g + 0*g - g. Let j(a) = -n(a) + 6*o(a). Calculate j(t(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 3 - 4)*(1 - 3 + 1)*(-12*m**2 + 18*m**2 - 11*m**2 + (-m + m + m - 2)*(-2*m + 3*m + m)).\nAnswer: -63*m**2 - 84*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-109 - -164) + -58 + (-2 - 18)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (104*u - 104*u + 19*u**2)*(-12 - 11 + 2)*(5*u + 4*u + u + 2) to q*u**2 + v + y*u**3 + m*u and give y.\nAnswer: -3990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) -2\/7 (b) -0.2 (c) -5\/6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1082334 and -81\/88.\nAnswer: 4329336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from utlclwlwwlccclw?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p**2 + p - 2. Let i be q(4). Let y = i - 88. What are the prime factors of (y\/9)\/((-6)\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -21*t - 2. Let d be x(-5). Suppose o - d = 4*a, -4*a - 16 - 69 = 5*o. Let r be 10\/(-4)*20\/a. Are r and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 244, 2\/3, -4, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115399\/3 - 51237259\/1332. What is the common denominator of v and -83\/3996?\nAnswer: 3996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 + 1170 = l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/5480 and 53\/1096.\nAnswer: 5480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 - (54 - (33 - -5)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -265*1\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4774 - 11.6231.\nAnswer: -4785.6231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 462 and 44170.\nAnswer: 1457610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127 - 313 - 963 - 389 + 192)*(38*b**3 - 15*b**2 - 76*b**3 + 40*b**3).\nAnswer: -2692*b**3 + 20190*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/871 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -237610.\nAnswer: 1\/47522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61797639.\nAnswer: 3, 73, 269, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d*w**5 + 190*d + 171*w**5 + 3*w**2 wrt w?\nAnswer: -60*d*w**2 + 10260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*i - 9*i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -11 - (2 + -7 + 8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 14*r**2 - 14*r - 11. Let g be k(15). Suppose -g*t + 8*t + 20 = a, t = 3*a - 71. What is the highest common divisor of a and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w - 2. Let g be f(-1). Solve 0 = c - 5*k - g, 0 = c - 2*k + 3*k - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 10. Let m(i) = i**2 + 6*i + 50. What is -2*m(c) - 11*t(c)?\nAnswer: -2*c**2 - c + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/689 and 37\/300820.\nAnswer: 15943460","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 2923006, 2923000, 2922994, 2922988, 2922982?\nAnswer: 2922976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 2*c - 1. Let b be -2 - (-4 + (1 - -2)). Let f be d(b). Let l = 0 + -1. Which is bigger: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - p + 3 = 0, 3*c - 1189 = 2*p - 1200. Which is smaller: -4\/2039 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88716332?\nAnswer: 2, 2503, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1191 = 35*r - 2799 - 3397. Solve -d = 5*l - 5, d - 136 + r = l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 6*q + 3. Let g(t) = t**2 + 4*t + 2. Let k(r) = -2*a(r) + 3*g(r). Let m(w) be the first derivative of 47*w**3\/3 + 34. Give m(k(b)).\nAnswer: 47*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 10*c**2 - 304*c + 768.\nAnswer: 2*(c - 8)*(c - 3)*(c + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2158, -3, -177?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/48)\/((-5)\/(-180)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 48. Let f(o) = -o**3 - 11*o**2 + 15*o - 132. Let w be f(-13). Solve -w + u = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -710*r + 879*r - 261*r + 1211*r + 885*r in the form y + f*r and give f.\nAnswer: 2004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -477\nAnswer: -1\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 4*c - 29. Let x(p) be the first derivative of -p**4\/4 - 5*p**2\/2 + 29*p + 18. Calculate 5*q(l) + 4*x(l).\nAnswer: l**3 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -278497 and -278551 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 41 = -15. Let u = c - -18. Suppose -5*p = -p - 112. Calculate the greatest common divisor of p and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410*w - 365*w = 259695. Is w a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 1.5\nAnswer: -0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/2195 + 81232\/37315. Find the common denominator of -73\/26 and a.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30362407041 minus 424?\nAnswer: 30362406617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300245?\nAnswer: 5, 11, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 621*c + 6 + 0 - 300*c to x*c + w and give x.\nAnswer: -921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370454057.\nAnswer: 9649, 38393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87\/4*d**4 + 5376 + 447\/2*d**3 + 3\/4*d**5 - 96*d - 852*d**2 = 0 for d.\nAnswer: -2, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*x + 21 - 211 = 233 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11581 - 23157 + 11576 + 11417*t to the form s + m*t and give m.\nAnswer: 11417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1289032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 - b + 46. List the prime factors of n(0).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -4.4. Let p = o + -1. Let j(n) = n - 3. Let c be j(8). What is the second smallest value in p, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**2 + 250*n - 1267. Give w(5).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5665*c - 442609. Determine d(-78).\nAnswer: -739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -238930 and 0.039.\nAnswer: -9318.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 12\/19 (b) 5 (c) 0.4 (d) 97 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, s: 12}. Give prob of sequence sh.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725 + 572 = 57*w + 1215 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fslfffflsfccffl. Give prob of sequence lc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2 - 0) + 2)\/(-2). Suppose -4*b + l - 110 = t, -5*l + 1 - 11 = 0. Let r = -17 - b. What is the remainder when 32 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 21883050.2 to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5471 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 9. Let a be (2 + c)*(-6)\/(-4). Solve 4\/3*b**2 + 2\/3*b + 2\/3*b**a + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -33927 and -33925 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 93 + d52?\nAnswer: de5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/((a\/(a**5*a)*a*a)\/a)))**11)**(-1\/40) assuming a is positive.\nAnswer: a**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrernknjrdnrejrrddj. What is prob of picking 2 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/7100 and 59\/1110?\nAnswer: 788100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*v**2 - v**3 - 49*v**2 + 93*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4 + 15\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 7:46 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/10 - (-405)\/54. Solve -y*t = 4*t - 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64482349187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20118 - 20119.0025. What is r rounded to two dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4168 = -2*b - 5*m - 1420, 3*b - 4131 = -3*m. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osso when four letters picked without replacement from {o: 9, s: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527404 is divided by 1043.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {l: 1, b: 2, u: 1, t: 1, m: 1, y: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1159*i + 4. Let m(w) = -1156*w - 6. Determine 4*f(c) + 3*m(c).\nAnswer: 1168*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 8*b**2 - 2*b + 1. Is u(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111 - -17. Suppose 0 = 4*s + 2*r - 174, -2*s - c = -5*s - 4*r. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -14. Let f(m) = m**3 - 3*m**2 + 3*m - 2. Let b be f(v). Suppose -2*z - 9 = -k, 2*z + b = 2*k - 5. Put k, 1, -1 in increasing order.\nAnswer: -1, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15904 divided by 12?\nAnswer: -3976\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-72)\/(-150))\/((-39)\/520) and -21\/295.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23255588.\nAnswer: 2, 269, 21613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4088 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 2*k + 4 = 6*k, 4*j - 281*k - 2 = -280*k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6216, 12462, 18828, 25410, 32304, 39606, 47412, 55818?\nAnswer: 64920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25365)\/741 - 84) + 118?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/255 and -43\/170.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 102*d + 406. Let q be m(-4). What is the nearest to 1 in q, 0.5, -4, -7\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 2:41 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 178.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33606, -67155, -100652, -134097, -167490, -200831, -234120?\n\"Answer: 26*w**2 - 33627*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x\/(x**(2\/7)\/x))*x**(4\/5)*(x*x**(1\/3))\/x*(x**(2\/5)\/x)\/x*((x*x**(2\/11))\/((x*x**(-9\/2))\/x))**(1\/8) assuming x is positive.\nAnswer: x**(-27179\/18480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-70)\/50 - 1) + 3. Which is the closest to -0.1? (a) 18 (b) 4\/5 (c) 1\/5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -0*t - 5. Sort 5, 6, t, 0 in increasing order.\nAnswer: 0, t, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 412*z - 73. Let s be r(6). Let y(g) = 2399*g - s*g - 15*g**2. Let k(l) = -3*l. Calculate k(y(w)).\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = g - 48, o = 3*g - 142 - 2. Calculate the greatest common factor of g and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100010 + -10?\nAnswer: -1111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**3*k**2*w - 23*i**3*k*w**3 - 1690*i**2*k**2*w**3 + 164*i**2*k**2 + 2*i*k**2*w + 12*i*k*w**2 + i*k*w + k**2 wrt w?\nAnswer: -138*i**3*k - 10140*i**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (209*x - 35*x + 49*x - 2)*(-2*x + 0*x + x).\nAnswer: -223*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssdssvdssiwssv. What is prob of picking 2 v?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.9? (a) 4 (b) -7.15 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 5) + (-7 + 6 - -9) + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-26)\/(-78))\/(9\/(-1107)). Sort -5, 3, o, 4.\nAnswer: o, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, -10, -5, -1613.\nAnswer: -1613, -145, -10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 30775 = -r + 2*r, -z + 5*r = -6155. Suppose 7*t = 10*t - l - 3682, -5*t = 2*l - z. What are the prime factors of t?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, -4.7, 0.3, -11159?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -44. Let h be -10*(c + (-21)\/6). Let u(k) = k**2 + 4*k + 6. Calculate u(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 - -3.07. Let o = -4 - -3. Is o bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v - 26. Let d be p(-7). What is the second smallest value in -10, -2, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*z - 71 = 0, 3*z = 4*r - z - 64. Sort 0, -3, r.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 542 + 1236. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6b6a0 - -3?\nAnswer: 6b6a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2 + 2*b - 2*b + 5*b + b**2. List the prime factors of z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62639.32 nanometers in millimeters?\nAnswer: 0.06263932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -926*z - 933. What is c(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 1 + 2 + 1 - 6 + (3 - 5 + 3)*(0 + 6 - 4))*(15*p - 172 - 17*p + 60) to i*p + v and give v.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18542334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2239?\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1053 + 16300?\nAnswer: 15236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 - 2.01. Let w = -1\/116 - 225\/812. Let c = -65 - -68. What is the third biggest value in c, m, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 p, and 1 r when three letters picked without replacement from {j: 3, p: 4, r: 1, c: 4, a: 1, t: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 7. Let l be z(-10). Suppose -n - l*n - 48 = 0. Let q = n - -58\/5. Which is smaller: -6 or q?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Let q(c) = -4*c + 1. What is the lowest common multiple of a and q(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -1, -2.\nAnswer: -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2503*m + 24910. What is d(-10)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20956?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*-4*(-3 + (sqrt(475) - (sqrt(475) + -1 - sqrt(475)) - sqrt(475)) + sqrt(475) + sqrt(475) - (2 + 1 + sqrt(475))**2).\nAnswer: 960*sqrt(19) + 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 3*m + 545 = -2*w, 3*w = -2*m - 218. Is -108 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19.09411 millennia?\nAnswer: 229129.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = -123*u + 201*u. Let p(x) = -x**3 - 3*x**2 + x + 6. Let v be p(-3). Factor 1\/4*y**u - 3\/2*y**3 + 1 + 13\/4*y**2 - v*y.\nAnswer: (y - 2)**2*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1137 is divided by (2 + -1)*(39 + -32) + 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 + -65. Suppose -m*d = -h + d + 164, 0 = -2*h + 4*d + 332. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -542*f**2 + 4794*f + 760. Determine o(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*y + 1. Sort 5, -5, y in ascending order.\nAnswer: -5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 242828 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 32.13. Let h = 0.148 - m. Round h to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 11 - k - 2 - 5. Give b(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 402 and 2814?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*u**3 + u**2 - u - 5*u**4 + 0*u - u**2 + 83 - 80 as z*u**3 + f + k*u**2 + b*u + j*u**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -0*s. Which is the biggest value? (a) s (b) 0 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2))\/((-10)\/35)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*h - 60*h + k = -199, -4*k = 16. Solve 0 = 29*w + h - 297 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/2)\/((-90)\/(-24)). What is the nearest to 0.1 in -2, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1320 = 5*u - 470. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 - 29*m - 2. Determine s(-7).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-8)*-5)\/(3\/(-12)). Suppose 4*x = -n*u + 7381, u = -3*x + 704 + 781. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -4 + 9 + 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -153*(16\/(-20))\/((-30)\/(-25)) and 85.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f - 19*f**2 - 3*f + 18*f**2. Let t(s) = -3 - 6 + 6*s + 9. Determine i(t(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.92 + 1.528. Round h to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 - 3*y**4 - 3*y**4 - y**4 + y**4 + 3*y**4 + (0*y**3 + 3*y**3 - y**3)*(2*y - 3*y - y) + 5*y**4 + 2*y**4 + y**4.\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 234 = -7*y. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 283877 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1541, -1569, -1597, -1625, -1653, -1681?\nAnswer: -1709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5018900 rounded to the nearest 100000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -3, -42, 1\/3 in descending order.\nAnswer: 20, 1\/3, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-1274)\/12 + (-1)\/(-6). Let q = 487 - v. Does 36 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 198*m + 2146. Let o(j) = -22*j - 238. Determine 2*h(a) + 19*o(a).\nAnswer: -22*a - 230","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15103, -30207, -45313, -60421, -75531, -90643, -105757?\n\"Answer: -h**2 - 15101*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 16*l + 62. Calculate the lowest common multiple of 14 and h(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(126\/(-12)))\/((-4)\/(-18))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838831 is divided by 54075?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3 + 2 = 0. Let o(n) = n**2. Let g be o(t). Suppose 3 + g = -4*h. Sort 0, -4, h in decreasing order.\nAnswer: 0, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(22)*5)\/(2*sqrt(162)))**2.\nAnswer: 6875\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2741276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from csskkbbkbsbbcsskss.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 762 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/4 - (18 + 30264\/(-1440)) and 22\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18097999979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*h + 377*h - 4281 - 1287 = 0 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 652 + 384 = 28*b. Calculate the lowest common multiple of b and ((-18)\/12*2)\/((-9)\/30).\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10581 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 44, -2, -3 in decreasing order.\nAnswer: 44, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 13*j. Let t(p) = 75*p**2 + 2. Give o(t(r)).\nAnswer: 975*r**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -497 - -509. Solve 0 = 5*p - l*p + 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-2))\/5 - (-42)\/10. Suppose 0 = f*t - b - 12, 4*t - 12 = -2*b - 0. Solve -2*x = -z, -4*z + t*x - 4*x = -9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 19*x - 2019 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1165831.0629 take away -3.6?\nAnswer: -1165827.4629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*w**5*x + 2*w**4*x + 2*w**3*x - 109*w**2*x wrt w.\nAnswer: -300*w**2*x + 48*w*x + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*t - 1028, 514*f - 517*f = 3*t - 768. What is the highest common factor of 60 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 34\/15 (c) -1\/6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 3:22 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67125.88 minutes to microseconds.\nAnswer: 4027552800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 6. Let y(u) = 1. Let l(z) = -j(z) - 6*y(z). Let a be l(-4). Let h = 6 + -9. Put a, 4, h in decreasing order.\nAnswer: 4, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ca7b46 (base 15) to base 2.\nAnswer: 100100110010101101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 - -3.1000052. Round u to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2762, 5407, 8052, 10697, 13342?\n\"Answer: 2645*t + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 26. Let d be (1\/(-3))\/((-7)\/420). Let s be z(d). Let c be (2\/s)\/((-15)\/(-450)). Solve c = o - 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/91440 and -25\/82296.\nAnswer: 822960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*z + 3)*(-3 - 2 + 4 - 2 + 3 - 3 + 4 + 2 - 4 + (0 + 0 + 2)*(-1 - 1 + 0) - 5 + 4 + 2 + 3 - 3 - 3).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/3*(-575)\/(-25875).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -20. Suppose -3*p + 4*k = 16 + 12, -42 = l*p - 3*k. Let o = 26 + p. Solve -5*b = 6 + o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1116\/1736*((-48)\/54)\/(-2)*6.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 7:40 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5 - 1. Let q(n) = 2*n - 4. Let s be q(d). Is (19\/(-3))\/(s\/(-12)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21755, -43501, -65247, -86993, -108739?\n\"Answer: -21746*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(((-11)\/2)\/(-11))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -142\/9 (b) 2 (c) -0.2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 313879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x - 1. Calculate the remainder when s(-2) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(490)*1) - (0 + (2 + sqrt(1872) - sqrt(1872)))**2.\nAnswer: -4 + sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3786803?\nAnswer: 3786803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*u + 3 - 18 = 0, -u - 3 = 3*q. Suppose q*z + 4*z = -n + 216, -5*n - z = -985. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2538, 5107, 7676, 10245, 12814, 15383?\nAnswer: 17952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 352573305 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11, -4, 11, 34, 65, 104, 151?\n\"Answer: 4*z**2 - 5*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -551936, -551952, -551994, -552074, -552204, -552396, -552662?\n\"Answer: -2*t**3 - t**2 + t - 551934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*g - 580 = 101*g - 27*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 58562 = 2*t - h, -t - 3*h = 29306. Let a = 87109 - t. What is a rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 19*g**3. Let w(y) be the second derivative of 7*y**5\/5 - 2*y - 363. Let b(u) = -2*u - 1. Let x be b(2). Determine x*w(h) + 7*i(h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 8:25 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -8395 <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -347 - -351. Suppose -r*o + 4*v + 1785 = o, -o + v = -356. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -83127*x**4 + 444572 wrt x.\nAnswer: -332508*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2093*w**5 + 2*w**4 - 8082*w**3 - 28771568*w?\nAnswer: 41860*w**3 + 24*w**2 - 48492*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 1)*-3.\nAnswer: -30*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -10 - 20. Solve 0 = -r + 4*q - b + 16, -11 = 4*r + 5*q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3232858 to the power of 1\/2, to the nearest integer?\nAnswer: 1798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*(3894\/132 + -28).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + -8 + 9 + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*f + 18, 29 = 7*m - 6*m + 5*f. Solve -2*b - z + 2 = 0, b - m*z = z + 23 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2376 + 2*x**2 + 2408 + 2*x - 3*x**2 to the form m*x**2 + k*x + h and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5*n + 951, 2*d - 4*n + 589 - 2505 = 0. Let c = d - 448. What are the prime factors of c?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -360171, -720366, -1080595, -1440858, -1801155, -2161486, -2521851?\nAnswer: -2882250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -4 - -7 - (10 - 220\/32).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + -bb34?\nAnswer: -bb43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2682511?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-9 - -12 - 6) - -11\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6659665 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 + 6*b**5 - 7*b**5 + (14*b - 2*b - 2*b + (-b + 5*b - 2*b)*(3 - 1 - 4))*(75*b**2 - 11*b**4 - 75*b**2).\nAnswer: -67*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.71 - 1150240878525.\nAnswer: -1150240878524.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 10*l**2 - l - 9. Let x be a(-10). What is the smallest value in 0.036, 5, x?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 8*r**2 - 7*r + 6. What is the remainder when 118 is divided by n(9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-15)*(6 - 1). Let m be (1 + (-15)\/6)*a. Let h(x) = x**2 + x + 4. What is h(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 5*a + 24. Let o be z(8). Suppose 14 = j - 3*b, o = -0*j - j - 4*b - 14. Solve -2*h = -j + 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000029175 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 116644 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 1.22, -256.1, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6025549\/647601 + 1294\/139. What is the common denominator of 53\/24 and d?\nAnswer: 37272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -157?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 20*k**2. Let o(m) = -5*m + 8. Let d be (-60)\/(-5)*(-4 + 8 - 5). Let p(l) = 2*l - 2. Let r(b) = d*p(b) - 3*o(b). Determine r(i(n)).\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(3\/5))**(-27)*(w*w**(-11)*w)**(-16))**(18\/5) assuming w is positive.\nAnswer: w**(9072\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*q**4 + 51576500*q**3 - 2*q + 439978268.\nAnswer: -12*q**3 + 154729500*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-146)\/(-520) - (-112)\/64?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 118143 + 22?\nAnswer: 118165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2 = m - 5, 2*o + m - 7 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 444*n + 433*n + 175*n - 687*n to the form d*n + i and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 13600*n**2 + 125*n - 1649. Let z(w) = 13598*w**2 + 107*w - 1646. Let p(r) = -6*b(r) + 7*z(r). What is the second derivative of p(d) wrt d?\nAnswer: 27172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3 + 50\/9*v + 2\/9*v**3 - 28\/9*v**2.\nAnswer: 2*(v - 12)*(v - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 322 - 303. Sort -0.1, -0.3, m in ascending order.\nAnswer: -0.3, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 11:01 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 432.5 - 432.4. Suppose z + z = -10. Let d = -0.03 + 0.03. What is the closest to j in 0.3, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3892796 divided by 68.\nAnswer: -57247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/8)\/(g*g**(-9)))**22*(g**1*g)**11*(g**(-1))**(-31) assuming g is positive.\nAnswer: g**(905\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2893095, 2893098, 2893101, 2893104?\n\"Answer: 3*j + 2893092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 * -1099.\nAnswer: -230.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 5. Let c(x) = -5*x + 31. Let z be c(8). Is (f - -29) + z\/3 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8076 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170 and (-10)\/(-4)*((-1)\/(-1) - 12 - -45)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.7656 rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117 and 182?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12062332 - -200?\nAnswer: -12062132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 422847 to the power of 1\/2, to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-7 - (1 - 7) - -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00072020887 to 6 decimal places.\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*g*y**4 - 2*g*y**2 - 580*g*y - 2*y**4 + 36840*y**3 + 9*y**2 - 98*y wrt y.\nAnswer: -816*g*y - 48*y + 221040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-11)*g*g**11)**(-9)\/((g\/(g*g**0*g))**(1\/21)*((g*g**2)\/g*g*g)**(-16\/7)) assuming g is positive.\nAnswer: g**(-185\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 19*g - 56. Determine h(-11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 66075*-16.901\nAnswer: -1116733.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**7\/2520 - u**6\/144 - u**5\/15 - 7*u**4\/12 - 4*u. Let b(d) be the third derivative of h(d). Determine b(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 575 = 4*y + 8*k, k = -y + 143. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**10*w*w)\/w*w**0 assuming w is positive.\nAnswer: w**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4114*q**2 + q - 4387?\nAnswer: 8228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-4)*a)**50 assuming a is positive.\nAnswer: a**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*b - 40, b = 4*p - 3*b + 68. Let j be (-22)\/(-24) + p\/48. What is the nearest to 1 in -3\/4, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23434 (base 6) to base 8.\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(833))**2*-1 + (sqrt(17) - sqrt(34)\/(sqrt(2) + sqrt(8) + sqrt(2) + sqrt(2) + sqrt(2))) + (0 + sqrt(425) + sqrt(17) - sqrt(17)) + sqrt(17).\nAnswer: -834 - 43*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/5)*b*b**(-2))\/((b*b**(-2\/3))\/b**(-1\/7))*(b**(-1\/5)*b*b**(-5)\/b)**34 assuming b is positive.\nAnswer: b**(-18551\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 21625*v**3 + 21433*v**3 - 2 - 4 - 2*v**2.\nAnswer: -192*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9472064 - 9547244.993. Let d = 75116 + s. Let u = d - -65. Round u to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33430701.\nAnswer: 3, 1777, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h - 2 = 39*h + 10. Solve 4*c + 8 = 3*p, -9*p = -10*p + 3*c + h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111000111 + -1?\nAnswer: 10111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 16756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14734 or -14737?\nAnswer: -14737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -0.06, 33, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41929070.\nAnswer: 2, 5, 29, 144583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 6. List the prime factors of (j\/(-2))\/(-3)*-20.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10055 - -10059. Let v = 0.2 + 0.8. What is the second smallest value in v, 0.5, 1.3, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 90150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -7 (b) 1\/17 (c) 0.53 (d) -2 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + p - p + (5*p - 2*p - 4*p)*(3 + 2 - 2) + p + 4*p - 4*p)*(-p + 7*p - 3*p) to k*p + v + m*p**2 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 8*k. Suppose -3*o + 9*o - 36 = k. Solve -2*f = 4*y + o, -2*y + f + 3 = 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.67065 years in months?\nAnswer: 56.0478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 560 and 740831980.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z**2 - 7 + 7.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/3*8*(-69)\/(-460)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a - 119. Determine g(13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-17))\/f*f*f)\/f)**(-36)\/((f*f**(-1\/5)*f)\/f*f*(f*(f*f\/f**(15\/2))\/f)\/f) assuming f is positive.\nAnswer: f**(5807\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 44*a + 425. Let n be u(-14). Sort 3, 1, n, 4, 629 in decreasing order.\nAnswer: 629, n, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 24*i - 4. Suppose 41*w - 118 = 87. Let n(m) = 25*m - 5. Determine w*d(x) - 4*n(x).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 1. Let n(a) = a**2 - 3*a - 13. Let t(p) = n(p) - 6*r(p). Let b(z) be the first derivative of t(z). Is b(4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 25 = -5*w, 5*a = a - 5*w - 7. Let f be (0 + 6)*a\/4. What is the remainder when (13\/f)\/(3\/9) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 2*s**2 - 1. Let j = 11 + -4. Suppose 0 = -9*y + j*y - 2. What is the units digit of r(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1381550.822 - -1146\nAnswer: 1382696.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*a**2 + 18*a + 7*a + 34*a**2 + 47*a**2 wrt a.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 2388?\nAnswer: 76416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -40. Let r = 0.22 + 0.08. Which is the closest to n? (a) r (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*o - 58 = 0, 5*p - 53 = 4*o + 7. Suppose 0 = 3*d - 11*d + p. Suppose -d*m - 2*w + 1565 = m, 0 = -2*w + 2. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/2)*a*a*a\/((a*a*a*a*a**(2\/39)*a*a)\/a) assuming a is positive.\nAnswer: a**(-199\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11878 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4926*f + 24642. Give l(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 3\/5 (c) -0.03 (d) -62\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 + 95*v**2 - 180*v - 8. Calculate k(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27519)\/(-138) + (-1)\/(-2). Let v = 200 - q. Let m = 11 - 10. Is v smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 - 235 - 120)*(-6*w + 2*w - w)*(-2 - 4 - 4) to j*w + s and give j.\nAnswer: -16700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s + 3. Let b be h(4). Does 10 divide ((-50)\/7)\/(3\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2731145846 divided by 2.\nAnswer: 1365572923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.242 + 0.128. Let g = -26343907.3699903 - -26343906. Let x = i + g. What is x rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 2. Let y = -3 - h. Let a = -47 - -49. Put a, y, -2 in ascending order.\nAnswer: -2, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/14)\/(180\/126).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 j when four letters picked without replacement from xjfwtxtjwjbxfw?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33232 (base 6) to base 8.\nAnswer: 11024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -77278 + 109106?\nAnswer: 31828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12924 and 1071.\nAnswer: 1537956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 k, and 1 p when four letters picked without replacement from {k: 2, g: 4, p: 4}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 136 = 3046. Let u = h + 985. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/13)\/x**(-19)*x\/x**7*x\/((x*x**(-6)\/x)\/x*x))**(-2\/139) assuming x is positive.\nAnswer: x**(-512\/1807)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -693*n**2 + 220*n**2 - 366*n**2 + 206*n**2 - 1048*n**2.\nAnswer: -1681*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 374237 or 374205?\nAnswer: 374205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/11)\/l**(3\/2))**33 assuming l is positive.\nAnswer: l**(-135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180574062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 4:17 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 2*p**2 + 20*p + 21. Give k(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 1 + 1\/4*s**4 - 1\/2*s**2 + 2*s - 2\/3*s**3. Factor c(i).\nAnswer: (i - 2)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 6159.\nAnswer: -5\/2053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 11)\/4 + 10. Suppose -s*m + 4*m = 0. Let o(q) = -35 + 35 - q + m*q. Let w(g) = -g**2. Determine w(o(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98044 is divided by 265?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3340609 is divided by 6831.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 158 = 58. Let l = u - -12. Suppose 20 = -4*w + l. Let q(g) = g + 1. What is q(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144323 + 1530004818.\nAnswer: 1530149141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*q + 1054, -g + 4*q - 1746 = -6*g. Is 24 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -69*w - 586. Let k be n(-8). What is the second biggest value in k, -1\/5, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-4 - (-1 + -7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(27) + 0.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -0.08, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 <= -128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-5))\/((351\/650)\/27). Let x be (1\/(4 - 6))\/((-2)\/s). Solve 0 = 5*b - 6*b + x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 12:56 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 768953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5888323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.93 + -0.43. What is the nearest to 0.1 in 0.1, d, -18, 5\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2592*z**2 - 3*z - 6 - z + 4*z - 2587*z**2.\nAnswer: 5*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 4*j - 7. Let k be x(-6). Suppose k*a - a = 8. Differentiate w**3 + 1 - 1 + a wrt w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-704)\/(-8) - ((-12)\/(-10))\/(322\/2415)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*j + 21 - 0, -u + 14 = -2*j. Suppose -6 = 2*v - u*x, x = -2*v - 2*v - 3. What are the prime factors of (7*(0 + -3))\/v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - 3*d**2 - 5*d**2 + d**2 - d + d + (3 - 1 + 0)*(0 + 0 - 2*d**2).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.39 - -0.736\nAnswer: -0.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656430510.\nAnswer: 2, 3, 5, 21881017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 0*f + 5*f)*(4*f + 7*f - 15*f) + (2*f - 2*f - f)*(-f + 2*f - 3*f) - 2*f**2 - 6*f + 6*f in the form a*f**2 + n + g*f and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4))**(-19)\/((y**(1\/7)\/y*y)\/(y*y\/(y*y\/y**(-1\/13)*y))) assuming y is positive.\nAnswer: y**(-2173\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00264029 to five dps.\nAnswer: 0.00264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 473445 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/4*d**5 - 32*d**3 + 7*d**4 + 93\/2*d**2 - 115\/4*d + 13\/2 = 0. Calculate d.\nAnswer: -13, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296\/222*3\/(-14)*(-35)\/(-70)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 1023 in increasing order.\nAnswer: -2, 1, 1023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/944 and 17\/565869000.\nAnswer: 1131738000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183382749?\nAnswer: 3, 11, 23, 80537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*a*u*v**3 + 135*a*u - 6*a*v - 12*u + 3*v**3 wrt v.\nAnswer: 264*a*u*v**2 - 6*a + 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -20*a**5 - 188*a**4 - 72*a**3 = 0?\nAnswer: -9, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -438711011*y**3 - 19047674*y + 3 wrt y?\nAnswer: -2632266066*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjemejqqqzfe. Give prob of sequence qqqq.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3520856021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1432*h**2. Let l(b) be the first derivative of b**3\/3 - 569. What is l(x(a))?\nAnswer: 2050624*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065014 <= 1065014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -105\/2*f**2 + 47\/8*f**3 - 1\/8*f**4 - 338 - 793\/2*f = 0. What is f?\nAnswer: -4, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 46?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4533*f - 1454*f + 257*f + 46*f - 3617*f)*(-f + 0*f - 4*f).\nAnswer: 46505*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, e: 2}. What is prob of sequence eete?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15341*k + 14996*k - 7935 = 0 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*r**2)*(2 + 2 + r + 103013*r**2 - 102999*r**2) to y*r**4 + d*r + p*r**3 + g*r**2 + t and give y.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 169*(0 - 1)*(32 - 33). Suppose -g - 521 = -5*p, 3*p - 2*g - 145 = o. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 9. Let v = b + 11. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 19 = 2*k. Determine h, given that -460*h**3 - h**5 + 458*h**3 + 0*h**5 - 3*h**k = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from wkkkt?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3413 (base 12) to base 2\nAnswer: 1011010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrxkxorddr. Give prob of picking 1 k and 1 x.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/(72\/(-432)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1921*d. Let w(u) = -6*u**2 + 30*u. Calculate c(w(a)).\nAnswer: -11526*a**2 + 57630*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -411669297 divided by 10179.\nAnswer: -40443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 13*f - 1. Let v(i) be the first derivative of -27*i**2\/2 - 9*i - 70. Let y(u) = -30*u - 11. Let s(t) = -6*v(t) + 5*y(t). Determine 4*g(j) - 5*s(j).\nAnswer: -8*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -193 - -195. Let z = -2 - -3. What is the tens digit of (p + 12)*z\/((-4)\/(-70))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 8*f - 10*f. Let h be f + 2 + -5 - (-10)\/15. What is the closest to 2\/3 in 6, 3\/2, h?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3345.256 take away -2?\nAnswer: 3347.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 5*r - 12, 5*t - r - 4*r - 30 = 0. Suppose -t*v - 2*h + 20 = 0, h = 2*v - 5 - 6. Suppose 2 = p + v. What is the nearest to 2\/7 in 0, 1, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6680.1 - -6680. Let z = 7 + -4. Sort z, 7, q in increasing order.\nAnswer: q, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43177 in -29, -3, -0.3?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 - 13.5.\nAnswer: -13.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-4\/19)))**(33\/4)\/((m*m**(-11\/5)*m)\/(m\/m**(-2\/13))) assuming m is positive.\nAnswer: m**(-473\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/5 - 1958*g**3\/5 + 482362*g**2\/5 - 2810578*g\/5 - 658980 = 0.\nAnswer: -1, 7, 450, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 a when four letters picked without replacement from yyyuuaajva?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - (sqrt(2448) + 4 + (0 + sqrt(2448))**2 + sqrt(2448))) + -5 + -2 + ((sqrt(34) - 2*sqrt(204)\/sqrt(6))\/(sqrt(128) - -1*sqrt(128)))**2.\nAnswer: -629487\/256 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + 197 + -108 + 38?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109112?\nAnswer: 2, 23, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaaaaxaaaaxaaabxaab. Give prob of picking 1 b and 1 a.\nAnswer: 26\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 + -3 - (-65 + 43)) + -5 + -1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 12 + 2. Solve -2*f + d + 1 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-67*f - 104*f + 63*f)*(-1 + 9 + 0) as y + j*f and give j.\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 1813 = -15333. Suppose o = -4*o + 165. What is the remainder when o is divided by a\/286 - (-2)\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4\/3*w**2 + 0 - 5\/3*w**3 + 1\/3*w = 0.\nAnswer: -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1. Let x(u) = u**2 - 6*u - 2. Let r(a) = -3*d(a) + x(a). Let k be r(7). Suppose -k*f + 4*l = -106, -f + 4*f - l - 149 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279.679mg in micrograms?\nAnswer: 1279679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxk when three letters picked without replacement from mmkkcmkckmcxmkmcok?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 - -165. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 3*y + 9. Let t be 1\/(y\/(216\/(-2))). Let u = t - -61. Solve -4*c - 7 = 3*l, -5*l - 6 - u = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 4:19 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2. Let q(a) = 9*a - 33. Let v(f) = f - 4. Let m(x) = 4*q(x) - 33*v(x). Determine z(m(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 5. Let o be d(-5). Suppose p - 8 = -2*k - o*k, 0 = 5*k - 4*p - 7. Factor -5*g**3 + 2*g**3 + 4*g**k - g**2.\nAnswer: g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-34))\/(((-579)\/3860)\/((-6)\/(-10)))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 589.0738 + -589. Round g to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/61215 and 109\/27825.\nAnswer: 306075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k**2 - 7*k**2 + 0*k**2 + 4 - k**3 - 1. Determine o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 67 - 146. Suppose 2949 + z = 6*p. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30087*d*i - 220730064*d - 140*i wrt i.\nAnswer: 30087*d - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -10\/5399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 76 = -p, -3*a + 382 - 2 = 5*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8702 is divided by 2158?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 6*k = k - 10, -3*f - k = -22. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 1 - (-6 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -11 (b) -28 (c) 0.3 (d) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 31. Suppose 0 = c + 16 - 18. Suppose c*y - 10 = 3*f, 0*y + 6 = 2*y - f. Let w(h) = 2*h**3 + 2. Let b(n) = 8*n**3 + 9. Give p*w(v) + y*b(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -3810.\nAnswer: 2\/1905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 16*p - 89. Let q be y(23). What is the highest common divisor of 1147 and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 6*g - 5*g. What is the remainder when 21 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22386 and 8861412?\nAnswer: 115198356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 49*j**4 - 3*j**3 + 8*j - 5. Let v(i) = -97*i**4 + 5*i**3 - 15*i + 11. Let a(h) = 5*k(h) + 3*v(h). Find the second derivative of a(l) wrt l.\nAnswer: -552*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - 2*x + 0*x)*(-23 + 19 + 12)*(283 + 19*x - 283) to the form q*x**2 + b*x + o and give q.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 + 9 = 9*v. Let l = v + 47. Factor -2\/3*q**l - 2\/3 - 4\/3*q.\nAnswer: -2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0072482687 to six decimal places.\nAnswer: 0.007248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = s - 256. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(35) + 3*sqrt(140)\/sqrt(4) + sqrt(35) + sqrt(140)*5)\/((sqrt(5) - sqrt(160)\/sqrt(2))*5)*1.\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*l - 18*l - 1693259 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**3 - 77*n**2 - 499*n - 642.\nAnswer: (n + 2)*(n + 3)*(6*n - 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in 24.57, -4\/9, 0.04, 8, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*k - 1512, 5*s + 469 - 2355 = -3*k. Suppose -5*a - 61 = -s. Suppose a = -10*y - 17. Let g(n) = -n**2 - 8*n + 3. Give g(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 76319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.07?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 83. What is j(-1)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c. Let o(y) = 23*y**2 - 276*y. Let u(k) = o(k) + 138*t(k). Let l(z) = -z + 1. Let w(q) = 7*q - 6. Let n(r) = -6*l(r) - w(r). Give n(u(p)).\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 0. Let f(j) = j**3 + 4*j**2 - 5. Let w be f(r). Let x = 40 + -119\/3. Sort w, -3, x in descending order.\nAnswer: x, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96980069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 370 - 365. Find the third derivative of 11*u**2 - q*u**2 - u**5 - 17*u**4 + 2*u**2 - 2 - 12*u**4 + 3 wrt u.\nAnswer: -60*u**2 - 696*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2087295 millennia?\nAnswer: 20.87295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + f**2 + 3*f)*(-24318 + 48270 + 399*f - 23950 - 173*f**2) in the form u*f**4 + y + m*f**2 + r*f**3 + g*f and give r.\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 take away -0.1653?\nAnswer: -134.8347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417 + 102 - 2*y + 150 + 205 + 170 - 168.\nAnswer: -2*y + 876","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2080 and 33762430?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4, -49, -136, -271, -460, -709?\n\"Answer: -h**3 - 15*h**2 + 7*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 180*b**2 + 3958*b + 17700.\nAnswer: 2*(b + 6)*(b + 25)*(b + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 16*n - 17*n + 1213, d + 1222 = n. List the prime factors of n.\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 2310210020?\nAnswer: -2310210030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 417 - 733 = 0. Let v = 230 + t. Is 35 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 2436?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9dda (base 15) to base 13.\nAnswer: -12334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-1)*(-1 - 0)*-1. Let u(m) be the third derivative of 1\/8*m**4 + 0*m - 1\/6*m**3 + n - 6*m**2. What is u(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j**2 + 33*j - 61. Let a be d(4). Suppose -4*i - 44 + 220 = 0. Let m = a + i. Solve -m = s + 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + ((-8709)\/6 - -2). Let t = g + 1405. What is the common denominator of -58\/3 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 4:07 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -515231 (base 6) to base 13\nAnswer: -15a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*i - 3)*(0 - 1 - 2)*(15*i + 23*i + 17*i).\nAnswer: -330*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 425*a - 15745. Determine n(-41).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-2)*8\/(-40)*8\/(-182).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -845 - -1612. Let l = a - 769. What is the nearest to 2\/7 in 25, 2\/9, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 + 5*i - 2. Let v(g) = -48*g**3 + 78*g - 26. Let k(m) = 16*m**3 - 26*m + 9. Let u(z) = -7*k(z) - 2*v(z). Determine -11*t(r) + 2*u(r).\nAnswer: r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5133 + -0.2133. Let z(s) = -s**2 + 8*s + 5. Let q be z(9). Which is the second biggest value? (a) 5 (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 12. Let t = 62 - 40. What are the prime factors of z(t)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61584303?\nAnswer: 3, 11, 1866191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/124)\/((-428)\/(-6634))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 429 = 108*k + 201 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 + 30*p**2 - 23*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i - 2. Let r be c(5). Suppose 3*z - 2 = r. Let -3*f**3 + 5*f**3 + 3*f - z*f = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58163 = 37*w - 59162 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 68278 divided by 9754\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*i**2 - 1314*i + 528 = 0. What is i?\nAnswer: -88, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.931 + 0.069. Let h = l - 27.999736. Round h to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1.1, 0, -18, 8, 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 3. Suppose f = -f + c. Suppose 5*o + 2*b = 39, -1 = -f*b + 3. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 18\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.479 - -3.479016211. Round k to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 - 2*k + 4. Let n be j(-2). Suppose n*x + 420 = 20*x. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 497897074, 497897072, 497897070?\nAnswer: 497897068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 128309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*g - 78*g + 14 = -21 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(85) + sqrt(85)*-3 + sqrt(85) + sqrt(85) - sqrt(85))*6*-5)\/(2*sqrt(10)\/sqrt(2) - (sqrt(240)\/sqrt(12))\/sqrt(4)).\nAnswer: -60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 11:29 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9744311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32754 and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 108 - 3 = 4*u, -u = -3. What is the tens digit of 1*(-5)\/((-5)\/t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1615 + 209 - 862 + 1388)*(-4*v**4 + 3*v**4 + 2*v**4).\nAnswer: 2350*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21812)\/(-410) - -37) + 24\/30*1.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - (-30)\/(-9)) + (-860)\/1020. Which is the closest to -1\/3? (a) 2 (b) i (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o**2 + o**2 - 2*o**2)*(-o**3 + 2*o**3 - 2*o**3 - 2*o**3 + 3*o**3 + o**3 + (5*o - o - 5*o)*(-3*o + 3*o - 2*o**2) + 7*o**3 + 0*o**3 - 3*o**3).\nAnswer: 42*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 56347 = -3*v, -2 = 5*w + 3. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n + 20. Let s be h(11). Let b = 37 - 19. Let m = b + s. What is the lowest common multiple of 18 and m?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 3*j - 3, 4*j - 2*a + 15 = -4*a - 7*a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12073076 (base 8) in base 16?\nAnswer: 28763e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440604 is divided by 119?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (34 + -9) - 16\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4080 and 11832.\nAnswer: 118320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 - 10*v**2 - v**3 - 4*v**2 + 14*v**2.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - sqrt(704)*2*-6)**2 + sqrt(704) + (sqrt(704) + -1)*6.\nAnswer: 56*sqrt(11) + 118970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 11:32 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4078987, 4078985, 4078989, 4079005, 4079039, 4079097?\nAnswer: 4079185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-6)*7*(-195)\/546. What is the closest to -1\/3 in -17, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 2*f**3\/9 + 11*f**2\/3 + 16*f - 80. Factor o(h).\nAnswer: 2*(h + 3)*(h + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5*-10*(-54)\/900.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 - (-15 + 9) - (-10 - -2). Let v(d) = -18 - d**2 + 23 - y + 6*d**2. Let o(p) = 10*p**2 + 3*p. What is o(v(k))?\nAnswer: 250*k**4 + 15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = 17*w + 2781. Let a = 132 - w. What are the prime factors of a?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3\/2, -32\/3, -17\/9.\nAnswer: -32\/3, -17\/9, 3\/2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43.07 and 0.3.\nAnswer: 12.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okj when three letters picked without replacement from {j: 1, m: 1, n: 2, k: 2, o: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/10 - -2)\/((-36)\/(-30)). Which is the nearest to 1\/3? (a) -2\/3 (b) t (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*x**3 + 72*x**3 + 100*x**3.\nAnswer: 345*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -537 - -857. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -314\/33 + 11848\/1155. Let i = 4541\/6160 - f. Let m = i + 2687\/528. Find the common denominator of 125\/12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*u**2 - 15 + 15)*(17 - 171 + 264 + 355) to the form x + r*u**2 + i*u and give r.\nAnswer: -7440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -138*((-3)\/(-6) + -1) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (92\/20 - 5)*-300. Suppose 121*d = u*d + 14. Solve 0 = 4*n + 2*g + 18, 0*n - g - d = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 12*b - 11*b - 3*i, -24 = -5*b + 2*i. Let n(k) = k**3 + 13. Let o be n(0). Determine u so that 4*u**2 - 8*u + 2*u**3 + 9 + b*u**3 - o = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -15 + 0)*4\/(-8). Find the second derivative of o*p + p - 937*p**4 + 13 + 957*p**4 wrt p.\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. Suppose -w - w + c = 0. Sort 2, w, -1 in ascending order.\nAnswer: -1, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 3. Let f be m(3). Let u be 6\/(-3) + f + 0. Solve -u*y = -3*s + 12 - 3, -3*s - 5*y = 18 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vav when three letters picked without replacement from vvavvvvvavavvvvvvvvv.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 9:00 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 2. Let o(v) = -3*v**2 - 4. Let n be o(2). Let t = -10 - n. Let w be k(t). Solve 0*z = -w*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 1:17 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 at least as big as 4\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**4\/7 - 27*z**3\/7 - 99*z**2\/7 - 15*z - 36\/7 = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11737124*s + 1 + 11737118*s - 3 - 23474242*s + 2 - 10*s**2.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 17. Suppose -2*n - 110 = -2*i, w*i - 124 = 5*n + 152. Let m be (36\/(-7))\/(12\/n). Solve m - 58 = -3*d - 5*o, 10 = -5*d + 5*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 64804*a**2 + 271831168*a - 75122353152.\nAnswer: 4*(a - 7952)**2*(a - 297)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28\/19 (b) 2 (c) 0.2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.37 + 203.63. Which is bigger: -0.2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -5\/10886 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4*(72\/(-3))\/12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1124473 take away 1067.401?\nAnswer: -1125540.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**3 - y. Let f be b(-1). Is ((-16)\/f)\/(11\/66) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 1. Suppose 3 + 2 = 5*k. What are the prime factors of 40\/12*(w - k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12630085 + 1?\nAnswer: -12630084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 8*o + 4 = 0. Does 8 divide o\/(-4) - -1*819\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69\/271 >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**4\/6 + 3*o**3\/2 - 7*o**2 + 36*o. Let x be t(-10). What is the highest common divisor of 32 and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 21, -2.\nAnswer: -2, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19346968 by -2.\nAnswer: 9673484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1368) + -2*sqrt(1368))\/sqrt(2) - 6*(sqrt(1216) + 1 - sqrt(19) - sqrt(19)).\nAnswer: -42*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1511*i**2. Let v(m) = 2*m + 6. Let y(q) = -15*q - 40. Let l(r) = -20*v(r) - 3*y(r). Calculate l(o(c)).\nAnswer: 7555*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 379 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17188*l + 3*l**2 - 1 - 47*l**2 - 17195*l + 4 - 3.\nAnswer: -44*l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 4350?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49601 or 49604?\nAnswer: 49604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2660\/(-70) + 20 - (1 + (0 - 1)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6*(10 + -8)*-6. Is 11 a factor of l\/((-221)\/(-55) - 48\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - z + 1. Let g = 26 - 23. Let n be ((-12)\/9)\/((-2)\/g). Calculate v(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = -2*c - 18, 820*c = -3*i + 817*c - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + g - 14*g + (-3*g + 2*g + 3*g)*(-1 + 5 - 2) - 3 + 18*g - 20*g + 1.\nAnswer: -11*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 34*r**2 - 2833*r - 547. Calculate x(39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 k, and 1 g when three letters picked without replacement from {g: 2, i: 7, z: 4, k: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -51*c**2 - 11*c. Let i(z) = 25*z**2 + 5*z. Let p(k) = 9*i(k) + 4*r(k). Let y be p(-1). Solve 0 = -b + 5*b + y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 5, 117, -5, -0.99?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 != -11554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7640, 14309, 20980, 27653, 34328?\n\"Answer: r**2 + 6666*r + 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - -0.7. Let o = r + -0.9. Let h = 0.4 + o. What is the nearest to -2\/3 in h, -2\/13, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 361*r + 156. Let m be q(0). What is the greatest common factor of 3172 and m?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177829 - -177874.59104. Let m = -45.89 + x. Let s = m - -0.3. Round s to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010110201212 (base 3) in base 11?\nAnswer: -a361a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -82651, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 3*x + x)*(x**2 + 3*x**2 - 2*x**2)*(961*x - 874 + 874).\nAnswer: 3844*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 8*g - 5. Determine i(-7).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.1, -4, 1\/2 in descending order.\nAnswer: 1\/2, 0.1, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 16904368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16256653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from myvbs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 286*k**3 - 90*k**3.\nAnswer: 196*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-10) + -19*3\/(-30). Which is the fourth smallest value? (a) 0.3 (b) 2\/19 (c) s (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - u**2 + u**2 + 6 + 5*u. Let h be d(-4). What are the prime factors of ((-3)\/(-5))\/(h\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by -18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 218*o**2 - 31520*o - 63912.\nAnswer: 2*(o + 2)*(109*o - 15978)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 74443026 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-11\/6)\/h*h\/h**3)\/(h**10\/h)**(-1\/14))**(-3\/14) assuming h is positive.\nAnswer: h**(44\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*i - 63223 = -84*i + 684*i - 11015 for i.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 81 + a?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 90 = -5*w. Suppose 16*v - w = 11*v. Solve r - 21 = 5*a + 8, -5*a = 4*r + v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-6)\/10)\/((-45)\/225)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 165336251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/72)\/((-104)\/(-468)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a + 11. Let o(n) = -2*n - 2. Suppose p + 4 - 37 = 0. What is p*o(v) + 6*j(v)?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + ((0 + sqrt(175))*1)**2 - (-1 + sqrt(175))*-5) + 3 + (1*sqrt(175))**2*5 + 5.\nAnswer: 30*sqrt(7) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2813 (base 9) to base 16.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oeu when three letters picked without replacement from uoueommuueeemmmeoom?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6 - 11 + 37*u + 5 - 16*u. Let m be 700\/(-58) + 16\/232. Let k(j) = j - 1. Let f(r) = m*k(r) + h(r). Let x(z) = 3*z**2. Determine f(x(l)).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3514 (base 6) in base 16?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 2*h**2 - 4. Let j(p) = -p**3 - 6*p**2 - 4*p + 6. Let l be j(-5). Let d be ((-3)\/4)\/(l\/4). What is q(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:05 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 10:38 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.2 - 12. Is w bigger than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one quarter of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f + 1. Suppose -v - 11 = 2*k, 0 = -2*v - 3*v - k - 28. Let y be z(v). Let n be (-2)\/(-3*(-6)\/y). What is the greatest common factor of n and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 j when three letters picked without replacement from jjkjjjkkjjj?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 4*s**4\/3 + s**3\/2 + 276*s. What is the tens digit of q(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*(-1)\/(-7)*7. Let x = -2 + s. Solve -4*v - o = -5, -2*o = 2*v - 4*o + x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 34 = 5*z. Suppose -18*r + 33*r = 14*r. Put 5, -0.1, z, r in decreasing order.\nAnswer: 5, r, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 38*n - 69. Give o(-20).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**3\/5 + 358*c**2\/5 + c\/5 - 358\/5 = 0.\nAnswer: -1, 1, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 5*h**2 - 5*h**2 - 7*h**2.\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43514.5531 + 51237.82338. Let z = w + -7701.27. Let m = 22 - z. Round m to 5 dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.222 to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 45*k**2 - 172*k - 53. Is 5 a factor of j(-41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276307, -276292, -276277, -276262?\nAnswer: -276247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, k: 2, h: 6}. Give prob of picking 2 z and 1 h.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2047513 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000534236092 rounded to five dps?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 5. Let u = -5 - -9. Let d = -0.05 - -0.25. What is the second biggest value in d, u, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2562, 2566, 2570?\nAnswer: 2574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 11501*i**3 - 119*i + 119. Let j(t) = -575*t**3 + 6*t - 6. Calculate 6*g(r) + 119*j(r).\nAnswer: 581*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**3 + 7*m**2 - 5*m. Let z(i) be the second derivative of 7*i**5\/20 + 2*i**4\/3 - i**3 - 3*i. Give 6*g(n) - 5*z(n).\nAnswer: n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2097197318.\nAnswer: 2, 2357, 444887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(144)\/sqrt(4))\/sqrt(12))*-3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3 = 5. Let y(t) = 1 + 5*t + 9*t**2 - 7*t - 2*t**2 + 1. Is y(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1432999033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59039567 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -4\/2657897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 12 = -3*d - 2*o, 0 = -d + 4*o + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131746909?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -20, -u = 3*a - 0*a + 12. Let p = 13 + -8. Let j = p + u. What is the remainder when j is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 452201 (base 10) to base 2.\nAnswer: 1101110011001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3070 + 800. Suppose -h = 19*r - 24*r. What are the prime factors of r?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 3. Let a be i(-1). Solve 2*u + a + 2 = -2*j, u - j + 2 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1153.14897 to the nearest ten.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18732 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: Which is the third smallest value? (a) 0.6 (b) 3 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**6\/180 - 3*d**3\/2 - 36*d**2. Let l(b) be the first derivative of k(b). Let q(u) = -u - 2*u + u. Give l(q(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n. Let h(x) = -2 + 3 - 76*x + 65*x - 4*x. Calculate 2*h(g) - 5*k(g).\nAnswer: 5*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p + 6*p - 6*p)*(-25*p**3 - 33*p**2 + 33*p**2) + (-p**2 + p**2 - 2*p**2)*(-3*p**2 + 2*p**2 + 0*p**2) as k*p**2 + l*p**3 + c*p**4 + v + g*p and give c.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/169 - -385\/7943. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h. Let b = -21 - -21. Suppose b*j - 5*j = -45. Let l(t) = -4*t + 0*t + j*t. What is l(q(v))?\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 39 + 497*i**2 + 357*i**2 + i.\nAnswer: 854*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.065 take away 955791?\nAnswer: -955791.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -13 - (-1 - 3 - (1 - 18))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -120*m + 16. Let b be r(-5). Let w = -233 + b. What are the prime factors of w?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5204)\/(-6) - 92\/(-138).\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5)*i**2*((i*i*i*((i*i**2\/i)\/i)\/i)\/i)\/(i**5\/i) assuming i is positive.\nAnswer: i**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-20)*5\/3. Let s be (4\/(-4) + d)\/1. Suppose -19 = -3*a - s. Solve -2*b + 7 = -3*u, u = 2*b + a*u + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105 - 101. Solve 0 = -4*k + 2*f - 26, 0 = 2*k - h*f - 14 + 42 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 16417640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/15 + (1914\/55)\/((-9)\/(-13848))?\nAnswer: 2, 41, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.11 - -4.11. Let l = 17 + -19. Suppose -a + 5 = 4*o + 4*a, 15 = -2*o + a. What is the fourth biggest value in -0.4, o, k, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7*z + 6 = 0. Let p(f) = -4*f + 2. What are the prime factors of p(z)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27044)\/(-18)*(-8)\/64. Let q = b - -1526\/9. Calculate the common denominator of -27\/11 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**3\/3 + g**2\/2 - 37*g. Determine t(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - ((-4 - -2) + (7 - 6))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -6) + -3*(-303)\/(-225). Sort 3, -0.5, t, 4.\nAnswer: -0.5, t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**8\/6720 - y**6\/360 + y**5\/60 + 11*y**4\/4 - 4*y - 13. Let z(k) be the third derivative of f(k). Calculate z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 774 in -10\/59, -2\/5, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -4, -243, -3 in descending order.\nAnswer: 28, -3, -4, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nynnnnnynyyny?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*n = 18, 0*n + n = 5*t - 18. Suppose -2*z = 2*u - 4502, -z + 2255 = -u + t*u. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*1\/1*(-1 - -2). Suppose 20 = -l - w, -14 - g = l - 3*w. What is the smallest value in 2\/3, -1\/7, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1567*d**2 - 3487*d**2 + 40*d + 1773*d**2 wrt d.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -81. Let i = w + 14.4. Which is the smallest value? (a) -0.6 (b) i (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 9:23 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 17854*x. Let v(d) = -113*d. Calculate -791*v(p) - 5*z(p).\nAnswer: 113*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**2 + l + 1. Let n be y(-1). Let w = -2 - n. Let g = 7 - w. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23539, -46996, -70453, -93910?\nAnswer: -117367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**(5\/6)*f)))\/(f**(-4)\/f*f) assuming f is positive.\nAnswer: f**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91 and 2209?\nAnswer: 201019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 3151314694.092.\nAnswer: 3151314696.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t = -5*m + 12, 0 = 3*t - 4*m + 14. Let g be -3*1\/(3\/(-4)). Let l(x) = -g*x**2 - 3*x - x**3 + 0*x - 3 + 0*x**3. Calculate l(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5555090 and 176710?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 8*j - 12 = -17*j, 0 = i - 3*j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 divided by -274509.\nAnswer: -46\/91503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -21*v. Determine f(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-3) + 6 + -8. Suppose v = -4*c - 2*d + 250, 5*d = 4*c - 9*c + 305. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111589 minus 0?\nAnswer: 111589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**5 - 2*k**3 + 2*k**3)*(104 + 1 - 1)*(-1 - 9 - 1).\nAnswer: -1144*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 + 0*m**5 + 0*m**5 - 3*m**5 + 0*m**5 + 4*m**5 + (358*m**2 - 358*m**2 + 7*m**3)*(18*m**2 + 5*m**2 - 2*m**2) + 4*m**5 - 2*m**5 - 4*m**5.\nAnswer: 147*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37098 and 167022.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 910304363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23\/4*k**3 - 5\/4*k**4 - 9\/2 - 51\/4*k - 5\/4*k**2 = 0. Calculate k.\nAnswer: -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 + 5*z - 3. Let u be d(3). Let h(r) = -4*r - 3. Let y(t) = t. Calculate u*y(i) - h(i).\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52750854 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -964 + 964.4. Which is the biggest value? (a) 0.7 (b) y (c) 11\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 34958176561*o**2 + 2 + 34958176560*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.047 + 2.9.\nAnswer: 2.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 302.7 greater than or equal to 3509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 - -92. Let j(b) = -b**3 - 9*b**2. Let z(f) = f - 1. Let t(r) = -j(r) + z(r). Is t(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -2\/3 (c) -50 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31028 + 145?\nAnswer: 31173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47920 and 431280?\nAnswer: 431280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6896*a + 166085 = -61483 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/((r\/r**(1\/2)*r*r)\/r)*r*r)**(-3))**(1\/19))**(-33))**(-4\/3) assuming r is positive.\nAnswer: r**(-198\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 12*h + 13. Let o be p(-11). Let q be 18*((-3)\/o)\/(-3). Let x be 20\/q + (-3)\/((-189)\/(-14)). Solve x*r + 22 = -4*y, 19 + 10 = -3*r - 5*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*25\/((-2700)\/(-27))*-70.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14627069 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a**(-4\/3))\/(a\/a**(2\/17)*a**6) assuming a is positive.\nAnswer: a**(-572\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*y**2 - 59*y**2 + 2041*y**2.\nAnswer: 2132*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8*c + 3. Let z(m) = -9477*m + 3159. Give -2106*r(w) + 2*z(w).\nAnswer: -2106*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -293, -302, -315, -332?\n\"Answer: -2*l**2 - 3*l - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.15467189 to three dps.\nAnswer: 54.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7384\/5 (b) -5 (c) 1 (d) -75 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 44421.3 to the nearest 100.\nAnswer: 44400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6833 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 c(r) = -44*r**2. Let w(g) = 10*g - 5. Give c(w(s)).\nAnswer: -4400*s**2 + 4400*s - 1100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15518973?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**15*v*v)\/(v*v**(-1\/20)))**(-5\/6) assuming v is positive.\nAnswer: v**(-107\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 8*q**2 - 1. Let s be x(8). Let o = 6 + s. Suppose 9*c - 374 + 149 = 0. Solve 0 = -4*h + c - o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, y: 2}. Give prob of picking 2 w and 1 y.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 5*n - 9. Let b be t(7). Suppose 0 = 4*p + 4*j + 81620, -b*p = -4*j + 11610 + 90370. Round p to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 237 - 134 - 187*b - 2*b**3 + 10*b**2 - 104 - 15*b**2 to l*b**3 + r*b**2 + c + d*b and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -30*b - 2. Let x(i) be the first derivative of -i**2\/2 - 3487. Calculate g(c) - 4*x(c).\nAnswer: -26*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 - 154 - (-9 - -36) - 26?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86.62 - -140.62. What is the closest to -1\/3 in 0.1, 3, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huhhoouuubouhou. What is prob of sequence ho?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 2452*t + 141192.\nAnswer: -4*(t - 666)*(t + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*f - 16, 20 = -5*r - 0*f - 5*f. Let q(c) = -8 - 8 - 2*c + 62. Is q(r) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -19. Solve z*h + 3*q = 12, -2*h - 9 = h - 4*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r - 71120 = 326*r - 1631*r for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + 4 + -7 - (-17 - (9 + -34)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115*g - 69 + 46*g - 19*g wrt g.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**2 + 7*x - 3. What is the tens digit of d(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 127?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*j*p*s**2 + 18*b**2*p*s**3 - 190*b*j*p*s**3 - 2*b*j*s**3 + b*p*s**3 + p wrt b?\nAnswer: -4*j*p*s**2 + 36*p*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -749*y - 548*y - 47*y - 437*y - 336*y to the form d*y + u and give d.\nAnswer: -2117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -3\/7 (b) 0.09 (c) -2 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 12. Let g be f(-9). Let y = 17 + g. Calculate the remainder when 84 is divided by 4*((-9)\/y - -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2120 (base 4) to base 7.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212567 is divided by 8856?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 812354096?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 3. Let f(y) be the third derivative of y**5\/60 + y**4\/24 - 7*y**3\/3 - 113*y**2. What is the units digit of f(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 279 = o. Suppose 3*z + 3*c - o = 0, -2*z - 3*c + 373 = 2*z. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459409 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, w: 3}. Give prob of sequence wbww.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48\/47 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2640, 20726, 69700, 165006, 322088?\nAnswer: 556390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q - 30 - 12 + 104 - 36 - 26.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -3516779.\nAnswer: -7033558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1224, 2452, 3680, 4908, 6136, 7364?\n\"Answer: 1228*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**3 + 13*a**2 - 2*a - 10. Determine j(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 2*f**3\/9 - f**2\/3 + 108. Factor d(c).\nAnswer: 2*c*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of ((-9)\/2 + -1)\/(16\/(-1344))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 272 and 48?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*v - 12381 + 3248 - 3659 = 0 for v.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 14*h**2 - 351*h.\nAnswer: h*(h - 27)*(h + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (136 + -146 - (-1 + -12)) + (1 - 10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 (base 10) in base 3?\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 + 52*k**2 - 3*k + 90. Let v be x(26). Let w be (-39 + 33)\/(9\/v). Let z(a) = a**3 + 9*a**2 + 8*a + 6. Give z(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(76) - (sqrt(76) + sqrt(76) + 4 - sqrt(76))))*3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 2. Let a be h(-2). Let w(d) = -d**2 - 2*d + 1. Let x be w(a). Sort x, -28, 3 in increasing order.\nAnswer: -28, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r + 42. Suppose 2*k - r = k. Suppose -2*i + k = l, -2*i - 2*l + 13 = -7. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 118*h - 641. What is the units digit of r(47)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from {q: 2, a: 6, w: 9}.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**5\/60 + 7*j**4\/24 - j**3\/3 + j**2. Suppose c = x - 6, -7*c + 4*c - 2*x - 23 = 0. Give q(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365438?\nAnswer: 2, 73, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**2\/4 + 3009*o\/4 = 0.\nAnswer: 0, 1003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.58 + -1.3. What is w rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295085 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 800.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r + 7. Let w be (2 - -2) + 2 + -11. Let d be a(w). Let k = 97 - d. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/63003084 and -67\/52502570?\nAnswer: 315015420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kksc when four letters picked without replacement from sslkkskkrlklscckr.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 + (4 - 4) - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-26)*(-3)\/(-6). Let x be (-430)\/(-602)*(-7)\/(-2)*4\/(-65). Is x not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2080 or 2079?\nAnswer: 2080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1181\/61 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -858002, -857685, -857142, -856361, -855330?\n\"Answer: 2*s**3 + 101*s**2 - 858105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 75365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 90, 99, 114, 135?\n\"Answer: 3*x**2 + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((4*(0 + sqrt(147)))**2 - (1*sqrt(12) + (sqrt(12)\/(sqrt(100) - sqrt(4)) - sqrt(3))))*-5.\nAnswer: -11757 + 25*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) -129 (b) 3 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w - 7*w - 2*w**2 - 13*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 6*s**2 + 121*s - 430. Give f(14).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 times 0.98?\nAnswer: 634.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 21, 28, 31, 30, 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -33\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 1.2 (b) 0.1 (c) -83 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 84.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**2 - x + 1. Let u be m(1). Let v be 6\/(-33) - (-101)\/11. Suppose 3*y + 6 = 2*z, 26*y - 28*y = 3*z + 4. Sort v, u, z.\nAnswer: u, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-28) - (27\/14 - -10)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94656 is divided by 93801?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, r: 1, i: 1}. Give prob of picking 2 b.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -240 divided by 120\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 83*f**2 + 31*f - 54. What are the prime factors of n(-9)?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19816 is divided by 583?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -5*i**4\/24 + i**3\/6 + 3*i**2. What is the units digit of g(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by -27.\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/4320 and -91\/320?\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1114 - 1011. Which is smaller: w or 104?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5078.015mg in grams?\nAnswer: 5.078015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78620491421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**3 - 16*c**2 - 8*c + 1. Let w be (80\/12)\/10*(-30)\/4. Let m be (0 - -2) + (-17 - w). Is h(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 94 - 16776?\nAnswer: -16682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**24*h)\/(h\/(h*h\/((h*h\/(h**(2\/5)\/h*h))\/h)*h)) assuming h is positive.\nAnswer: h**(132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 10*c + 251 - 247 = 0, 0 = -3*m + 2*c + 32 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12 + 0.1. Let t = 0.02 - k. Let n = -0.2 + -0.8. Which is the smallest value? (a) t (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 1465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**5\/20 - u**4\/2 - 3*u**3\/2 - 5*u**2\/2 - 2324*u - 2. Give w(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*3*(-8)\/(-18). Suppose o*a + 3*z + 4 = 0, -a - z = a. Solve 10 = -0*d - a*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1780*m + 3561*m - 1784*m. Let y(o) = -30*o**2 - 5*o - 4. Let t(s) = 15*s**2 + 2*s + 2. Let r(q) = -5*t(q) - 2*y(q). What is b(r(k))?\nAnswer: 45*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 w, and 1 m when three letters picked without replacement from {e: 2, r: 1, q: 10, m: 2, w: 2, f: 2}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**3\/6 + w**2 + 478*w. Give d(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2028 + 23*z**3 - 248 + 22*z**3 - 1089.\nAnswer: 45*z**3 - 3365","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 19*p - 21*p. Let f(g) be the third derivative of g**5\/60 + g**4\/3 - 11*g**3\/6 - 2*g**2. Calculate f(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/651998 and 101\/4.\nAnswer: 1303996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 6. Which is the closest to 1\/4? (a) -3\/4 (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4058 divide 1234386788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.128 - 0.428. Let o be (-84)\/20 - (-2)\/10. Which is the second smallest value? (a) -6 (b) z (c) o (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 4*l**2 + 6*l + 11. Let r be u(-5). Which is bigger: r or -45?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/27338418 and 52\/45.\nAnswer: 136692090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) 6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 divided by 8?\nAnswer: -263\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 747597053 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 15 - 3. Put 1, 0, 15, h in decreasing order.\nAnswer: 15, h, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from millilypllyyili. Give prob of sequence mp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 15*u - 12. Let i(j) = 11*j - 7. Let b(g) = -5*g + 3. Let q(w) = -5*b(w) - 3*i(w). Let v(h) = -3*m(h) - 5*q(h). Differentiate v(s) wrt s.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2361.9645 months?\nAnswer: 0.196830375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121113130200 + 100?\nAnswer: -121113130100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47012921*v + 0 - 2 + 2.\nAnswer: 47012921*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18570 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, -3, 35115, -23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8627610 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 3\/6)*-2. Let m be (2 - x)*(9 - -2). What is the highest common factor of 55 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4087.\nAnswer: 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*m = 3*w - 172, -5*w - m = -184. Let h be (-1)\/(6\/w) + 10. Sort h, 5, -5, -2 in increasing order.\nAnswer: -5, -2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2 - 62952*o + 16183356 = 0. What is o?\nAnswer: -21238, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + (sqrt(192) + 2*sqrt(192))*-5 + sqrt(192) + sqrt(192)))**2 + (1*sqrt(24)\/sqrt(8) + -3 + sqrt(48) + -5)**2.\nAnswer: -80*sqrt(3) + 292171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -222, -223, -224, -225, -226, -227?\n\"Answer: -z - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22581431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3 = -2*l. Let q be -50 + l + -3 + 6. Let y = q - -74. Is y a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 7:30 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 2*x - 9*m + 36, 9 = -x + 2*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -19 + 4*x - 11*x**2 + 8*x**2 + 5*x**2 - x**3 + 7*x**2. Let y be f(9). Suppose -2*c + 14 = 4. Solve 2*s - y = s - 4*j, 5*s + c = -2*j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 4. Suppose -c - a*g - 5 - 5 = 0, 0 = 5*c + 5*g + 10. Suppose c*p - 5*b + 7 = 4*p, 5*b = -3*p + 8. Let l(z) = -z**3 + z**2. Give l(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.35 + -0.28. Let c = 1.47 - 1.4. Let p = b - c. Put 0.2, p, 1 in descending order.\nAnswer: 1, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 0 - 5)*(2 - 2 - w) + 2*w - 3*w + 0*w + 3*w - w + 0*w)*(32 - 12 - 13)*(-11 - 1 - 2) in the form b*w + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**4\/2 - 5*z**3 - z**2\/2 - 6*z + 12. What is the remainder when 97 is divided by d(8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 22010.67cm?\nAnswer: 220106700000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s + 530438 = 21802 - 527684. Is 30 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 22 = -4*d. What is the first derivative of -d + 29 + 24 - 52*b - 13*b wrt b?\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2. Let g(k) = k**2 - 77*k + 2. Let u be g(0). Let c(a) be the first derivative of -2\/3*a**3 + 0*a**u + 0*a - 28. Give c(i(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4867641 and 2594?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 275*w**3 - 8820*w**2 + 448*w + 6144.\nAnswer: (w - 32)*(5*w + 4)*(55*w - 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 19*q - 4. Let f be t(4). Suppose 12 = 4*k - f. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.91518 + -0.08482. Let g = 0.1 + 1.9. Which is the smallest value? (a) 1 (b) g (c) -0.2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 54*d - 19. What is the units digit of g(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/((-1035)\/162))\/((-6)\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10 + (-325699)\/32868 - (-3)\/(-4 - -31) and -25\/208.\nAnswer: 17264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/506 and -113\/2212.\nAnswer: 559636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 0, 3\/5, 0.12, -4, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/9576 and -169\/14364.\nAnswer: 28728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**3 - 20*k**2 + 9*k - 39. Let f be n(7). Solve -55 = 3*d - f for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 - p**2 - 172*p - 3. Determine u(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 5*u**2 - u + 6. Let m be v(-4). Let a(g) = -g + 20. What is the remainder when 77 is divided by a(m)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/7*j + 6\/7*j**2 - 24\/7 - 3\/7*j**3.\nAnswer: -3*(j - 2)**2*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + 2*d**4 + 4*d - 1 + 12*d**3 + 3 - 27*d**3 + 13*d**3 to the form q*d + x*d**2 + h + z*d**4 + l*d**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -161, -163, -169, -179?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294 and 1399649622?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f*q**6 - 4*f*q**2 + 5*f*q + 122*f - q**6 - 135*q**4 wrt q?\nAnswer: 120*f*q**3 - 120*q**3 - 3240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -369*n*z**3 - 12*n*z**2 + 7*n*z - 21*n + 2*z**3 - z**2 - 79*z + 5 wrt z?\nAnswer: -2214*n*z - 24*n + 12*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/162339 and -56\/33693.\nAnswer: 1785729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 6*n + 8. Let c be b(5). Let x(o) be the second derivative of -7*o + 0 - o**c + 1\/2*o**2. Find the first derivative of x(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyeeeyeyyee. What is prob of sequence ey?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 17*q**3 - 2*q**2 + 3*q - 2. Let s be c(1). Suppose -s + 11 = -h. Let r be 0\/((-15)\/h - -4). Solve r = 3*u - 23 + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121 + -66. Let s = -721818391 - -721818446.0000023. Let u = s - y. Round u to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 333 + -328. Calculate the least common multiple of j and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p - 440. Calculate u(-23).\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-3) - (-13)\/39. Suppose 0 = -2*t + m*t + 5. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -i + 4*i - 9, 2*i - 2 = 4*g. Let n = 138296 - 138294. Determine s so that 0 + 0*s + n*s**5 - g*s**3 + 4\/7*s**4 - 4\/7*s**2 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15470370863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -12. Let p(f) = -2*f - 4. Let d be p(-4). Calculate the lowest common multiple of 1\/(d\/52) + -2 and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-21)\/28)\/(3\/(-12)). Suppose -q - 5*p = -46, 0 = u*q - p + 3*p - 125. List the prime factors of q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 8*k - 19. Let j(h) = h**2 - 5*h - 2. Give j(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, r: 1, x: 1}. Give prob of sequence erex.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -172*v + 2330. Determine m(14).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)*r*r*r**(-3))\/(r**(-9)\/r**(2\/5))*(r**(2\/5))**(2\/41)*r**(-4)*r**(-2\/9) assuming r is positive.\nAnswer: r**(-5171\/1845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -9\/2524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0 + 5 = 0. Is 1\/28 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -74. Let q = f + -157\/4. What is the common denominator of q and -51\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(4\/11))\/a**13)\/(a*a*a\/(a\/(a\/a**(-10\/9)*a))*a\/(a*a**(-2))*a) assuming a is positive.\nAnswer: a**(-1955\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, u: 2}. What is prob of picking 1 k and 1 u?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/5 - 6328*n**2\/5 + 996008*n + 40246336\/5.\nAnswer: 2*(n - 1586)**2*(n + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*p = 0, -4*p + p = -4*d + 7*d - 6*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**4 - 55*b**2 + 2*b + 2416. Let r(z) = -19*z**2 + z. Let d(a) = -6*r(a) + 3*w(a). What is the derivative of d(c) wrt c?\nAnswer: -36*c**3 - 102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152)\/(-2280)*(-15)\/(-6)*4*-24?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170 and 350999476.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 18*a - 934. Give y(50).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -127, 27, 1 in ascending order.\nAnswer: -127, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -44*w + 83. Let h be ((-12)\/(-64)*-4)\/(3\/36). Is l(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/57, 22206, 1?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 185 + 3. Suppose -37 = -a - 4*p, 2*p + d = 4*a - 2*p. Suppose z = 4*z - a. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4088024 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.78487344 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h**3 + 19*h**2 + 38*h + 172. Give o(-4).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4659.35065 to 1 decimal place.\nAnswer: 4659.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -305.427659 to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9158.\nAnswer: 2, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -431 + 1410. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156017357*r**4 - 332105961*r wrt r?\nAnswer: 1872208284*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**7*z\/(z*z**(-4\/7)) assuming z is positive.\nAnswer: z**(53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - -22 - ((1 - 1) + -7).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.429299t to grams.\nAnswer: 5429299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/18)\/((-2)\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 19*n**2 - 659*n + 27546. Let g(l) = 60*l**2 - 1976*l + 82636. Let m(s) = -5*g(s) + 16*r(s). Factor m(y).\nAnswer: 4*(y - 83)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*(40\/(-78))\/(-5)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -695, -1391, -2087, -2783, -3479?\n\"Answer: -696*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - 0) + (0 - (9 + -22) - 8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -31*g**2. Let u(x) = -11*x**2 + 8*x + 8. Let c(w) = 4*w**2 - 3*w - 3. Let q(h) = -8*c(h) - 3*u(h). Give o(q(j)).\nAnswer: -31*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-7) - (-29 + 8910\/315)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o*t**4 - 5*o*t**3 - 310163*o*t**2 - 7*o - 2*t**4 + 66217*t**3 wrt t.\nAnswer: -96*o*t - 30*o - 48*t + 397302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/5*90\/(-27). Calculate the highest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100.9 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 7*z**2 - 9*z + 4. Let m be w(8). Let s = m + 7. Solve s*b - b = 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 c, and 1 n when three letters picked without replacement from afacfonccfffaf.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -75 - -8 - (74 - 147)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -11. What is the second biggest value in t, 0.19, 1?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 - -16.9. Let f = n + -19.15. Let c = f - -0.150007. Round c to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -7. Let k(i) be the third derivative of 0 + 0*i - 1\/120*i**6 + g*i**3 + 1\/24*i**4 + 0*i**5 + i**2. Factor k(j).\nAnswer: -j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a - 112*a - 47*a + 31*a - 130*a.\nAnswer: -267*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(q\/(q**(-4\/3)\/q*q*q)))*q)**45 assuming q is positive.\nAnswer: q**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.3 + -13. What is the nearest to -2 in -0.06, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 - -84. Suppose 12 = 3*f - 3*h, 5*f + 0*h = 2*h + o. Solve c = -f*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -6*z + 165. Let t = 26 - z. Let r(u) = u**3 + 7*u**2 - 4. Let o be r(-7). Which is greater: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g. Let r be p(-2). Let f be (1\/7 - 0)*1. Let w = 12 - 9. What is the closest to 0.2 in w, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 27 - 127 = 0. Let j = -2 - -1.8. Which is the smallest value? (a) j (b) -2\/15 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(2\/3)*h))\/h)**(1\/10)\/(h**(1\/2)*(h\/h**(-5\/2))\/h) assuming h is positive.\nAnswer: h**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2.08, -0.5, 9, 4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1026 - -1024. What is the nearest to s in -14, 0.2, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4204 - -46175. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 390366?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 - 21 = -9*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 252 - 2266\/9. Let u = -14.3 - -13.3. What is the second smallest value in l, 2, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*x - 0*x - 1, -5*p + x + 9 = 0. Let g(n) be the first derivative of n**2\/2 + 46. What is the remainder when g(p) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29.6 + 29.411. What is y rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -b, 11*c = -5*b + 6*c - 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (7 - 4)) + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*1\/1)\/((-217)\/(-62))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -645.00024902 + 645. What is x rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 15) to base 13\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111 (base 2) to base 6.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6 - 5. Let o(n) = 43*n**2 + n. Let j be o(t). What are the prime factors of 2\/(-2)*(2 - j)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8019 divided by -1\nAnswer: -8019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*b - 29 - 17, 3*b = 4*t - 92. What is the highest common divisor of t and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 976275.384 rounded to the nearest 1000?\nAnswer: 976000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 3:22 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12535538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 2:37 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2995 (base 11) to base 5.\nAnswer: 110410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2588726789 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 255*p**2 - 14*p + 14. What are the prime factors of t(-4)?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1 = -2*g - 2*n, 0 = -2*n - 4. Let q be 2 + ((-3)\/(-42)*-34)\/g. Which is the fourth smallest value? (a) 2\/13 (b) 6 (c) q (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*b - 25\/2*b**2 + 1\/4*b**4 + 11*b**3 - 135\/4 = 0 for b.\nAnswer: -45, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 584 (base 14) to base 10.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-50)\/(-18) + (-6)\/(-27). Solve -2*h - d*h + 16 = -k, 5*k + h = -2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1210\/15 - -8)*12*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1863278*h**2*r + 13*r - 1135 wrt h?\nAnswer: 3726556*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 25083.165 hours?\nAnswer: 1045.131875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cb5550 + 10?\nAnswer: -cb5540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3\/3 - 240*m**2 + 1452*m = 0. Calculate m.\nAnswer: -726, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**2\/2 + 8*r - 4. What are the prime factors of c(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5736 by 6.\nAnswer: -956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1420277486 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 971*d - 3*d**2 + 2*d**2 - 2 - 4*d**2 - 934*d + 0 as v + g*d**3 + p*d + l*d**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 bigger than 90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 8*u. Let m be l(7). Let v(c) = -c**3 - 7*c**2 - 2*c + 6. Calculate the remainder when v(m) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22896061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 1\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -138*w + 418*w**2 - 145*w - 416*w**2 + 55*w + 226 = 0.\nAnswer: 1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 - 202*l - 15879. Calculate r(113).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1112 = -594*l + 80*l + 5224 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 4*h. Let j(s) = 3*s**2 + 4. Let g be j(4). Let w = g + h. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145745 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 4)*(-4*r - 2*r + 4*r)*(1443*r**2 + 1559*r**2 - 3229*r**2 + 2) to the form y*r**2 + m*r**3 + l*r + p and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/126)\/(5\/20).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10848)\/(-3164))\/(3\/4*72\/189).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*f**3 - f**3 + 5*f**3 + (f - 2*f + 2*f)*(-20*f**2 + 4*f**2 - 14*f**2).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1118718*q**6 + 2*q**2 + q - 63384.\nAnswer: -134246160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*l - 1 - 191*l + 18*l)*(3 - 5 + 1)*(-6 - 21 - 14) as r*l + s and give r.\nAnswer: -6519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + ((-2 + 0)\/(-1))\/(450\/8325). Which is bigger: t or 6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 6 - (-3 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 c, and 1 f when four letters picked without replacement from ecfgfgfggwreggc?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1128?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 2*u**3\/3 + 3*u**2 - 12*u. Differentiate c(f) wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 - 5)*(127*m - 71*m + 323*m + 109*m + 29*m).\nAnswer: -5687*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 0*k - 5*k - 1 + k. What is the remainder when x(6) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, c: 2, d: 3, h: 4}. Give prob of picking 1 c and 3 d.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3413*q**3 + 6123*q**3 - 1573*q**3 + 2915*q**3 + 4839*q**3.\nAnswer: 15717*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 + 7 + 6*p - 16*p + 11*p wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511192.\nAnswer: 2, 11, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.147 - -0.447. Let y be 15\/220 + 4\/22. Which is the closest to 0? (a) 1 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2630651 or 2630653?\nAnswer: 2630653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**6\/180 - 5*o**4\/2 + 28*o. Let i(x) be the third derivative of v(x). Let y(w) = 7*w**2. Give y(i(k)).\nAnswer: 112*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-8)\/12 + 4. Suppose -88 = -4*k + q*f, 0*k - 66 = -3*k - 4*f. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8000*(-1 - -282)*1\/(-8)*-8. Round h to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 158*x - 625. Let k be q(4). Let g(m) = -2*m**3 - 5*m**2 - 11*m. Let s(n) = n**3 + 2*n**2 + 5*n. Determine k*s(d) + 3*g(d).\nAnswer: d**3 - d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s - 24. Determine o(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 3*m**2 - 2*m + 2. Suppose 6*l = -0*l + 30. Let x = l - 2. Give v(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.295*-284.\nAnswer: 1219.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.4205 + 30.4169. Let n = -21 + q. What is n rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33451253291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -264, -2, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d**2 + d**3 - 3*d - 4*d + 3 + 0*d**3 + 5*d. Is f(-7) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2489776 is divided by 250.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = j - 6. Suppose 0 = 4*z - j - 5. Suppose 2*v - 173 = 5*u, -u = -z*v - 0*v + 153. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((0 - 81) + -6 + 0 + (15 - 13))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45? (a) 1 (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -49*t**6\/15 + 203*t**5\/10 - 47*t**4 + 160*t**3\/3 - 32*t**2 - 111*t. Find g such that s(g) = 0.\nAnswer: 4\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-43972632)\/(-6045))\/(-199) + 72\/2)*(-5)\/2.\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 3*f**5\/20 + 5*f**4\/12 - 7*f**3\/6 - 5*f**2 + 7*f - 10. Let q be h(-2). Factor -2\/3*v**3 + 4\/3*v**2 + 0*v + q.\nAnswer: -2*v**2*(v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -29*u + 167. Calculate the smallest common multiple of 5960 and v(5).\nAnswer: 65560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1022 - 407. Suppose -4*x + m = -x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 44 = -t, -16 = 2*t + 2*t. Put j, -10, 4 in descending order.\nAnswer: j, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 4. Let a = -5 + f. Let i = -0.99994 + a. What is i rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 2*n**2 + n. Let r(a) = -18*a**3 + 2*a**2 - 3*a. Calculate 2*r(h) + 6*z(h).\nAnswer: -42*h**3 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-9)*18\/(-120).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115470.63 months to years.\nAnswer: 9622.5525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**4 + 4*p - 4*p)*(6 - 6 + p + (-3 + 4 + 1)*(-2*p - p - p)).\nAnswer: 21*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0 = -9. Let r(s) = -s**2 + 5*s - 4. Let i be r(y). Suppose -3*k + 18 = m, -4*m + 0*k + 4*k = -56. Solve -i*t - m = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*p**2 - 140*p**2 + 34*p**2 + 39*p**2 - 6*p**3 + 22 + 36*p**2 to the form h + w*p + r*p**2 + k*p**3 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y + 68. What is l(16)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 5*b**2 + 4*b - 5. Let j be u(-4). Let z(t) = 4*t**2 - 2 - 586*t - 2 + 583*t. List the prime factors of z(j).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 16 - 32. Let c(p) be the second derivative of 1\/3*p**r + 0*p**3 + 3*p - p**2 + 0*p**5 - 1\/15*p**6 + 0. Factor c(k).\nAnswer: -2*(k - 1)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*j - 15. Suppose 2*f = -3 + j. Suppose f = g - 11. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 32*f**3 + 37*f**2 - 115*f + 65. Let u be (-12)\/(-2) - (0 + -5). Let d(z) = -16*z**3 - 18*z**2 + 57*z - 33. Let v(m) = u*d(m) + 6*t(m). Factor v(i).\nAnswer: (i + 3)*(4*i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.37 - 1.\nAnswer: -3.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 8*d - 14. Let t be g(-6). Let w(x) = x**2 - 2*x + 2*x + 1. Let r be w(t). Let p(y) = -y**2 + 5*y - 6. Calculate p(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z. Let c(b) = -5*b. Let u(a) = 2*c(a) + 9*f(a). Let g(w) = w. Suppose 0*q + 6*q = -18. Give q*g(d) - 5*u(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -829\/7 + 12753\/112. Calculate the common denominator of -101\/4 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4883?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 618041 by -4.\nAnswer: -618041\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(2592)*-3)\/(-2*sqrt(9)*-4))**2.\nAnswer: 243\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 0*m - m)*(-m + 3*m - 3*m)*(-20*m + 20*m + 19*m**2) in the form y + l*m + d*m**4 + r*m**3 + c*m**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**3\/2 + 183*y**2\/2 - 7*y. Let r be f(5). Let b be 2\/4 - (-166)\/4. What is the highest common factor of r and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9\/146 + -59\/365. Which is the third biggest value? (a) 0.3 (b) 1\/3 (c) -4\/3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 32, 103, 244, 479, 832?\nAnswer: 1327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**5 + 4*c**5 + 2*c**5 + (-2*c - c - 3*c)*(-c - c - c)*(-2*c**3 + 2*c**3 - 2*c**3).\nAnswer: -35*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 2:37 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3551, -3552, -3553, -3554, -3555, -3556?\nAnswer: -3557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*i + 69 - 1334 = 163 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 58*v**2 + 5*v - 67. Let t(w) = 20*w**2 + 2*w - 23. Calculate 4*g(m) - 11*t(m).\nAnswer: 12*m**2 - 2*m - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -24. Let t(i) = -7 + 2*i - 1 - i + 4*i. What is the smallest common multiple of t(4) and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/(-210))\/((-7)\/(-1505)) and 2\/5*-7*50\/54?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 19. Let w be z(0). Let r = w + 19. Suppose r = -i + 54 - 14. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8927 divided by 2448.\nAnswer: -8927\/2448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 9 - 5*s**3 + 14.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 - t**2 - 3*t + 2. Let j be (-1)\/3*-2*3. Suppose -d = j*o - 15, d - 13 = -o - 2. Calculate the lowest common multiple of s(2) and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 15*h**2 + 16*h + 2. Let l be x(16). Suppose 0 = -5*k, l*p - k - 786 = 4*k. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*w**6 - w**3 + 2*w**2 - 64*w wrt w?\nAnswer: 9720*w**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - t = 91, -94 = 4*h - 6*h + 2*t. Let f be 10\/8 + (-11)\/h. Let q(l) = 4*l**2 + 2*l - 1. Calculate q(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21, -186, -369, -576, -813, -1086, -1401?\n\"Answer: -z**3 - 3*z**2 - 149*z + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/(6\/60). What is the derivative of -3 + 0 - 9 - p*k**2 + 0 wrt k?\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + l = -0*h - 1, 0 = 5*l + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x**2 - 2*x + 6. Let p = -855 + 860. Let m(y) = 15*y**2 + 5*y - 13. Determine p*b(k) + 2*m(k).\nAnswer: -5*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 36 - (-8 + 18 - 18) - 4 - -5\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12116, 13173, 14230, 15287?\nAnswer: 16344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3948 and 66.\nAnswer: 43428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.859 - -0.849. Sort -0.3, 0.23, o in increasing order.\nAnswer: -0.3, o, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -13*g - 1. Suppose 3*x = 21173 - 21089. What is the remainder when v(-6) is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (2 - -260) + -1 + 1 + -6 and 64?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/11 + 350*i**3\/11 - 4212*i**2\/11 = 0. What is i?\nAnswer: 0, 13, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 10*o**2 - 16*o + 3. Give v(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/350*-7*25\/(-2). Let o(u) = -u - 11. Let b(z) = z + 17. Determine q*b(v) + 8*o(v).\nAnswer: -3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(84)\/(sqrt(1200)*-2).\nAnswer: -sqrt(7)\/20 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmccmcmccmcbcc. What is prob of picking 1 c and 1 b?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -998621.7 and 1.2.\nAnswer: -998620.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**3 + 98871*m - 335770?\nAnswer: 3*m**2 + 98871","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43549594\/9 or 4838845?\nAnswer: 43549594\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 53 + 14*w - 53 as g*w + j and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/2 - (0 - -8). Suppose -250*j - 5*f = -253*j + 7, 0 = -4*j + 4*f + 4. Are q and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}